Hypothesis Testing: Chi-squared Test for Independece

What is Chi-squared Test for Independence?

Chi-squared independence test is an inferential technique to assess the association between two categorical variables.

Chi-squared independence test assesses the association between two categorical variables based on observed data assuming that the observations are representative of the population of interest and independent. Further, the data must be meet certain sample size conditions, otherwise we use Fisher's test.

Chi-squared independence test compares the observed data with what we expect under the null hypothesis: the variables are independent. The resulting p-value tells us how likely it is to observe the evidence we have for the alternative hypothesis or more when the null hypothesis is true. If the p-value is less than the specified significance level (e.g., less than 0.05), we reject the null hypothesis in favor of the alternate hypothesis. In that case, chi-square's proportion Test indicates that we have significant evidence that the variables are dependent Otherwise, we fail to reject the null hypothesis, indicating we do not have significant evidence that the variables are dependent.

How to use this app?

Step 1: To use this app, go to the Dataset and Hypothesis Tab and upload your .csv type dataset.

Step 2: You can check the assumptions provided in the 'Summary & Assumptions Check' tab. .

Step 3: You can check the result of the chi-squared test (test statistics, decision making, and test visualization) in the 'Hypothesis Test' tab.

Contact us

Please contact us if you have any questions at datascience@colgate.edu.

Example 1

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Assumptions

Make sure that you satisfy all the assumptions for k-sample proportion test

Observations are representative of the population and independent. Samples are mutually independent.

The expected counts are greater than 5.

Graphical Summary

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Numerical Summary

LaTeX

Graphical Summary

Height

Width

Units

Format

Download

Numerical Summary

LaTeX

Hypothesis Test Details

Interpretation

References

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Hypothesis Testing: Chi-squared Test for Independece

What is Chi-squared Test for Independence?

How to use this app?

Contact us

Coming Soom...

Options:

Assumptions

Make sure that you satisfy all the assumptions for k-sample proportion test

Graphical Summary

Numerical Summary

Graphical Summary

Numerical Summary

Hypothesis Test Details

Interpretation

References