Wading Through the Data Swamp:
Program Evaluation 201

Supplements

The t-Test of Differences Between Means:
Independent Samples t-Test for Pretest Data

Step 9: Calculate the combined variance.

At this point we need to know the variance because it is part of the t-test formula.

The formula is:

Variance equals the som of squares divided by the degrees of freedom

Since we have two groups, this step involves adding the two sums of squares calculated in step 7 and dividing by the combined degrees of freedom calculated in step 8. The SS for the participant group plus the SS for the comparison group is 143.52 + 178.42 = 321.94. If we divide the combined sums of squares, 321.94, by the combined degrees of freedom, 98, it will give a combined variance of 3.285.

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