PROC TTEST: Paired Design :: SAS/STAT(R) 9.22 User's Guide

The TTEST Procedure

Paired Design

Define the following notation:

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

Normal Difference (DIST=NORMAL TEST=DIFF)

The analysis is the same as the analysis for the one-sample design in the section Normal Data (DIST=NORMAL) based on the differences

$\text{[math]}$

Lognormal Ratio (DIST=LOGNORMAL TEST=RATIO)

The analysis is the same as the analysis for the one-sample design in the section Lognormal Data (DIST=LOGNORMAL) based on the ratios

$\text{[math]}$

Normal Ratio (DIST=NORMAL TEST=RATIO)

The hypothesis $\text{[math]}$ , where $\text{[math]}$ and $\text{[math]}$ are the means of the first and second PAIRED variables, respectively, can be rewritten as $\text{[math]}$ . The $\text{[math]}$ value and $\text{[math]}$ -value are computed in the same way as in the one-sample design in the section Normal Data (DIST=NORMAL) based on the transformed values

$\text{[math]}$

Estimates and confidence limits are not computed for this situation.

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