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Related tests
The paired t-test is mathematically equivalent to one of the hypothesis tests of a two-way anova without replication. The paired t-test is simpler to perform and may be more familiar. A two-way anova would be better if both null hypotheses (equality of means of the two treatments and equality of means of the individuals) were of interest; in a paired t-test, the means of individuals are so likely to be different that there's no point in testing them. A two-way anova would have to be used if the measurements are replicated for the treatment/individual combinations.
If the paired nature of the data is ignored, the data would be analyzed using a one-way anova or a regular t-test. The loss in statistical power can be quite dramatic, however, so this is not a good idea.
One non-parametric analogue of the paired t-test is Wilcoxon signed-rank test. A simpler and even less powerful test is the sign test, which considers only the direction of difference between pairs of observations, not the size of the difference.
Pretest-posttest designs and measurement of change - Dimiter Dimitov and Phillip Rumrill
This test is used when the samples are dependent; that is, when there is only one sample that has been tested twice (repeated measures) or when there are two samples that have been matched or "paired". This is an example of a paired difference test.
how to select the correct statistical procedure for your research study
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Overview and Peer Facilitator instructional materials for the First Year Experience IL Program (2012-2014) at the College of Charleston.
Literature Review
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Journal is indexed by ERIC, the Educational Resources Information Center, and Higher Education Abstracts. ISSN 1542-3077.