The $\chi^2$ Test of Goodness of Fit

From MaRDI portal
Publication:5812591

DOI10.1214/aoms/1177729380zbMath0047.13105OpenAlexW2018913979WikidataQ56170501 ScholiaQ56170501MaRDI QIDQ5812591

William G. Cochran

Publication date: 1952

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177729380



Related Items

The Tale of Cochran's Rule: My Contingency Table has so Many Expected Values Smaller than 5, What Am I to Do?, Test for conditional odds ratio in matching pairs inverse sampling design, Contribution à l'analyse statistique des tableaux de corrélation, Evaluation of an analytic, approximate formula for the time-varying SIS prevalence in different networks, Allgemeiner Bericht über Monte-Carlo-Methoden, A group sequential type design for three-arm non-inferiority trials with binary endpoints, Asymptotic power comparison of the chi-square and likelihood ratio tests, A new correlation coefficient between categorical, ordinal and interval variables with Pearson characteristics, Applying statistical criteria to choose optimal metaparameters in gene fragment recognition, A NEW TEST OF UNIFORMITY BASED ON OVERLAPPING SAMPLE SPACINGS, APPROXIMATIONS TO POWERS OF φ-DISPARITY GOODNESS-OF-FIT TESTS*, A new class of multivariate goodness of fit tests for multivariate normal mixtures, THE CONSTRUCTION OF THE SIMPLE X2AND NEYMAN SMOOTH GOODNESS OF FIT TESTS, Three centuries of categorical data analysis: Log-linear models and maximum likelihood estima\-tion, Application of tests of chi-square type, A maximum entropy type test of fit, Improved likelihood ratio tests and pearson chi-square tests for independence in two dimensional contingency tables, Asymptotic \(Z\) and chi-squared tests with auxiliary information, A Heteroskedasticity-RobustF-Test Statistic for Individual Effects, Discrete Weibull distribution: different estimation methods under ranked set sampling and simple random sampling, A survey of two stage tests of hypotheses: theory and application, A general family of limited information goodness-of-fit statistics for multinomial data, Chi-Squared Goodness-of-Fit Tests: Cell Selection and Power, Convergence rates and powers of six power-divergence statistics for testing independence in 2 by 2 contingency table, Der 'Median-Quartile-Test': Ein Verfahren zur nichtparametrischen Prüfung zweier unabhängiger Stichproben auf unspezifizierte Verteilungsunterschiede, The conditional spacings and their stochastic properties, Testing for a Santa Claus effect in growth cycles, On the confidence region for the one-sample \(\chi^2\)-test, Improved likelihood ratio test for multinomial goodness of fit, To copatent or not to copatent: an agent-based model for firms facing this dilemma, Pearson's goodness-of-fit tests for sparse distributions, Normal approximation for Bayesian mixed effects binomial regression models, Unnamed Item, In praise (and search) of J. V. Uspensky, Some improvements in confidence intervals for standardized regression coefficients, Comparison of tests for association of 2 × 2 tables under multiple testing setting, On conditional spacings and their properties under coherent system setting, Patch area and uniform sampling on the surface of any ellipsoid, On the small sample distribution and power of the log likelihood ratio and variance tests for the poisson, Smoothing of likelihood ratio statistic for equiprobable multinomial goodness-of-fit, Statistical analysis of C‐DNA microarray data for sample clustering and gene identification, An empirical goodness-of-fit test for multivariate distributions, Approximations for the non-null distribution of the pearsonx2statistic, The multi-mode resource investment problem: a benchmark library and a computational study of lower and upper bounds, Quadratic forms in Poisson and multi-nomial variables, Some deficiencies of \(\chi^2\) and classical exact tests of significance, WAVELET-BASED FEATURE EXTRACTION FOR MORTALITY PROJECTION, A two-parameter general inflated Poisson distribution: properties and applications, The Jensen-Shannon divergence, Power comparisons in contingency tables, A reformulation of Pearson's Chi-square statistic and some extensions, A goodness-of-fit test for overdispersed binomial (or multinomial) models, A heteroskedasticity robust Breusch-Pagan test for contemporaneous correlation in dynamic panel data models, A new goodness of fit test for multivariate normality, Estimate-based goodness-of-fit test for large sparse multinomial distributions, The choice of the number of bins for the \(M\) statistic, A stepwise algorithm for selecting category boundaries for the chi-squared goodness-of-fit test, The Pearson Score Statistic for Multinomial-Poisson Models, Limited information goodness-of-fit testing in multidimensional contingency tables, A new empirical test for parallel pseudo-random number generators, Testing the equality of distributions of random vectors with categorical components., Bootstrap Tests of Nonnested Hypotheses: Some Further Results, The \(K_{\varphi}\)-divergence statistic for categorical data problems, Stepwise information analysis of factors related to disease incidence and prognosis, Robust Wald-type tests for non-homogeneous observations based on the minimum density power divergence estimator, Hardware simulation of semi-Markov and related processes. I: A versatile generator, In dispraise of the exact test: Do the marginal totals of the \(2\times 2\) table contain relevent information respecting the table proportions?, Consistency of chi-squared test with varying number of classes, Density estimation with distribution element trees, Power studies of some tests for uniformity, On the Use of Historical Control Information for Trend Test in Carcinogenesis, Probability Models and the Applicability of Statistical Procedures in the Identification of Chromosomal Fragile Sites, Marginal information for structure learning, A Brief Derivation of the Asymptotic Distribution of Pearson’s Statistic and an Accurate Approximation to Its Exact Distribution, On the reliability of the chi-square test, Evidence for goodness of fit in Karl Pearson chi-squared statistics, Reliability for the law of comparative judgement, Simple statistical methods for scalogram analysis, Elementarer Beweis für die asymptotische \(\chi^2\)-Verteilung, On Burbea-Rao divergence based goodness-of-fit tests for multinomial models, Limiting conditional distribution for tests of independence in the two way table, Contributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests. (With comments), Quantiles via moments, A supplement to sowey's bibliography on random number generation and related topics, Restricted recalibration of item response theory models, A censored mixture model for modeling risk taking, Negative exponential disparity based family of goodness-of-fit tests for multinomial models, Improved confidence intervals based on ranked set sampling designs within a parametric bootstrap approach, Accuracy limitations and the measurement of errors in the stochastic simulation of chemically reacting systems, A modifiedX2test when some cells have small expectations in the multionmial distribution, Die Irrtumswahrscheinlichkeit des ? 2-Testes im Grenzfall der Poissonverteilung, Determination of model fitting with power-divergence-type measure of departure from symmetry for sparse and non-sparse square contingency tables, A survey of algorithms for exact distributions of test statistics in r\(\times c\) contingency tables with fixed margins, On disparity based goodness-of-fit tests for multinomial models, The Poisson and chi-squared approximations as compared with the true upper-tail probability of Pearson's \(X^ 2\) for equiprobable multinomials