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...

Fisher, who called the distribution "Student's distribution" and represented the test value with the letter t. Student's t distribution has the probability...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

"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...

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...

location testing for Gaussian scale mixture distributions arises in some particular types of situations where the more standard Student's t-test is inapplicable...

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...

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...

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...

Modern significance testing is largely the product of Karl Pearson (p-value, Pearson's chi-squared test), William Sealy Gosset (Student's t-distribution),...

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...

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...

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...

The noncentral t-distribution generalizes Student's t-distribution using a noncentrality parameter. Whereas the central probability distribution describes...

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...

the density of a Student's t-distribution for a studentized sample correlation coefficient, as above. Confidence intervals and tests can be calculated...

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...

In statistics, the likelihood-ratio test is a hypothesis test that involves comparing the goodness of fit of two competing statistical models, typically...

quantity. The z-score is often used in the z-test in standardized testing – the analog of the Student's t-test for a population whose parameters are known...