describe Neamos test for matched samples

Expert Solution

Test for Matched samples-

To compare matched or paired samples. The two comparison groups are said to be dependent, and the data can arise from a single sample of participants where each participant is measured twice (possibly before and after an intervention) or from two samples that are matched on specific characteristics (e.g., siblings). When the samples are dependent, we focus on difference scores in each participant or between members of a pair and the test of hypothesis is based on the mean difference, μ_d. The null hypothesis again reflects "no difference" and is stated as H₀: μ_d =0 . Note that there are some instances where it is of interest to test whether there is a difference of a particular magnitude (e.g., μ_d =5) but in most instances the null hypothesis reflects no difference (i.e., μ_d=0).

The appropriate formula for the test of hypothesis depends on the sample size. The formulas are shown below and are identical to those we presented for estimating the mean of a single sample presented (e.g., when comparing against an external or historical control), except here we focus on difference scores.

Test Statistics for Testing

H₀: μ_d =0

if n > 30

if n < 30

where df =n-1

milcah answered 1 year ago

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