MATH 10041 Chapter Notes - Chapter 9: Null Hypothesis, Test Statistic
8 Apr 2019
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Paired (dependent) samples: if you know the value that a subject has in one group, then you know something about the other group, too. Paired t-test (dependent samples: what is it, a procedure for deciding whether two independent samples have different means. If the required conditions hold, the value of the observed test statistic can be compared to a t-distribution with n-1 degrees of freedom. Caution: paired (dependent) vs. independent samples, one indication that you have paired samples is that each observation in one group is coupled with one particular observation in the other group. In this case, the two groups will have the same sample size (assuming no observations are missing: don"t accept, remember from chapter 8, that we do not accept the null hypothesis. It is possible that the sample size is too small (the test has low power) to detect the real difference that exists.
