Asked by Jerry Powell on Jul 18, 2024
Verified
In ANOVA,the F-test is the ratio of two sample variances.In the one-way ANOVA (completely randomized design) ,the variance used as a numerator of the ratio is:
A) mean square for treatments.
B) mean square for error.
C) total sum of squares.
D) None of these choices.
Mean Square Treatments
In the context of ANOVA, a measure of variance among the means of different groups, calculated by dividing the sum of squares due to treatment by the degrees of freedom for treatment.
F-test
A statistical test used to compare two variances and ascertain if they come from populations with equal variances.
- Comprehend the procedure for calculating and elucidating the F-statistic in the context of one-way ANOVA.
Verified Answer
JC
Joaquin CastroJul 18, 2024
Final Answer :
A
Explanation :
In one-way ANOVA, the F-test is used to compare the mean differences between the treatment groups, and the numerator of the F-test is the mean square for treatments (the variance between the treatment group means). The denominator of the F-test is the mean square for error (the within-group variance). The total sum of squares is the sum of the squared deviations of each observation from the overall mean and is used to calculate the overall variance, but it is not used as the numerator of the F-test.
Learning Objectives
- Comprehend the procedure for calculating and elucidating the F-statistic in the context of one-way ANOVA.
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