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Pearson's chi-squared test

Pearson's chi-squared test or Pearson's χ 2 {\displaystyle \chi ^{2}} test is a statistical test applied to sets of categorical data to evaluate how likely it is that any observed difference between the sets arose by chance. It is the most widely used of many chi-squared tests (e.g., Yates, likelihood ratio, portmanteau test in time series, etc.) –…

Usage, Test for fit of a distribution & Derivation

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Overview

Procedure

Usage

Test for fit of a distribution

Testing for statistical independence

Assumptions

Derivation

Examples

Pitfalls of the test

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Pearson's chi-squared test

Nodes71
Edges70
Triples19
Avg. degree1.97
Density0.028169
Components1

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Pearson's chi-squared test

Top relations

related to Procedure · 9
Pearson's chi-squared test → Before, Categorical, If, IID, Multinomial, That, The, The Pearson's, They
related to Fairness of dice · 3
Pearson's chi-squared test → Is, Pearson's, The
related to Usage · 1
Pearson's chi-squared test → Pearson's

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Important terminology

displaystyle test distribution statistic chi-squared chi number hypothesis sum frac freedom null observed frequencies degrees observations value expected table probability

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
routine check-ups.Bayesian methodIn Bayesian statisticsinstance ofThis finding may suggest that higher educational attainment is associated with a greater likelihood of engaging in health-promoting behaviors0.80text
one would instead use a Dirichlet distribution as conjugate priorinstance ofThis finding may suggest that higher educational attainment is associated with a greater likelihood of engaging in health-promoting behaviors0.80text
routine check-upsinstance ofThis finding may suggest that higher educational attainment is associated with a greater likelihood of engaging in health-promoting behaviors0.80text
purposive samplinginstance ofOther forms can be used0.80text
Boschloo's test which do not make this assumption are uniformly more powerful.In Pearson's test of homogeneityinstance ofalternatives0.80text
if all entries of a matrix Ainstance ofalternatives0.80text
Pearson's chi-squared testrelated to Fairness of diceThe0.60section
Pearson's chi-squared testrelated to Fairness of diceIs0.60section
Pearson's chi-squared testrelated to Fairness of dicePearson's0.60section
Pearson's chi-squared testrelated to ProcedureThe0.60section
Pearson's chi-squared testrelated to ProcedureBefore0.60section
Pearson's chi-squared testrelated to ProcedureThey0.60section

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