Measuring the Impacts of Teachers II: Teacher Value-Added and Student Outcomes in Adulthood
Open accessAbstract
Are teachers' impacts on students' test scores (value-added) a good measure of their quality? This question has sparked debate partly because of a lack of evidence on whether high value-added (VA) teachers improve students' long-term outcomes. Using school district and tax records for more than one million children, we find that students assigned to high-VA teachers are more likely to attend college, earn higher salaries, and are less likely to have children as teenagers. Replacing a teacher whose VA is in the bottom 5 percent with an average teacher would increase the present value of students' lifetime income by approximately $250,000 per classroom. (JEL H75, I21, J24, J45)
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- Premisecitation
Conditioning on prior test scores and other observables is adequate to obtain unbiased estimates of teachers' causal impacts on test scores.
“Our first method of estimating teachers' long-term impacts builds on our finding that conditioning on prior test scores and other observables is adequate to obtain unbiased estimates of teachers' causal impacts on test scores (Chetty, Friedman, and Rockoff 2014).”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Chetty, Friedman, and Rockoff 2014 source
- Findingown data
Teachers' impacts on test scores fade out rapidly in subsequent grades.
“We confirm this rapid fade-out in our data”
Quote in the paperSubstantial claim - Findingown data
Students assigned to high-VA teachers are more likely to attend college.
“we find that students assigned to high-VA teachers are more likely to attend college, earn higher salaries, and are less likely to have children as teenagers.”
Quote in the paperSubstantial claim - Findingown data
Students assigned to high-VA teachers earn higher salaries.
“we find that students assigned to high-VA teachers are more likely to attend college, earn higher salaries, and are less likely to have children as teenagers.”
Quote in the paperSubstantial claim - Findingown data
At age 28, a one standard deviation increase in teacher quality in a single grade raises annual earnings by 1.3 percent.
“At age 28, the oldest age at which we currently have a sufficiently large sample size to estimate earnings impacts, a one standard deviation increase in teacher quality in a single grade raises annual earnings by 1.3 percent.”
Quote in the paperSubstantial claim
- Findingown data
Teachers' impacts on earnings are similar to what one would predict based on the cross-sectional correlation between earnings and contemporaneous test score gains.
“We confirm this rapid fade-out in our data, but find that teachers' impacts on earnings are similar to what one would predict based on the cross-sectional correlation between earnings and contemporaneous test score gains.”
Quote in the paperSubstantial claim - Findingown data
Improvements in average teacher VA also increase the quality of colleges which students attend.
“Improvements in average teacher VA also increase the quality of colleges which students attend.”
Quote in the paperSubstantial claim - Findingnone given
Improvements in English teacher quality have larger impacts than improvements in math teacher quality.
“Improvements in English teacher quality have larger impacts than improvements in math teacher quality.”
Quote in the paperSubstantial claim - Findingown data
The impacts on college outcomes are statistically significant with p < 0.01.
“The impacts on college outcomes are statistically significant with p < 0.01.”
Quote in the paperSubstantial claim - Findingown data
Students assigned to high-VA teachers are less likely to have children as teenagers.
“we find that students assigned to high-VA teachers are more likely to attend college, earn higher salaries, and are less likely to have children as teenagers.”
Quote in the paperSubstantial claim - Findingown data
Improvements in teacher quality raise participation rates in 401(k) retirement savings plans.
“We also find that improvements in teacher quality significantly reduce the probability of having a child while being a teenager, increase the quality of the neighborhood in which the student lives (as measured by the percentage of college graduates in that zip code) in adulthood, and raise participation rates in 401(k) retirement savings plans.”
Quote in the paperSubstantial claim - Findingown data
Improvements in teacher quality significantly reduce the probability of having a child while being a teenager.
“We also find that improvements in teacher quality significantly reduce the probability of having a child while being a teenager, increase the quality of the neighborhood in which the student lives (as measured by the percentage of college graduates in that zip code) in adulthood, and raise participation rates in 401(k) retirement savings plans.”
Quote in the paperSubstantial claim - Findingown data
Improvements in teacher quality increase the quality of the neighborhood in which the student lives in adulthood, as measured by the percentage of college graduates in that zip code.
“We also find that improvements in teacher quality significantly reduce the probability of having a child while being a teenager, increase the quality of the neighborhood in which the student lives (as measured by the percentage of college graduates in that zip code) in adulthood, and raise participation rates in 401(k) retirement savings plans.”
Quote in the paperSubstantial claim - Findingreasoning
The present value gain from deselecting the bottom 5 percent of teachers using three years of test score data is $185,000 per classroom on average.
“The present value gain from deselecting the bottom 5 percent of teachers using three years of test score data is $185,000 per classroom on average.”
Quote in the paperSubstantial claim - Findingown data
Improvements in teacher quality raise the quality of colleges students attend, as measured by the average earnings of previous graduates of that college.
“Improvements in teacher quality also raise the quality of the colleges which students attend, as measured by the average earnings of previous graduates of that college.”
Quote in the paperSubstantial claim - Findingnone given
The long-term impacts of teacher VA are slightly larger for females than males.
“The long-term impacts of teacher VA are slightly larger for females than males.”
Quote in the paperNot a substantial claim - Findingown data
A one standard deviation improvement in teacher VA in a single grade raises the probability of college attendance at age 20 by 0.82 percentage points, relative to a sample mean of 37 percent.
“A one standard deviation improvement in teacher VA in a single grade raises the probability of college attendance at age 20 by 0.82 percentage points, relative to a sample mean of 37 percent.”
Quote in the paperSubstantial claim - Findingnone given
The impacts of teacher VA are roughly constant in percentage terms by parents' income.
“The impacts of teacher VA are roughly constant in percentage terms by parents' income.”
Quote in the paperSubstantial claim - Findingown data
Students assigned higher VA teachers have steeper earnings trajectories in their 20s.
“Students who are assigned higher VA teachers have steeper earnings trajectories in their 20s.”
Quote in the paperSubstantial claim - Findingown data
Teachers' impacts are significant and large throughout grades 4-8.
“Teachers' impacts are significant and large throughout grades 4-8, showing that improvements in the quality of education can have large returns well beyond early childhood.”
Quote in the paperSubstantial claim - Findingreasoning
The impacts of teacher VA on college attendance remain significant even in the mid-20s.
“However, the impacts remain significant even in the mid-20s, perhaps because of increased attendance of graduate or professional schools.”
Quote in the paperSubstantial claim - Findingreasoning
Excluding the bottom 1 percent of the VA distribution has little impact on our estimates.
“In contrast, excluding the bottom 1 percent of the VA distribution has little impact on our estimates, consistent with the view that test manipulation is responsible for the results in the upper tail.”
Quote in the paperNot a substantial claim - Findingown data
The impact of teacher quality on earnings rises almost monotonically with age.
“The impact of teacher quality on earnings rises almost monotonically with age.”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation increase in teacher VA raises the probability of working by 0.38 percent.
“A one standard deviation increase in teacher VA raises the probability of working by 0.38 percent.”
Quote in the paperSubstantial claim - Findingown data
The point estimate of teachers' impacts changes relatively little when using total income instead of wage earnings.
“the point estimate of teachers' impacts changes relatively little with this broader income definition”
Quote in the paperNot a substantial claim - Findingown data
A one standard deviation increase in teacher VA increases earnings growth by $286 (2.5 percent) from age 22 to 28.
“a one standard deviation increase in teacher VA increases earnings growth by $286 (2.5 percent) over this period.”
Quote in the paperSubstantial claim - Findingcitation
The coefficient at s=0 is not statistically distinguishable from 1.
“The coefficient at s = 0 is not statistically distinguishable from 1, as shown in our companion paper.”
Quote in the paperNot a substantial claim - Findingown data
A one standard deviation increase in student test scores, controlling for student- and class-level characteristics X, is associated with a 12 percent increase in earnings at age 28.
“A one standard deviation increase in student test scores, controlling for the student-and class-level characteristics X it , is associated with a 12 percent increase in earnings at age 28 (online Appendix Table 3, column 3, row 2).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites online Appendix Table 3, column 3, row 2
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Findingown data
The null hypothesis that teacher VA has no effect on college attendance is rejected with a t-statistic above 11 (p < 0.001).
“The null hypothesis that teacher VA has no effect on college attendance is rejected with a t-statistic above 11 ( p < 0.001).”
Quote in the paperSubstantial claim - Findingown data
In the cross section, a one standard deviation increase in test score is associated with a $7,700 (36 percent) increase in earnings at age 28.
“In the cross section, a one standard deviation increase in test score is associated with a $7,700 (36 percent) increase in earnings at age 28.”
Quote in the paperNot a substantial claim - Findingown data
Conditional on the student- and class-level controls X, a one standard deviation increase in the current test score is associated with a $2,600 (12 percent) increase in earnings on average.
“Conditional on the student-and class-level controls X it which we define in Section IIIA below, a one standard deviation increase in the current test score is associated with a $2,600 (12 percent) increase in earnings on average.”
Quote in the paperNot a substantial claim - Findingown data
As students enter the labor force, they have steeper earnings trajectories than students who had lower VA teachers in grades 4-8.
“As these students enter the labor force, they have steeper earnings trajectories than students who had lower VA teachers in grades 4-8.”
Quote in the paperSubstantial claim - Findingown data
The linked analysis sample contains 6.8 million student-subject-year observations covering 1.1 million students.
“After imposing the sample restrictions described above, the linked analysis sample contains 6.8 million student-subject-year observations (covering 1.1 million students) which we use to study teachers' long-term impacts.”
Quote in the paperSubstantial claim - Findingown data
Having a one standard deviation higher VA teacher in a single year from grades 4-8 reduces the probability of a teen birth by 0.61 percentage points (roughly 4.6 percent).
“Having a one standard deviation higher VA teacher in a single year from grades 4-8 reduces the probability of a teen birth by 0.61 percentage points, a reduction of roughly 4.6 percent”
Quote in the paperSubstantial claim - Findingown data
The smallest of the three estimates implies that a one standard deviation increase in teacher VA raises earnings by 1.34 percent.
“The smallest of the three estimates implies that a one standard deviation increase in teacher VA raises earnings by 1.34 percent.”
Quote in the paperSubstantial claim - Findingown data
The earnings impact of teacher VA reaches 1.65 percent at age 28.
“where the earnings impact reaches 1.65 percent, as in Figure 2A.”
Quote in the paperSubstantial claim - Findingown data
The impact of teacher VA on teenage births is similar to the raw cross-sectional correlation between scores and teenage births.
“This impact is similar to the raw cross-sectional correlation between scores and teenage births”
Quote in the paperNot a substantial claim - Findingcitation
Quasi-experimental estimates of the impacts of teacher quality on test scores and college attendance are very similar to the estimates obtained from (6).
“In particular, quasi-experimental estimates of the impacts of teacher quality on test scores and college attendance are very similar to the estimates obtained from (6).”
Quote in the paperSubstantial claim - Findingnone given
A one standard deviation increase in teacher quality raises end-of-year scores by 0.13 standard deviations of the student test score distribution on average across grades and subjects.
“A one standard deviation increase in teacher quality raises end-of-year scores by 0.13 standard deviations of the student test score distribution on average across grades and subjects.”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation increase in teacher VA increases the likelihood of saving money in a 401(k) at age 28 by 0.55 percentage points (2.8 percent of the mean).
“a one standard deviation increase in teacher VA increases the likelihood of saving money in a 401(k) at age 28 by 0.55 percentage points (or 2.8 percent of the mean)”
Quote in the paperNot a substantial claim - Findingown data
Teacher VA has the largest impacts on college attendance rates before age 22.
“As one would expect, teacher VA has the largest impacts on college attendance rates before age 22.”
Quote in the paperNot a substantial claim - Findingown data
Being assigned to a higher VA teacher in a single grade raises a student's probability of attending college significantly.
“Panel A of Figure 1 shows that being assigned to a higher VA teacher in a single grade raises a student's probability of attending college significantly.”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation increase in teacher VA in a single grade increases earnings at age 28 by $350, 1.65 percent of mean earnings in the regression sample.
“A one standard deviation increase in teacher VA in a single grade increases earnings at age 28 by $350, 1.65 percent of mean earnings in the regression sample.”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation increase in teacher VA raises the probability of attending a high-quality college by 0.72 percentage points, relative to a mean of 13.41 percent.
“We regress this high-quality college indicator on teacher VA in the full sample, including students who do not attend college, and find that a one standard deviation increase in teacher VA raises the probability of attending a high-quality college by 0.72 percentage points, relative to a mean of 13.41 percent (column 7 of Table 2).”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation increase in teacher quality increases the fraction of students who spend four or more years in college by 0.79 percentage points (3.2 percent of the mean).
“A one standard deviation increase in teacher quality increases the fraction of students who spend four or more years in college by 0.79 percentage points (3.2 percent of the mean).”
Quote in the paperSubstantial claim - Findingown data
Better teachers increase the growth rate of students' earnings in their 20s.
“better teachers increase the growth rate of students' earnings in their 20s.”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation increase in teacher VA raises neighborhood SES by 0.25 percentage points (1.8 percent of the mean) at age 28.
“A one standard deviation increase in teacher VA raises neighborhood SES by 0.25 percentage points (1.8 percent of the mean) by this metric”
Quote in the paperNot a substantial claim - Findingown data
There is a highly significant relationship between the quality of colleges students attend and the quality of the teachers they had in grades 4-8 (t = 14.4, p < 0.001).
“Again, there is a highly significant relationship between the quality of colleges students attend and the quality of the teachers they had in grades 4-8 (t = 14.4,p < 0.001).”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation improvement in teacher VA raises college quality by $299 (or 1.11 percent) on average.
“A one standard deviation improvement in teacher VA raises college quality by $299 (or 1.11 percent) on average, as shown in column 4 of Table 2.”
Quote in the paperSubstantial claim - Findingown data
On average across subjects and grades, a one standard deviation increase in a teacher's true test score VA in a single grade increases the probability of college attendance at age 20 by 0.82 percentage points, relative to a mean college attendance rate of 37.2 percent.
“On average across subjects and grades, a one standard deviation increase in a teacher's true test score VA in a single grade increases the probability of college attendance at age 20 by κ = 0.82 percentage points, relative to a mean college attendance rate of 37.2 percent.”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation improvement in teacher VA raises college quality by $197 (standard error $60).
“a one standard deviation improvement in teacher VA raises college quality by $197 (s.e.= $60)”
Quote in the paperSubstantial claim - Findingown data
Changes in teacher VA affect college quality in the year of the change rather than in preceding or subsequent years.
“changes in teacher VA again affect college quality in the year of the change rather than in preceding or subsequent years”
Quote in the paperSubstantial claim - Findingown data
Changes in mean teacher VA have no effect on predicted college attendance rates based on parent characteristics.
“Changes in mean teacher VA have no effect on predicted college attendance rates”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation increase in teacher value-added in English has larger impacts on college quality than a one standard deviation improvement in teacher value-added in math.
“We find that a one standard deviation increase in teacher VA in English has larger impacts on college quality than a one standard deviation improvement in teacher VA in math.”
Quote in the paperSubstantial claim - Findingown data
Controlling for secular trends and prior scores has little impact on the estimate.
“Controlling for these variables has little impact on the estimate.”
Quote in the paperSubstantial claim - Findingown data
We find no evidence that predicted college quality based on parent characteristics is correlated with changes in teacher quality.
“We find no evidence that predicted college quality based on parent characteristics is correlated with changes in teacher quality.”
Quote in the paperSubstantial claim - Findingown data
In middle school, a one standard deviation improvement in English teacher quality raises college quality by roughly twice as much as a one standard deviation improvement in math teacher quality.
“A one standard deviation improvement in English teacher quality raises college quality by roughly twice as much as a one standard deviation improvement in math teacher quality.”
Quote in the paperSubstantial claim - Findingown data
The cross-sectional correlation between scores and college quality is significantly larger for higher SES students.
“the cross-sectional correlation between scores and college quality is significantly larger for higher SES students”
Quote in the paperSubstantial claim - Findingown data
In the sample for which college attendance is observed, the standard deviation of teacher value-added estimates is 0.61.
“In the sample for which we observe college attendance, the standard deviation of teacher VA estimates is SD( m jt ) = 0.61.”
Quote in the paperSubstantial claim - Findingreasoning
Isolating the variation due purely to teacher switching using an instrumental variables specification yields very similar results.
“isolating the variation due purely to teacher switching using an instrumental variables specification yields very similar results (not reported).”
Quote in the paperNot a substantial claim - Findingown data
We obtain similar results when restricting to the subset of school-grade-subject-year cells with no missing data on teacher VA.
“We show below that we obtain similar results when restricting to the subset of school-grade-subject-year cells with no missing data on teacher VA.”
Quote in the paperNot a substantial claim - Findingown data
The tracking coefficients are small.
“This is because the tracking coefficients ρ g, g ′ are small.”
Quote in the paperSubstantial claim - Findingown data
There is no systematic trend in the impacts of teachers across grades.
“Although the estimates in each grade have relatively wide confidence intervals, there is no systematic trend in the impacts.”
Quote in the paperNot a substantial claim - Findingown data
Estimating the specification with earnings at age 28 as the dependent variable yields a confidence interval of (-$581, $665).
“yields a confidence interval of (-$581, $665)”
Quote in the paperNot a substantial claim - Findingown data
In elementary school, a given teacher's math and English value-added are highly correlated, with r = 0.6.
“Because a given teacher's math and English VA are highly correlated (r = 0.6), the magnitude of the two subject-specific coefficients drops by an average of 40 percent when included together in a single regression for elementary school.”
Quote in the paperSubstantial claim - Findingown data
Drift accounts for 5.5 percent of the variance in changes in mean teacher VA.
“drift accounts for 5.5 percent of the variance in Δ Q sgt”
Quote in the paperNot a substantial claim - Findingown data
A one standard deviation increase in teacher VA raises test scores by approximately 0.13 standard deviations on average in all subgroups.
“a one standard deviation increase in teacher VA raises test scores by approximately 0.13 standard deviations on average in all the subgroups”
Quote in the paperSubstantial claim - Findingown data
When math and English value-added are included together in a single regression for elementary school, the magnitude of the two subject-specific coefficients drops by an average of 40 percent.
“Because a given teacher's math and English VA are highly correlated (r = 0.6), the magnitude of the two subject-specific coefficients drops by an average of 40 percent when included together in a single regression for elementary school.”
Quote in the paperNot a substantial claim - Findingown data
Improvements in teachers' test-score VA across cohorts lead to sharp changes in the quality of colleges that students attend across all specifications.
“improvements in teachers' test-score VA across cohorts lead to sharp changes in the quality of colleges that students attend across all of the specifications.”
Quote in the paperSubstantial claim - Findingnone given
The cross-class and quasi-experimental designs yield very similar estimates of teachers' impacts on test scores, college attendance, and college quality.
“the cross-class and quasi-experimental designs yield very similar estimates of teachers' impacts on test scores, college attendance, and college quality”
Quote in the paperSubstantial claim - Findingown data
The quasi-experimental estimate of the effect of teacher VA on college quality is not statistically distinguishable from the estimates of $266-$299 obtained using the first research design.
“which is not statistically distinguishable from the estimates of $266-$299 obtained using the first research design.”
Quote in the paperSubstantial claim - Findingreasoning
Without estimation error, the first-year gain per class from deselecting teachers based on estimated value-added is $340,000.
“Without estimation error, G C (1) = $340, 000.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Findingown data
The null hypothesis that the coefficient on changes in mean teacher VA is zero is rejected with p < 0.01.
“The null hypothesis that κ = 0 is rejected with p < 0.01.”
Quote in the paperSubstantial claim - Findingown data
The impacts of teacher VA on college quality are more similar as a percentage of mean college quality: 0.80 percent for low-income students versus 1.25 percent for high-income students.
“the impacts are more similar as a percentage of mean college quality: 0.80 percent for low-income students versus 1.25 percent for high-income students.”
Quote in the paperNot a substantial claim - Findingown data
Teachers' long-term impacts are large and significant in all grades 4 through 8.
“We find that teachers' long-term impacts are large and significant in all grades.”
Quote in the paperSubstantial claim - Findingown data
The quasi-experimental estimate of the effect of teacher quality on college attendance is very similar to the estimates of 0.71-0.82 percentage points obtained from the first research design.
“This estimate is very similar to the estimates of 0.71-0.82percentage points obtained from the first research design in Table 2.”
Quote in the paperSubstantial claim - Findingown data
The coefficient on changes in mean teacher VA changes very little when including school by year fixed effects instead of just year effects.
“The coefficient on Δ Q sgt changes very little relative to the baseline estimate that pools all sources of variation.”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation improvement in teacher quality raises college attendance rates by 0.86 percentage points, with a standard error of 0.23.
“a one standard deviation improvement in teacher quality raises college attendance rates by 0.86 percentage points, with a standard error of 0.23.”
Quote in the paperSubstantial claim - Findingown data
Changes in the quality of the teaching staff have significant impacts on changes in college attendance rates across consecutive cohorts of students in a school-grade-subject cell.
“Changes in the quality of the teaching staff have significant impacts on changes in college attendance rates across consecutive cohorts of students in a school-grade-subject cell.”
Quote in the paperSubstantial claim - Findingreasoning
The mean difference between net impacts and reduced-form impacts is 19.6 percent in grades 4 through 7.
“The differences between the net impacts and reduced-form impacts are modest: the mean difference between κ g and ˜ κ g is 19.6 percent in grades 4-7.”
Quote in the paperNot a substantial claim - Findingreasoning
Adding data from prior classes yields relatively little information about current teacher quality both because of decreasing returns to additional observations and drift.
“Adding data from prior classes yields relatively little information about current teacher quality both because of decreasing returns to additional observations and drift.”
Quote in the paperSubstantial claim - Findingown data
Gains in subsequent school years decay over time due to drift in teacher quality.
“Panel A shows gains for the school year immediately after deselection; panel B shows the gains in subsequent school years, which decay over time due to drift in teacher quality.”
Quote in the paperSubstantial claim - Findingreasoning
Selection based on three years of data using value-added estimates that do not adjust for drift yields gains that are 98 percent as large as those reported above.
“For instance, selection based on three years of data using VA estimates that do not adjust for drift yields gains that are 98 percent as large as those reported above.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Findingown data
Among math teachers in elementary school, 3.2 percent of the teachers whose estimated value-added based on three years of test score data is in the bottom 5 percent have true value-added above the median.
“For example, among math teachers in elementary school, 3.2 percent of the teachers whose estimated VA based on three years of test score data ( m j, 4 ) is in the bottom 5 percent have true VA m j, 4 above the median.”
Quote in the paperSubstantial claim - Findingown data
We find little or no correlation between match rates and teacher VA in the various subsamples we use in our analysis.
“We find little or no correlation between match rates and teacher VA in the various subsamples we use in our analysis”
Quote in the paperNot a substantial claim - Findingown data
In the data, roughly 9 percent of teachers in their third year do not return to the school district for a fourth year.
“In our data, roughly 9 percent of teachers in their third year do not return to the school district for a fourth year.”
Quote in the paperSubstantial claim - Findingreasoning
Deselection based on value-added estimates at the end of year three generates an average gain of $184,000 per classroom per year over the subsequent ten years.
“Deselection based on VA estimates at the end of year three generates an average gain of $184,000 per classroom per year over the subsequent ten years, the median survival time in the district for teachers who have taught for three years.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Findingown data
We obtain very similar estimates of teachers' impacts on long-term outcomes when restricting the sample to school-grade-subject cells with above-median match rates.
“and obtain very similar estimates of teachers' impacts on long-term outcomes when restricting the sample to school-grade-subject cells with above-median match rates (see online Appendix Table7).”
Quote in the paperNot a substantial claim - Findingown data
The average present value gain from deselection based on true value-added over the subsequent ten years is approximately $250,000 per classroom.
“The average present value gain from deselection based on true VA over the subsequent ten years is approximately $250,000 per classroom.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Findingreasoning
The average present value gain from deselection based on true value-added over the subsequent ten years corresponds to an undiscounted lifetime earnings gain per classroom of approximately $1.4 million.
“This corresponds to an undiscounted lifetime earnings gain per classroom of students of approximately $1.4 million.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Findingown data
The magnitude of the four-year attendance impact (0.79 pp) is very similar to the magnitude of the single-year attendance impact (0.82 pp).
“The magnitude of the four-year attendance impact (0.79 pp) is very similar to the magnitude of the single-year attendance impact (0.82 pp).”
Quote in the paperSubstantial claim - Findingown data
A one standard deviation increase in true teacher VA increases earnings by 1.34 percent.
“All values in these figures are based on our estimate that a one standard deviation increase in true teacher VA increases earnings by 1.34 percent (column 2 of Table3).”
Quote in the paperSubstantial claim - Findingnone given
When the estimation window is short, drift has little impact on the weights placed on test scores across years.
“When the estimation window n is short, drift has little impact on the weights placed on test scores across years.”
Quote in the paperNot a substantial claim - Findingown data
Current teacher VA affects test scores at the end of the current and subsequent school years.
“This figure shows the effect of current teacher VA on test scores at the end of the current and subsequent school years.”
Quote in the paperNot a substantial claim - Interpretationown data
Improvements in the quality of education can have large returns well beyond early childhood.
“Teachers' impacts are significant and large throughout grades 4-8, showing that improvements in the quality of education can have large returns well beyond early childhood.”
Quote in the paperSubstantial claim - Study design and conductown data
Students' prior test scores and contemporaneous scores in the other subject are uncorrelated with changes in the quality of teaching staff in a given subject.
“Second, students' prior test scores and contemporaneous scores in the other subject are also uncorrelated with changes in the quality of teaching staff in a given subject.”
Quote in the paperSubstantial claim - Interpretationnone given
κ_g measures only the portion of teachers' earnings impacts which are correlated with their impacts on test scores.
“Second, ˜ κ g measures only the portion of teachers' earnings impacts which are correlated with their impacts on test scores.”
Quote in the paperSubstantial claim - Study design and conductown data
1098-T forms capture college enrollment accurately.
“Comparisons to other data sources indicate that 1098-T forms capture college enrollment accurately (see online Appendix B).”
Quote in the paperSubstantial claim - Interpretationreasoning
If the impact on earnings remains constant at 1.3 percent over the life cycle, students would gain approximately $39,000 on average in cumulative lifetime income from a one standard deviation improvement in teacher VA in a single grade.
“If the impact on earnings remains constant at 1.3 percent over the life cycle, students would gain approximately $39,000 on average in cumulative lifetime income from a one standard deviation improvement in teacher VA in a single grade.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The impact of teacher VA on earnings remains constant at 1.3 percent over the life cycle.
- Study design and conductown data
The unweighted correlation between state-level teenage birth rates in our data and the ACS is 0.80.
“The unweighted correlation between state-level teenage birth rates in our data and the ACS is 0.80.”
Quote in the paperNot a substantial claim - Study design and conductown data
The proxy for teenage birth is closely aligned with estimates based on the American Community Survey (ACS).
“Despite these limitations, our proxy for teenage birth is closely aligned with estimates based on the American Community Survey (ACS).”
Quote in the paperNot a substantial claim - Interpretationnone given
The orthogonality condition required to obtain unbiased forecasts of teachers' earnings VA does not hold in practice.
“Unfortunately, the orthogonality condition required to obtain unbiased forecasts of teachers' earnings VA-that other unobservable determinants of students' earnings are orthogonal to earnings VA estimates-does not hold in practice, as we discuss in online Appendix A.”
Quote in the paperSubstantial claim - Study design and conductown data
Estimates remain similar in a subsample of school-grade-subject cells with little or no missing data.
“We address this concern by showing that our estimates remain similar in a subsample of school-grade-subject cells with little or no missing data (online Appendix Table 7).”
Quote in the paperSubstantial claim - Interpretationcitation
The present value gain from deselecting the bottom 5 percent of teachers using three years of test score data is about ten times larger than recent estimates of the additional salary one would have to pay teachers to compensate them for the risk of evaluation based on VA measures.
“This gain is still about ten times larger than recent estimates of the additional salary one would have to pay teachers to compensate them for the risk of evaluation based on VA measures (Rothstein 2013).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Rothstein 2013
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Study design and conductown data
The estimates from the cross-sectional approach closely match the quasi-experimental estimates for outcomes where there is adequate precision to implement both designs, supporting the validity of selection on observables.
“Although this is a very strong assumption, the estimates from this approach closely match the quasi-experimental estimates for outcomes where we have adequate precision to implement both designs, supporting its validity.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Unobserved determinants of outcomes in adulthood such as student ability are unrelated to teacher VA conditional on observable characteristics.
- Study design and conductown data
The oldest age at which the sample is large enough to obtain informative estimates of teachers' impacts on earnings is age 28.
“The oldest age at which the sample is large enough to obtain informative estimates of teachers' impacts on earnings turns out to be age 28.”
Quote in the paperSubstantial claim - Interpretationreasoning
Forecast unbiasedness of test-score VA implies that the first stage of the 2SLS regression has a coefficient of 1.
“Forecast unbiasedness of test-score VA implies that the first stage of this 2SLS regression has a coefficient of 1.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Test-score value-added estimates are forecast unbiased: the covariance between true and estimated VA divided by the variance of estimated VA equals 1.
- Study design and conductown data
Schools with more complete teacher link information do not differ significantly from the sample as a whole on test scores and other observables.
“Reassuringly, we find that these schools do not differ significantly from the sample as a whole on test scores and other observables.”
Quote in the paperSubstantial claim - Study design and conductown data
Changes in teacher VA across cohorts have sharp effects on college attendance exactly in the year of the change but not in prior years or subsequent years.
“Third, changes in teacher VA across cohorts have sharp effects on college attendance exactly in the year of the change but not in prior years or subsequent years.”
Quote in the paperSubstantial claim - Interpretationreasoning
Discounting at a 5 percent rate yields a present value gain of $7,000 at age 12, the mean age at which the interventions we study occur.
“Discounting at a 5 percent rate yields a present value gain of $7,000 at age 12, the mean age at which the interventions we study occur.”
Quote in the paperSubstantial claim - Interpretationown data
Replacing a teacher whose VA is in the bottom 5 percent with an average teacher would increase the present value of students' lifetime income by approximately $250,000 per classroom over a teacher's career, accounting for drift in teacher quality over time.
“Replacing a teacher whose VA is in the bottom 5 percent with an average teacher would increase the present value of students' lifetime income by approximately $250,000 per classroom.”
- Also stated in: § Abstract · hedged
“We estimate that replacing a teacher whose current VA is in the bottom 5 percent with an average teacher would increase the mean present value of students' lifetime income by $250,000 per classroom over a teacher's career, accounting for drift in teacher quality over time.”
Quote in the paperSubstantial claim - Also stated in: § Abstract · hedged
- Interpretationreasoning
κ_g is a lower bound for the standard deviation of teachers' effects on earnings.
“As a result, ˜ κ g is a lower bound for the standard deviation of teachers' effects on earnings.”
Quote in the paperSubstantial claim - Interpretationreasoning
Because VA is estimated with noise, the gains from deselecting teachers based on data from a limited number of classrooms are smaller.
“However, because VA is estimated with noise, the gains from deselecting teachers based on data from a limited number of classrooms are smaller.”
Quote in the paperSubstantial claim - Interpretationreasoning
Replacing low-VA teachers may be a more cost effective strategy to increase teacher quality in the short run than paying bonuses to retain high-VA teachers.
“Replacing low-VA teachers may therefore be a more cost effective strategy to increase teacher quality in the short run than paying bonuses to retain high-VA teachers.”
Quote in the paperSubstantial claim - Study design and conductnone given
Predetermined student and parent characteristics are uncorrelated with changes in the quality of teaching staff.
“First, predetermined student and parent characteristics are uncorrelated with changes in the quality of teaching staff.”
Quote in the paperSubstantial claim - Interpretationreasoning
VA could potentially be a useful tool for evaluating teacher performance if the signal quality of VA for long-term impacts does not fall substantially when it is used to evaluate teachers.
“This result suggests that VA could potentially be a useful tool for evaluating teacher performance if the signal quality of VA for long-term impacts does not fall substantially when it is used to evaluate teachers.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The signal quality of VA for long-term impacts does not fall substantially when it is used to evaluate teachers.
- Interpretationreasoning
If teacher VA is correlated with X_it, estimates of β_Y in a specification without teacher fixed effects are biased because part of the teacher effect is attributed to the covariates.
“If teacher VA is correlated with X it , estimates of β Y in a specification without teacher fixed effects are biased because part of the teacher effect is attributed to the covariates.”
Quote in the paperSubstantial claim - Premisecitation
Teachers' impacts on test scores fade out very rapidly in subsequent grades.
“Our conclusion that teachers have long-lasting impacts may be surprising given evidence that teachers' impacts on test scores fade out very rapidly in subsequent grades (Rothstein 2010; Carrell and West 2010; Jacob, Lefgren, and Sims 2010).”
Quote in the paperSubstantial claim0 of 3 sources checked - Interpretationreasoning
The financial value of having a one standard deviation higher VA teacher is approximately $7,000 per grade.
“the financial value of having a one standard deviation higher VA teacher (i.e., a teacher at the eightyfourth percentile instead of the median) is 1.34 percent × $522, 000 ≃ $7, 000 per grade.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage gain in earnings remains constant at 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings are discounted at a 3 percent real rate (5 percent discount rate with 2 percent wage growth) back to age 12.
- Interpretationown data
The small effects of controlling for parent characteristics and lagged test score gains support the identification assumption in (7).
“supporting the identification assumption in (7).”
Quote in the paperSubstantial claim- The authors state this as an assumption: Test-score value-added estimates are orthogonal to unobserved determinants of earnings conditional on X.
- Interpretationreasoning
Teachers' impacts on lifetime earnings could be larger than the 1.34 percent impact observed at age 28.
“This finding suggests that teachers' impacts on lifetime earnings could be larger than the 1.34 percent impact observed at age 28.”
Quote in the paperSubstantial claim - Interpretationreasoning
Having a teacher in the first percentile of the value-added distribution is equivalent to missing one-third of the school year when taught by a teacher of average quality.
“Having a teacher in the first percentile of the value-added distribution (2.33 standard deviations below the mean) is equivalent to missing 2.33 × 1.34 percent __ 9 percent = one-third of the school year when taught by a teacher of average quality.”
Quote in the paperNot a substantial claim - Interpretationown data
The fact that controlling for parent characteristics and twice-lagged test scores does not significantly affect the estimates of κ supports the identification assumption of selection on observables.
“Hence, the fact that controlling for these variables does not significantly affect the estimates of κ supports the identification assumption of selection on observables in (7).”
Quote in the paperSubstantial claim- The authors state this as an assumption: Test-score value-added estimates are orthogonal to unobserved determinants of earnings conditional on X.
- Interpretationreasoning
The causal impacts of teacher VA on earnings and other outcomes are commensurate to what one would predict based on the cross-sectional correlations.
“We return to these results below and show that the causal impacts of teacher VA on earnings and other outcomes are commensurate to what one would predict based on these correlations.”
Quote in the paperSubstantial claim - Study design and conductown data
Controlling for parent characteristics and lagged test score gains has relatively small effects on the point estimates for earnings.
“As with college attendance, controlling for these additional observable characteristics has relatively small effects on the point estimates, supporting the identification assumption in (7).”
Quote in the paperSubstantial claim - Study design and conductreasoning
The leave-year-out approach eliminates correlated estimation error bias because m_jt is estimated using a sample which excludes the observations on the left-hand side of (6).
“The leaveyear-out approach eliminates this correlated estimation error bias because m jt is estimated using a sample which excludes the observations on the left-hand side of (6).”
Quote in the paperSubstantial claim - Interpretationreasoning
The $299 estimate combines intensive and extensive margin responses because it includes the effect of increased college attendance rates on projected earnings.
“The $299 estimate in column 4 combines intensive and extensive margin responses because it includes the effect of increased college attendance rates on projected earnings.”
Quote in the paperSubstantial claim - Study design and conductown data
Adding parent controls to the control vector yields an estimate quite similar to the baseline estimate for college attendance.
“The estimate in column 2 is quite similar to that in column 1.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The extensive margin accounts for at most 23 percent of the total earnings increase due to better teachers.
“this implies that the extensive margin accounts for at most 81/350 = 23 percent of the total earnings increase due to better teachers.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The marginal entrant into the labor market would take a job paying the mean earnings level in the sample ($21,256).
- Rests on an assumption: The marginal entrant into the labor market most likely has lower earnings than the mean.
- Interpretationreasoning
The undiscounted lifetime earnings gain from having a one standard deviation higher VA teacher is approximately $39,000 per student.
“The undiscounted lifetime earnings gain (assuming a 2 percent growth rate but 0 percent discount rate) is approximately $39,000 per student.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The undiscounted lifetime earnings gain assumes a 2 percent growth rate but 0 percent discount rate.
- Interpretationreasoning
This result supports the validity of the selection on observables assumption not only for test scores and college attendance but also for other outcomes.
“This result supports the validity of the selection on observables assumption not only for test scores and college attendance but also for other outcomes as well, as any selection effects would presumably be manifested in all of these outcomes.”
Quote in the paperSubstantial claim- Rests on an assumption: Any selection effects would be manifested in all outcomes (test scores, college attendance, earnings, etc.).
- Interpretationown data
Higher VA teachers induce their students to go to college.
“consistent with our finding that higher VA teachers induce their students to go to college.”
Quote in the paperSubstantial claim - Interpretationreasoning
If the marginal entrant into the labor market took a job paying the mean earnings level in the sample ($21,256), the extensive margin response would raise mean earnings by $81.
“If the marginal entrant into the labor market were to take a job that paid the mean earnings level in the sample ($21,256), this extensive margin response would raise mean earnings by $81.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The marginal entrant into the labor market would take a job paying the mean earnings level in the sample ($21,256).
- Interpretationreasoning
Because we trim outliers, our baseline estimates should be interpreted as characterizing the relationship between VA and outcomes below the ninety-ninth percentile of VA.
“Because we trim outliers, our baseline estimates should be interpreted as characterizing the relationship between VA and outcomes below the ninety-ninth percentile of VA.”
Quote in the paperSubstantial claim - Premisecitation
Earnings levels at age 28 are highly correlated with earnings at later ages.
“Although individuals' earnings trajectories remain quite steep at age 28, earnings levels at age 28 are highly correlated with earnings at later ages (Haider and Solon 2006), a finding we confirm within the tax data in online Appendix Figure 4.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Haider and Solon 2006 source
- Study design and conductown data
Adding class means of twice-lagged test scores to the control vector does not change the coefficient appreciably.
“Again, the coefficient does not change appreciably.”
Quote in the paperSubstantial claim - Study design and conductreasoning
Using a leave-year-out estimate of VA is necessary to obtain unbiased estimates of teachers' long-term impacts because of correlated errors in students' test scores and later outcomes.
“Using a leave-year-out estimate of VA is necessary to obtain unbiased estimates of teachers' long-term impacts because of correlated errors in students' test scores and later outcomes.”
Quote in the paperSubstantial claim - Interpretationown data
Test manipulation is responsible for the results in the upper tail of the VA distribution.
“consistent with the view that test manipulation is responsible for the results in the upper tail.”
Quote in the paperSubstantial claim - Interpretationreasoning
The sharp changes we analyze are likely driven by idiosyncratic shocks such as changes in staffing needs, maternity leaves, or the relocation of spouses.
“the sharp changes we analyze are likely driven by idiosyncratic shocks such as changes in staffing needs, maternity leaves, or the relocation of spouses.”
Quote in the paperSubstantial claim - Interpretationreasoning
For a class of average size 28.2, the total net present value earnings impact from replacing a bottom 5 percent teacher with an average teacher is $407,000.
“For a class of average size (28.2), the total NPV (net present value) earnings impact from this replacement is G C = $407, 000.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Study design and conductown data
Our sample size for earnings at age 28 is roughly one-seventh the size of the sample available to study college attendance at age 20.
“our sample size for earnings at age 28 is roughly one-seventh the size of the sample available to study college attendance at age 20.”
Quote in the paperSubstantial claim - Interpretationreasoning
Further adjusting for the variation in shrinkage factors is unlikely to affect the conclusions because the magnitude of the tracking coefficients is small.
“However, as we discuss below, the magnitude of the tracking coefficients is small and hence further adjusting for the variation in shrinkage factors is unlikely to affect our conclusions.”
Quote in the paperNot a substantial claim - Interpretationown data
The placebo tests support strongly the view that changes in teacher VA have causal effects on college attendance rates.
“The placebo tests in panel A support strongly the view that the changes in teacher VA have causal effects on college attendance rates.”
Quote in the paperSubstantial claim - Study design and conductown data
We do not have adequate power to identify the impacts of exceptional teachers on college attendance using event studies.
“We do not have adequate power to identify the impacts of these exceptional teachers on college attendance using such event studies.”
Quote in the paperSubstantial claim - Interpretationreasoning
Student sorting at an annual frequency is minimal because of the costs of changing schools.
“In practice, student sorting at an annual frequency is minimal because of the costs of changing schools.”
Quote in the paperSubstantial claim - Study design and conductown data
The placebo test supports the assumption that changes in the quality of the teaching staff are unrelated to changes in student quality at an annual level.
“supporting the assumption that changes in the quality of the teaching staff are unrelated to changes in student quality at an annual level.”
Quote in the paperSubstantial claim - Interpretationown data
The vast majority of the reduced-form impacts estimated above reflect a teacher's own direct impact rather than the impacts of being tracked to better teachers in later grades.
“These results suggest that the vast majority of the reduced-form impacts estimated above reflect a teacher's own direct impact rather than the impacts of being tracked to better teachers in later grades.”
Quote in the paperSubstantial claim - Interpretationcitation
Net impacts cannot be interpreted as the structural impact of teacher quality holding fixed all other inputs in a general model of the education production function.
“Hence, ˜ κ g cannot be interpreted as the structural impact of teacher quality holding fixed all other inputs in a general model of the education production function (e.g., Todd and Wolpin 2003).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Todd and Wolpin 2003 source
- The authors state this as an assumption: Net impacts do not net out potential changes in other factors besides teachers, such as peer quality or parental inputs.
- Interpretationcitation
The marginal gains from obtaining one more year of data are outweighed by the expected cost of having a low value-added teacher on the staff even after the first year.
“The marginal gains from obtaining one more year of data are outweighed by the expected cost of having a low VA teacher on the staff even after the first year (Staiger and Rockoff 2010).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Staiger and Rockoff 2010 source
- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Premisecitation
It is much harder for teachers to improve students' achievement in English than in math.
“Hence, the returns to better performance in English are especially large, although it is much harder for teachers to improve students' achievement in English (e.g., Hanushek and Rivkin 2010; Kane et al. 2013).”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Hanushek and Rivkin 2010 source
- cites Kane et al. 2013
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning
When math value-added is included by itself in elementary school, it partly picks up the effect of having better teaching in English as well.
“Intuitively, when math VA is included by itself in elementary school, it partly picks up the effect of having better teaching in English as well.”
Quote in the paperSubstantial claim - Interpretationreasoning
Replacing a teacher in the bottom 5 percent of the value-added distribution with an average teacher generates a present value lifetime earnings gain per student of $14,500.
“Therefore, replacing a teacher in the bottom 5 percent of the VA distribution with an average teacher generates a present value lifetime earnings gain per student of G = 2.063 × $522, 000 × 1.34% = $14, 500.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Premiseown data
The variance of teacher effects in terms of test scores is larger in math than in English.
“This is despite the fact that the variance of teacher effects in terms of test scores is larger in math than English.”
Quote in the paperSubstantial claim - Interpretationreasoning
An English teacher who raises her students' test scores by one standard deviation raises college quality by 2.3 times as much as a math teacher who generates a commensurate test score gain.
“Using the estimates from column 3 of panel B in Table 6, this implies that an English teacher who raises her students' test scores by one standard deviation raises college quality by 189/0.124_ 106/0.163= 2.3 times as much as a math teacher who generates a commensurate test score gain.”
Quote in the paperSubstantial claim - Interpretationown data
Fluctuations in teacher quality relative to trend in specific grades generate significant changes in the affected students' college attendance rates.
“This result shows that fluctuations in teacher quality relative to trend in specific grades generate significant changes in the affected students' college attendance rates.”
Quote in the paperSubstantial claim - Study design and conductreasoning
Imputing the sample mean of VA for classrooms with missing VA generates downward bias in estimates because it mismeasures the change in teacher quality across cohorts.
“This generates downward bias in our estimates because we mismeasure the change in teacher quality Δ Q sgt across cohorts.”
Quote in the paperSubstantial claim - Interpretationreasoning
The fact that high-value-added math and English teachers continue to have substantial impacts in middle school indicates that education has substantial returns well beyond early childhood.
“Hence, the fact that high-VA math and English teachers continue to have substantial impacts in middle school indicates that education has substantial returns well beyond early childhood.”
Quote in the paperSubstantial claim - Interpretationown data
The gains from deselecting teachers based on estimated value-added are significantly smaller than from selecting on true value-added because of noise in value-added estimates and drift in teacher quality.
“The gains from deselecting teachers based on estimated VA are significantly smaller because of noise in VA estimates and drift in teacher quality.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Interpretationreasoning
These findings suggest that the heterogeneity in teachers' long-term impacts is driven by the second mechanism, namely that high SES students' earnings are more sensitive to test score gains.
“these findings suggest that the heterogeneity in teachers' long term impacts is driven by the second mechanism, namely that high SES students' earnings are more sensitive to test score gains.”
Quote in the paperSubstantial claim - Interpretationreasoning
Teacher quality-at least as measured by test-score VA-is complementary to family inputs and resources.
“teacher quality-at least as measured by test-score VA-is complementary to family inputs and resources.”
Quote in the paperSubstantial claim - Study design and conductreasoning
The leave-out technique ensures that changes in mean outcome residuals are not spuriously correlated with changes in mean teacher VA due to estimation error in VA.
“this leave-out technique ensures that changes in Δ Y sgt are not spuriously correlated with Δ Q sgt due to estimation error in VA.”
Quote in the paperSubstantial claim - Study design and conductreasoning
The simple approach to correcting for attenuation bias is an approximation because the shrinkage factor does vary across observations.
“This simple approach to correcting for the attenuation bias is an approximation because the shrinkage factor does vary across observations.”
Quote in the paperNot a substantial claim - Study design and conductown data
In our first paper, we present direct evidence supporting the orthogonality assumption by showing that both prior scores and contemporaneous scores in the other subject are uncorrelated with changes in mean teacher quality in a given subject.
“in our first paper, we present direct evidence supporting (10) by showing that both prior scores and contemporaneous scores in the other subject (e.g., English) are uncorrelated with changes in mean teacher quality in a given subject (e.g., math).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites our first paper
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Study design and conductreasoning
Complementarities in teacher value-added across grades cannot be identified because the identification strategy conditions on lagged test scores, which are endogenous to the prior teacher's quality.
“We cannot identify complementarities in teacher VA across grades because our identification strategy forces us to condition on lagged test scores, which are endogenous to the prior teacher's quality.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Teacher effects are additive across grades.
- Study design and conductown data
We obtain very imprecise and fragile estimates of the impacts of teacher quality on earnings using the quasi-experimental design.
“we obtain very imprecise and fragile estimates of the impacts of teacher quality on earnings using the quasi-experimental design.”
Quote in the paperSubstantial claim - Interpretationown data
The returns to better performance in English are especially large.
“Hence, the returns to better performance in English are especially large, although it is much harder for teachers to improve students' achievement in English (e.g., Hanushek and Rivkin 2010; Kane et al. 2013).”
Quote in the paperSubstantial claim - Interpretationreasoning
We expect the cross-class design to yield unbiased estimates of earnings impacts as well.
“we expect the cross-class design to yield unbiased estimates of earnings impacts as well.”
Quote in the paperSubstantial claim - Interpretationreasoning
We cannot identify the substitutability or complementarity of teachers' impacts across grades.
“For the same reason, we also cannot identify the substitutability or complementarity of teachers' impacts across grades.”
Quote in the paperSubstantial claim - Interpretationreasoning
Improving the quality of teaching, whether via the use of value-added metrics or other policy levers, is likely to have substantial economic and social benefits.
“Hence, the most important lesson of this study is that improving the quality of teaching-whether via the use of value-added metrics or other policy levers-is likely to have substantial economic and social benefits.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Because teacher quality drifts over time, the gains from deselection fall in subsequent school years, as some deselected teachers would have reverted toward the mean.
“Because teacher quality drifts over time, the gains fall in subsequent school years, as some of the teachers who were deselected based on their predicted VA in school year n would have reverted toward the mean in subsequent years.”
Quote in the paperSubstantial claim - Interpretationreasoning
The estimated gains from the deselection policy are more than ten times larger than the costs.
“Hence, the estimated gains from this policy are more than ten times larger than the costs.”
Quote in the paperSubstantial claim - Study design and conductnone given
We have inadequate precision to estimate wage earnings impacts separately by subject and grade level.
“We have inadequate precision to estimate wage earnings impacts separately by subject and grade level.”
Quote in the paperSubstantial claim - Interpretationreasoning
In the sample, mean teacher salaries were approximately $50,000, implying that annual salaries would have to be raised by approximately $700 for all teachers to compensate them for the additional risk of the deselection policy.
“In our sample, mean teacher salaries were approximately $50,000, implying that annual salaries would have to be raised by approximately $700 for all teachers to compensate them for the additional risk.”
Quote in the paperSubstantial claim - Premisecitation
A $1,800 bonus payment in North Carolina reduces attrition rates by 17 percent.
“Clotfelter et al. (2008) estimate that a $1,800 bonus payment in North Carolina reduces attrition rates by 17 percent.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Clotfelter et al. (2008) source
- Interpretationreasoning
Drift and estimation error each account for roughly half of the difference between the first-year gain with no estimation error and the first-year gain with estimated value-added.
“Hence, drift and estimation error each account for roughly half of the difference between G C (1) and G C .”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Interpretationreasoning
Better teachers increase the number of years that students spend in college on the intensive margin.
“Since the students who are on the margin of attending for one year presumably do not all attend for four years, this suggests that better teachers increase the number of years that students spend in college on the intensive margin.”
Quote in the paperSubstantial claim - Interpretationreasoning
The expected benefit of offering a bonus to even an excellent ninety-fifth percentile teacher is only modestly larger than the cost because one must pay bonuses to about 60 additional teachers for every extra teacher retained.
“The expected benefit of offering a bonus to even an excellent (ninety-fifth percentile) teacher is only modestly larger than the cost because one must pay bonuses to (100 -9)/1.5 ≈ 60 additional teachers for every extra teacher retained.”
Quote in the paperSubstantial claim - Study design and conductnone given
We do not have adequate precision to implement the quasi-experimental design for earnings or within specific subgroups.
“We do not have adequate precision to implement the quasi-experimental design for earnings or within specific subgroups, which is why the cross-sectional estimates remain valuable.”
Quote in the paperSubstantial claim - Interpretationreasoning
With an annual discount rate of 5 percent, the parents of a classroom of average size should be willing to pay this teacher $200,000, or $7,000 per parent, to stay and teach their children during the next school year.
“With an annual discount rate of 5 percent, the parents of a classroom of average size should be willing to pay this teacher $200,000 ($7,000 per parent) to stay and teach their children during the next school year.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
- Classified as probably not a substantial claim. 31
- May combine two claims. 49
- The quote only partly states this claim. 3
Classified as probably not a substantial claim.
PremisecitationVA measures which control for lagged test scores exhibit little or no bias.
“We addressed the first question in the previous paper in this volume (Chetty, Friedman, and Rockoff 2014) and concluded that VA measures which control for lagged test scores exhibit little or no bias.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Chetty, Friedman, and Rockoff 2014 source
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationUsing value-added measures to evaluate teachers could induce responses such as teaching to the test or cheating, eroding the signal in value-added measures.
“First, using VA measures to evaluate teachers could induce responses such as teaching to the test or cheating, eroding the signal in VA measures (e.g., Jacob 2005, Neal and Schanzenbach 2010).”
Quote in the paperNot a substantial claim1 of 2 sources checked- cites Jacob 2005 source
The Introduction reports that Chicago’s high-stakes testing produced gains largely in test-specific skills rather than comparable gains on a state exam; it also discusses cheating as a possible response, while noting that estimated cheating explained very little of the score gains. The paper supports the concern that testing incentives can distort scores, but it does not specifically examine using value-added measures to evaluate teachers or the signal in those measures. (LLM, conf=0.85)
Experimental — accuracy not yet measured - cites Neal and Schanzenbach 2010 source
Classified as probably not a substantial claim.
PremisecitationExisting test-score value-added measures are a good proxy for a teacher's ability to raise students' test scores.
“Our first paper (Chetty, Friedman, and Rockoff 2014) showed that existing testscore value-added measures are a good proxy for a teacher's ability to raise students' test scores.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Chetty, Friedman, and Rockoff 2014 source
May combine two claims.
Findingown dataUsing a quasi-experimental design based on teacher turnover, a one standard deviation improvement in teacher VA raises the probability of college attendance at age 20 by 0.86 percentage points, nearly identical to the estimate from the first research design.
“Using this design, we find that a one standard deviation improvement in teacher VA raises the probability of college attendance at age 20 by 0.86 percentage points, nearly identical to the estimate obtained from our first research design.”
Quote in the paperSubstantial claim- The authors state this as an assumption: High-frequency teacher turnover within school-grade cells is uncorrelated with student and school characteristics.
May combine two claims.
Findingown dataThe qualitative conclusion that teacher VA has long-term impacts is not sensitive to trimming, but including teachers in the top 1 percent reduces our estimates of teachers' impacts on long-term outcomes by 10-30 percent.
“The qualitative conclusion that teacher VA has long-term impacts is not sensitive to trimming, but including teachers in the top 1 percent reduces our estimates of teachers' impacts on long-term outcomes by 10-30 percent.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe mean college quality conditional on attending college is $41,756, while the quality for all those who do not attend college is $17,920.
“The mean college quality conditional on attending college is $41,756, while the quality for all those who do not attend college is $17,920.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataBoth parent characteristics and twice-lagged test scores are strong predictors of college attendance rates even conditional on the baseline controls X ct, with F-statistics exceeding 300.
“Both parent characteristics and twice-lagged test scores are strong predictors of college attendance rates even conditional on the baseline controls X ct , with F-statistics exceeding 300.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataBeing assigned to a higher value-added teacher has a significant impact on earnings, with the null hypothesis of κ = 0 rejected with p < 0.01.
“Being assigned to a higher value-added teacher has a significant impact on earnings, with the null hypothesis of κ = 0 rejected with p < 0.01.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataAt early ages, the impact of higher VA on earnings is negative and statistically significant.
“At early ages, the impact of higher VA is negative and statistically significant”
Quote in the paperSubstantial claimThe quote only partly states this claim.
FindingreasoningA one standard deviation increase in teacher value-added raises earnings at age 28 by 1.34 percent.
“similar to the observed impact of 1.34 percent.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe unconditional relationship between scores and outcomes is S-shaped, while the relationship conditional on prior scores and other covariates is almost perfectly linear.
“The unconditional relationship between scores and outcomes is S-shaped, while the relationship conditional on prior scores and other covariates is almost perfectly linear.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataBoth math and English test scores are highly positively correlated with earnings, college attendance, and neighborhood quality, and are negatively correlated with teenage births.
“Both math and English test scores are highly positively correlated with earnings, college attendance, and neighborhood quality, and are negatively correlated with teenage births.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Findingown dataMean individual earnings at age 28 is $20,885, while mean total income is $21,272 (in 2010 US$).
“Mean individual earnings at age 28 is $20,885, while mean total income is $21,272 (in 2010 US$).”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataA one standard deviation increase in VA raises college quality by $190 for children whose parents have below-median income, compared with $380 for those whose parents have above-median income.
“a one standard deviation increase in VA raises college quality by $190 for children whose parents have below-median income, compared with $380 for those whose parents have above-median income.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingown dataThe t-statistic for college attendance in the cross-cohort regression is 3.78.
“the t-statistic for college attendance is 3.78”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataA one standard deviation increase in current teacher quality typically raises future teacher quality by about 0.05 standard deviations or less in elementary school and by about 0.25 standard deviations in middle school.
“A one standard deviation increase in current teacher quality typically raises future teacher quality by about 0.05 standard deviations or less in elementary school and by about 0.25 standard deviations in middle school (online Appendix Table 12).”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe gains from deselecting teachers based on estimated value-added grow fairly rapidly with more data in the first three years, but the marginal value of additional information is small.
“The gains grow fairly rapidly with more data in the first three years, but the marginal value of additional information is small.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
May combine two claims.
Findingown dataWith three years of test score data, the gain from deselecting teachers based on estimated value-added is $266,000, but the gain increases to only $279,000 after ten years.
“With three years of test score data, the gain is $266,000, but the gain increases to only $279,000 after ten years.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
Probably not a substantial claim: may not pass S3 (load-bearing).
Findingown dataThe corresponding t-statistic for test scores is 34.0.
“The corresponding t-statistic for test scores is 34.0”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataContemporaneous changes in teacher quality have significant effects on college attendance rates, but past or future changes have no impact.
“contemporaneous changes in teacher quality have significant effects on college attendance rates, but past or future changes have no impact”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe undiscounted cumulative lifetime earnings gains from deselection are 5.5 times larger than the present value gains, at $80,000 per student and $2.25 million per classroom.
“The undiscounted cumulative lifetime earnings gains from deselection are 5.5 times larger than these present value gains ($80,000 per student and $2.25 million per classroom), as shown in online Appendix Table 13.”
Quote in the paperSubstantial claimMay combine two claims.
FindingreasoningAfter three years, waiting for one more year would increase the gain by $4,000 but has an expected cost of $266,000.
“After three years, waiting for one more year would increase the gain by $4,000 but has an expected cost of $266,000.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
May combine two claims.
FindingreasoningWith one year of data, the expected gain per class from deselecting teachers based on estimated value-added is $226,000, which is 56 percent of the gain from selecting on true value-added.
“With one year of data, the expected gain per class is $226,000, 56 percent of the gain from selecting on true VA.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
May combine two claims.
Findingown dataThe impacts of teacher VA on college quality are larger for higher-income and non-minority households in absolute terms.
“the impacts are larger for higherincome and non-minority households in absolute terms.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataLimiting the sample to cells with no imputed VA increases the point estimate of a one standard deviation increase in teacher quality but widens the confidence interval because the sample size is considerably smaller.
“the point estimate of a one standard deviation increase in teacher quality increases, but the confidence interval is significantly wider because the sample size is considerably smaller.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataThe coefficient on contemporaneous changes in teacher quality is positive and highly significant while all other coefficients are near zero and statistically insignificant.
“κ 0 is positive and highly significant while all the other coefficients are near 0 and statistically insignificant.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataThe point estimates of the impacts of teacher VA are larger for females than males, although we cannot reject equality of the impacts (p = 0.102).
“the point estimates of the impacts of teacher VA are larger for females than males, although we cannot reject equality of the impacts ( p = 0.102).”
Quote in the paperNot a substantial claimMay combine two claims.
FindingreasoningThe deselection policy would generate net present value gains of $184,000 per teacher deselected, or $9,250 for all teachers on average.
“Based on our calculations above, the deselection policy would generate NPV gains of $184,000 per teacher deselected, or $9,250 for all teachers on average (because only 1 out of 20 teachers would actually be deselected).”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
May combine two claims.
FindingreasoningThe estimated total undiscounted earnings gains from this policy are approximately $50,000 per child and $1.4 million for the average classroom.
“The estimated total undiscounted earnings gains from this policy are approximately $50,000 per child and $1.4 million for the average classroom.”
Quote in the paperSubstantial claim- The authors state this as an assumption: A one standard deviation improvement in teacher VA raises earnings by 1.34 percent in all subjects and grade levels.
- The authors state this as an assumption: Teachers teach one class per year.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Findingnone givenMeasuring parent income at other points in time yields very similar results.
“Measuring parent income at other points in time yields very similar results (not reported).”
Quote in the paperNot a substantial claimMay combine two claims.
FindingcitationThe attrition rate is unrelated to teacher value-added, consistent with the findings of Boyd et al. (2008).
“The attrition rate is unrelated to teacher VA, consistent with the findings of Boyd et al. (2008).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Boyd et al. (2008)
May combine two claims.
FindingreasoningDrift-unadjusted measures yield rankings of teacher quality that are very highly correlated with the paper's measures and thus produce similar gains.
“As a result, drift-unadjusted measures yield rankings of teacher quality that are very highly correlated with our measures and thus produce similar gains.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Study design and conductnone givenThe within-grade variation in achievement in the district examined is comparable to the within-grade variation nationwide, so the results can be compared to estimates from other samples.
“The within-grade variation in achievement in the district we examine is comparable to the within-grade variation nationwide, so our results can be compared to estimates from other samples.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
PremisecitationSome teachers may be effective at raising students' earnings even if they are not effective at raising test scores, for instance by directly instilling other skills which have long-term payoffs.
“Intuitively, some teachers may be effective at raising students' earnings even if they are not effective at raising test scores, for instance by directly instilling other skills which have long-term payoffs (Jackson 2013).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Jackson 2013
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Interpretationreasoningκ_g does not correspond directly to earnings VA, but it reveals the extent to which the test-score-based VA measures currently used by school districts are informative about teachers' long-term impacts.
“Although κ g does not correspond directly to earnings VA, it reveals the extent to which the test-score-based VA measures currently used by school districts are informative about teachers' long-term impacts.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataThe gains from policies which pay bonuses to high-VA teachers to increase retention rates are only slightly larger than their costs because most bonus payments end up going to high-VA teachers who would have stayed even without the additional payment.
“The gains from such policies are only slightly larger than their costs because most bonus payments end up going to high-VA teachers who would have stayed even without the additional payment.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
InterpretationreasoningThe reduced-form impact κ_g combines the direct impact of having a higher-VA teacher in grade g and the indirect impact of endogenous changes in other educational inputs.
“First, the reduced-form impact combines two effects: the direct impact of having a higher-VA teacher in grade g and the indirect impact of endogenous changes in other educational inputs.”
Quote in the paperSubstantial claimMay combine two claims.
Study design and conductown dataIn the core sample, 15.8 percent of women have teenage births, compared with 14.6 percent in the 2003 ACS.
“In our core sample, 15.8 percent of women have teenage births, compared with 14.6 percent in the 2003 ACS.”
Quote in the paperNot a substantial claimMay combine two claims.
Study design and conductown dataRankings of college quality are very stable across cohorts and robust to alternative specifications provided that earnings are measured after age 28.
“We find that rankings of college quality are very stable across cohorts and are robust to alternative specifications provided that earnings are measured after age 28 (online Appendix Figure 1, online Appendix Table 2).”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
Study design and conductreasoningWe estimate β_Y using within-teacher variation to account for potential sorting of students to teachers based on VA.
“Importantly, we estimate β Y using within-teacher variation to account for the potential sorting of students to teachers based on VA.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThe pattern of fade-out and re-emergence echoes the findings of recent studies of early childhood interventions.
“This pattern of fade-out and re-emergence echoes the findings of recent studies of early childhood interventions (Deming 2009; Heckman et al. 2010b; Chetty et al. 2011).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Deming 2009 source
- cites Heckman et al. 2010b
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Chetty et al. 2011
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims. The quote only partly states this claim.
InterpretationreasoningHigher-quality teachers increase not just attendance but also college completion rates.
“While we cannot directly measure college completion in our data, this finding suggests that higher-quality teachers increase not just attendance but also college completion rates.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
PremisecitationThe increase in earnings from an additional year of schooling is around 9 percent.
“A second benchmark is the increase in earnings from an additional year of schooling, which is around 9 percent (Gunderson and Oreopoulos 2010, Oreopoulos and Petronijevic 2013).”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Gunderson and Oreopoulos 2010 source
- cites Oreopoulos and Petronijevic 2013
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
InterpretationreasoningAt most $195 of the $299 impact is due to the extensive margin response, confirming that teachers improve the quality of colleges which students attend.
“This suggests that at most (41, 756 -17, 920) × 0.82 percent = $195 of the $299 impact is due to the extensive margin response, confirming that teachers improve the quality of colleges which students attend.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Those who are induced to attend college attend a college of average quality.
Probably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationExisting evidence shows that improvements in education raise contemporaneous scores, then fade out in later scores, only to reemerge in adulthood.
“This result aligns with existing evidence that improvements in education raise contemporaneous scores, then fade out in later scores, only to reemerge in adulthood (Deming 2009; Heckman et al. 2010b; Chetty et al. 2011).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Deming 2009 source
- cites Heckman et al. 2010b
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Chetty et al. 2011
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
The quote only partly states this claim.
Study design and conductown dataInclusion of parent characteristics and lagged test score gains has only a modest effect on the point estimates for college quality.
“As with college attendance, the inclusion of these controls has only a modest effect on the point estimates.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
InterpretationreasoningThe continued impacts on college attendance in the mid-20s may be due to increased attendance of graduate or professional schools.
“However, the impacts remain significant even in the mid-20s, perhaps because of increased attendance of graduate or professional schools.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningThis increase is most consistent with an intensive margin effect, as students would be unlikely to jump from not going to college at all to attending a high-quality college.
“This increase is most consistent with an intensive margin effect, as students would be unlikely to jump from not going to college at all to attending a high-quality college.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S2 (checkable). May combine two claims.
InterpretationreasoningHigher income households, whose children have higher earnings on average, should be willing to pay larger amounts for higher teacher VA.
“Hence, higher income households, whose children have higher earnings on average, should be willing to pay larger amounts for higher teacher VA.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
InterpretationcitationComparing the long-term outcomes of students assigned to different teachers conditional on the same control vector will yield unbiased estimates of teachers' long-term impacts.
“Given this result, one may expect that comparing the long-term outcomes of students assigned to different teachers conditional on the same control vector will yield unbiased estimates of teachers' long-term impacts.”
Quote in the paperSubstantial claimMay combine two claims.
Study design and conductown dataThe more conservative approach of clustering by school increases standard errors by 30 percent (for earnings), but does not affect our hypothesis tests at conventional levels of statistical significance.
“The more conservative approach of clustering by school increases standard errors by 30 percent (for earnings), but does not affect our hypothesis tests at conventional levels of statistical significance (online Appendix Table 7).”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenThe mean present value of lifetime earnings at age 12 in the US population is approximately $522,000.
“the mean present value of lifetime earnings at age 12 in the US population is approximately $522,000.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The percentage gain in earnings remains constant at 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings are discounted at a 3 percent real rate (5 percent discount rate with 2 percent wage growth) back to age 12.
Probably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductreasoningWe cluster standard errors at the school by cohort level when estimating (8) at the class level, which adjusts for correlated errors across classrooms and repeat student observations within a school.
“We instead cluster standard errors at the school by cohort level when estimating (8) at the class level, which adjusts for correlated errors across classrooms and repeat student observations within a school.”
Quote in the paperNot a substantial claimMay combine two claims.
Premiseown dataIn elementary school, the standard deviation of teacher effects on student test scores is 0.124 in English and 0.163 in math.
“In Table 2 of our companion paper, we estimated that the standard deviation of teacher effects on student test scores in elementary school is 0.124 in English and 0.163 in math.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
InterpretationreasoningUnder the assumption that teacher value-added is normally distributed, a teacher in the bottom 5 percent of the true value-added distribution is on average 2.063 standard deviations below the mean teacher quality.
“Under the assumption that m jt is normally distributed, a teacher in the bottom 5 percent of the true VA distribution is on average 2.063 standard deviations below the mean teacher quality.”
Quote in the paperSubstantial claim- The authors state this as an assumption: Teacher value-added is normally distributed.
May combine two claims.
Study design and conductown dataWe estimate one-year persistence using more than 5.6 million student-year-subject observations and four-year persistence using more than 1.3 million student-year-subject observations.
“We estimate one-year persistence using more than 5.6 million studentyear-subject observations and four-year persistence using more than 1.3 million student-year-subject observations.”
Quote in the paperSubstantial claimMay combine two claims.
Study design and conductown dataThe first research design relies on a stronger identification assumption but is bolstered by generating results similar to the quasi-experimental design in the full sample.
“which as noted above relies on a stronger identification assumption but is bolstered by generating results which are similar to the quasi-experimental design in the full sample.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningHigher income families should be willing to pay more for high-VA teachers.
“This result implies that higher income families should be willing to pay more for high-VA teachers.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductreasoningThe quasi-experimental estimate is much less precise because it exploits less variation.
“the quasi-experimental estimate is much less precise because it exploits less variation.”
Quote in the paperNot a substantial claimMay combine two claims.
Study design and conductown dataWe have much less power here because college attendance is only observed for the older half of our sample and because college is a much noisier outcome than end-of-grade test scores.
“We have much less power here both because the college attendance is only observed for the older half of our sample and because college is a much noisier outcome than end-of-grade test scores.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataEven though teachers have much smaller impacts on English test scores than math test scores, the small improvements that good teachers generate in English are associated with substantial long-term impacts.
“Even though teachers have much smaller impacts on English test scores than math test scores, the small improvements that good teachers generate in English are associated with substantial long-term impacts.”
Quote in the paperSubstantial claimMay combine two claims.
Interpretationown dataThe pattern of no systematic trend in teacher impacts across grades is consistent with the cross-sectional correlations between test scores and adult outcomes, which are also relatively stable across grades.
“This pattern is consistent with the cross-sectional correlations between test scores and adult outcomes, which are also relatively stable across grades (online Appendix Table 6).”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningThe greater degree of tracking in middle school is consistent with the availability of subject-specific honors classes in grades 7 and 8.
“The greater degree of tracking in middle school is consistent with the availability of subject-specific honors classes in grades 7 and 8.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningIncluding teacher VA in all grades simultaneously is not feasible because the primary research design requires conditioning on lagged test scores and lagged scores are endogenous to teacher quality in the previous grade.
“Unfortunately, this is not feasible because our primary research design requires conditioning on lagged test scores and lagged scores are endogenous to teacher quality in the previous grade.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningBecause value-added estimates are not perfect predictors of true value-added, there is still substantial room to use other measures, such as principal evaluations or student surveys, to complement value-added estimates and improve predictions of teacher quality.
“Nevertheless, because VA estimates are not perfect predictors of m jt , there is still substantial room to use other measures-such as principal evaluations or student surveys-to complement VA estimates and improve predictions of teacher quality.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningReplacing ineffective teachers is more cost-effective than attempting to retain high-value-added teachers because most teachers stay for the following school year and are relatively inelastic to salary increases.
“Replacing ineffective teachers is more cost-effective than attempting to retain high-VA teachers because most teachers stay for the following school year and are relatively inelastic to salary increases.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningBased on these estimates, a one-time bonus payment of $1,800 to high-value-added teachers who return for a fourth year would increase retention rates in the next year by 1.5 percentage points and generate an average benefit of $3,180.
“Based on these estimates, a one-time bonus payment of $1,800 to high-VA teachers who return for a fourth year would increase retention rates in the next year by 1.5 percentage points and generate an average benefit of $3,180.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
- The authors state this as an assumption: Earnings gains are discounted at a 3 percent real annual rate back to age 12.
Probably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningParents should place great value on having their child in the classroom of a high value-added teacher.
“Whether or not VA is ultimately used as a policy tool, our results show that parents should place great value on having their child in the classroom of a high valueadded teacher.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationRecent work has shown that early childhood education has significant long-term impacts.
“Recent work has shown that early childhood education has significant long-term impacts (e.g.,Heckman et al. 2010a, 2010b, Chetty et al. 2011)”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Heckman et al. 2010a
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Heckman et al. 2010b
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Chetty et al. 2011
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
May combine two claims.
Interpretationown dataEstimation error and drift do not heavily erode the gains from deselection of low value-added teachers because very few of the teachers rated in the bottom 5 percent turn out to be high-value-added teachers.
“The reason that estimation error and drift do not heavily erode the gains from deselection of low VA teachers is that very few of the teachers rated in the bottom 5 percent turn out to be high-VA teachers.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningWhile accounting for drift is important for evaluating out-of-sample forecasts accurately, it may not be critical for practical policy applications for value-added.
“Hence, while accounting for drift is important for evaluating out-of-sample forecasts accurately, it may not be critical for practical policy applications for VA.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
PremisecitationClassroom observations have significant noise and may capture transitory fluctuations in teacher quality.
“For instance, classroom observations have significant noise and may capture transitory fluctuations in teacher quality(Kane et al. 2013).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Kane et al. 2013
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenThe remaining students are likely to have parents who did not file tax returns in the early years of the sample when they could have claimed their child as a dependent, making it impossible to link the children to their parents.
“The remaining students are likely to have parents who did not file tax returns in the early years of the sample when they could have claimed their child as a dependent, making it impossible to link the children to their parents.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationA policy that fires teachers if their estimated value-added after three years falls below the fifth percentile would require a mean salary increase of 1.4 percent to equilibrate the teacher labor market.
“Rothstein estimates that a policy which fires teachers if their estimated VA after three years falls below the fifth percentile would require a mean salary increase of 1.4 percent to equilibrate the teacher labor market.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Rothstein (2013)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationcitationOther measures will also be affected by drift and estimation error.
“Of course, these other measures will also be affected by drift and estimation error.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationcitationTogether with the preceding results, Rothstein's findings imply that deselecting low-value-added teachers could be a very cost effective policy if the signal quality of value-added does not fall substantially when used for personnel evaluation.
“Together with the preceding results, Rothstein's (2013) findings imply that deselecting low-VA teachers could be a very cost effective policy if the signal quality of VA does not fall substantially when used for personnel evaluation.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Rothstein (2013)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
The authors state this as an assumption.
Unobserved determinants of outcomes in adulthood such as student ability are unrelated to teacher VA conditional on observable characteristics.
“The identification assumption underlying this research design is selection on observables: unobserved determinants of outcomes in adulthood such as student ability must be unrelated to teacher VA conditional on the observable characteristics.”
The authors state this as an assumption.
High-frequency teacher turnover within school-grade cells is uncorrelated with student and school characteristics.
“Our quasi-experimental results rest on the identification assumption that high-frequency teacher turnover within school-grade cells is uncorrelated with student and school characteristics.”
The authors state this as an assumption.
Test-score value-added estimates are forecast unbiased: the covariance between true and estimated VA divided by the variance of estimated VA equals 1.
“ASSUMPTION 1 (Forecast Unbiasedness of Test-Score VA): Test-score value-added estimates μ jt are forecast unbiased: Cov ( μ jt , μ jt ) _ Var ( μ jt ) = Cov ( m jt , m jt ) _ Var ( m jt ) = 1.”
The authors state this as an assumption.
The impact of teacher VA on earnings remains constant at 1.3 percent over the life cycle.
“If the impact on earnings remains constant at 1.3 percent over the life cycle, students would gain approximately $39,000 on average in cumulative lifetime income from a one standard deviation improvement in teacher VA in a single grade.”
The authors state this as an assumption.
The signal quality of VA for long-term impacts does not fall substantially when it is used to evaluate teachers.
“This result suggests that VA could potentially be a useful tool for evaluating teacher performance if the signal quality of VA for long-term impacts does not fall substantially when it is used to evaluate teachers.”
The authors state this as an assumption.
Test-score value-added estimates are orthogonal to unobserved determinants of earnings conditional on X.
“ASSUMPTION 2 (Selection on Observables): Test-score value-added estimates are orthogonal to unobserved determinants of earnings conditional on X it : (7) Cov ( m jt , η it ′ ) = 0.”
The authors state this as an assumption.
Those who are induced to attend college attend a college of average quality.
“Second, we derive a lower bound on the intensive margin effect by assuming that those who are induced to attend college attend a college of average quality.”
The paper relies on this without support.
Any selection effects would be manifested in all outcomes (test scores, college attendance, earnings, etc.).
“as any selection effects would presumably be manifested in all of these outcomes.”
The authors state this as an assumption.
The unobserved determinants of students' long-term outcomes are uncorrelated with teacher quality conditional on observables.
“The estimates in the previous section rely on the assumption that the unobserved determinants of students' long-term outcomes are uncorrelated with teacher quality conditional on observables.”
The authors state this as an assumption.
The distribution of unobserved determinants of students' long-term outcomes does not change between adjacent cohorts; student quality is stable over time.
“provided that student quality is stable over time.”
The authors state this as an assumption.
Changes in teacher quality across cohorts within a school-grade are orthogonal to changes in other determinants of student outcomes across cohorts.
“ASSUMPTION 3 (Teacher Switching as a Quasi-Experiment): Changes in teacher quality across cohorts within a school-grade are orthogonal to changes in other determinants of student outcomes Δ η sgt ′ across cohorts: (10) Cov ( Δ Q sgt , Δ η sgt ′ ) = 0.”
The authors state this as an assumption.
The percentage gain in earnings remains constant at 1.34 percent over the life cycle.
“Assume that the percentage gain in earnings remains constant at 1.34 percent over the life cycle”
The authors state this as an assumption.
Earnings are discounted at a 3 percent real rate (5 percent discount rate with 2 percent wage growth) back to age 12.
“and that earnings are discounted at a 3 percent real rate (i.e., a 5 percent discount rate with 2 percent wage growth) back to age 12”
The authors state this as an assumption.
The undiscounted lifetime earnings gain assumes a 2 percent growth rate but 0 percent discount rate.
“assuming a 2 percent growth rate but 0 percent discount rate”
The authors state this as an assumption.
The marginal entrant into the labor market would take a job paying the mean earnings level in the sample ($21,256).
“If the marginal entrant into the labor market were to take a job that paid the mean earnings level in the sample ($21,256)”
The paper relies on this without support.
The marginal entrant into the labor market most likely has lower earnings than the mean.
“Since the marginal entrant most likely has lower earnings than the mean”
The authors state this as an assumption.
All tracking to future teachers occurs exclusively via teachers' test-score value-added.
“First, it assumes that all tracking to future teachers occurs exclusively via teachers' test-score VA.”
The authors state this as an assumption.
Net impacts do not net out potential changes in other factors besides teachers, such as peer quality or parental inputs.
“Second, ˜ κ g does not net out potential changes in other factors besides teachers, such as peer quality or parental inputs.”
The authors state this as an assumption.
Teacher effects are additive across grades.
“Finally, our approach assumes that teacher effects are additive across grades.”
The authors state this as an assumption.
The percentage impact of a one standard deviation improvement in teacher value-added on earnings observed at age 28 is constant at b = 1.34 percent over the life cycle.
“First, we assume that the percentage impact of a one standard deviation improvement in teacher VA on earnings observed at age 28 is constant at b = 1.34 percent (Table 3, column 2) over the life cycle.”
The authors state this as an assumption.
General equilibrium effects which may reduce wage rates if all children are better educated are ignored.
“Second, we ignore general equilibrium effects which may reduce wage rates if all children are better educated.”
The authors state this as an assumption.
Earnings gains are discounted at a 3 percent real annual rate back to age 12.
“Third, we follow Krueger (1999) and discount earnings gains at a 3 percent real annual rate (consistent with a 5 percent discount rate and 2 percent wage growth) back to age 12, the average age in our sample.”
The authors state this as an assumption.
Teacher value-added is normally distributed.
“Finally, we assume that teacher VA m jt is normally distributed.”
The authors state this as an assumption.
Teachers are evaluated based purely on their value-added in one subject, and value-added in the other subject is ignored.
“For simplicity, we assume that teachers are evaluated based purely on their VA in one subject (say math) and VA in the other subject is ignored.”
The authors state this as an assumption.
The calculations ignore downstream costs that may be required to generate earnings gains, most notably the cost associated with higher college attendance rates.
“First, they ignore downstream costs that may be required to generate earnings gains, most notably the cost associated with higher college attendance rates.”
The authors state this as an assumption.
The calculations ignore the fact that teachers need to be compensated for the added employment risk they face from such an evaluation system.
“Second, and more importantly, they ignore the fact that teachers need to be compensated for the added employment risk they face from such an evaluation system.”
The paper relies on this without support.
There is no evidence to date on the long-term impacts of teacher quality as measured by value-added.
“but there is no evidence to date on the long-term impacts of teacher quality as measured by value-added.”
The authors state this as an assumption.
A one standard deviation improvement in teacher VA raises earnings by 1.34 percent in all subjects and grade levels.
“We therefore assume that a one standard deviation improvement in teacher VA raises earnings by 1.34 percent in all subjects and grade levels in the calculations that follow.”
The authors state this as an assumption.
Teachers teach one class per year.
“All calculations assume that teachers teach one class per year and report mean values for math and English teachers, which are calculated separately.”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
There is substantial variability in teacher job performance, measured in the short run by students' test scores and in the long run by students' economic and social success as adults.
“And there is substantial variability in teacher job performance: measured both in the short-run with students' test scores (see Jackson, Rockoff, and Staiger 2014 for a review) and the long-run with students' economic and social success years later as adults (Chetty, Friedman, and Rockoff 2014).”
From Learning Job Skills from Colleagues at Work: Evidence from a Field Experiment Using Teacher Performance Data (2020) · cites this paper as Chetty, Friedman, and Rockoff 2014
Chetty et al. (2014) estimate that a 1 standard deviation increase in teacher value-added corresponds with a 0.4 percentage point increase in adult employment.
“Chetty et al. (2014) estimate that a 1 standard deviation increase in teacher value-added (VA) corresponds with a 0.4 percentage point increase in adult employment.”
From A More Credible Approach to Parallel Trends (2023) · cites this paper as Chetty et al. (2014)
VA measures which control for lagged test scores exhibit little or no bias.
“We addressed the first question in the previous paper in this volume (Chetty, Friedman, and Rockoff 2014) and concluded that VA measures which control for lagged test scores exhibit little or no bias.”
From Measuring the Impacts of Teachers II: Teacher Value-Added and Student Outcomes in Adulthood (2014) · cites this paper as Chetty, Friedman, and Rockoff 2014
Conditioning on prior test scores and other observables is adequate to obtain unbiased estimates of teachers' causal impacts on test scores.
“Our first method of estimating teachers' long-term impacts builds on our finding that conditioning on prior test scores and other observables is adequate to obtain unbiased estimates of teachers' causal impacts on test scores (Chetty, Friedman, and Rockoff 2014).”
From Measuring the Impacts of Teachers II: Teacher Value-Added and Student Outcomes in Adulthood (2014) · cites this paper as Chetty, Friedman, and Rockoff 2014
Existing test-score value-added measures are a good proxy for a teacher's ability to raise students' test scores.
“Our first paper (Chetty, Friedman, and Rockoff 2014) showed that existing testscore value-added measures are a good proxy for a teacher's ability to raise students' test scores.”
From Measuring the Impacts of Teachers II: Teacher Value-Added and Student Outcomes in Adulthood (2014) · cites this paper as Chetty, Friedman, and Rockoff 2014
Chetty et al. (2014) observed that increasing student achievement by 0.20 SD results on average in a 2.6 percent increase in annual lifetime earnings.
“Additionally, Chetty et al. (2014) observe that increasing student achievement by 0.20 SD results on average in a 2.6 percent increase in annual lifetime earnings (Maldonado & De Witte, 2020).”
From Learning loss during Covid-19: An early systematic review (2022) · cites this paper as Chetty et al. (2014)
Raising student achievement by 0.2 standard deviations results, on average, in a 2.6% increase in annual lifetime earnings.
“To put these observed effects into perspective, Chetty et al. (2014) observe that raising student achievement by 0.2 standard deviations results, on average, in a 2.6% increase in annual lifetime earnings.”
From The effect of school closures on standardised student test outcomes (2022) · cites this paper as Chetty et al. (2014)
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Teacher-quality changes are described as both entirely staff-driven and partly due to drift
MinorThe methodology says changes in mean teacher VA are driven purely by staff changes. A footnote instead says drift in predicted VA for continuing teachers accounts for 5.5 percent of their variance.
“the variation in Δ Q sgt is driven purely by changes in the teaching staff and not by changes in teachers' VA estimates.”
“Part of the variation in Δ Q sgt comes from drift.Even for a given teacher, predicted VA will change because our forecast of VA varies across years.Because the degree of drift is small across a single year, drift accounts for 5.5 percent of the variance in Δ Q sgt .”
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Drug Battles and School Achievement: Evidence from Rio de Janeiro's Favelas
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Teacher Quality Policy When Supply Matters
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- Authors
- Chetty, R., Friedman, J. N., & Rockoff, J. E.
- Affiliations
- Harvard University (US)
- Columbia University (US)
- ORCID
- Chetty, Raj
- Venue
- American Economic Review
- Publisher
- American Economic Association
- Published
- 2014-09-01
- Volume
- 104
- Issue
- 9
- Pages
- 2633-2679
- ISSN
- 0002-8282 (ISSN-L)
- OpenAlex
- W1976049077
- Cited by
- 1,717
- References
- 55
- Citations by year
- 2026: 116 · 2025: 169 · 2024: 146 · 2023: 180 · 2022: 181 · 2021: 153 · 2020: 142 · 2019: 145 · 2018: 134 · 2017: 92 · 2016: 144 · 2015: 73 · 2014: 32 · 2013: 7 · 2012: 1
- FWCI
- 584.51
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- American Economic Review (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
- Topics
- Social Sciences › Education › School Choice and Performance
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Labor market dynamics and wage inequality
- Social Sciences › Education › Teacher Education and Assessments
- Keywords
- teacher value-added, teacher quality, student outcomes, college attendance, adult earnings, teenage childbearing, lifetime income, teacher assignment
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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