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Statistical hypothesis test information


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A statistical hypothesis test is a method of statistical inference used to decide whether the data sufficiently support a particular hypothesis. A statistical hypothesis test typically involves a calculation of a test statistic. Then a decision is made, either by comparing the test statistic to a critical value or equivalently by evaluating a p-value computed from the test statistic. Roughly 100 specialized statistical tests have been defined.[1][2]

  1. ^ Lewis, Nancy D.; Lewis, Nigel Da Costa; Lewis, N. D. (2013). 100 Statistical Tests in R: What to Choose, how to Easily Calculate, with Over 300 Illustrations and Examples. Heather Hills Press. ISBN 978-1-4840-5299-0.
  2. ^ Kanji, Gopal K. (18 July 2006). 100 Statistical Tests. SAGE. ISBN 978-1-4462-2250-8.

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Statistical hypothesis test

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A statistical hypothesis test is a method of statistical inference used to decide whether the data sufficiently support a particular hypothesis. A statistical...

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Test statistic

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Test statistic is a quantity derived from the sample for statistical hypothesis testing. A hypothesis test is typically specified in terms of a test statistic...

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Statistical significance

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In statistical hypothesis testing, a result has statistical significance when a result at least as "extreme" would be very infrequent if the null hypothesis...

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Power of a test

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statistics, the power of a binary hypothesis test is the probability that the test correctly rejects the null hypothesis ( H 0 {\displaystyle H_{0}} ) when...

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Null hypothesis

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statistical noise. The statement being tested in a test of statistical significance is called the null hypothesis. The test of significance is designed to assess...

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Permutation test

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A permutation test (also called re-randomization test or shuffle test) is an exact statistical hypothesis test making use of the proof by contradiction...

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Alternative hypothesis

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In statistical hypothesis testing, the alternative hypothesis is one of the proposed proposition in the hypothesis test. In general the goal of hypothesis...

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Hypothesis

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statistical hypothesis testing, two hypotheses are compared. These are called the null hypothesis and the alternative hypothesis. The null hypothesis...

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Multiple comparisons problem

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Using a statistical test, we reject the null hypothesis if the test is declared significant. We do not reject the null hypothesis if the test is non-significant...

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Type I and type II errors

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In statistical hypothesis testing, a type I error, or a false positive, is the rejection of the null hypothesis when it is actually true. For example,...

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Wald test

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tests are generally unknown,: 138  it has an asymptotic χ2-distribution under the null hypothesis, a fact that can be used to determine statistical significance...

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Uniformly most powerful test

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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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Normality test

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variable. In frequentist statistics statistical hypothesis testing, data are tested against the null hypothesis that it is normally distributed. In Bayesian...

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False positives and false negatives

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negative) diagnosis, and in statistical classification as a false positive (or false negative) error. In statistical hypothesis testing, the analogous concepts...

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Portmanteau test

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portmanteau test is a type of statistical hypothesis test in which the null hypothesis is well specified, but the alternative hypothesis is more loosely...

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Data dredging

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key point in proper statistical analysis is to test a hypothesis with evidence (data) that was not used in constructing the hypothesis. This is critical...

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Location test

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A location test is a statistical hypothesis test that compares the location parameter of a statistical population to a given constant, or that compares...

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List of statistical tests

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Statistical tests are used to test the fit between a hypothesis and the data. Choosing the right statistical test is not a trivial task. The choice of...

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