Abstract
Meta-analysis is concerned with methods for combining evidences from seemingly different sources—but with the same goal. One simple example is derived from the context of measurement of pollution in a waterbody. Suppose several water samples have been randomly taken from the waterbody and sent to different laboratories for carrying out laboratory analyses.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences and Suggested Readings
Chiou, W.-J., & Cohen, A. (1984). On estimating a common multivariate normal mean vector. Annals of the Institute of Statistical Mathematics, 37, 499–506.
Cochran, W. G. (1937). Problems arising in the analysis of a series of similar experiments. Supplement to Journal of the Royal Statistical Society, 4, 102–118.
Cochran, W. G., & Carroll, S. P. (1953). A sampling investigation of the efficiency of weighting inversely as the estimated variance. Biometrics, 9, 447–459.
Graybill, F. A., & Deal, R. B. (1959). Combining unbiased estimators. Biometrics, 15, 543–550.
Khatri, C. G., & Shah, K. R. (1974). Estimation of location parameters from two linear models under normality. Communications in Statistics, 3, 647–663.
Krishnamoorthy, K. & Moore, B. C. (2002). Combining information for prediction in linear regression. Metrika, 56, 73–81.
Loh, L. W. (1991). Estimating the common mean of two multivariate normal distributions. The Annals of Statistics, 19, 297–313.
Meier, P. (1953). Variance of the weighted mean. Biometrics, 9, 59–73.
Norwood, T. E., & Hinkelmann, K, Jr. (1977). Estimating the common mean of several normal populations. The Annals of Statistics, 5, 1047–1050.
Rao, J. N. K., & Subrahmaniam, K. (1971). Combining independent estimators and estimation in linear regression with unequal variances. Biometrics, 27, 971–990.
Shinozaki, N. (1978). A note on estimating the common mean of k normal distributions and the stein problem. Communications in Statistics- Theory and Method, 7, 1421–1432.
Sinha, Bimal K. (1985). Unbiased estimation of the variance of the Graybill–Deal estimator of the common mean of several normal populations. The Canadian Journal of Statistics, 13, 243–247.
Zacks, S. (1966). Unbiased estimation of the common mean. Journal of the American Statistical Association, 61, 467–476.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Mukherjee, S.P., Sinha, B.K., Chattopadhyay , A. (2018). Meta-Analysis. In: Statistical Methods in Social Science Research. Springer, Singapore. https://doi.org/10.1007/978-981-13-2146-7_7
Download citation
DOI: https://doi.org/10.1007/978-981-13-2146-7_7
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-2145-0
Online ISBN: 978-981-13-2146-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)