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Article

Chi-square and Fisher’s exact tests

Amy Nowacki, PhD
Cleveland Clinic Journal of Medicine September 2017, 84 (9 suppl 2) e20-e25; DOI: https://doi.org/10.3949/ccjm.84.s2.04
Amy Nowacki
Department of Quantitative Health Sciences, Cleveland Clinic
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    FIGURE 1

    Example of a contingency table for 2 categorical variables, each with 2 levels (2 × 2 table).

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    FIGURE 2

    Study-specific hypothesis, study frequency counts, and resulting 2 × 2 contingency table. Patient numbers are from the Mrozek study.1 ARDS = acute respiratory distress syndrome

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    FIGURE 3

    Chi-square distribution with 1 degree of freedom. Area under the curve at the test statistic of 4.92 and values more extreme equals the P value of .027.

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    FIGURE 4

    Study-specific hypothesis and contingency table of lung morphology by Parkinson disease. Patient numbers are from the Mrozek study.1 ARDS = acute respiratory distress syndrome

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    FIGURE 5

    Hand calculations of the Fisher’s exact test. Note that all tables have the same row and column totals. The probabilities of each table are calculated according to the hypergeometric distribution. Tables deemed “more extreme” (ie, with probabilities < the observed table) are indicated with a +. The P value is obtained by summing the probabilities of the observed table and those more extreme.

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Cleveland Clinic Journal of Medicine: 84 (9 suppl 2)
Cleveland Clinic Journal of Medicine
Vol. 84, Issue 9 suppl 2
1 Sep 2017
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Chi-square and Fisher’s exact tests
Amy Nowacki
Cleveland Clinic Journal of Medicine Sep 2017, 84 (9 suppl 2) e20-e25; DOI: 10.3949/ccjm.84.s2.04

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Chi-square and Fisher’s exact tests
Amy Nowacki
Cleveland Clinic Journal of Medicine Sep 2017, 84 (9 suppl 2) e20-e25; DOI: 10.3949/ccjm.84.s2.04
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