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Goodness-of-Fit Tests

2001
Goodness-of-fit techniques are essential for determining whether hypothetical models fit observed data. When at all reasonable, exact tests are preferred to either nonasymptotic or, especially, asymptotic tests. In addition, the structures of these tests yield entirely different detection capabilities for varying alternatives. A selection of techniques
Paul W. Mielke, Kenneth J. Berry
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Length tests for goodnesss-of-fit

Biometrika, 1991
Consider an i.i.d. sample X 1,..., X n with distribution function F, which throughout is assumed to be twice continuously differentiable with support [0,1] and strictly positive derivative on [0,1]. Denote by $$0={X_{0:n}}\leqslant {X_{1:n}}\leqslant\cdots\leqslant{X_{n:n}}\leqslant{X_{n+1:n}}=1$$ (1) the order statistics, and the spacings by
Reschenhofer, Erhard, Bomze, Immanuel
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Goodness-of-Fit Tests

2011
Goodness-of-fit tests are batteries of tests that test that the distribution of a sample is equal to some fixed-in-advance distribution. We already saw Q–Q plots in Chap. 5 where the samples were compared to some theoretical distributions but in a descriptive fashion, without formal inference.
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Testing Goodness of Fit

2022
E. L. Lehmann, Joseph P. Romano
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»Smooth test» for goodness of fit

Scandinavian Actuarial Journal, 1937
Abstract Dedicated to the memory of Karl Pearson (27 March 1857—27 April 1936) who originated the problem of a test for goodness of fit and was first to advance its solution.
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Goodness-of-fit tests

2023
N. Balakrishnan   +2 more
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Tests of goodness of fit

1999
Tests of goodness of fit are one particular instance of the methods applied to the analysis of frequency tables in chapter 15. Tests of goodness of fit may be used to check the hypothesis that a continuous or discontinuous variate X follows a specified theoretical probability distribution such as the normal distribution (chapter 5), the lognormal ...
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Goodness-of-Fit Testing

2010
A. Maydeu-Olivares, C. García-Forero
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Considerations for diagnostic COVID-19 tests

Nature Reviews Microbiology, 2020
Olivier Vandenberg   +2 more
exaly  

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