Chi-Square Test
Definition
A statistical test used to determine if there is a significant association between two categorical variables. It compares the observed frequencies with the expected frequencies under the assumption of independence.
Analogy
Imagine you have a bag of colored marbles and you want to know if there is any relationship between the color of the marble and its size. The chi-square test would help you determine if there is a significant association between these two variables.
Related terms
Degrees of Freedom: The number of categories minus one in a chi-square test.
Contingency Table: A table that displays the observed frequencies for each combination of categories in a chi-square test.
Null Hypothesis: The assumption that there is no association between the variables being tested in a chi-square test.
"Chi-Square Test" appears in:
Study guides (3)
Practice Questions (18)
For a Chi-square test with 7 categories, how many degrees of freedom are there for this test?
The chi-square test statistic for a goodness of fit test is calculated by:
Which of the following does not affect the expected counts for a chi-square test?
What are the appropriate hypotheses for a chi-square test for homogeneity?
When is a chi-square test for independence appropriate?
Which test statistic is used to carry out a chi-square test for homogeneity or independence?
How do you calculate the degrees of freedom for a chi-square test?
How is the p-value calculated in a chi-square test?
What does a p-value less than 0.05 indicate in a chi-square test?
When can we conclude there is convincing evidence of an association between two variables in a chi-square test for independence?
In a chi-square test for homogeneity, what are we comparing?
Which formula is used to calculate the chi-square statistic in a chi-square test?
What is the role of the observed frequencies in a chi-square test?
What is the purpose of the χ2 value in a chi-square test?
Which is the correct formula for calculating the degrees of freedom in a chi-square test?
What does a p-value greater than 0.05 indicate in a chi-square test for independence?
How does a larger sample size affect the χ2 statistic in a chi-square test?
What does a small χ2 statistic indicate in a chi-square test for homogeneity?
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