Test For Independence Flashcards
What is the purpose of the chi-square test for independence?
To determine if there is a relationship between two categorical variables.
What does the null hypothesis (H0) state in the chi-square test for independence?
The two variables are independent of one another.
What does the alternative hypothesis (Ha) state in the chi-square test for independence?
The two variables are related.
What type of table is used to present frequencies for two nominal variables?
Contingency table.
How is the degrees of freedom (df) calculated for the chi-square test for independence?
df=(k1−1)(k2−1)
What does the expected frequency (E) represent in the chi-square test?
Outcomes likely if the two variables are completely independent.
How is the expected frequency (E) calculated for each cell?
E=(RowTotal)(ColumnTotal)/n
What is the significance of the marginal values in the expected frequencies?
They should be the same for both observed and expected frequencies.
What decision is made if the calculated chi-square statistic is greater than the critical value?
Reject the null hypothesis.
What is the effect size coefficient used for 2 x 2 contingency tables?
ϕ (phi) coefficient.
What effect size measure is used for contingency tables larger than 2 x 2?
Cramer’s V.
