For the paired-samples t test, one of the assumptions is that the variance of scores at time one is similar to the variance of scores at time two, known as homogeneity of variance.

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The paired-samples t-test assumes that the differences between paired observations are normally distributed, not that the variances at each time point are similar. Homogeneity of variance is an assumption for independent samples t-tests, not paired-samples t-tests.

For the Paired-Samples T Test, One of the Assumptions Is