Chi Squared Flashcards
When should you use Chi Squared?
Categorical Variables
What does Chi Squared measure?
the significance of the observed association amongst variables
What is asscociation?
- The degree of dependency between two variables X and Y
- Or: How much is variation in X related to variation in Y?
- Or: Does knowing the value of X give you any help in predicting Y’s value?
- e.g.: Does knowing X (sex) = male, help us predict Y (opinion on drug policy)?
How is Association between/among categorical data displayed?
Contingency tables - displays the data in rows and columns, to display number of observations for each category of each variable.
What steps should you take to peform a chi squared?
- Sum all rows and column of contingency table in both directions (observed data)
- Calculate the expected frequencies under null (if there were no differences)
- Calculate the chi-squared
- Calculate degrees of freedom
How do you calculate degrees of freedom for Chi Squared?
DF = (rows-1)*(columns-1)
When would you reject the null hypothesis?
When the value of C-squared is higher than the critical value
What is the p-value called on a chi sqaured SPSS output?
Asymp. Sig.
When would be reject the null hypothesis using Asymp. Sig. in the SPSS output?
If it is below 0.05
What are Phi and Cramers V
values which explore the association between categorical (nominal-nominal or nominal-ordinal) variables