3) When compared to a paired t-test, the Wilcoxon Signed Rank test loses informa

Question

3) When compared to a paired t-test, the Wilcoxon Signed Rank test loses information because it only takes into account the relative magnitude of the differences (i.e. their ranks), not the actual values of the differences.

a)True

b)False

4) According to Wikipedia, ambidexterity is defined as “the state of being equally adapted in the use of both the left and the right hand, and also in using them at the same time.” A group of researchers are interested in determining whether ambidextrous individuals also have equal strength in their left and right hand, as measured with a handgrip dynamometer (see http://www.topendsports.com/testing/products/grip-dynamometer/ if you want to learn more), and they have asked you to help with the statistical analysis.

a)What is the parameter of interest?

b)Specify the null hypothesis.

Please have it done as soon as possible, thanks so much!

Explanation / Answer

3)

The given statement is True. that is when compared to a paired t-test, the Wilcoxon Signed Rank test loses information because it only takes into account the relative magnitude of the differences (i.e. their ranks), not the actual values of the differences.

Because in the paired test the Wilcoxon Signed Rank test, the magnitude of the differences (ignoring the sign) between each matched pair are ranked, assigning the rank 1 to the smallest difference, and the sums of the ranks are compared in those pairs with positive differences and those with negative differences. Under the null hypothesis, these sums should be equal and the actual result can be reffered to the chance expected distribution of sums around a median of 0. Although non parametric tests of means have the advantage of requiring no assumptions. The use of relative magnitudes or ranks rather than actual values may result in a loss of statistical efficiency, and therefore, in more conservative statistical inferences. To maximize statistical efficiency, it is sometimes preferable to use the t-test even if prior logarithmic or other transformation of highly skewed data is required.

4) For this question you need to provide a data.

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