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Conservative sample size for multiple regression models

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  • Matthew J. McIntosh

Abstract

A lower bound is given for the multiple correlation coefficient R. This lower bound is used to obtain conservative sample sizes for testing the hypothesis H0:R2=0 vs H1:R2>0 which is one method for obtaining the sample size for a Multiple Linear Regression Model. Results are given which can be used to determine how close the conservative sample sizes are to those obtained using the true value of R.

Suggested Citation

  • Matthew J. McIntosh, 2023. "Conservative sample size for multiple regression models," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(15), pages 5527-5533, August.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:15:p:5527-5533
    DOI: 10.1080/03610926.2021.2012198
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