Cited by 296Memory Processes and InfluencesSecond Language Acquisition and LearningVisual and Cognitive Learning Processes

Optimizing distributed practice

Open access
Cepeda, Nicholas J., Coburn, Noriko, Rohrer, Doug, Wixted, John T., Mozer, Michael C., Pashler, Harold·2009·Experimental Psychology

Abstract

More than a century of research shows that increasing the gap between study episodes using the same material can enhance retention, yet little is known about how this so-called distributed practice effect unfolds over nontrivial periods. In two three-session laboratory studies, we examined the effects of gap on retention of foreign vocabulary, facts, and names of visual objects, with test delays up to 6 months. An optimal gap improved final recall by up to 150%. Both studies demonstrated nonmonotonic gap effects: Increases in gap caused test accuracy to initially sharply increase and then gradually decline. These results provide new constraints on theories of spacing and confirm the importance of cumulative reviews to promote retention over meaningful time periods.

Integrity signals

Registry

Crossref · 10.1027/1618-3169.56.4.236

Cites

72 of 72 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

12 of 36 cited sources checked · 2 supported · 0 flagged · accuracy not yet measured

  • Premisecitation

    A recent literature review found only 14 studies comparing very short gaps (less than three hours) and long gaps (one day or more) with test delays of one day or more.

    “A recent literature review (Cepeda et al., 2006) found just 14 studies that provided comparisons of very short (less than three hours) and long (one day or more) gaps with test delays of one day or more”
    Quote in the paperSubstantial claim1 of 1 sources checked
    • cites Cepeda et al., 2006 source

      The review reports that the literature does not fully represent combinations of inter-study intervals and test delays (Spacing Effects, p. 8), and calls for more studies with educationally relevant intervals (Limitations, p. 14). These passages support the claim that evidence for such comparisons was limited, but our copy does not establish the specific count of 14 studies meeting the stated gap and test-delay thresholds. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
  • Premisecitation

    In each of those 14 studies, a gap of one day or more was superior to a very short gap.

    “In each study, a one-or-more day gap was superior to a very short gap.”
    Quote in the paperSubstantial claim1 of 1 sources checked
    • cites Cepeda et al., 2006 source

      The Educational Implications section (p. 14) supports a benefit from gaps of at least one day for long-term retention, and the Limitations section (p. 14) says multi-day spacing outperforms spacing of a few minutes for long-term retention. The paper does not establish that this comparison favored the longer gap in each of the 14 studies; its lag analysis (p. 8) finds little, if any, effect at retention intervals shorter than one day. (LLM, conf=0.83)

      Experimental — accuracy not yet measured
  • Findingown data

    In the combined data from the Cepeda et al. (2006) meta-analysis and this paper, the best gap rises with the test delay.

    “First, optimal gap increases as a function of test delay.”
    • Also stated in: § Additional information · plain
      “Optimal gap increases as test delay increases, and the ratio of optimal gap to test delay decreases as test delay increases.”
    Quote in the paperSubstantial claim1 of 1 sources checked
    • cites Cepeda et al. (2006) source
  • Findingown data

    The best gap becomes a smaller fraction of the test delay as that delay grows.

    “Second, the ratio of optimal gap to test delay appears to decrease as a function of test delay.”
    Quote in the paperSubstantial claim1 of 1 sources checked
    • cites Cepeda et al. (2006) source

      The General Discussion (p. 11) says that the optimal inter-study interval increases as the retention interval increases. It does not establish the more specific claim that the optimal interval becomes a decreasing fraction of the test delay. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
  • Premisecitation

    Compared with testing plus feedback, review is an ineffective restudy method.

    “review, as compared to testing with feedback, is a poor way to restudy information (Pashler, Cepeda, Wixted, & Rohrer, 2005).”
    Quote in the paperNot a substantial claim1 of 1 sources checked
    • cites Pashler, Cepeda, Wixted, & Rohrer, 2005 source

      The Results and Discussion (page unavailable) report that correct-answer feedback after an incorrect response improved one-week retention compared with no feedback. But the paper does not compare testing with feedback against review or restudy, so it does not establish that review is a poor restudy method. (LLM, conf=0.83)

      Experimental — accuracy not yet measured
  • May combine two claims. 27
  • Classified as probably not a substantial claim. 15
  • The quote only partly states this claim. 2
  • May combine two claims.

    Premisecitation

    Including gaps of at least one day ensures the range includes at least one night of sleep, which may play a significant role in memory retention.

    “Including gaps of at least one day insures that the range includes at least one night of sleep, which may play a significant role in memory retention”
    Quote in the paperSubstantial claim1 of 1 sources checked
    • cites Peigneux, Laureys, Delbeuck, & Maquet, 2001 source

      The indexed copy returns a repository listing and bibliography, but no passage from the paper’s body addressing whether a night of sleep aids memory retention. Searches for post-training sleep, overnight consolidation, and memory retention found no usable body-text passage; the repository abstract is not evidence under this rubric. (LLM, conf=0.70)

      Experimental — accuracy not yet measured
  • Probably not a substantial claim: may not pass S1 (asserted), S3 (load-bearing).

    Premisecitation

    Previous authors have suggested that test accuracy might follow an inverted U-function of gap.

    “The possibility that test accuracy might follow an inverted U-function of gap has been suggested by previous authors”
    Quote in the paperNot a substantial claim1 of 3 sources checked
    • cites Balota, Duchek & Paullin, 1989

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites Glenberg, 1976 source
    • cites Glenberg & Lehmann, 1980 source

      The Abstract and General Discussion (pages unavailable in our copy) say that recall varies with the gap between repetitions. They describe a proportionality rule: recall increases with spacing when the retention interval is relatively long, but decreases with spacing when it is relatively short. They do not suggest an inverted-U curve with a peak at an intermediate gap. (LLM, conf=0.82)

      Experimental — accuracy not yet measured
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Distributed practice research has had little effect on educational practice.

    “area has had little effect on educational practice (Dempster, 1988(Dempster, , 1989;;Pashler, Rohrer, Cepeda, & Carpenter, 2007).”
    Quote in the paperNot a substantial claim3 of 3 sources checked
    • cites Dempster, 1988 source

      The cited DOI identifies a horticulture paper, not an education paper, and it is not indexed in Semantic Scholar; its text and abstract were unavailable for verification. A snippet from “Beyond Time-on-Task: The Relationship Between Spaced Study and Certification in MOOCs” says the spacing effect was slow to enter educational practice and cites a Dempster (1988) work, suggesting the citing document may have linked to the wrong Dempster paper. That secondary snippet does not establish that the horticulture paper makes the claim, but the unavailable source text also prevents the definitive check required for a misattribution verdict. (LLM, conf=0.78)

      Experimental — accuracy not yet measured
    • cites Dempster, 1989 source

      The supplied DOI identifies Dempster’s *Theory and Applications of Belief Functions*, a different topic from distributed practice; two searches within that paper returned no snippets supporting the claim. An unscoped snippet in *Beyond Time-on-Task: The Relationship Between Spaced Study and Certification in MOOCs* says the spacing effect was slow to enter educational practice and attributes that observation to Dempster (1988), but its score is only 0.517. This suggests the supplied source is a bibliographic mismatch, but the available evidence does not establish the intended work strongly enough for a misattribution verdict under the specified threshold. (LLM, conf=0.72)

      Experimental — accuracy not yet measured
    • cites Pashler, Rohrer, Cepeda, & Carpenter, 2007 source
  • May combine two claims.

    Premisecitation

    Welborn (1933) used a 28-day test delay but omitted feedback from Session 2, implying the second session probably provided no opportunity to learn items not learned in Session 1.

    “Welborn (1933) used a 28-day test delay, but also omitted feedback from Session 2, implying that the second session probably provided no opportunity for learning those items not learned during Session 1”
    Quote in the paperSubstantial claim1 of 2 sources checked
    • cites Welborn (1933)

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites Pashler, Cepeda, Wixted, & Rohrer, 2005 source

      The Materials and stimuli section says this paper’s own Session 2 occurred about one week later and gave no feedback. Searches for Welborn, 1933, and a 28-day delay found no passage describing Welborn’s study or supporting the inference about its second session. (LLM, conf=0.75)

      Experimental — accuracy not yet measured
  • May combine two claims.

    Premisecitation

    The literature contains no studies supporting the idea that distributed practice aids concept learning, and recent work by the authors does not support it either.

    “Additionally, Gagné et al. state that distributed practice improves concept learning but we have found no existing studies in the literature that support this claim, and our recent studies fail to support this claim (Pashler, Rohrer, Cepeda, & Carpenter, 2007).”
    Quote in the paperNot a substantial claim1 of 1 sources checked
    • cites Pashler, Rohrer, Cepeda, & Carpenter, 2007 source

      The section “Spacing in perceptual categorization learning” reports no spacing benefit in the authors’ recent categorization studies, supporting that part of the claim. It says this task is “almost absent” from the spacing literature, not that no existing study supports distributed practice for concept learning. The paper also reports a spacing benefit for learning a mathematical principle, so its negative finding should not be generalized to all concept learning. (LLM, conf=0.85)

      Experimental — accuracy not yet measured
  • May combine two claims.

    Findingown data

    In two three-session laboratory studies, an optimal gap improved final recall by up to 150%.

    “An optimal gap improved final recall by up to 150%.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    In Experiment 1, Tukey HSD tests showed the zero-day gap produced significantly worse recall than the 1-, 2-, 4-, and 7-day gaps, with no other pairwise comparisons significant.

    “Tukey HSD tests show that the zero-day gap produced significantly worse recall than the 1, 2, 4, and 7-day gaps; no other pair-wise comparisons were significant.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    In Experiment 2, performance on the third and final test of Session 1 showed no main effect or interaction involving gap, although facts showed slightly greater learning than pictures (94 vs 90%), F(1,155)=10.3, p<.005.

    “Likewise, performance on the third and final test of Session 1 showed no main effect or interaction involving gap, although facts showed slightly greater learning than pictures (94 vs. 90%), F(1,155) = 10.3, p < .005.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    The six-month gap results agree in kind and magnitude with the three-month gap results and with prior literature.

    “The data from this group are qualitatively and quantitatively consistent with the three-month gap data and the literature more broadly.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    For delays of minutes, the best gap is nearly equal to the delay; for delays of many days, it is about one-tenth of the delay.

    “At very short test delays, on the order of minutes, the ratio is close to 1.0; at multiday test delays, the ratio is closer to 0.1.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    In Experiment 2, the 28-day gap produced 151% greater retention than the 0-day gap, whereas the 1-day gap produced only an 18% improvement over the 0-day gap.

    “the 28-day gap produced 151% greater retention than the 0-day gap, whereas the 1day gap produced only an 18% improvement over the 0-day gap.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    Gap had nonmonotonic effects on final recall even when test delays exceeded one week; accuracy rose and then fell as gap grew.

    “Second, gap had nonmonotonic effects on final recall even with test delays longer than a week; accuracy first increased and then decreased as gap increased.”
    • Also stated in: § INSERT FIGURE 5 ABOUT HERE · boosted
      “Studyphase retrieval theories predict -and our data show -an inverted-U shaped function of gap on performance following a test delay.”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Findingown data

    In Experiment 2, first-test accuracy ranged from 75-82% by gap for facts and 45-64% by gap for objects.

    “First-test accuracy ranged from 75 -82% by gap for facts and from 45 -64% by gap for objects.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Findingown data

    Fitting the quadratic function of log gap yielded best scores of 71%, 52%, and 21% and best gaps of 3.7, 25.6, and 37.1 days for Experiment 1, Experiment 2 facts, and Experiment 2 objects, in that order.

    “Fits of this function to the data in Experiments 1, 2 (facts), and 2 (objects) produced optimal test scores of 71%, 52%, and 21%, respectively, and optimal gaps of 3.7, 25.6, and 37.1 days, respectively.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: The quadratic-in-log-gap function is an adequate description of the relationship between gap and final test score, despite not being theoretically motivated.
  • May combine two claims.

    Findingown data

    In Experiment 2, there were main effects of gap, F(5,155)=8.3, p<.001, and material, F(1,155)=502.2, p<.001, and an interaction between gap and material, F(5,155)=4.6, p<.005.

    “There were main effects of gap, F(5,155) = 8.3, p < .001,and material, F(1,155) = 502.2,p < .001,and an interaction between gap and material, F(5,155) = 4.6, p < .005.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Interpretationreasoning

    Those four studies suggest that a gap of roughly one day is optimal, but they do not demonstrate this with much certainty, especially given the restricted test delays.

    “These studies suggest that a gap of roughly one day is optimal, but they hardly demonstrate this claim with any certainty, especially given the restricted set of test delays used.”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim. May combine two claims.

    Study design and conductreasoning

    In Experiment 1, subjects were not taught to criterion in the second learning session because doing so would confound gap with number of trials.

    “(Subjects were not taught to criterion in the second learning session, as they were in the first, because that would have confounded gap and the number of trials required during the second session, as explained in the Introduction.)”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Premisereasoning

    Few data address retention overnight, much less over weeks or months.

    “Few data speak to retention overnight, much less over weeks or months.”
    Quote in the paperSubstantial claim
  • Classified as probably not a substantial claim.

    Study design and conductown data

    In Experiment 1, subjects were randomly assigned to one of six gap conditions.

    “Subjects were randomly assigned to one of six conditions (0, 1, 2, 4, 7, or 14 day gap).”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S4 (based).

    Premisenone given

    No one has quantitatively characterized distributed practice functions over intervals much longer than a day.

    “Because no one has quantitatively characterized the nature of distributed practice functions over time intervals much beyond a day”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim.

    Premisenone given

    Little is known about how the distributed practice effect develops over long, nontrivial intervals.

    “yet little is known about how this socalled distributed practice effect unfolds over nontrivial periods”
    Quote in the paperSubstantial claim
  • May combine two claims.

    Interpretationown data

    The current results and prior work support the possibility that the best gap grows with the test delay but becomes a smaller share of it.

    “Instead, the present findings, in conjunction with the literature, are consistent with the possibility that the optimal gap increases with test delay, albeit as a declining proportion of test delay.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Study design and conductown data

    In Experiment 2, items answered correctly during the pretest were excluded from analysis, leading to exclusion of less than 1% of items on average.

    “For each subject, items that were answered correctly during the pretest were excluded from analysis of their data, leading to the exclusion of less than one percent of items, on average.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Interpretationown data

    The results demonstrate that a one-day gap is not always optimal, since zero- and one-day gaps were not significantly different, and recall was significantly worse for one-day versus 28-day gaps.

    “Quite dramatically, this demonstrates that a one-day gap is not always optimal, since zero-and one-day gaps were not significantly different, and recall was significantly worse for one-day versus 28-day gaps.”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S1 (asserted).

    Interpretationreasoning

    Because the four prior studies and Experiment 1 used approximately equal test delays, a much longer test delay might yield an optimal gap other than one day.

    “However, because these four studies and Experiment 1 used approximately equal test delays, the possibility remains that a much longer test delay would yield an optimal gap other than one day.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Study design and conductown data

    In Experiment 2, dropout rates did not vary across conditions except that the six-month gap condition had fewer subjects.

    “Table 2 shows fewer subjects in the six-month gap condition, partly due to the increased difficulty maintaining contact with these subjects; otherwise, dropout rates did not vary across conditions.”
    Quote in the paperNot a substantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductown data

    On many demographic measures, the six-month gap participants matched the other participants.

    “Subjects in the six-month gap condition were equivalent to other subjects on a wide range of demographic measures.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Premisecitation

    Using massed practice and overlearning wastes time.

    “Morrison et al. (2001) suggest writing facts over and over to learn them; this prescription for massed practice and overlearning is a highly inefficient use of time (Rohrer, Taylor, Pashler, Wixted, & Cepeda, 2005).”
    Quote in the paperSubstantial claim0 of 1 sources checked
    • cites Rohrer, Taylor, Pashler, Wixted, & Cepeda, 2005

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • Classified as probably not a substantial claim. May combine two claims.

    Premisecitation

    When textbooks do mention distributed practice, they usually give it a paragraph or less and make inconsistent, frequently wrong recommendations about spacing.

    “Those texts that mention the distributed practice effect often devote a paragraph or less to the topic”
    • Also stated in: § Practical Implications · plain
      “and offer widely divergent suggestionsmany incorrect -about how long the lag between study sessions ought to be”
    Quote in the paperSubstantial claim0 of 3 sources checked
    • cites Glaser, 2000

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites Jensen, 1998
    • cites Ormrod, 1998

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

  • May combine two claims.

    Interpretationown data

    The results suggest that the 28-day gap was optimal and support a claim that final-test recall gradually declines with too-long gaps.

    “This suggests that the 28day gap was optimal and supports a claim that final-test recall gradually declines with too-long gaps.”
    Quote in the paperSubstantial claim
  • The quote only partly states this claim.

    Study design and conductown data

    In Experiment 2, pilot testing confirmed that the multiple-choice options were about equally likely to be chosen by subjects with no prior knowledge of the fact or object.

    “Pilot testing confirmed that the options in the multiple-choice test were about equally likely to be chosen by subjects with no previous knowledge of the fact or object.”
    Quote in the paperNot a substantial claim
  • Classified as probably not a substantial claim.

    Study design and conductown data

    In Experiment 2, subjects were randomly assigned to one of six gap conditions.

    “Subjects were randomly assigned to one of six conditions (0, 1, 7, 28, 84, or 168 day gap).”
    Quote in the paperSubstantial claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). The quote only partly states this claim.

    Study design and conductnone given

    In Experiment 2, all coding was done blind to experimental condition.

    “All coding was done blind to experimental condition.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Interpretationown data

    The interaction between gap and material likely reflects different degrees of improvement relative to baseline for fact versus visual object materials, with no obvious qualitative differences.

    “The interaction between gap and material likely reflects the different degrees of improvement, relative to baseline, for fact versus visual object materials; there are no obvious qualitative differences in the results.”
    Quote in the paperNot a substantial claim
  • May combine two claims.

    Study design and conductown data

    In Experiment 2, pilot data suggested Swahili-English word pairs would produce floor effects after a 6-month delay, so the authors chose material shown to produce lesser forgetting.

    “Because pilot data suggested that Swahili-English word pairs (which were used in Experiment 1) would produce floor effects after a 6-month test delay, we chose material that was shown to produce lesser rates of forgetting.”
    Quote in the paperSubstantial claim
    • Rests on an assumption: The material chosen for Experiment 2 produces lesser rates of forgetting than Swahili-English word pairs.
  • May combine two claims.

    Premisecitation

    A published encoding variability model and the authors' preliminary modeling both support encoding variability theory.

    “Both a published encoding variability model (Raaijmakers, 2003) and our own preliminary modeling efforts (Mozer, Cepeda, Pashler, Wixted, & Cepeda, 2008) lend support to this theory.”
    Quote in the paperNot a substantial claim0 of 2 sources checked
    • cites Raaijmakers, 2003

      Couldn’t be matched to a paper in Crossref, so it can’t be checked.

    • cites Mozer, Cepeda, Pashler, Wixted, & Cepeda, 2008

      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.

    Study design and conductown data

    With only a limited set of gaps tested, the actual best gap could differ slightly from the observed one, leaving the data unable to confirm or deny a further decline in the ratio for multi-day delays.

    “Because we only used a limited range of gaps in the present studies, and the true optimal gap in each of our studies might be slightly shorter or longer than the observed optimal gap, our current data neither support nor refute the existence of a further decreasing ratio, within the multi-day test delay period.”
    Quote in the paperNot a substantial claim
37 of 37
  • The paper relies on this without support.

    The laboratory materials and tasks used in the studies are educationally relevant and representative of real-world learning.

    “The material was again educationally relevant: Not-well-known facts and names of unfamiliar visually presented objects.”
  • The paper relies on this without support.

    The test delays used (10 days and 6 months) are educationally meaningful.

    “when the retention interval was educationally meaningful.”
  • The paper relies on this without support.

    The distributed practice effects observed in these laboratory tasks generalize to real-world educational contexts.

    “confirm the importance of cumulative reviews to promote retention over meaningful time periods”
  • The paper relies on this without support.

    The material chosen for Experiment 2 produces lesser rates of forgetting than Swahili-English word pairs.

    “we chose material that was shown to produce lesser rates of forgetting.”
  • The paper relies on this without support.

    The facts and objects used in Experiment 2 are not well-known to the subjects.

    “a list of 23 notwell-known facts was assembled”
  • The paper relies on this without support.

    The simulated classroom setting is representative of actual classroom learning.

    “The experiment was conducted in a simulated classroom setting in a windowless room.”
  • The paper relies on this without support.

    The quadratic-in-log-gap function is an adequate description of the relationship between gap and final test score, despite not being theoretically motivated.

    “Although this function is not theoretically motivated, its parameters are meaningful.”
  • The authors state this as an assumption.

    The findings will generalize to classroom settings, at least for learning 'cut and dry' material.

    “If these findings generalize to a classroom setting -and we expect they will, at least with regard to learning”
8 of 8

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 evidence from lab experiments with just one re-exposure that the optimal interstudy interval depends on the retention interval.

    “Also, there is evidence from lab experiments with just one re-exposure that the optimal interstudy interval depends on the retention interval (Cepeda et al., 2009).”
  • Reactivation of memory traces may constitute an additional temporal substrate that underlies the longest reported effective intervals, on the order of a week.

    “Reactivation of memory traces may constitute an additional temporal substrate that underlies the longest reported effective intervals, on the order of a week71.”
  • For verbal learning with a retention interval of 6 months, a training interval of 7 days was superior to an interval of 3 days.

    “For verbal learning with a retention interval of 6 months, a training interval of 7 days was superior to an interval of 3 days71.”
  • In human verbal learning, a positive correlation exists between the length of inter-trial intervals for effective spaced learning and the retention interval.

    “For example, in human verbal learning, an interesting positive correlation exists between the length of inter-trial intervals for effective spaced learning and the retention interval (that is, the interval between the final training trial and the test of memory retention).”
  • In humans, a number of cognitive models have been proposed to explain the superiority of spaced training or practice, but no consensus has emerged as to their usefulness or generality.

    “In humans, a number of cognitive models have been proposed to explain the superiority of spaced training or practice1,30, but no consensus has emerged as to their usefulness or generality31.”

    From Computational design of enhanced learning protocols (2012) · cites this paper as [31]

Statistics recomputed

Every reported test result, recomputed from its test statistic and degrees of freedom. A result shows as not adding up only once an independent check has confirmed it.

  • ConsistentF(5, 176) = 3.7reported p < .005 · recomputed p = .003

    “F(5,176) = 3.7, p < .005”

  • ConsistentF(1, 155) = 254.9reported p < .001 · recomputed p < .001

    “F(1,155) = 254.9,p < .001”

  • ConsistentF(1, 155) = 10.3reported p < .005 · recomputed p = .002

    “F(1,155) = 10.3, p < .005”

  • ConsistentF(5, 155) = 8.3reported p < .001 · recomputed p < .001

    “F(5,155) = 8.3, p < .001”

  • ConsistentF(1, 155) = 502.2reported p < .001 · recomputed p < .001

    “F(1,155) = 502.2,p < .001”

  • ConsistentF(5, 155) = 4.6reported p < .005 · recomputed p < .001

    “F(5,155) = 4.6, p < .005”

  • ConsistentF(5, 155) = 4.9reported p < .001 · recomputed p < .001

    “F(5,155) = 4.9, p < .001”

7 of 7

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

  • Conflicting changes for the 28-to-168-day gap comparison

    Minor

    Table 3 reports a −4.8-point change from 28 to 168 days, but its intervening changes sum to −9.7 points (within rounding of the table's other reported value, −9.8). The table also gives two different effect sizes for the same comparison.

    Reported -4.8 · recomputed -9.7

1 of 1

Cites

Flagged first, then by citations

Research works printed but not linked: 7

  1. Dempster F. N., 1993, Journal of Instructional Psychology, 20, 197
  2. Jost A., 1897, Zeitschrift für Psychologie und Physiologie der Sinnesorgane, 14, 436
  3. Moss V. D., 1995, Dissertation Abstracts International, 56, 5204
  4. Murray J. T., 1983, Dissertation Abstracts International, 43, 3058
  5. Smith P. L., 1999, Instructional design
  6. Strong E. C., 1973, Dissertation Abstracts International, 33, 4615
  7. Welborn E. L., 1933, I. U. School of Education Bulletin, 10, 12

Cited by

Sorted by citations

Authors
Cepeda, N. J., Coburn, N., Rohrer, D., Wixted, J. T., Mozer, M. C., & Pashler, H.
Affiliations
  • York University (CA)
  • University of California San Diego (US)
  • University of South Florida (US)
  • University of Colorado Boulder (US)
Venue
Experimental Psychology
Published
2009-01
Volume
56
Issue
4
Pages
236-246
ISSN
  • 0949-3964 (ISSN-L)
  • 1618-3169
  • 2190-5142
OpenAlex
W1527475029
Cited by
296
References
71
Citations by year
2026: 9 · 2025: 19 · 2024: 20 · 2023: 18 · 2022: 26 · 2021: 23 · 2020: 25 · 2019: 15 · 2018: 15 · 2017: 15 · 2016: 17 · 2015: 19 · 2014: 22 · 2013: 20 · 2012: 12
FWCI
5.00
Type
journal article
Language
en
Open access
Locations
  • Experimental Psychology (formerly Zeitschrift für Experimentelle Psychologie) (publishedVersion)
  • PubMed (publishedVersion)
  • eScholarship (California Digital Library) (submittedVersion)
  • Digital Commons - University of South Florida (University of South Florida) (submittedVersion)
Funders
  • National Science Foundation (0542013, 0720375)
  • U.S. Department of Education
  • Institute of Education Sciences
  • University of California, San Diego
Topics
  • Life Sciences › Neuroscience › Cognitive Neuroscience › Memory Processes and Influences
  • Social Sciences › Psychology › Developmental and Educational Psychology › Second Language Acquisition and Learning
  • Social Sciences › Psychology › Experimental and Cognitive Psychology › Visual and Cognitive Learning Processes
Keywords
distributed practice, spacing effect, retention, foreign words, factual memory, object naming, long-term recall
MeSH terms
Attention, Humans, Memory, Short-Term, Paired-Associate Learning, Pattern Recognition, Visual, Practice, Psychological, Reading, Retention, Psychology, Speech Perception, Vocabulary, Multilingualism, Feedback, Psychological

About these checks

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.

Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-09-28.

Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-09-28.

Cited sources are checked by gpt-6-sol.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

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