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Under what conditions would you use the paired t-test?
A paired t-test is used when we are interested in the difference between two variables for the same subject. Often the two variables are separated by time. For example, in the Dixon and Massey data set we have cholesterol levels in 1952 and cholesterol levels in 1962 for each subject.
When do you use a paired two sample t-test?
The t-Test Paired Two Sample for Means tool performs a paired two-sample Student’s t-Test to ascertain if the null hypothesis (means of two populations are equal) can be accepted or rejected. This test does not assume that the variances of both populations are equal.
What’s the difference between unpaired t test and paired t test?
Unpaired T-Tests, also known as independent T-Tests or student’s T-Test, is determining the two means groups of different/unrelated subjects. Under Paired T-Test the variance of the two mean groups are not equal.
What is the formula for a paired sample t test?
Paired Samples t-test: Formula. A paired samples t-test always uses the following null hypothesis: H 0: μ 1 = μ 2 (the two population means are equal) The alternative hypothesis can be either two-tailed, left-tailed, or right-tailed: H 1 (two-tailed): μ 1 ≠ μ 2 (the two population means are not equal)
Why is a paired t test not used in Stata?
There are four “assumptions” that underpin the paired t-test. If any of these four assumptions are not met, you cannot analyse your data using a paired t-test because you will not get a valid result. Since assumptions #1 and #2 relate to your study design and choice of variables, they cannot be tested for using Stata.
Why are outliers bad for the paired t test?
The problem with outliers is that they can have a negative effect on the paired t-test, distorting the differences between the two related groups (whether increasing or decreasing the scores on the dependent variable), which reduces the accuracy of your results. In addition, they can affect the statistical significance of the test.