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Paired Analysis of Variance

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Clinical Data Analysis on a Pocket Calculator

Abstract

Paired t-tests are for assessing the effect of two treatments in a single group of patients. However, if you wish to compare three treatments, the paired t-tests can no longer be applied. Instead, paired analysis of variance (ANOVA), otherwise called repeated-measures ANOVA must be used for analysis.

The chapter show how repeated-measures ANOVA can be used to overall test the significance of difference between three treatments in a single group of patients. However, it does not tell us whether treatment 1 is better than 2, treatment 2 better than 3, or treatment 1 better than 3, or any combinations of these effects. For that purpose post hoc tests are required, comparing the treatments one by one. Paired t-tests should be appropriate for the purpose.

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Cleophas, T.J., Zwinderman, A.H. (2016). Paired Analysis of Variance. In: Clinical Data Analysis on a Pocket Calculator. Springer, Cham. https://doi.org/10.1007/978-3-319-27104-0_20

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