SOLUTION: Which of the following is the distribution of the test statistic for analysis of variance? a. the Student's t distribution b. the binomial distribution c. the normal distrib

Algebra ->  Probability-and-statistics -> SOLUTION: Which of the following is the distribution of the test statistic for analysis of variance? a. the Student's t distribution b. the binomial distribution c. the normal distrib      Log On


   



Question 1207895: Which of the following is the distribution of the test statistic for analysis of variance?
a. the Student's t distribution
b. the binomial distribution
c. the normal distribution
d. the F distribution

Answer by math_tutor2020(3817) About Me  (Show Source):
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Answer: Option D

Explanation

This is something to memorize.
One way to help remember this is to generate an ANOVA table using something like Statdisk, SPSS, or SAS.
Of these 3, Statdisk is probably the most user friendly. It works right out of the box without any download, installation or login needed.
Or if you want to use a TI84 then check out this article
https://www.statology.org/anova-ti-84-calculator/

There are many more options to pick from.


Part of the ANOVA table result will be the F test statistic, which is often simply labeled "F".

Further Reading
https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Mostly_Harmless_Statistics_(Webb)/11%3A_Analysis_of_Variance/11.01%3A_One-Way_ANOVA