Chi Squared

Question 1

What is the hypothesis for a goodness-of-fit test?

Answer 1

Ho: The data is consistent with given proportions
Ha: The data is not consistent with given proportions

Question 2

<p>What are you testing for in Homogeneity?</p>

Answer 2

<p>Test whether proportions are the same for different populations.</p>

Question 3

<p><p>(# of rows - 1)(# of columns -1)</p>
</p>

Answer 3

<p><p>degrees of freedom for chi squared test for independence and homogeneity</p>
</p>

Question 4

<p><p>Σ(O-E)²/E</p>

| </p>

Answer 4

<p><p>test statistic for chi squared test for independence</p>
</p>

Question 5

<p><p>another test that allows you to see if two variables are independent of each other</p>
</p>

Answer 5

<p><p>chi squared test for independence</p>
</p>

Question 6

<p><p>general null hypothesis for chi squared test for independence</p>
</p>

Answer 6

<p><p>H_o: The variables are independent of each other.</p>
</p>

Question 7

<p><p>general alternatehypothesis for chi squared test for independence</p>
</p>

Answer 7

<p><p>H_a: The variables are dependent oneach other.</p>
</p>

Question 8

<p>What must you do before stating hypothesis for homogeneity?</p>

Answer 8

<p>Identify the populations and parameters to test.</p>

Question 9

<p>Hypothesis for homogeneity?</p>

Answer 9

<p>H_o: p_x=p_y=p_z=...</p>

<p>Ha: At least one of the parameters is different.</p>

Question 10

<p>Conclusion should include what?</p>

Answer 10

<p>-Compare p-value to significant level.

- Reject or accept alternative.
- Context!</p>

Question 11

<p>Conditions for Independence and Homogeneity</p>

Answer 11

<p>Oberservations from SRS</p>

<p>All expected counts > 1</p>

<p>No more than 20% of the expected counts are < 5</p>

<p><strong>(Must include table of expected counts)</strong></p>

Question 12

What are the conditions for a goodness-of-fit test?

Answer 12

• Observations taken from SRS
• All expected counts > 1
• No more than 20% of expected counts