Paired t test is equivalent in non parameteric test
**Core Concept**
Paired t-test is a statistical test used to compare the means of two related groups of samples, where the samples are paired or matched in some way. This is a non-parametric test that assumes normality of the data and equal variances between the groups.
**Why the Correct Answer is Right**
The paired t-test is equivalent to the Wilcoxon signed-rank test, which is a non-parametric test used to compare two related groups of samples. This is because both tests are used to compare the differences between paired samples and do not require the data to be normally distributed. The paired t-test uses the mean of the differences between the paired samples to calculate the test statistic, while the Wilcoxon signed-rank test uses the signed ranks of the differences.
**Why Each Wrong Option is Incorrect**
* **Option A:** This option is incorrect because the paired t-test is a parametric test, not a non-parametric test.
* **Option B:** This option is incorrect because the paired t-test is not equivalent to the Mann-Whitney U test, which is used to compare two independent groups of samples.
* **Option C:** This option is incorrect because the paired t-test is not equivalent to the ANOVA test, which is used to compare three or more groups of samples.
**Clinical Pearl / High-Yield Fact**
When selecting a test to compare two related groups of samples, remember that the paired t-test is a good choice when the data are normally distributed and the variances are equal. However, if the data are not normally distributed, consider using a non-parametric test such as the Wilcoxon signed-rank test.
**Correct Answer:** .