Chi-Square Tests
The chi-square test is a statistical hypothesis test that is used to compare observed and expected counts in a contingency table. Its uses include: tests for independence, tests for homogeneity, and tests for goodness-of-fit.
Resources
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Sampling distribution of a chi-square statistic:
Chi-Square Contingency Analysis
This applet allows users to conduct a chi-square test using a dataset displayed in a contingency table. Simulated results show the resulting sampling distribution of the chi-square test statistics.
Developed by Michael Whitlock at The University of British Columbia.
License: CC0.
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Understanding the chi-square distribution:
Chi-Square Distribution
This applet allows users to drag the slider to change the chi-square distribution's degrees of freedom. After changing the degrees of freedom, users can see the distribution and the critical value for the right 5% tail.
Author: © 2022 Milan Valasek, University of Sussex.
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Calculating probabilities on a chi-square distribution:
Chi-Square Distribution Calculator
This web calculator allows users to specify the degrees of freedom (ν) and number of random variables (x). After finishing the steps, the calculator will show a plot of the chi-square distribution and the value of μ, σ and σ2. The calculator includes instructions, which can be accessed via the "Help" button.
Author: © 2021 Matt Bognar, Department of Statistics and Actuarial Science, University of Iowa.