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Statistical Power with Group Mean as the Unit of Analysis

Author

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  • Robert S. Barcikowski

Abstract

In 1940 Lindquist presented a discussion of an analysis of variance using the group mean as the unit of analysis. Unfortunately, most modern writers on statistical methodology have ignored this important topic and some of the best text-book book writers make the error of using the individual as the unit of analysis when the group mean would be more appropriate. The reluctance to use group mean as the unit of analysis is due in part to the belief that the resultant drop in the number of observations per treatment greatly reduces the probability of detecting a treatment effect. This concern is put in perspective in this paper and equations are presented to facilitate power estimates when the group mean is the unit of analysis.

Suggested Citation

  • Robert S. Barcikowski, 1981. "Statistical Power with Group Mean as the Unit of Analysis," Journal of Educational and Behavioral Statistics, , vol. 6(3), pages 267-285, September.
    • Handle: RePEc:sae:jedbes:v:6:y:1981:i:3:p:267-285
    DOI: 10.3102/10769986006003267
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    Cited by:

    1. repec:gig:joupla:v:6:y:2014:i:2:p:139-164 is not listed on IDEAS
    2. Vogel, Dominik, 2018. "Vogel (2018): Matching survey responses with anonymity in environments with privacy concerns: A practical guide," SocArXiv nwjd7, Center for Open Science.
    3. Schenk, Tom, Jr., 2007. "The effects of graduate-student unionization," ISU General Staff Papers 2007010108000015881, Iowa State University, Department of Economics.
    4. Jean-Luc Arregle & Louis Hébert & Paul W. Beamish, 2006. "Mode of international entry: The advantages of multilevel methods," Management International Review, Springer, vol. 46(5), pages 597-618, September.

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