statistics, Student's t distribution (or simply the t distribution) t ν {\displaystyle \ t_{\nu }\ } is a continuous probability distribution that generalizes...
55 KB (6,345 words) - 08:21, 4 October 2024
follows a Student's t-distribution under the null hypothesis. It is most commonly applied when the test statistic would follow a normal distribution if the...
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called studentized residuals. Mathematics portal F-test t2-statistic Student's T-Distribution Student's t-test Hypothesis testing Folded-t and half-t distributions...
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It is a generalization to random vectors of the Student's t-distribution, which is a distribution applicable to univariate random variables. While the...
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The phrase "T distribution" may refer to Student's t-distribution in univariate probability theory, Hotelling's T-square distribution in multivariate...
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as the distribution of a set of sample statistics that are natural generalizations of the statistics underlying the Student's t-distribution. The Hotelling's...
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accordance with a Student's t-distribution. If X is a random variable with a Student's t-distribution, then Y = exp(X) has a log-t distribution; likewise, if...
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noncentral t-distribution generalizes Student's t-distribution using a noncentrality parameter. Whereas the central probability distribution describes...
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under the pseudonym "Student" (e.g., Student's distribution). Dividing a statistic by a sample standard deviation is called studentizing, in analogy with...
11 KB (1,576 words) - 19:08, 20 October 2024
bivariate normal distribution, the sampling distribution of the studentized Pearson's correlation coefficient follows Student's t-distribution with degrees...
59 KB (8,545 words) - 22:43, 26 October 2024