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Ratio test information


In mathematics, the ratio test is a test (or "criterion") for the convergence of a series

where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d'Alembert and is sometimes known as d'Alembert's ratio test or as the Cauchy ratio test.[1]

  1. ^ Weisstein, Eric W. "Ratio Test". MathWorld.

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Ratio test

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In mathematics, the ratio test is a test (or "criterion") for the convergence of a series ∑ n = 1 ∞ a n , {\displaystyle \sum _{n=1}^{\infty }a_{n},} where...

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Likelihood ratios in diagnostic testing

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likelihood ratios are used for assessing the value of performing a diagnostic test. They use the sensitivity and specificity of the test to determine...

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Sequential probability ratio test

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

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also known as a "bit error ratio tester" or bit error rate test solution (BERTs) is electronic test equipment used to test the quality of signal transmission...

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Wald test

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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...

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Prothrombin time

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

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Convergence tests

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diverges. If r = 1, the ratio test is inconclusive, and the series may converge or diverge. This is also known as the nth root test or Cauchy's criterion...

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California bearing ratio

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Testing UK". cbrtesting.com. Retrieved 23 May 2019. Jamal, Haseeb. "CBR Test". AboutCivil.Org. Retrieved 23 September 2019. California Bearing Ratio Test...

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Odds ratio

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odds ratio (OR) is a statistic that quantifies the strength of the association between two events, A and B. The odds ratio is defined as the ratio of the...

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Microalbuminuria

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Root test

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5^{n}|}}={\sqrt {.5}}<1.} This example shows how the root test is stronger than the ratio test. The ratio test is inconclusive for this series if n {\displaystyle...

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Score test

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true, the likelihood ratio test, the Wald test, and the Score test are asymptotically equivalent tests of hypotheses. When testing nested models, the statistics...

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List of statistics articles

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ratio Lies, damned lies, and statistics Life expectancy Life table Lift (data mining) Likelihood function Likelihood principle Likelihood-ratio test Likelihood...

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Logrank test

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The logrank test, or log-rank test, is a hypothesis test to compare the survival distributions of two samples. It is a nonparametric test and appropriate...

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Bayes factor

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Bayes factor can be thought of as a Bayesian analog to the likelihood-ratio test, although it uses the integrated (i.e., marginal) likelihood rather than...

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Differential item functioning

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

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Amniotic fluid

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nitrazine paper test and fern test. One main test that is performed on amniotic fluid is the L/S ratio test (lecithin/sphingomyelin). This test is used to...

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Likelihood function

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

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Statistical hypothesis test

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of hypothesis testing says that a good criterion for the selection of hypotheses is the ratio of their probabilities (a likelihood ratio). A simple method...

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Binary classification

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(condition) ratios, yielding likelihood ratios in diagnostic testing. Taking the ratio of one of these groups of ratios yields a final ratio, the diagnostic...

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Normality test

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skewness and kurtosis tests generalize the moment tests to the multivariate case. Other early test statistics include the ratio of the mean absolute deviation...

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Ratio estimator

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used in experimental or survey work. The ratio estimates are asymmetrical and symmetrical tests such as the t test should not be used to generate confidence...

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