Question

1- When you have two independent populations, explain how to compare the variances of two independent...

1- When you have two independent populations, explain how to compare the variances of two independent populations

2- Under what conditions should you use the paired t test for the mean difference between two related populations?

Math   Statistics-And-Probability   
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Answer #1

1) By using f test we can compare the variance of two independent population.

As we know F= Ratio of two population variance .

2) following are some conditions under which we should use paired t-test:

a) the sample sizes of are should be equal i.e.n1=n2=n (say)

b) the two samples are not independent but the sample observation are paired together I.e. the pair of observation (xi,yi),(I=1,2...,n) corresponds to the same (ith) sample unit.

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