Question
A researcher wants to find out if people have preferences in taste of three kinds of peanut butter (Brand A, Brand B, and Brand C).
A researcher wants to find out if people have preferences in taste of three kinds of peanut butter (Brand A, Brand B, and Brand C). Eight participants are each asked to taste the three brands of peanut butter in random order. The participants are asked to rate the taste of each peanut butter on a 20-point scale (without knowing which brand is which). A high score is a more positive rating. Conduct the Friedman's Rank Test for k correlated samples (2F) using an alpha of .05. Also, conduct a post hoc analysis using the Wilcoxon's Matched-Pairs Signed-Ranks Test.
ID | Brand A | Brand B | Brand C |
1 | 8 | 3 | 2 |
2 | 15 | 14 | 4 |
3 | 16 | 17 | 12 |
4 | 7 | 5 | 4 |
5 | 9 | 3 | 6 |
6 | 8 | 9 | 4 |
7 | 10 | 3 | 4 |
8 | 12 | 10 | 2 |
What were the results of the post hoc analysis comparing the pairs of mean ranks for differences?
There were significant differences on taste across all of the brands of peanut butter.
Both the Brand B and Brand C were significantly different from Brand A on taste.
The only taste difference was found between the Brand B and Brand C.
The only taste difference was found between Brand A and Brand C.
There were no significant differences on taste across all the brands of peanut butter.
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