The contribution of schooling to learning gains of pupils in Years 1 to 6
Open accessAbstract
By means of a regression-discontinuity approach with multiple cut-off points, the effects of age and schooling on learning gains in English primary schools are estimated. The analyses relate to over 3,500 pupils in 20, predominantly independently funded, schools and focus on 4 different learning outcomes. In order to take into account delayed and accelerated school careers, an intention-to-treat analysis was applied. The findings reveal substantial effects of schooling, which in line with previous studies in English primary education account for about 40% of the total learning gains. The year-to-year gains show a declining trend as the school career progresses. The analyses produce evidence for both decreasing effects of schooling on achievement and a weakening age‒achievement relationship in the higher years of primary education.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
During elementary school, yearly growth in reading comprehension is estimated at 0.32 (ranging from 0.55 in grade 1 to 0.08 in grade 6).
“During elementary school, it is estimated that yearly growth in reading comprehension is 0.32 (ranging from 0.55 in grade 1, to 0.08 in grade 6) (Luyten, Merrel, & Tymms, 2017).”
From Don't throw away your printed books: A meta-analysis on the effects of reading media on reading comprehension (2018) · cites this paper as Luyten, Merrel, & Tymms, 2017
The Discussion (p. 20) reports a cumulative schooling effect of 1.62 standard deviations for Reading across Years 1–6, equivalent to about 0.32 across the five year-to-year transitions. The paper describes the larger early and smaller late Reading effects (pp. 16–17), consistent with the cited range. But these are estimates of the contribution of schooling, not total yearly growth in reading, as the citing sentence implies; the paper explicitly distinguishes the two (p. 20). (LLM, conf=0.89)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Statistical Power Analysis for the Behavioral Sciences
Muller, K. E., & Cohen, J. (1989) · Technometrics · doi:10.2307/1270020 · Cited by 99,588 · see citing works
Statistical Power Analysis for the Behavioral Sciences (2nd ed.).
Lachenbruch, P. A., & Cohen, J. (1989) · Journal of the American Statistical Association · doi:10.2307/2290095 · Cited by 37,385 · see citing works
Reproduction in Education, Society and Culture
Erben, M., Bourdıeu, P., & Passeron, J.-C. (1979) · British Journal of Sociology · doi:10.2307/589547 · Cited by 8,157 · see citing works
Visible learning: a synthesis of over 800 meta‐analyses relating to achievement
Carter, M. (2009) · Educational Psychology · doi:10.1080/01443410903415150 · Cited by 7,696 · see citing works
(2008) · Cited by 6,939 · see citing works
Reproduction in Education, Society and Culture
Broadfoot, T. (1978) · Comparative Education · doi:10.1080/0305006780140109 · Cited by 6,685 · see citing works
Regression discontinuity designs: A guide to practice
Imbens, G. W., & Lemieux, T. (2007) · Journal of Econometrics · doi:10.1016/j.jeconom.2007.05.001 · Cited by 3,701 · see citing works
Sufficient Sample Sizes for Multilevel Modeling
Maas, C. J. M., & Hox, J. J. (2005) · Methodology · doi:10.1027/1614-2241.1.3.86 · Cited by 3,582 · see citing works
Equality of Educational Opportunity.
Sewell, W. H., Coleman, J. S., Campbell, E. Q., Hobson, C. J., McPartland, J. C., Mood, A. M., Weinfeld, F. D., & York, R. L. (1967) · American Sociological Review · doi:10.2307/2091094 · Cited by 2,753 · see citing works
Angrist, J. D., & Krueger, A. B. (2001) · Journal of Economic Perspectives · doi:10.1257/jep.15.4.69 · Cited by 2,355 · see citing works
What is meant by intention to treat analysis? Survey of published randomised controlled trials
Hollis, S., & Campbell, F. (1999) · BMJ · doi:10.1136/bmj.319.7211.670 · Cited by 2,160 · see citing works
The foundations of educational effectiveness
Scheerens, J., & Bosker, R. (1998) · Choice Reviews Online · doi:10.5860/choice.35-2851 · Cited by 1,190 · see citing works
Are Schools the Great Equalizer? Cognitive Inequality during the Summer Months and the School Year
Downey, D. B., von Hippel, P. T., & Broh, B. A. (2004) · American Sociological Review · doi:10.1177/000312240406900501 · Cited by 853 · see citing works
Ceci, S. J. (1991) · Developmental Psychology · doi:10.1037/0012-1649.27.5.703 · Cited by 837 · see citing works
Lasting Consequences of the Summer Learning Gap
Alexander, K. L., Entwisle, D. R., & Olson, L. S. (2007) · American Sociological Review · doi:10.1177/000312240707200202 · Cited by 763 · see citing works
Bloom, H. S., Hill, C. J., Black, A. R., & Lipsey, M. W. (2008) · Journal of Research on Educational Effectiveness · doi:10.1080/19345740802400072 · Cited by 477 · see citing works
Educational effectiveness research (EER): a state-of-the-art review
Reynolds, D., Sammons, P., Fraine, B. D., Damme, J. V., Townsend, T., Teddlie, C. B., & Stringfield, S. (2014) · School Effectiveness and School Improvement · doi:10.1080/09243453.2014.885450 · Cited by 474 · see citing works
(2012) · TigerPrints (Clemson University) · Cited by 402 · see citing works
The effect of changes in published secondary school admissions on pupil composition
Allen, R., Coldron, J., & West, A. (2011) · Journal of Education Policy · doi:10.1080/02680939.2011.604137 · Cited by 375 · see citing works
von Hippel, P. T., Powell, B., Downey, D. B., & Rowland, N. J. (2007) · American Journal of Public Health · doi:10.2105/ajph.2005.080754 · Cited by 325 · see citing works
Why High-order Polynomials Should not be Used in Regression Discontinuity Designs
Gelman, A., & Imbens, G. W. (2014) · National Bureau of Economic Research · doi:10.3386/w20405 · Cited by 299 · see citing works
Promoting School Readiness in Oklahoma
Gormley, W. T., & Gayer, T. (2005) · The Journal of Human Resources · doi:10.3368/jhr.xl.3.533 · Cited by 286 · see citing works
Age versus Schooling Effects on Intelligence Development
Cahan, S., & Cohen, N. (1989) · Child Development · doi:10.2307/1130797 · Cited by 285 · see citing works
Methodological Advances in Educational Effectiveness Research
Creemers, B., Kyriakides, L. E., & Sammons, P. (2010) · Routledge eBooks · doi:10.4324/9780203851005 · Cited by 242 · see citing works
Schooling and the Armed Forces Qualifying Test
Cascio, E., & Lewis, E. (2006) · The Journal of Human Resources · doi:10.3368/jhr.xli.2.294 · Cited by 166 · see citing works
Age and schooling effects on emergent literacy and early reading skills.
Crone, D. A., & Whitehurst, G. J. “. (1999) · Journal of Educational Psychology · doi:10.1037/0022-0663.91.4.604 · Cited by 135 · see citing works
Luyten, H. (2006) · Oxford Review of Education · doi:10.1080/03054980600776589 · Cited by 105 · see citing works
Self-citationStrand, S. (1999) · British Educational Research Journal · doi:10.1080/0141192990250204 · Cited by 98 · see citing works
Cohort effects in cognitive development of children as revealed by cross-sectional sequences.
Baltes, P. B., & Reinert, G. (1969) · Developmental Psychology · doi:10.1037/h0026997 · Cited by 89 · see citing works
Stelzl, I., Merz, F., Ehlers, T., & Remer, H. (1995) · Intelligence · doi:10.1016/0160-2896(95)90018-7 · Cited by 78 · see citing works
Cahan, S., & Davis, D. (1987) · American Educational Research Journal · doi:10.3102/00028312024001001 · Cited by 77 · see citing works
Grade Retention during Compulsory Education in Europe: Regulations and Statistics.
Borodankova, O., & Coutinho, A. S. D. A. (2011) · Cited by 69 · see citing works
Gelman, A., & Imbens, G. W. (2014) · National Bureau of Economic Research · Cited by 47 · see citing works
Kyriakidēs, L., & Luyten, H. (2009) · School Effectiveness and School Improvement · doi:10.1080/09243450902883870 · Cited by 45 · see citing works
Self-citationCelebration of the success of distributed research with schools: the cem centre, Durham
Tymms, P. B., & Coe, R. (2003) · British Educational Research Journal · doi:10.1080/0141192032000133686 · Cited by 41 · see citing works
Self-citationIdentifying reading problems with computer‐adaptive assessments
Merrell, C. H., & Tymms, P. B. (2007) · Journal of Computer Assisted Learning · doi:10.1111/j.1365-2729.2007.00196.x · Cited by 36 · see citing works
Self-citationCliffordson, C. (2010) · Educational Research and Evaluation · doi:10.1080/13803611003694391 · Cited by 33 · see citing works
Luyten, H., & Veldkamp, B. P. (2011) · Journal of Research on Educational Effectiveness · doi:10.1080/19345747.2010.519825 · Cited by 17 · see citing works
Self-citationJabr, D., & Cahan, S. (2014) · School Effectiveness and School Improvement · doi:10.1080/09243453.2014.944546 · Cited by 9 · see citing works
Changes in student populations and average test scores of Dutch primary schools
Luyten, H., & de Wolf, I. (2011) · School Effectiveness and School Improvement · doi:10.1080/09243453.2011.591614 · Cited by 7 · see citing works
Self-citationLuyten, H. (2015) · Elsevier eBooks · doi:10.1016/b978-0-08-097086-8.92128-7 · Cited by 1 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 1
- Maas, C. J. M., & Hox, J. J. (2005). Su ffi cient sample size for multilevel modeling. Methodology , 1 , 86 -92. doi:10.1027/1614-1881.1.3.86 · DOI
Cited by
Sorted by citations
Interpreting effect sizes of education interventions
Kraft, M. A. (2020) · Educational Researcher · doi:10.3102/0013189x20912798 · Cited by 1,281 · see citing works
Delgado, P., Vargas, C., Ackerman, R., & Salmerón, L. (2018) · Educational Research Review · doi:10.1016/j.edurev.2018.09.003 · Cited by 664 · see citing works
Delgado, P., & Salmerón, L. (2020) · Learning and Instruction · doi:10.1016/j.learninstruc.2020.101396 · Cited by 157 · see citing works
Translating standardized effects of education programs into more interpretable metrics
Baird, M. D., & Pane, J. F. (2019) · Educational Researcher · doi:10.3102/0013189x19848729 · Cited by 69 · see citing works
Neitzel, A. J., Wolf, B., Guo, X., Shakarchi, A. F., Madden, N. A., Repka, M. X., Friedman, D. S., & Collins, M. E. (2021) · JAMA Ophthalmology · doi:10.1001/jamaophthalmol.2021.3544 · Cited by 60 · see citing works
The relationship between mind wandering and reading comprehension: A meta-analysis
Bonifacci, P., Viroli, C., Vassura, C., Colombini, E., & Desideri, L. (2022) · Psychonomic Bulletin & Review · doi:10.3758/s13423-022-02141-w · Cited by 63 · see citing works
Student engagement in inclusive classrooms
Rangvid, B. S. (2018) · Education Economics · doi:10.1080/09645292.2018.1426733 · Cited by 39 · see citing works
Listening Ears or Reading Eyes: A Meta-Analysis of Reading and Listening Comprehension Comparisons
Clinton‐Lisell, V. (2021) · Review of Educational Research · doi:10.3102/00346543211060871 · Cited by 43 · see citing works
Nilsen, T., Kaarstein, H., & Lehre, A. (2022) · Large-scale Assessments in Education · doi:10.1186/s40536-022-00134-8 · Cited by 42 · see citing works
Reading to learn? The co-development of mathematics and reading during primary school
Hübner, N., Merrell, C. H., Cramman, H., Little, J. B., Bolden, D. S., & Nagengast, B. (2022) · Child Development · doi:10.1111/cdev.13817 · Cited by 23 · see citing works
Self-citationPaquin, C., Côté, S. M., Tremblay, R. E., Séguin, J. R., Boivin, M., & Herba, C. M. (2020) · PLoS ONE · doi:10.1371/journal.pone.0227179 · Cited by 21 · see citing works
Scheerens, J. (2017) · Educational Research and Evaluation · doi:10.1080/13803611.2017.1455286 · Cited by 15 · see citing works
Equal opportunities for all? Analyzing within-country variation in school effectiveness
Steinmann, I., & Olsen, R. V. (2022) · Large-scale Assessments in Education · doi:10.1186/s40536-022-00120-0 · Cited by 14 · see citing works
Fødselsmåned og skoleprestasjoner
Olsen, R. V., & Björnsson, J. K. (2018) · doi:10.18261/9788215030067-2018-05 · Cited by 13 · see citing works
Nachbauer, M. (2023) · Waxmann Verlag GmbH eBooks · doi:10.31244/9783830997320 · Cited by 12 · see citing works
Luyten, H., Merrell, C. H., & Tymms, P. B. (2020) · Studies In Educational Evaluation · doi:10.1016/j.stueduc.2020.100939 · Cited by 8 · see citing works
Self-citationLudewig, U., Strietholt, R., & McElvany, N. (2025) · Learning and Instruction · doi:10.1016/j.learninstruc.2025.102150 · Cited by 5 · see citing works
Translating Standardized Effects of Education Programs into More Interpretable Metrics
Baird, M., & Pane, J. F. (2018) · RAND Corporation eBooks · doi:10.7249/wr1226 · Cited by 5 · see citing works
A critical evaluation of regression discontinuity studies in school effectiveness research
Simpson, A. P. (2024) · International Journal of Research & Method in Education · doi:10.1080/1743727x.2024.2412730 · Cited by 4 · see citing works
Tjue år med TIMSS og PISA i Norge
Bergem, O. K., Björnsson, J. K., Blömeke, S., Hatlevik, O. E., Jensen, F., Kaarstein, H., Kjærnsli, M., Mork, S. M., Nilsen, T., Olsen, R. V., et al. (2018) · Universitetsforlaget eBooks · doi:10.18261/9788215030067-2018 · Cited by 12 · see citing works
Reading to Learn? The Co-Development of Mathematics and Reading During Primary SchoolPreprint
Hübner, N., Merrell, C. H., Cramman, H., Little, J., Bolden, D. S., & Nagengast, B. (2021) · doi:10.31219/osf.io/v8h29 · Cited by 2 · see citing works
Self-citationŠkopek, J., Triventi, M., & Passaretta, G. (2024) · doi:10.31235/osf.io/4f6cq · Cited by 2 · see citing works
Lessons for addressing educational disadvantage from a range of studies
Gorard, S. A. C., Siddiqui, N., & See, B. H. (2023) · Cogent Education · doi:10.1080/2331186x.2023.2262258 · Cited by 1 · see citing works
Hukkelberg, S. S., Steinmann, I., & Nærde, A. (2025) · Scandinavian Journal of Educational Research · doi:10.1080/00313831.2025.2459402 · Cited by 1 · see citing works
Kyriakides, L. E., Charalambous, E., & Michael, D. (2026) · School Effectiveness and School Improvement · doi:10.1080/09243453.2026.2654518 · Cited by 1 · see citing works
Rindermann, H. (2024) · Discover Education · doi:10.1007/s44217-024-00135-5 · Cited by 1 · see citing works
RetractedSelvakumar, P., Babitha, B. S., Varalakshmi, S., Mishra, B. R., Bhaskar, P., & Manjunath, T. C. (2025) · IGI Global eBooks · doi:10.4018/979-8-3693-8623-1.ch008
Amplified Educational Inequality. School Exposure and Learning by Student BackgroundPreprint
Stienstra, K., & van de Werfhorst, H. G. (2025) · doi:10.31235/osf.io/upzjh_v1
Is ‘good enough’ good enough for causal arguments?
Simpson, A. P. (2025) · International Journal of Research & Method in Education · doi:10.1080/1743727x.2025.2557826
- Authors
- Luyten, H., Merrell, C., & Tymms, P.
- Affiliations
- University of Twente (NL)
- Durham University (GB)
- Corresponding author
- Luyten, Hans
- Venue
- School Effectiveness and School Improvement
- Publisher
- Informa UK Limited
- Published
- 2017-02-28
- Volume
- 28
- Issue
- 3
- Pages
- 374-405
- ISSN
- 0924-3453 (ISSN-L)
- 1744-5124
- OpenAlex
- W2592779450
- Cited by
- 29
- References
- 40
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 3 · 2023: 2 · 2022: 4 · 2021: 3 · 2020: 4 · 2019: 1 · 2018: 5 · 2017: 1
- FWCI
- 10.73
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- School Effectiveness and School Improvement (publishedVersion, cc-by-nc-nd)
- Durham Research Online (Durham University) (acceptedVersion, other-oa)
- Durham Research Online (Durham University) (submittedVersion, cc-by-nc-nd)
- University of Twente Research Information (submittedVersion, other-oa)
- Topics
- Social Sciences › Education › School Choice and Performance
- Social Sciences › Education › Early Childhood Education and Development
- Social Sciences › Decision Sciences › Information Systems and Management › Educational Assessment and Improvement
- Keywords
- learning gains, schooling effects, primary education, independent schools, academic performance, early years of schooling
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.
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 ›
Are you an author, or do you see a problem with this page? Request a review