Paired Design

Define the following notation:

     
     
     
     
     
     

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

     

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

     

Normal Ratio (DIST=NORMAL TEST=RATIO)

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.