PROC POWER: Analyses in the ONEWAYANOVA Statement :: SAS/STAT(R) 9.2 User's Guide, Second Edition

The POWER Procedure

Analyses in the ONEWAYANOVA Statement

One-Degree-of-Freedom Contrast (TEST=CONTRAST)

The hypotheses are

	$\text{[math]}$	$\text{[math]}$
	$\text{[math]}$	$\text{[math]}$

where $\text{[math]}$ is the number of groups, $\text{[math]}$ are the contrast coefficients, and $\text{[math]}$ is the null contrast value.

The test is the usual $\text{[math]}$ test for a contrast in one-way ANOVA. It assumes normal data with common group variances and requires $\text{[math]}$ and $\text{[math]}$ .

O’Brien and Muller (1993, Section 8.2.3.2) give the exact power as

$\text{[math]}$

where

$\text{[math]}$

Overall F Test (TEST=OVERALL)

The hypotheses are

	$\text{[math]}$	$\text{[math]}$
	$\text{[math]}$	$\text{[math]}$

where $\text{[math]}$ is the number of groups.

The test is the usual overall $\text{[math]}$ test for equality of means in one-way ANOVA. It assumes normal data with common group variances and requires $\text{[math]}$ and $\text{[math]}$ .

O’Brien and Muller (1993, Section 8.2.3.1) give the exact power as

$\text{[math]}$

where the noncentrality is

$\text{[math]}$

and

$\text{[math]}$

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