For more information, please see full course syllabus of Statistics

For more information, please see full course syllabus of Statistics

### Chi-Square Tests: One Way and Two Way

For a goodness of fit test, the degrees of freedom are

*ν*=*k*− 1 where*k*is the number of “groups.” This is always a right-tailed test.For a test of independence, the degrees of freedom are

*ν*= (*R*− 1)(*C*− 1) where*R*are the number of rows in the contingency table and*C*are the number of columns in the contingency table. The null hypothesis is always that the two attributes are independent.For a test of homogeneity, the degrees of freedom are

*ν*= (*R*− 1)(*C*−1) where*R*are the number of rows in the contingency table and*C*are the number of columns in the contingency table. The null hypothesis is always that the two or more populations are the same.

### Chi-Square Tests: One Way and Two Way

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Goodness of Fit Test 0:07
- Right-Tailed Test
- Example 1: Die Rolls 1:16
- Example 2: Stolen Vehicles 3:31
- Test of Independence 7:02
- Example 3: Debt 7:51
- Example 4: Contraceptive Use 13:14
- Test of Homogeneity 16:31
- Example 5: New Product 17:09
- Example 6: Oil 21:24

0 answers

Post by elida bani on July 2, 2012

Example 5:New Product

When calculating degree of freedom (v), should the expression in parenthesis be (4-1)instead of (4x1)?

0 answers

Post by Joyce Cheung on May 16, 2012

Chi-Square Tests: One Way and Two Way

For example 3: debt, what is the formula to calculate the expected value?

0 answers

Post by Matt Lin on March 18, 2012

What formula you used to calculate the Expected value?

0 answers

Post by Jamias Clark on August 4, 2011

i was wondering where doe the explanation start for the two way test? i think its the stolen car example but im not really sure.. Please help.

0 answers

Post by Beiquan Cao on April 24, 2010

In debt Example it should be 196 men, not 191 when listing the table.