Paired Analysis

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This is especially challenging if your choices are quite different from one another, if decision criteria are subjective, or if you don't have objective data to use for your decision.

The difference between the means of the samples is unlikely to be equal to zero (due to sampling variation) and the hypothesis test is designed to answer the question "Is the observed difference sufficiently large enough to indicate that the alternative hypothesis is true?". The answer comes in the form of a probability - the p-value.

In statistics , a paired difference test is a type of location test that is used when comparing two sets of measurements to assess whether their population means differ. A paired difference test uses additional information about the sample that is not present in an ordinary unpaired testing situation, either to increase the statistical power , or to reduce the effects of confounders .