Which one is correct? If the measurements are quantitative (e.g. Weight) and tak

Question

Which one is correct?

If the measurements are quantitative (e.g. Weight) and taken twice from each subject observed (e.g. subject's weight d after dieting, the analysis will involve the mean of differences of measurements of each subject. If the measurements are quantitative (e.g. GPA) and taken from two distinct groups (e.g. Graduate, Undergraduate) the analysis will involve comparing two independent proportions If the measurements are categorical (eg Yes or No to the question "Do you smoke?) and taken from two distinct group e.g. Female, Male) the analysis will involve comparing two independent means.

Explanation / Answer

The first option is correct. Since the same subject is measure twice, once before treatment and once after the treatment, then we take the mean of the differences for all the subjects who have undergone this test.

(Second option can be difference in proportions, can be difference in means too)

(The third one is a chi square test of independence.)

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