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.