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  2. Student's t-distribution - Wikipedia

    en.wikipedia.org/wiki/Student's_t-distribution

    Student's t distribution has the probability density function ... For 90% confidence with 10 degrees of freedom, the one-sided t value from the table is 1.372 . Then ...

  3. Student's t-test - Wikipedia

    en.wikipedia.org/wiki/Student's_t-test

    Once the t value and degrees of freedom are determined, a p-value can be found using a table of values from Student's t-distribution. If the calculated p-value is below the threshold chosen for statistical significance (usually the 0.10, the 0.05, or 0.01 level), then the null hypothesis is rejected in favor of the alternative hypothesis.

  4. t-statistic - Wikipedia

    en.wikipedia.org/wiki/T-statistic

    Most frequently, t statistics are used in Student's t-tests, a form of statistical hypothesis testing, and in the computation of certain confidence intervals. The key property of the t statistic is that it is a pivotal quantity – while defined in terms of the sample mean, its sampling distribution does not depend on the population parameters, and thus it can be used regardless of what these ...

  5. T distribution - Wikipedia

    en.wikipedia.org/wiki/T_distribution

    The phrase "T distribution" may refer to Student's t-distribution in univariate probability theory, Hotelling's T-square distribution in multivariate statistics.

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  7. Noncentral t-distribution - Wikipedia

    en.wikipedia.org/wiki/Noncentral_t-distribution

    However, the central t-distribution can be used as an approximation to the noncentral t-distribution. [7] If T is noncentral t-distributed with ν degrees of freedom and noncentrality parameter μ and F = T 2, then F has a noncentral F-distribution with 1 numerator degree of freedom, ν denominator degrees of freedom, and noncentrality ...

  8. Studentized residual - Wikipedia

    en.wikipedia.org/wiki/Studentized_residual

    where t is a random variable distributed as Student's t-distribution with ν − 1 degrees of freedom. In fact, this implies that t i 2 /ν follows the beta distribution B(1/2,(ν − 1)/2). The distribution above is sometimes referred to as the tau distribution; [2] it was first derived by Thompson in 1935. [3]

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