Define the following notation:

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

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

The hypothesis , where and are the means of the first and second PAIRED variables, respectively, can be rewritten as . The value and -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

Estimates and confidence limits are not computed for this situation.