Asked by Jessica Alonso on Jun 02, 2024
Verified
The F-test of the randomized block design of the analysis of variance requires that the random variable of interest must be normally distributed and the population variances must be equal. When the random variable is not normally distributed, we can use:
A) one-way ANOVA
B) two-way ANOVA
C) chi-square test
D) binomial square test
E) Friedman test
F-Test
An F-test is a type of statistical test that compares the variances of two populations to determine if they are significantly different from each other.
Randomized Block Design
Randomized block design is a statistical experiment design that aims to reduce variation by grouping similar experimental units into blocks before randomly assigning treatments within blocks.
- Comprehend the criteria for applying the F-test in randomized block design.
Verified Answer
DH
Debbi HinderliterJun 07, 2024
Final Answer :
E
Explanation :
When the random variable of interest is not normally distributed, the Friedman test is a non-parametric alternative that can be used instead of the F-test of the randomized block design. The Friedman test is used to analyze repeated measures data where each subject receives multiple treatments or conditions. It ranks the data within each block and performs a chi-square test on the resulting ranked data. Therefore, the correct choice is E) Friedman test.
Learning Objectives
- Comprehend the criteria for applying the F-test in randomized block design.
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