When all possible differences between pairs of population means are evaluated not with an F test, but with a series of regular t

Question

balu736 [363]

3 years ago

11

When all possible differences between pairs of population means are evaluated not with an F test, but with a series of regular t

tests, the probability of at least one:

Mathematics

1 answer:

Usimov [2.4K] · Answer 1 · 2022-02-22T14:20:35+03:00

Answer:

When all possible differences between pairs of population means are evaluated not with an F test, but with a series of regular t tests, the probability of at least one:

A. type I error is larger than the specified level of significance.

B. type II error is larger than the specified level of significance.

C. type I error is smaller than the specified level of significance.

D. type II error is smaller than the specified level of significance.

Answer : Type I error is larger than the specified level of significance.( A )

Step-by-step explanation:

An F test is a test that is used to test whether the variances between pairs of populations are equal while a T test is a test used to check if a pair of population are equal not considering the fact that the variances of the population are different .

When a T test is used to evaluate all possible differences between pairs of population instead of F test there is a probability of atleast one type 1 error larger than the specified level of significance.