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# Test of Independence

## Construct a table of values that you would expect to see if the variables were independent.

Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.
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## Test of Independence

by CK-12 //advanced

This Concept covers the chi-square test of independence and the homogeneity test.

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## Test Requiring the Chi-Square Distribution

by CK-12 //advanced

Learn the different types of chi-square tests and what type to use in any given situation.

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## Example of a Chi-Square Test of Homogeneity

by CK-12 //advanced

Gives step-by-step instructions on how to execute a chi-square test of homogeneity to see if the incomes of females and males in your state are the same or not.

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## Example of Chi-Square Test of Independence

by CK-12 //advanced

Learn how to use a chi-square test of independence to figure out whether two things are independent or not.

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## Table: Chi-Square Probabilities

by CK-12 //advanced

A table of chi-squared probabilities.

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## Contingency Table Applet

by CK-12 //advanced

A simulation that automatically calculates chi-squared values for contingency tables.

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