References

Aguinis, Herman, Charles A Pierce, and Steven A Culpepper. 2009. “Scale Coarseness as a Methodological Artifact,” September.
Bangert-Drowns, Robert L, Marlene M Hurley, and Barbara Wilkinson. 2004. “The Effects of School-Based Writing-to-Learn Interventions on Academic Achievement: A Meta-Analysis.” Review of Educational Research 74 (1): 29–58. https://doi.org/10.3102/00346543074001029.
Barraza, Felipe, Marcelo Arancibia, Eva Madrid, and Cristian Papuzinski. 2019. “General Concepts in Biostatistics and Clinical Epidemiology: Random Error and Systematic Error.” Medwave 19 (7): e7687. https://doi.org/10.5867/medwave.2019.07.7687.
Bobko, Philip, and Angela Rieck. 1980. “Large Sample Estimators for Standard Errors of Functions of Correlation Coefficients.” Applied Psychological Measurement 4 (3): 385–98. https://doi.org/10.1177/014662168000400309.
Bonett, Douglas G. 2008. “Meta-Analytic Interval Estimation for Bivariate Correlations.” Psychological Methods 13 (3): 173–81. https://doi.org/10.1037/a0012868.
Bonett, Douglas G., and Robert M. Price. 2005. “Inferential Methods for the Tetrachoric Correlation Coefficient.” Journal of Educational and Behavioral Statistics 30 (2): 213–25. https://www.jstor.org/stable/3701350.
Borenstein, Michael, Larry V. Hedges, Julian P. T. Higgins, and Hannah R. Rothstein. 2010. “A Basic Introduction to Fixed-Effect and Random-Effects Models for Meta-Analysis.” Research Synthesis Methods 1 (2): 97–111. https://doi.org/10.1002/jrsm.12.
Brannick, Michael T., Sean M. Potter, Bryan Benitez, and Scott B. Morris. 2019. “Bias and Precision of Alternate Estimators in Meta-Analysis: Benefits of Blending Schmidt-Hunter and Hedges Approaches.” Organizational Research Methods 22 (2): 490–514. https://doi.org/10.1177/1094428117741966.
Brown, William. 1910. “Some Experimental Results in the Correlation of Mental Abilities1.” British Journal of Psychology, 1904-1920 3 (3): 296–322. https://doi.org/10.1111/j.2044-8295.1910.tb00207.x.
Callender, John C., and H. G. Osburn. 1980. “Development and Test of a New Model for Validity Generalization.” Journal of Applied Psychology 65 (5): 543–58. https://doi.org/10.1037/0021-9010.65.5.543.
Cohen, Jacob. 1988. Statistical Power Analysis for the Behavioral Sciences. Academic Press.
———. 2013. Statistical Power Analysis for the Behavioral Sciences. Academic Press.
Cooper, Harris M., Larry V. Hedges, and Jeff C. Valentine, eds. 2009. The Handbook of Research Synthesis and Meta-Analysis. 2nd ed. New York: Russell Sage Foundation.
Cox, D. R. 1989. Analysis of Binary Data. 2nd ed. New York: Routledge. https://doi.org/10.1201/9781315137391.
Cronbach, Lee J. 1951. “Coefficient Alpha and the Internal Structure of Tests.” Psychometrika 16 (3): 297–334. https://doi.org/10.1007/BF02310555.
Dahlke, Jeffrey A., and Brenton M. Wiernik. 2019. “Psychmeta: An R Package for Psychometric Meta-Analysis.” Applied Psychological Measurement 43 (5): 415–16. https://doi.org/10.1177/0146621618795933.
———. 2020. “Not Restricted to Selection Research: Accounting for Indirect Range Restriction in Organizational Research.” Organizational Research Methods 23 (4): 717–49. https://doi.org/10.1177/1094428119859398.
DerSimonian, Rebecca, and Raghu N. Kacker. 2007. “Random-Effects Model for Meta-Analysis of Clinical Trials: An Update.” NIST 28 (January): 105–14. https://www.nist.gov/publications/random-effects-model-meta-analysis-clinical-trials-update.
Enders, Craig K. 2022. Applied Missing Data Analysis. Guilford Publications.
Gamer, Matthias, Jim Lemon, Ian Fellows, and Puspendra Singh. 2019. Irr: Various Coefficients of Interrater Reliability and Agreement. https://CRAN.R-project.org/package=irr.
Gnambs, Timo. 2023. “A Brief Note on the Standard Error of the Pearson Correlation.” Collabra: Psychology 9 (1): 87615. https://doi.org/10.1525/collabra.87615.
Goldberg, Lewis. 1999. “Public Domain, Personality Inventory Measuring the Lower-Level Facets of Several Five-Factor Models.” Personality Psychology in Europe 7: 7–28. https://cir.nii.ac.jp/crid/1571417125727416704.
Haddock, C. Keith, David Rindskopf, and William R. Shadish. 1998. “Using Odds Ratios as Effect Sizes for Meta-Analysis of Dichotomous Data: A Primer on Methods and Issues.” Psychological Methods 3 (3): 339–53. https://doi.org/10.1037/1082-989X.3.3.339.
Haertel, Edward H. 2006. “3. Reliability.” In, 4th ed.
Hedges, Larry V. 1981. “Distribution Theory for Glass’s Estimator of Effect Size and Related Estimators.” Journal of Educational Statistics 6 (2): 107–28. https://doi.org/10.3102/10769986006002107.
———. 1989. “An Unbiased Correction for Sampling Error in Validity Generalization Studies.” Journal of Applied Psychology 74 (3): 469–77. https://doi.org/10.1037/0021-9010.74.3.469.
Hedges, Larry V., and Ingram Olkin. 2014. Statistical Methods for Meta-Analysis. Academic Press.
Hedges, Larry V., and Jack L. Vevea. 1998. “Fixed- and Random-Effects Models in Meta-Analysis.” Psychological Methods 3 (4): 486–504. https://doi.org/10.1037/1082-989X.3.4.486.
Hunter, John E., and Frank L. Schmidt. 2015. Methods of meta-analysis: correcting error and bias in research findings (third). Third. Thousand Oaks, California: Sage Publications.
Hunter, John E., Frank L. Schmidt, and Huy Le. 2006. “Implications of Direct and Indirect Range Restriction for Meta-Analysis Methods and Findings.” Journal of Applied Psychology 91 (3): 594–612. https://doi.org/10.1037/0021-9010.91.3.594.
Hunter, John, and Frank Schmidt. 1990. “Dichotomization of Continuous Variables: The Implications for Meta-Analysis.” Journal of Applied Psychology 75 (June): 334–49. https://doi.org/10.1037/0021-9010.75.3.334.
Jacobs, Perke, and Wolfgang Viechtbauer. 2017. “Estimation of the Biserial Correlation and Its Sampling Variance for Use in Meta-Analysis.” Research Synthesis Methods 8 (2): 161–80. https://doi.org/10.1002/jrsm.1218.
Johnson, Blair T., Brian Mullen, and Eduardo Salas. 1995. “Comparison of Three Major Meta-Analytic Approaches.” Journal of Applied Psychology 80 (1): 94–106. https://doi.org/10.1037/0021-9010.80.1.94.
Kirk, David B. 1973. “On the Numerical Approximation of the Bivariate Normal (Tetrachoric) Correlation Coefficient.” Psychometrika 38 (2): 259–68. https://doi.org/10.1007/BF02291118.
Kroc, Edward, and Bruno D. Zumbo. 2020. “A Transdisciplinary View of Measurement Error Models and the Variations of x=t+e.” Journal of Mathematical Psychology 98 (September): 102372. https://doi.org/10.1016/j.jmp.2020.102372.
Kroenke, Kurt, Robert L. Spitzer, and Janet B. W. Williams. 2003. “The Patient Health Questionnaire-2: Validity of a Two-Item Depression Screener.” Medical Care 41 (11): 1284–92. https://www.jstor.org/stable/3768417.
Kuder, G. F., and M. W. Richardson. 1937. “The Theory of the Estimation of Test Reliability.” Psychometrika 2 (3): 151–60. https://doi.org/10.1007/BF02288391.
Laird, Nan M., and Frederick Mosteller. 1990. “Some Statistical Methods for Combining Experimental Results.” International Journal of Technology Assessment in Health Care 6 (1): 5–30. https://doi.org/10.1017/S0266462300008916.
Le, Huy, and Frank L. Schmidt. 2006. “Correcting for Indirect Range Restriction in Meta-Analysis: Testing a New Meta-Analytic Procedure.” Psychological Methods 11 (4): 416–38. https://doi.org/10.1037/1082-989X.11.4.416.
MacCallum, Robert C., Shaobo Zhang, Kristopher J. Preacher, and Derek D. Rucker. 2002. “On the Practice of Dichotomization of Quantitative Variables.” Psychological Methods 7: 19–40. https://doi.org/10.1037/1082-989X.7.1.19.
Mayer, Michael. 2023. missRanger: Fast Imputation of Missing Values. https://CRAN.R-project.org/package=missRanger.
Morris, Scott, Rebecca Daisley, Megan Wheeler, and Peggy Boyer. 2014. “A Meta-Analysis of the Relationship Between Individual Assessments and Job Performance.” The Journal of Applied Psychology 100 (May). https://doi.org/10.1037/a0036938.
Mosier, Charles I. 1943. “On the Reliability of a Weighted Composite.” Psychometrika 8 (3): 161–68.
Olkin, Ingram, and John W. Pratt. 1958. “Unbiased Estimation of Certain Correlation Coefficients.” The Annals of Mathematical Statistics 29 (1): 201–11. https://www.jstor.org/stable/2237306.
Pearson, Karl. 1895. “Notes on the History of Correlation.” Society of Biometricians and Mathematical Statisticians. https://doi.org/10.2307/2331722.
———. 1903. “I. Mathematical Contributions to the Theory of Evolution. XI. On the Influence of Natural Selection on the Variability and Correlation of Organs.” Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character 200 (321-330): 1–66. https://doi.org/10.1098/rsta.1903.0001.
Peters, Charles C., and Walter R. Van Voorhis. 1940. “Further Methods of Correlation.” In, 362–403. New York, NY, US: McGraw-Hill Book Company. https://doi.org/10.1037/13596-013.
Revelle, William, Joshua Wilt, and Allen Rosenthal. 2010. “Individual Differences in Cognition: New Methods for Examining the Personality-Cognition Link.” In, edited by Aleksandra Gruszka, Gerald Matthews, and Blazej Szymura, 27–49. New York, NY: Springer. https://doi.org/10.1007/978-1-4419-1210-7_2.
Roth, Bettina. 2015. “Intelligence and School Grades: A Meta-Analysis.”
Rubin, Donald B. 1992. “Meta-Analysis: Literature Synthesis or Effect-Size Surface Estimation?” Journal of Educational Statistics 17 (4): 363–74. https://doi.org/10.3102/10769986017004363.
Rulon, Phillip J. 1939. “A Simplified Procedure for Determining the Reliability of a Test by Split-Halves.” Harvard Educational Review 9 (1): 99–103.
Sackett, Paul R., and Hyuckseung Yang. 2000. “Correction for Range Restriction: An Expanded Typology.” Journal of Applied Psychology 85 (1): 112–18. https://doi.org/10.1037/0021-9010.85.1.112.
Schmidt, Frank, and John Hunter. 1977. “Development of a General Solution to the Problem of Validity Generalization.” Journal of Applied Psychology 62 (October): 529–40. https://doi.org/10.1037/0021-9010.62.5.529.
Soper, H. E. 1914. “On the Probable Error of the Bi-Serial Expression for the Correlation Coefficient.” Biometrika 10 (2/3): 384–90. https://doi.org/10.2307/2331789.
Spearman, C. 1904. “The Proof and Measurement of Association Between Two Things.” International Journal of Epidemiology 39 (5): 1137–50. https://doi.org/10.1093/ije/dyq191.
Spearman, Charles. 1910. “Correlation Calculated from Faulty Data.” British Journal of Psychology 3 (3): 271295. https://www.proquest.com/docview/1293688112/citation/7E133DC1091D4E47PQ/1.
Taboga, Marco. 2021. “Gamma Function.” https://www.statlect.com/mathematical-tools/gamma-function.
Taylor, Erwin K., and Thomas Griess. 1976. “The Missing Middle in Validation Research.” Personnel Psychology 29 (1): 5–11. https://doi.org/10.1111/j.1744-6570.1976.tb00397.x.
Van Buuren, Stef. 2018. Flexible Imputation of Missing Data. CRC press.
Viechtbauer, Wolfgang. 2010. “Conducting meta-analyses in R with the metafor package.” Journal of Statistical Software 36 (3): 1–48. https://doi.org/10.18637/jss.v036.i03.
———. n.d. “Fixed-Effects and Random-Effects Models in Meta-Analysis.” https://wviechtb.github.io/metafor/index.html.
Vos, Paul, and Don Holbert. 2022. “Frequentist Statistical Inference Without Repeated Sampling.” Synthese 200 (2): 89. https://doi.org/10.1007/s11229-022-03560-x.
Wechsler, David. 2008. Wechsler Adult Intelligence Scale–Fourth Edition. 4th ed. https://doi.org/10.1037/t15169-000.
White, Thomas, Daniel Noble, Alistair Senior, W. Kyle Hamilton, and Wolfgang Viechtbauer. 2022. Metadat: Meta-Analysis Datasets. https://CRAN.R-project.org/package=metadat.
Whitener, Ellen M. 1990. “Confusion of Confidence Intervals and Credibility Intervals in Meta-Analysis.” Journal of Applied Psychology 75 (3): 315–21. https://doi.org/10.1037/0021-9010.75.3.315.
Wickham, Hadley, Romain François, Lionel Henry, Kirill Müller, and Davis Vaughan. 2023. Dplyr: A Grammar of Data Manipulation. https://CRAN.R-project.org/package=dplyr.
Wiernik, Brenton M., and Jeffrey A. Dahlke. 2020. “Obtaining Unbiased Results in Meta-Analysis: The Importance of Correcting for Statistical Artifacts.” Advances in Methods and Practices in Psychological Science 3 (1): 94–123. https://doi.org/10.1177/2515245919885611.
William Revelle. 2023. Psych: Procedures for Psychological, Psychometric, and Personality Research. Evanston, Illinois: Northwestern University. https://CRAN.R-project.org/package=psych.
———. 2024. psychTools: Tools to Accompany the ’Psych’ Package for Psychological Research. Evanston, Illinois: Northwestern University. https://CRAN.R-project.org/package=psychTools.
Wylie, Peter B. 1976. “Effects of Coarse Grouping and Skewed Marginal Distributions on the Pearson Product Moment Correlation Coefficient.” Educational and Psychological Measurement 36 (1): 1–7. https://doi.org/10.1177/001316447603600101.
Zimmerman, Donald W. 1975. “Probability Spaces, Hilbert Spaces, and the Axioms of Test Theory.” Psychometrika 40 (3): 395–412. https://doi.org/10.1007/BF02291765.
Zimmerman, Donald W, and Richard H Williams. 1977. “Validity Coefficients and Correlated Errors in Test Theory.” The Journal of Experimental Education 45 (3): 4–9.