Functional Anatomy of the Null Hypothesis and of Tests of It
The author compared simulations of the "true" null hypothesis (z) test, in which ò was known and fixed, with the t test, in which s, an estimate of ò, was calculated from the sample because the t test was used to emulate the "true" test. The true null hypothesis test bears exclus...
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| Veröffentlicht in: | The Journal of general psychology 2003-01, Vol.130 (1), p.47-57 |
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| container_title | The Journal of general psychology |
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| creator | Riopelle, Arthur J. |
| description | The author compared simulations of the "true" null hypothesis (z) test, in which ò was known and fixed, with the t test, in which s, an estimate of ò, was calculated from the sample because the t test was used to emulate the "true" test. The true null hypothesis test bears exclusively on calculating the probability that a sample distance (mean) is larger than a specified value. The results showed that the value of t was sensitive to sampling fluctuations in both distance and standard error. Large values of t reflect small standard errors when n is small. The value of t achieves sensitivity primarily to distance only when the sample sizes are large. One cannot make a definitive statement about the probability or "significance" of a distance solely on the basis of the value of t. |
| doi_str_mv | 10.1080/00221300309601273 |
| format | Article |
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| source | MEDLINE; Business Source Complete |
| subjects | Humans Hypotheses Models, Psychological Normal distribution null hypothesis Population Psychological Theory Psychology - methods Sample size Simulation simulation study Standard deviation t test |
| title | Functional Anatomy of the Null Hypothesis and of Tests of It |
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