Multivariate meta-analysis: contributions of Ingram Olkin.

*(English)*Zbl 1246.01018Summary: The research on meta-analysis and particularly multivariate meta-analysis has been greatly influenced by the work of Ingram Olkin. This paper documents Olkin’s contributions by way of citation counts and outlines several areas of contribution by Olkin and his academic descendants. An academic family tree is provided.

##### MSC:

01A70 | Biographies, obituaries, personalia, bibliographies |

01A60 | History of mathematics in the 20th century |

62-03 | History of statistics |

##### Software:

metaSEM**OpenURL**

##### References:

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[2] | Arends, L. R., Vok\vo, Z. and Stijnen, T. (2003). Combining multiple outcome measures in a meta-analysis: An application. Statistics in Medicine 22 1335–1353. |

[3] | Becker, B. J. (1985). Applying tests of combined significance: Hypotheses and power considerations. Ph.D. dissertation, Univ. Chicago. |

[4] | Becker, B. J. (1992). Using results from replicated studies to estimate linear models. J. Educational Statistics 17 341–362. |

[5] | Becker, B. J. (1995). Correction to “Using results from replicated studies to estimate linear models.” J. Educational and Behavioral Statistics 20 100–102. |

[6] | Becker, B. J. (2000). Multivariate meta-analysis. In Handbook of Applied Multivariate Statistics and Mathematical Modeling (H. E. A. Tinsley and S. D. Brown, eds.) 499–525. Academic Press, San Diego, CA. |

[7] | Becker, B. J. and Fahrbach, K. (1994). A comparison of approaches to the synthesis of correlation matrices. Paper presented at the annual meeting of the American Educational Research Association, New Orleans, LA. |

[8] | Becker, B. J. and Schram, C. M. (1994). Examining explanatory models through research synthesis. In The Handbook of Research Synthesis (H. M. Cooper and L. V. Hedges, eds.) 357–381. Russell Sage Foundation, New York. |

[9] | Becker, G. (1996). The meta-analysis of factor analyses: An illustration based on the cumulation of correlation matrices. Psychological Methods 1 341–353. |

[10] | Champney, T. F. (1983). Adjustments for selection/publication bias in quantitative research. Ph.D. dissertation, Univ. Chicago. |

[11] | Chang, L. (1992). A power analysis of the test of homogeneity in effect-size meta-analysis. Ph.D. dissertation, Michigan State Univ. |

[12] | Cheung, M. W. L. and Chan, W. (2005). Meta-analytic structural equation modeling: A two-stage approach. Psychological Methods 10 40–64. |

[13] | Chiu, C. W.-T. (1999). Scoring performance assessments based on judgements: Utilizing meta-analysis to estimate variance components in generalizability theory for unbalanced situations. Ph.D. dissertation, Michigan State Univ. |

[14] | Cho, J. M. (2000). Hypotheses and limiting distributions for p-value summaries to compare studies in meta-analysis. Ph.D. dissertation, Michigan State Univ. |

[15] | Cook, S. R. (2004). A note on testing for homogeneity among effect sizes sharing a common control group. Psychological Methods 9 446–452. |

[16] | Fahrbach, K. R. (2001). An investigation of methods for mixed-model meta-analysis in the presence of missing data. Ph.D. dissertation, Michigan State Univ. |

[17] | Friedman, L. (1989). Mathematics and the gender gap: A meta-analysis of recent studies on sex differences in mathematical tasks. Review of Educational Research 59 185–213. |

[18] | Friedman, L. (2000). Estimators of random effects variance components in meta-analysis. J. Educational and Behavioral Statistics 25 1–12. |

[19] | Furlow, C. F. and Beretvas, S. N. (2005). Meta-analytic methods of pooling correlation matrices for structural equation modeling under different patterns of missing data. Psychological Methods 10 227–254. |

[20] | Glass, G. V. (1976). Primary, secondary, and meta-analysis of research. Educational Researcher 5 3–8. |

[21] | Gleser, L. J. and Olkin, I. (1994). Stochastically dependent effect sizes. In The Handbook of Research Synthesis (H. M. Cooper and L. V. Hedges, eds.) 339–355. Russell Sage Foundation, New York. |

[22] | Gleser, L. J. and Olkin, I. (1996). Models for estimating the number of unpublished studies. Statistics in Medicine 15 2493–2507. |

[23] | Gleser, L. J. and Olkin, I. (2000). Meta-analysis for \(2 \times 2\) tables with multiple treatment groups. In Meta-Analysis in Medicine and Health Policy (D. A. Berry and D. K. Stangl, eds.) 339–355. Dekker, New York. |

[24] | Hafdahl, A. R. (2001). Multivariate meta-analysis for exploratory factor analytic research. Ph.D. dissertation, Univ. North Carolina at Chapel Hill. |

[25] | Hedges, L. V. (1980). Combining the results of experiments using different scales of measurement. Ph.D. dissertation, Stanford Univ. |

[26] | Hedges, L. V. and Olkin, I. (1980). Vote-counting methods in research synthesis. Psychological Bulletin 88 359–369. |

[27] | Hedges, L. V. and Olkin, I. (1985). Statistical Methods for Meta-Analysis . Academic Press, Orlando, FL. · Zbl 0666.62002 |

[28] | Hedges, L. V. and Vevea, J. L. (1996). Estimating effect size under publication bias: Small sample properties and robustness of a random effects selection model. J. Educational and Behavioral Statistics 21 299–332. |

[29] | Hedges, L. V. and Vevea, J. L. (1998). Fixed- and random-effects models in meta-analysis. Psychological Methods 3 486–504. |

[30] | Holmgren, E. B. (1989). Utilizing p–p plots in meta-analysis as general measures of treatment effects. Ph.D. dissertation, Stanford Univ. |

[31] | Konstantopoulos, S. (2003). Variance components estimation in meta-analysis employing maximum likelihood methods. Ph.D. dissertation, Univ. Chicago. |

[32] | Koziol, J. A. and Perlman, M. D. (1978). Combining independent chi-squared tests. J. Amer. Statist. Assoc. 73 753–763. · Zbl 0394.62019 |

[33] | Nam, I. S., Mengersen, K. and Garthwaite, P. (2003). Multivariate meta-analysis. Statistics in Medicine 22 2309–2333. |

[34] | Olkin, I. and Finn, J. D. (1976). Correlations redux. Psychological Bulletin 118 155–164. |

[35] | Olkin, I. and Finn, J. D. (1990). Testing correlated correlations. Psychological Bulletin 108 330–333. |

[36] | Olkin, I. and Sampson, A. (1998). Comparison of meta-analysis versus analysis of variance of individual patient data. Biometrics 54 317–322. JSTOR: · Zbl 1058.62641 |

[37] | Olkin, I. and Saner, H. (2001). Approximations for trimmed Fisher procedures in research synthesis. Statistical Methods in Medical Research 10 267–276. · Zbl 1121.62648 |

[38] | Olkin, I. and Siotani, M. (1976). Asymptotic distribution of functions of a correlation matrix. In Essays in Probability and Statistics Chapter 16 (S. Ikeda, ed.) 235–251. Shinko Tsusho, Tokyo. · Zbl 0369.62056 |

[39] | Pearson, K. (1904). Report on certain enteric fever inoculations. British Medical Journal 2 1243–1246. |

[40] | Pigott, T. D. (1992). The application of normal maximum likelihood methods to missing data in meta-analysis. Ph.D. dissertation, Univ. Chicago. |

[41] | Raudenbush, S. W., Becker, B. J. and Kalaian, H. (1988). Modeling multivariate effect sizes. Psychological Bulletin 103 111–120. |

[42] | Schmidt, F., Hunter, J. E. and Outerbridge, A. N. (1986). Impact of job experience and ability on job knowledge, work sample performance and supervisory ratings of job performance. J. Applied Psychology 71 432–439. |

[43] | Schram, C. M. (1996). A comparison of methods for correcting multivariate data for attenuation with application to synthesizing correlation matrices. Ph.D. dissertation, Michigan State Univ. |

[44] | Sezer, A. (2006). Reporting uncertainty by spline function approximation of log-likelihood. Ph.D. dissertation, Univ. Pittsburgh. |

[45] | Sylvester, M. A., II. (2001). Estimation of a common mean through a series of similar interlaboratory experiments. Ph.D. dissertation, Univ. Pittsburgh. |

[46] | van Houwelingen, H. C., Arends, L. R. and Stijnen, T. (2002). Tutorial in biostatistics. Advanced methods in meta-analysis: Multivariate approach and meta-regression. Statistics in Medicine 21 589–624. |

[47] | Vevea, J. L. and Woods, C. M. (2005). Publication bias in research synthesis: Sensitivity analysis using a priori weight functions. Psychological Methods 10 428–443. |

[48] | Woods, C. M., Vevea, J. L., Chambless, D. L. and Bayen, U. J. (2002). Are compulsive checkers impaired in memory? A meta-analytic review. Clinical Psychology : Science and Practice 9 353–366. |

[49] | Wu, M. J. (2006). Methods of meta-analyzing regression studies: Applications of generalized least squares and factored likelihoods. Ph.D. dissertation, Michigan State Univ. |

[50] | Yen, J. H. (1997). Robust estimation of effect sizes in meta-analysis. Ph.D. dissertation, Stanford Univ. |

[51] | Zhang, J. (1993). Statistical significance publication bias, its determination and statistical adjustments in meta-analysis. Ph.D. dissertation, Univ. Chicago. |

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