• Student's t-test is a statistical test used to test whether the difference between the response of two groups is statistically significant or not. It...
    50 KB (6,785 words) - 15:20, 2 November 2024
  • adaptation of Student's t-test, and is more reliable when the two samples have unequal variances and possibly unequal sample sizes. These tests are often...
    13 KB (1,239 words) - 02:28, 22 July 2024
  • Thumbnail for Student's t-distribution
    Fisher, who called the distribution "Student's distribution" and represented the test value with the letter t. Student's t distribution has the probability...
    55 KB (6,345 words) - 08:21, 4 October 2024
  • standard error. It is used in hypothesis testing via Student's t-test. The t-statistic is used in a t-test to determine whether to support or reject...
    11 KB (1,496 words) - 02:50, 1 April 2024
  • Thumbnail for Z-test
    Student's t-test whose critical values are defined by the sample size (through the corresponding degrees of freedom). Both the Z-test and Student's t-test...
    12 KB (1,791 words) - 14:35, 4 February 2024
  • one-sample Student's t-test. For two matched samples, it is a paired difference test like the paired Student's t-test (also known as the "t-test for matched...
    39 KB (6,455 words) - 16:32, 2 November 2024
  • Thumbnail for Hotelling's T-squared distribution
    statistics underlying the Student's t-distribution. The Hotelling's t-squared statistic (t2) is a generalization of Student's t-statistic that is used in...
    18 KB (1,980 words) - 21:40, 18 September 2024
  • U} test (also called the Mann–Whitney–Wilcoxon (MWW/MWU), Wilcoxon rank-sum test, or Wilcoxon–Mann–Whitney test) is a nonparametric statistical test of...
    44 KB (5,765 words) - 10:53, 2 November 2024
  • population (within some tolerance). A number of statistical tests, such as the Student's t-test and the one-way and two-way ANOVA, require a normally distributed...
    12 KB (1,624 words) - 06:30, 27 August 2024
  • Thumbnail for A/B testing
    standard deviation. Student's t-tests are appropriate for comparing means under relaxed conditions when less is assumed. Welch's t test assumes the least...
    29 KB (3,152 words) - 22:26, 4 October 2024
  • example of a hypothesis test, consider the t-test to compare the means of two normally-distributed populations. The input to the t-test comprises a random...
    42 KB (5,447 words) - 09:47, 2 November 2024
  • application of Student's t-test is to test the location of one sequence of independent and identically distributed random variables. If we want to test the locations...
    7 KB (1,359 words) - 04:31, 10 April 2023
  • Thumbnail for F-test
    two groups for the one-way ANOVA F-test, F = t 2 {\displaystyle F=t^{2}} where t is the Student's t {\displaystyle t} statistic. Multi-group Comparison...
    17 KB (2,176 words) - 10:59, 14 September 2024
  • Thumbnail for Chi-squared test
    A chi-squared test (also chi-square or χ2 test) is a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large...
    22 KB (2,399 words) - 13:31, 7 August 2024
  • Cochran–Mantel–Haenzel test is a score test. Chow test Sequential probability ratio test Sup-Wald test Student's t-test Welch's t-test Fahrmeir, Ludwig; Kneib...
    17 KB (2,232 words) - 23:13, 22 March 2024
  • "Using the Student's t-test with extremely small sample sizes". Practical Assessment, Research, and Evaluation. 18. doi:10.7275/e4r6-dj05. "t-Test für unabhängige...
    12 KB (753 words) - 21:29, 5 July 2024
  • location testing for Gaussian scale mixture distributions arises in some particular types of situations where the more standard Student's t-test is inapplicable...
    5 KB (643 words) - 21:49, 5 March 2024
  • Thumbnail for Kolmogorov–Smirnov test
    Kolmogorov–Smirnov test (K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section 2.2), one-dimensional...
    32 KB (4,105 words) - 19:57, 11 September 2024
  • t-test shares the same weakness as the classical Student's t-test (the Behrens–Fisher problem). This can be addressed in the same way the classic t-test...
    22 KB (2,840 words) - 08:38, 4 November 2024
  • Thumbnail for Statistical hypothesis test
    Modern significance testing is largely the product of Karl Pearson (p-value, Pearson's chi-squared test), William Sealy Gosset (Student's t-distribution),...
    81 KB (10,172 words) - 01:36, 21 September 2024
  • Shapiro–Wilk test is a test of normality. It was published in 1965 by Samuel Sanford Shapiro and Martin Wilk. The Shapiro–Wilk test tests the null hypothesis...
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  • In statistics, the likelihood-ratio test is a hypothesis test that involves comparing the goodness of fit of two competing statistical models, typically...
    17 KB (2,098 words) - 09:11, 20 July 2024
  • Thumbnail for One- and two-tailed tests
    unlikely data should not be considered significant. If the test statistic follows a Student's t-distribution in the null hypothesis – which is common where...
    12 KB (1,759 words) - 11:25, 12 February 2024
  • P-value (category Statistical hypothesis testing)
    tests are the z-test for hypotheses concerning the mean of a normal distribution with known variance, the t-test based on Student's t-distribution of...
    58 KB (6,996 words) - 14:43, 31 October 2024
  • Thumbnail for Kruskal–Wallis test
    The Kruskal–Wallis test by ranks, Kruskal–Wallis H {\displaystyle H} test (named after William Kruskal and W. Allen Wallis), or one-way ANOVA on ranks...
    17 KB (2,324 words) - 11:16, 28 September 2024
  • Thumbnail for Pearson correlation coefficient
    the density of a Student's t-distribution for a studentized sample correlation coefficient, as above. Confidence intervals and tests can be calculated...
    59 KB (8,545 words) - 22:43, 26 October 2024
  • differences model: Δ y t = Δ x t b + ε t {\displaystyle \Delta y_{t}=\Delta x_{t}b+\varepsilon _{t}} The Johansen test is a test for cointegration that...
    13 KB (1,692 words) - 12:15, 20 September 2024
  • more accurate answers. Thanks to t-test theory, we know this test statistic under the null hypothesis follows a Student t-distribution with n − 1 {\displaystyle...
    31 KB (4,889 words) - 13:03, 29 October 2024
  • test Kolmogorov–Smirnov test Kuiper's test Median test Pearson's chi-squared test Student's t-test Tukey–Duckworth test Welch's t-test A/B testing v t e...
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  • Thumbnail for Noncentral t-distribution
    The noncentral t-distribution generalizes Student's t-distribution using a noncentrality parameter. Whereas the central probability distribution describes...
    15 KB (2,513 words) - 14:57, 15 October 2024