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In: Statistics and Probability

Read the scenario and pick the most appropriate nonparametric statistical test (assume several assumptions of parametric...

Read the scenario and pick the most appropriate nonparametric statistical test (assume several assumptions of parametric tests were violated).

  1. Imagine that marketing researchers working for a food company want to determine whether children would prefer ketchup of a different color. They develop green and blue to compare to their standard red (all taste the same). They have children taste all three colors of ketchups (a correlated-groups design) and rank each on a scale of 1 – 10.

Answer:

  1. A researcher wanted to examine whether modality impacts ability to learn how to write letters of the alphabet. One group of children was taught to trace letters using pen and paper. A second group was taught by using their finger to trace letters on an iPad. Data was skewed.

Answer:

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Expert Solution

  1. Imagine that marketing researchers working for a food company want to determine whether children would prefer ketchup of a different color. They develop green and blue to compare to their standard red (all taste the same). They have children taste all three colors of ketchups (a correlated-groups design) and rank each on a scale of 1 – 10.

Answer: Friedman test

Friedman test is used to detect differences in treatments across multiple test attempts. The procedure involves ranking each row together, then considering the values of ranks by columns

  1. A researcher wanted to examine whether modality impacts ability to learn how to write letters of the alphabet. One group of children was taught to trace letters using pen and paper. A second group was taught by using their finger to trace letters on an iPad. Data was skewed.

Answer: Wilcoxon rank-sum test

The Wilcoxon rank-sum test is commonly used for the comparison of two groups of nonparametric (interval or not normally distributed) data, such as those which are not measured exactly but rather as falling within certain limits


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