Asked by Clash Clans on May 25, 2024

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The nonparametric tests discussed in your book (Wilcoxon rank sum test,sign test,Wilcoxon signed rank sum test,Kruskal-Wallis test,and Friedman test) all require that the probability distributions be:

A) identical except with respect to shape (distribution) .
B) identical except with respect to spread (variance) .
C) identical except with respect to location.
D) different with respect to location,spread,and shape.

Nonparametric Tests

Statistical tests that do not assume a specific distribution for the data, often used when parametric test assumptions cannot be satisfied.

Probability Distributions

Descriptions or functions that outline all the possible values and likelihoods that a random variable can take within a given range.

Identical Except

A phrase indicating that objects or scenarios are the same in all aspects except for the specific differences mentioned.

  • Differentiate among various nonparametric tests (e.g., Wilcoxon rank sum test, sign test, Wilcoxon signed rank sum test, Kruskal-Wallis test, Friedman test).
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PV
Patrice VinsonMay 30, 2024
Final Answer :
C
Explanation :
Nonparametric tests assume that the probability distributions are identical except with respect to location, meaning that the distributions have the same shape and spread, but may be shifted (or scaled in the case of the Wilcoxon signed rank test) relative to each other. Nonparametric tests are used when the assumptions of parametric tests (such as normal distribution and homogeneity of variance) are not met, and they do not require specifying a particular distribution or estimating parameters.