In statistics, asymptotic theory, or large sample theory, is a framework for assessing properties of estimators and statistical tests. Within this framework...

calculated. A test statistic shares some of the same qualities of a descriptive statistic, and many statistics can be used as both test statistics and descriptive...

Lehmann, E. L. (December 1993). "The Fisher, Neyman–Pearson Theories of Testing Hypotheses: One Theory or Two?". Journal of the American Statistical Association...

hypothesis is true. Test statistics that follow a χ2 distribution occur when the observations are independent. There are also χ2 tests for testing the null hypothesis...

Classical test theory (CTT) is a body of related psychometric theory that predicts outcomes of psychological testing such as the difficulty of items or...

The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications...

component analysis. A typical statistics course covers descriptive statistics, probability, binomial and normal distributions, test of hypotheses and confidence...

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

that are not easy to quantify by theory alone. The term "mathematical statistics" designates the mathematical theories of probability and statistical inference...

Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical...

In statistics, normality tests are used to determine if a data set is well-modeled by a normal distribution and to compute how likely it is for a random...

is parametric statistics. Nonparametric statistics can be used for descriptive statistics or statistical inference. Nonparametric tests are often used...

by testing hypotheses and deriving estimates. It is assumed that the observed data set is sampled from a larger population. Inferential statistics can...

In probability theory and statistics, the F-distribution or F-ratio, also known as Snedecor's F distribution or the Fisher–Snedecor distribution (after...

In statistics, the Cochran–Mantel–Haenszel test (CMH) is a test used in the analysis of stratified or matched categorical data. It allows an investigator...

In statistical theory, a U-statistic is a class of statistics defined as the average over the application of a given function applied to all tuples of...

In medicine and statistics, sensitivity and specificity mathematically describe the accuracy of a test that reports the presence or absence of a medical...

limit theorem, many test statistics are approximately normally distributed for large samples. Therefore, many statistical tests can be conveniently performed...

Conclusions From Data: Descriptive Statistics, Inferential Statistics, and Hypothesis Testing", Interpreting and Using Statistics in Psychological Research, Thousand...

In statistics, resampling is the creation of new samples based on one observed sample. Resampling methods are: Permutation tests (also re-randomization...

measurement. The basic starting point for almost all theories of test reliability is the idea that test scores reflect the influence of two sorts of factors:...

measurement theories are divided into two major areas: (1) Classical test theory; (2) Item Response Theory. The classical test theory or true score theory or reliability...

application of statistical hypothesis testing or "two-sample hypothesis testing" as used in the field of statistics. A/B testing is a way to compare multiple versions...

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...

The Wilcoxon signed-rank test is a non-parametric rank test for statistical hypothesis testing used either to test the location of a population based...

In statistics (classical test theory), average variance extracted (AVE) is a measure of the amount of variance that is captured by a construct in relation...

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...

Bechdel test (/ˈbɛkdəl/ BEK-dəl), also known as the Bechdel-Wallace test, is a measure of the representation of women in film and other fiction. The test asks...

In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated...

increases. The term "t-statistic" is abbreviated from "hypothesis test statistic". In statistics, the t-distribution was first derived as a posterior distribution...