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Standard Deviations Sample Sizes Assume Equal Standard Deviations (Pooled) Do Not Assume Equal Standard Deviations (Not Pooled) Study T test statistic Degrees of Freedom P-value
Standard Deviations Sample Sizes Assume Equal Standard Deviations (Pooled) Do Not Assume Equal Standard Deviations (Not Pooled) Study T test statistic Degrees of Freedom P-value T test statistic Degrees of Freedom P-value 1 12 10 20 20 1.431 38 0.1605 1.431 36.80 0.1607 2 12 10 50 50 2.263 98 0.0258 2.263 94.91 0.0259 3 6 5 20 20 2.863 38 0.0068 2.863 36.80 0.0069 4 6 6 32 8 2.108 38 0.0417 2.108 10.79 0.0593 5 8 6 20 20 2.236 38 0.0313 2.236 35.24 0.0318 6 8 6 10 30 2.097 38 0.0427 1.814 12.55 0.0937 7 8 6 30 10 1.808 38 0.0785 2.088 20.58 0.0494 8 12 2 20 20 1.838 38 0.0739 1.838 20.05 0.0809 9 12 2 10 30 2.246 38 0.0306 1.312 9.17 0.2216 10 12 2 30 10 1.301 38 0.2012 2.193 33.29 0.0354
Standard Deviations | Sample Sizes | Assume Equal Standard Deviations (Pooled) | Do Not Assume Equal Standard Deviations (Not Pooled) | |||||||
Study | T test statistic | Degrees of Freedom | P-value | T test statistic | Degrees of Freedom | P-value | ||||
1 | 12 | 10 | 20 | 20 | 1.431 | 38 | 0.1605 | 1.431 | 36.80 | 0.1607 |
2 | 12 | 10 | 50 | 50 | 2.263 | 98 | 0.0258 | 2.263 | 94.91 | 0.0259 |
3 | 6 | 5 | 20 | 20 | 2.863 | 38 | 0.0068 | 2.863 | 36.80 | 0.0069 |
4 | 6 | 6 | 32 | 8 | 2.108 | 38 | 0.0417 | 2.108 | 10.79 | 0.0593 |
5 | 8 | 6 | 20 | 20 | 2.236 | 38 | 0.0313 | 2.236 | 35.24 | 0.0318 |
6 | 8 | 6 | 10 | 30 | 2.097 | 38 | 0.0427 | 1.814 | 12.55 | 0.0937 |
7 | 8 | 6 | 30 | 10 | 1.808 | 38 | 0.0785 | 2.088 | 20.58 | 0.0494 |
8 | 12 | 2 | 20 | 20 | 1.838 | 38 | 0.0739 | 1.838 | 20.05 | 0.0809 |
9 | 12 | 2 | 10 | 30 | 2.246 | 38 | 0.0306 | 1.312 | 9.17 | 0.2216 |
10 | 12 | 2 | 30 | 10 | 1.301 | 38 | 0.2012 | 2.193 | 33.29 | 0.0354 |
What do we learn from this? Answer the following questions.
Compare Study 2 and Study 1: Based on your results, how (in general) does increasing sample sizes (holding the means and standard deviations constant) impact our three metrics (degrees of freedom, the test statistics and the p-values)?
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