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  2. One- and two-tailed tests - Wikipedia

    en.wikipedia.org/wiki/One-_and_two-tailed_tests

    A two-tailed test applied to the normal distribution. A one-tailed test, showing the p-value as the size of one tail. In statistical significance testing, a one-tailed test and a two-tailed test are alternative ways of computing the statistical significance of a parameter inferred from a data set, in terms of a test statistic. A two-tailed test ...

  3. Student's t-test - Wikipedia

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

    A one-sample Student's t-test is a location test of whether the mean of a population has a value specified in a null hypothesis. In testing the null hypothesis that the population mean is equal to a specified value μ 0, one uses the statistic = ¯ /,

  4. Boschloo's test - Wikipedia

    en.wikipedia.org/wiki/Boschloo's_test

    The null hypothesis of Boschloo's one-tailed test (high values of favor the alternative hypothesis) is: : The null hypothesis of the one-tailed test can also be formulated in the other direction (small values of favor the alternative hypothesis):

  5. Statistical hypothesis test - Wikipedia

    en.wikipedia.org/wiki/Statistical_hypothesis_test

    Statistical hypothesis testing is a key technique of both frequentist inference and Bayesian inference, although the two types of inference have notable differences. Statistical hypothesis tests define a procedure that controls (fixes) the probability of incorrectly deciding that a default position (null hypothesis) is incorrect. The procedure ...

  6. Statistical significance - Wikipedia

    en.wikipedia.org/wiki/Statistical_significance

    A two-tailed test may still be used but it will be less powerful than a one-tailed test, because the rejection region for a one-tailed test is concentrated on one end of the null distribution and is twice the size (5% vs. 2.5%) of each rejection region for a two-tailed test. As a result, the null hypothesis can be rejected with a less extreme ...

  7. Z-test - Wikipedia

    en.wikipedia.org/wiki/Z-test

    For Null hypothesis H 0: μ≤μ 0 vs alternative hypothesis H 1: μ>μ 0, it is upper/right-tailed (one tailed). For Null hypothesis H 0: μ=μ 0 vs alternative hypothesis H 1: μ≠μ 0, it is two-tailed. Third, calculate the standard score: = (¯), which one-tailed and two-tailed p-values can be calculated as Φ(Z)(for lower/left-tailed ...

  8. Null hypothesis - Wikipedia

    en.wikipedia.org/wiki/Null_hypothesis

    A one-tailed hypothesis (tested using a one-sided test) [2] is an inexact hypothesis in which the value of a parameter is specified as being either: above or equal to a certain value, or; below or equal to a certain value. A one-tailed hypothesis is said to have directionality. Fisher's original (lady tasting tea) example was a one-tailed test ...

  9. Test statistic - Wikipedia

    en.wikipedia.org/wiki/Test_statistic

    Test statistic is a quantity derived from the sample for statistical hypothesis testing. [1] A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data-set that reduces the data to one value that can be used to perform the hypothesis test.