In statistical hypothesis testing, a uniformly most powerful (UMP) test is a hypothesis test which has the greatest power 1 − β {\displaystyle 1-\beta...
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Power (statistics) (redirect from Underpowered (power of a test))
test Sample size – Statistical considerations on how many observations to makePages displaying short descriptions of redirect targets Uniformly most powerful...
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chi-squared test. Fisher information Uniformly most powerful test Score (statistics) Sup-LM test Rao, C. Radhakrishna (1948). "Large sample tests of statistical...
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Neyman–Pearson lemma (category Statistical tests)
describes the existence and uniqueness of the likelihood ratio as a uniformly most powerful test in certain contexts. It was introduced by Jerzy Neyman and Egon...
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hypothesis test in which the test statistic follows a Student's t-distribution under the null hypothesis. It is most commonly applied when the test statistic...
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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...
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η(θ) is non-decreasing. As a consequence, there exists a uniformly most powerful test for testing the hypothesis H0: θ ≥ θ0 vs. H1: θ < θ0. Exponential families...
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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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given value of the parameter(s) being tested, contained in the alternative hypothesis. Uniformly most powerful test (UMP) Bootstrap-based resampling methods...
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the test statistic (see Test with estimated parameters). Various studies have found that, even in this corrected form, the test is less powerful for testing...
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with extremely low levels of heavier elements Uniformly most powerful test, in statistical hypothesis testing Uridine monophosphate, a nucleotide Utility...
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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...
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Multivariate normal distribution (redirect from Mardia's test)
data. Multivariate normality tests include the Cox–Small test and Smith and Jain's adaptation of the Friedman–Rafsky test created by Larry Rafsky and Jerome...
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Epps and Pulley, Henze–Zirkler, BHEP test). The energy and the ECF tests are powerful tests that apply for testing univariate or multivariate normality...
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dominance, Dunn's test, pairwise Mann–Whitney tests with Bonferroni correction, or the more powerful but less well known Conover–Iman test are sometimes used...
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lemma states that this likelihood-ratio test is the most powerful among all level α {\displaystyle \alpha } tests for this case. The likelihood ratio is...
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Likelihood-ratio test Wald test Score test Sequential probability ratio test Uniformly most powerful test Exact test Confidence interval Prediction interval...
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Jackknife Testing hypotheses 1- & 2-tails Power Uniformly most powerful test Permutation test Randomization test Multiple comparisons Parametric tests Likelihood-ratio...
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Monotone likelihood ratio (category Statistical hypothesis testing)
variables has the MLRP in T ( X ) , {\displaystyle \ T(X)\ ,} a uniformly most powerful test can easily be determined for the hypothesis H 0 : θ ≤ θ...
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Multiple comparisons problem (redirect from Multiple testing)
the Holm–Bonferroni method, which uniformly delivers more power than the simple Bonferroni correction, by testing only the lowest p-value ( i = 1 {\displaystyle...
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Parametric statistics (redirect from Parametric test)
Suppose that we have a sample of 99 test scores with a mean of 100 and a standard deviation of 1. If we assume all 99 test scores are random observations from...
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significance testing: as F becomes so small that the group means are much closer together than we would expect by chance, a significance test might indicate...
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it aims to test whether this center value differs significantly from zero. The Wilcoxon test is a more powerful alternative to the sign test because it...
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Binary classification (redirect from Binary test)
variable. Tests whose results are of continuous values, such as most blood values, can artificially be made binary by defining a cutoff value, with test results...
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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 multiple...
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Granger causality (redirect from Granger test)
The Granger causality test is a statistical hypothesis test for determining whether one time series is useful in forecasting another, first proposed in...
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is the diagnostic test or benchmark that is the best available under reasonable conditions. It is the test against which new tests are compared to gauge...
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are ranked but not numerical (e.g. working out a median grade when student test scores are graded from F to A), although the result might be halfway between...
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67 and not be normally distributed (so the above test would produce a false positive). A better test of normality, such as Q–Q plot would be indicated...
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below. Permutation tests provide a direct approach to performing hypothesis tests and constructing confidence intervals. A permutation test for Pearson's correlation...
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