Chi-square goodness of fit and independence

STA 112. Practice questions, not past papers.

Lessons

• Work with category counts
• Test association in a table

Practice questions

1. A goodness-of-fit chi-square test concerns what?

   Statistics study edition practice item Q218; Source: S55, S63-65

2. Under independence, a cell's expected count equals what?

   Statistics study edition practice item Q219; Source: S55, S63-65

3. For an r by c independence table, degrees of freedom equal what?

   Statistics study edition practice item Q220; Source: S55, S63-65

4. A significant chi-square independence result establishes what?

   Statistics study edition practice item Q221; Source: S55, S63-65

5. Four specified equally likely categories have observed counts 18,22,20,20. Find χ². Give the value to 4 decimal places.

   Statistics study edition practice item Q222; Source: S55, S63-64

6. For an independence test in a 3 by 4 table, find degrees of freedom.

   Statistics study edition practice item Q223; Source: S55, S63-64

7. A chi-square statistic sums squared O-E differences divided by _____.

   Statistics study edition practice item F072; Source: S55, S63-65

8. Independence-test expected counts use row total times column total divided by _____ total.

   Statistics study edition practice item F073; Source: S55, S63-65

Topic gap report