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True or False: All else being equal, the variance of the difference in means for paired...

True or False: All else being equal, the variance of the difference in means for paired data will be LARGER than the variance of the difference in means for unpaired data if there is a positive covariance between the pairs.

A. True

B. False

Math   Statistics-And-Probability   
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Answer #1

Solution -:

Option (B) False is correct.

Because, In paired data 1-1 relationship exist in two values in the two data sets. Also size of data sets are same.

It arises from the same individual.

In unpaired data is independent when the sets of data arise from separate individuals. Also size of datta sets are not same.

A paired test is done on subjects that are similar or paired before data is collected and two tests are done before and after a treatment while an unpaired test is done on two independent subjects.

Therefore, we say that paired and unpaired data sets have different variance.

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