Question

What are the range of values a chi square can take?What values of chi square should be expected when the null hypothesis is true?

What are the assumptions of a chi square test? Can the same people be counted in multiple categories? What is the minimum expected frequency for each cell?

If a chi square test is significant does that mean the effect is large?

Answer 1

What are the range of values a chi square can take?

The range of chi square is from 0 to infinity.

What values of chi square should be expected when the null hypothesis is true?

The expected values of chi square when the null hypothesis is true should be smaller than the critical value which depends on degree of freedom.

What are the assumptions of a chi square test?

The assumptions of a chi square test are -

• The sampling method is simple random sampling.
• The variable under study is  categorical.
• The expected value of the number of sample observations in each  level of the variable is at least 5.

Can the same people be counted in multiple categories?

Yes same people can be be counted in multiple categories

What is the minimum expected frequency for each cell?

The minimum expected frequency for each cell should be 5.

If a chi square test is significant does that mean the effect is large

Yes, effect size increases with increase in chi-square (significant chi-square)