A Bayesian meta-analysis for reviewing effect sizes

HIROSHI WATANABE

doi:10.4992/psycholres1954.35.153

効果量を展望するためのベイズ流メタ分析

渡部洋

著者情報

ジャーナルフリー

1993 年 35 巻 3 号 p. 153-156

DOI https://doi.org/10.4992/psycholres1954.35.153

詳細

発行日: 1993/11/25 受付日: 1992/09/28 J-STAGE公開日: 2009/02/24 受理日: 1993/05/08 早期公開日: - 改訂日: -
訂正情報
訂正日: 2009/02/24 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : Backman, M. E. 1972 Patterns in mental abilities: Ethnic, socioeconomic, and sex differences. American Educational Research journal, 9, 1-12.
Bayley, N., & Oden, M. 1955 The maintenance of intellectual ability in gifted adults. Journal of Gerontology, 10, 91-107.
Bieri, J., Bradburn, W., & Galinsky, M. 1958 Sex differences in perceptual behavior. Journal of Personality, 26, 1-12.
Blum, J. E., Fosshage, J. L., & Jarvik, L. F. 1972 Intellectual changes and sex differences in octogenarians: A twenty-year longitudinal study of aging. Developmental Psychology, 7, 178-187.
Box, G. E. P., & Tiao, C. C. 1973 Bayesian inference in statistical analysis. Reading, MA: AddisonWesley.
Droege, R. C. 1967 Sex differences in aptitude maturation during high school. Journal of Counseling Psychology, 14, 407-411.
Gates, A. I. 1961 Sex differences in reading ability. Elementary School Journal, 61, 431-434.
Hedges, L. V., & Olkin, I. 1985 Statistical methods for meta-analysis. New York: Academic Press.
Hyde, J. S. 1981 How large are cognitive gender differences? A meta-analysis using ω² and δ. American Psychologist, 36, 892-901.
Mendelsohn, G. A., & Griswold, B. B. 1966 Assessed creative potential, vocabulary level, and sex as predictors of the use of incidental cues in verbal problem solving. Journal of Personality and Social Psychology, 4, 423-431.
Very, P. S. 1967 Differential factor structures in mathematical ability. Genetic Psychology Monographs, 75, 169-207.
Walberg, H. J. 1969 Physics, femininity, and creativity. Developmental Psychology, 1, 47-54.
Zellner, A. 1971 An introduction to Bayesian inference in econometrics. New York: John Wiley & Sons.

Right : Backman, M. E. 1972 Patterns in mental abilities: Ethnic, socioeconomic, and sex differences. American Educational Research Journal, 9, 1-12.
Bayley, N., & Oden, M. 1955 The maintenance of intellectual ability in gifted adults. Journal of Gerontology, 10, 91-107.
Bieri, J., Bradburn, W., & Galinsky, M. 1958 Sex differences in perceptual behavior. Journal of Personaliy, 26, 1-12.
Blum, J. E., Fosshage, J. L., & Jarvik, L. F. 1972 Intellectual changes and sex differences in octogenarians: A twenty-year longitudinal study of aging. Developmental Psychology, 7, 178-187.
Box, G. E. P., & Tiao, C. C. 1973 Bayesian inference in statistical analysis. Reading, MA: Addison-Wesley.
Droege, R. C. 1967 Sex differences in aptitude maturation during high school. Journal of Counseling Psychology, 14, 407-411.
Gates, A. I. 1961 Sex differences in reading ability. Elementary School Journal, 61, 431-434.
Hedges, L. V., & Olkin, I. 1985 Statistical methods for meta-analysis. New York: Academic Press.
Hyde, J. S. 1981 How large are cognitive gender differences? A meta-analysis usingω2 andδA. American Psychologist, 36, 892-901.
Mendelsohn, G. A., & Griswold, B.B. 1966 Assessed creative potential, vocabulary level, and sex as predictors of the use of incidental cues in verbal problem solving. Journal of Personality and Social Psychology, 4, 423-431.
Very, P. S. 1967 Differential factor structures in mathematical ability. Genetic Psychology Monographs, 75, 169-207.
Walberg, H. J. 1969 Physics, femininity, and creativity. Developmental Pychology, 1, 47-54.
Zellner, A. 1971 An introduction to Bayesian inference in econometrics. New York: John Wiley& Sons.

訂正日: 2009/02/24 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

訂正日: 2009/02/24 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : Backman, M. E. 1972 Patterns in mental abilities: Ethnic, socioeconomic, and sex differences. American Educational Research Journal, 9, 1-12.
Bayley, N., & Oden, M. 1955 The maintenance of intellectual ability in gifted adults. Journal of Gerontology, 10, 91-107.
Bieri, J., Bradburn, W., & Galinsky, M. 1958 Sex differences in perceptual behavior. Journal of Personaliy, 26, 1-12.
Blum, J. E., Fosshage, J. L., & Jarvik, L. F. 1972 Intellectual changes and sex differences in octogenarians: A twenty-year longitudinal study of aging. Developmental Psychology, 7, 178-187.
Box, G. E. P., & Tiao, C. C. 1973 Bayesian inference in statistical analysis. Reading, MA: Addison-Wesley.
Droege, R. C. 1967 Sex differences in aptitude maturation during high school. Journal of Counseling Psychology, 14, 407-411.
Gates, A. I. 1961 Sex differences in reading ability. Elementary School Journal, 61, 431-434.
Hedges, L. V., & Olkin, I. 1985 Statistical methods for meta-analysis. New York: Academic Press.
Hyde, J. S. 1981 How large are cognitive gender differences? A meta-analysis usingω2 andδA. American Psychologist, 36, 892-901.
Mendelsohn, G. A., & Griswold, B.B. 1966 Assessed creative potential, vocabulary level, and sex as predictors of the use of incidental cues in verbal problem solving. Journal of Personality and Social Psychology, 4, 423-431.
Very, P. S. 1967 Differential factor structures in mathematical ability. Genetic Psychology Monographs, 75, 169-207.
Walberg, H. J. 1969 Physics, femininity, and creativity. Developmental Pychology, 1, 47-54.
Zellner, A. 1971 An introduction to Bayesian inference in econometrics. New York: John Wiley& Sons.

Right : Backman, M. E. 1972 Patterns in mental abilities: Ethnic, socioeconomic, and sex differences. American Educational Research Journal, 9, 1-12.
Bayley, N., & Oden, M. 1955 The maintenance of intellectual ability in gifted adults. Journal of Gerontology, 10, 91-107.
Bieri, J., Bradburn, W., & Galinsky, M. 1958 Sex differences in perceptual behavior. Journal of Personality, 26, 1-12.
Blum, J. E., Fosshage, J. L., & Jarvik, L. F. 1972 Intellectual changes and sex differences in octogenarians: A twenty-year longitudinal study of aging. Developmental Psychology, 7, 178-187.
Box, G. E. P., & Tiao, C. C. 1973 Bayesian inference in statistical analysis. Reading, MA: Addison-Wesley.
Droege, R. C. 1967 Sex differences in aptitude maturation during high school. Journal of Counseling Psychology, 14, 407-411.
Gates, A. I. 1961 Sex differences in reading ability. Elementary School Journal, 61, 431-434.
Hedges, L. V., & Olkin, I. 1985 Statistical methods for meta-analysis. New York: Academic Press.
Hyde, J. S. 1981 How large are cognitive gender differences? A meta-analysis using ω2 and δ A. American Psychologist, 36, 892-901.
Mendelsohn, G. A., & Griswold, B. B. 1966 Assessed creative potential, vocabulary level, and sex as predictors of the use of incidental cues in verbal problem solving. Journal of Personality and Social Psychology, 4, 423-431.
Very, P. S. 1967 Differential factor structures in mathematical ability. Genetic Psychology Monographs, 75, 169-207.
Walberg, H. J. 1969 Physics, femininity, and creativity. Developmental Psychology, 1, 47-54.
Zellner, A. 1971 An introduction to Bayesian inference in econometrics. New York: John Wiley & Sons.

抄録

Research reviewers must often assess whether empirical data obtained by a series of psychological studies support the conclusion that an experimental effect is meaningful or not. Recently, several quantitative methods have been developed in order to statistically combine and integrate the evidences across studies. In other words, meta-analysis is an analysis of the results of statistical analysis, and is usually performed on the summary statistics such as sample means, variances, and correlation coefficients reported by many previous studies. In this paper, a Bayesian approach is presented in order to statistically review a series of psychological studies and draw a conclusion based on effect sizes against the conflicting psychological hypotheses.

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