This page presents sample size for Multiple Regression as calculated in the Sample Size for Multiple Regression Program Page , according to algorithm in Cohen's book (see references). The tables are for

• Powers of 0.8, 0.9, and 0.95
• Probability of Type I Error (α) of 0.1, 0.05, 0.01 and 0.001
• Number of independent variable (U) of 2 to 15
• Multiple Correlation Coefficient (R) at 0.05 intervals

The calculation of sample size for Multiple Regression is based on the F distribution, and required numerous iterative approximations. Computation time is therefore extensive, sometimes lasting up to minutes. Users are therefore encouraged to consult the tables, and if necessary extrapolate sample size between adjascent cells in the table.

Cohen J. (1988) Statistical Power Analysis for the Behavioural Sciences. Second Edition. Lawrence Erlbaum Associates Publishers. Hillsdale New Jersey USA. ISBN 0-8058-0283-5. p. 407-410; 551.