Question

An ANOVA test was conducted and the following results were obtained.

Descriptive Statistics

Groups	Count	Sum	Average	Variance
A	244	109831	450.13	16833.16
B	1337	689273	515.54	13858.67
C	1060	641232	604.94	12652.42
ANOVA
Source of Variation	SS	df	MS	F	P-value
Between Groups	7164292.02	2	3582146.01	262.46	0.000
Within Groups	36004549.12	2638	13648.43
Total	43168841.14	2640

What would be the Type I error rate if a series of t-tests were performed instead of the ANOVA test? Show your work.

Answer 1

Here we have three groups so we perform three t-test at level of significance so the type I error that is will get add three times that means the type I error will increases this will affect our result so we will use anova instead of indivisual t-test.

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