Download presentation

Presentation is loading. Please wait.

Published bySofia O'Connell Modified over 3 years ago

1
1 2 Test for Independence 2 Test for Independence

2
2 Data Types

3
3 Hypothesis Tests Qualitative Data

4
4 2 Test of Independence 2 Test of Independence 1.Shows If a Relationship Exists Between 2 Qualitative Variables, but does Not Show Causality 2.Assumptions Multinomial Experiment All Expected Counts 5 3.Uses Two-Way Contingency Table

5
5 2 Test of Independence Contingency Table 2 Test of Independence Contingency Table 1.Shows # Observations From 1 Sample Jointly in 2 Qualitative Variables 1.Shows # Observations From 1 Sample Jointly in 2 Qualitative Variables

6
6 2 Test of Independence Contingency Table 2 Test of Independence Contingency Table 1.Shows # Observations From 1 Sample Jointly in 2 Qualitative Variables Levels of variable 2 Levels of variable 1

7
7 2 Test of Independence Hypotheses & Statistic 2 Test of Independence Hypotheses & Statistic 1.Hypotheses H 0 : Variables Are Independent H 0 : Variables Are Independent H a : Variables Are Related (Dependent) H a : Variables Are Related (Dependent)

8
8 2 Test of Independence Hypotheses & Statistic 2 Test of Independence Hypotheses & Statistic 1.Hypotheses H 0 : Variables Are Independent H a : Variables Are Related (Dependent) 2.Test Statistic Observed count Expected count

9
9 2 Test of Independence Hypotheses & Statistic 2 Test of Independence Hypotheses & Statistic 1.Hypotheses H 0 : Variables Are Independent H a : Variables Are Related (Dependent) 2.Test Statistic Degrees of Freedom: (r - 1)(c - 1) Rows Columns Observed count Expected count

10
10 Expected Count Example

11
11 Expected Count Example 112 160 Marginal probability =

12
12 Expected Count Example 112 160 78 160 Marginal probability =

13
13 Expected Count Example 112 160 78 160 Marginal probability = Joint probability = 112 160 78 160

14
14 Expected Count Example 112 160 78 160 Marginal probability = Joint probability = 112 160 78 160 Expected count = 160· 112 160 78 160 = 54.6

15
15 Expected Count Calculation

16
16 Expected Count Calculation

17
17 Expected Count Calculation 112x82 160 48x78 160 48x82 160 112x78 160

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google