Question: Count Five Test for Comparing Variation in Two Populations Repeat Exercise 16 Blanking Out on Tests, but instead of using the F test, use the

Count Five Test for Comparing Variation in Two Populations Repeat Exercise 16

“Blanking Out on Tests,” but instead of using the F test, use the following procedure for the

“count five” test of equal variations (which is not as complicated as it might appear).

a. For each value x in the first sample, find the absolute deviation x - x , then sort the absolute deviation values. Do the same for the second sample.

b. Let c1 be the count of the number of absolute deviation values in the first sample that are greater than the largest absolute deviation value in the second sample. Also, let c2 be the count of the number of absolute deviation values in the second sample that are greater than the largest absolute deviation value in the first sample. (One of these counts will always be zero.)

c. If the sample sizes are equal 1n1 = n22, use a critical value of 5.

If n1 n2, calculate the critical value shown below. log log(a/2) n

d. If c1 Ú critical value, then conclude that s21 7 s22 . If c2 Ú critical value, then conclude that s22 7 s21 . Otherwise, fail to reject the null hypothesis of s21 = s22.

log log(a/2) n

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