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

by the likelihood ratio. In frequentist inference, the likelihood ratio is the basis for a test statistic, the so-called likelihood-ratio test. By the...

A monotonic likelihood ratio in distributions   f ( x )   {\displaystyle \ f(x)\ } and   g ( x )   {\displaystyle \ g(x)\ } The ratio of the density functions...

In statistics, G-tests are likelihood-ratio or maximum likelihood statistical significance tests that are increasingly being used in situations where...

multiplier test and the likelihood-ratio test, the Wald test is one of three classical approaches to hypothesis testing. An advantage of the Wald test over...

In statistics, the score test assesses constraints on statistical parameters based on the gradient of the likelihood function—known as the score—evaluated...

distribution of the log-likelihood ratio statistic, which can be used to produce confidence intervals for maximum-likelihood estimates or as a test statistic for...

An F-test is a statistical test that compares variances. It is used to determine if the variances of two samples, or if the ratios of variances among...

In evidence-based medicine, likelihood ratios are used for assessing the value of performing a diagnostic test. They combine sensitivity and specificity...

the likelihood-ratio test (LRT), which for these data give p ≈ 0.00064 {\displaystyle p\approx 0.00064} (see § Deviance and likelihood ratio tests below)...

analog to the likelihood-ratio test, although it uses the integrated (i.e., marginal) likelihood rather than the maximized likelihood. As such, both...

{\displaystyle {\begin{cases}H_{0}:d=1\\H_{1}:d>1\end{cases}}} The likelihood-ratio test statistic for hermite distribution is, W = 2 ( L ( X ; μ ^ , d ^...

degrees of freedom. The Likelihood-ratio test is another IRT based method for assessing DIF. This procedure involves comparing the ratio of two models. Under...

all possible tests of a given size α. For example, according to the Neyman–Pearson lemma, the likelihood-ratio test is UMP for testing simple (point)...

Tukey's test of additivity The portmanteau test in time-series analysis, testing for the presence of autocorrelation Likelihood-ratio tests in general...

score test for the Cox proportional hazards model comparing two groups. It is therefore asymptotically equivalent to the likelihood ratio test statistic...

Cochran–Mantel–Haenszel test must be used instead of Fisher's test. Choi et al. propose a p-value derived from the likelihood ratio test based on the conditional...

Cohen's h Cross-ratio Diagnostic odds ratio Forest plot Hazard ratio Likelihood ratio Rate ratio Szumilas M (August 2010). "Explaining Odds Ratios". Journal...

The sequential probability ratio test (SPRT) is a specific sequential hypothesis test, developed by Abraham Wald and later proven to be optimal by Wald...

parameters and computing a posterior distribution given the computed likelihoods. A normality test is used to determine whether sample data has been drawn from...

\chi _{k-1}^{2}} distribution). Bartlett's test is a modification of the corresponding likelihood ratio test designed to make the approximation to the...

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...

In statistics, the Kolmogorov–Smirnov test (also K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section...

The omnibus test, among the other parts of the logistic regression procedure, is a likelihood-ratio test based on the maximum likelihood method. Unlike...

A/B testing (also known as bucket testing, split-run testing or split testing) is a user-experience research method. A/B tests consist of a randomized...

lemma describes the existence and uniqueness of the likelihood ratio as a uniformly most powerful test in certain contexts. It was introduced by Jerzy Neyman...

accurately by using a likelihood ratio for the test. Likelihood ratio is calculated from sensitivity and specificity of the test, and thereby it does not...

statistical method Neyman–Pearson lemma – Theorem about the power of the likelihood ratio test Sample size – Statistical considerations on how many observations...

In frequentist inference, the likelihood ratio is used in the likelihood-ratio test, but other non-likelihood tests are used as well. The Neyman–Pearson...

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...