# mm9 - Chapter 9 Analysis of Two-Way Tables Two-way (i.e....

This preview shows pages 1–13. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 9 Analysis of Two-Way Tables Two-way (i.e. contingency) tables: to classify &amp; analyze categorical data: Binomial counts: success vs. failure Proportions: binomial count divided by total sample size Well later see that inference via two-way tables is an alternativewith advantages &amp; disadvantagesto the z-test for comparing two sample proportions: . prtest hsci, by(white) An advantage of two-way tables is that they can examine more than two variables. A disadvantage of two-way tables is that they can only do two-sided hypothesis tests. Heres a two-way table: . tab hsci white, cell Nonwhite White Total not hsci50 103 153 25.0% 51.5% 76.5% hsci 5 42 47 2.5% 21.0% 23.5% Total 55 145 200 27.5% 72.5% 100.0% Nonwhite White Total not hsci 50 103 153 25.0% 51.5% 76.5% hsci 5 42 47 2.5% 21.0% 23.5% Total 55 145 200 27.5% 72.5% 100.0% The row variable : hsci vs. not hsci. The column variable : white vs. nonwhite. Nonwhite White Total not hsci 50 103 153 25.0% 51.5% 76.5% hsci 5 42 47 2.5% 21.0% 23.5% Total 55 145 200 27.5% 72.5% 100.0% Cells : each combination of values for the two variables (50, 103, 5, 42). Nonwhite White Total not hsci50 103 153 25.0% 51.5% 76.5% hsci 5 42 47 2.5% 21.0% 23.5% Total 55 145 200 27.5% 72.5% 100.0% J oint distributions : Each cells percentage of the total sample (50/200=.250; 103/200=.515; 5/200=.025; 42/200=.210). Nonwhite White Total not hsci50 103 153 25.0% 51.5% 76.5% hsci 5 42 47 2.5% 21.0% 23.5% Total 55 145 200 27.5% 72.5% 100.0% The marginal frequencies : the row totals (153, 47) &amp; the column totals (55, 145). Nonwhite White Total not hsci50 103 153 25.0% 51.5% 76.5% hsci 5 42 47 2.5% 21.0% 23.5% Total 55 145 200 27.5% 72.5% 100.0% The marginal distributions : each row total/sample total (76.5%, 23.5%). Each column total/sample total (27.5%, 72.5%). Here are the same data displayed as column conditional probabilities : . tab hsci white, col nofreq nonwhite white Total no 90.91% 71.03% 76.5% yes 9.09% 28.97% 23.5% Total 100.0% 100.% 100.00% The conditional distributions (i.e conditional probabilities) : Columndivide each column cell count by its column total count. Here are the same data displayed as row conditional probabilities...
View Full Document

## This note was uploaded on 07/11/2011 for the course SYA 6305 taught by Professor Tardanico during the Fall '08 term at FIU.

### Page1 / 68

mm9 - Chapter 9 Analysis of Two-Way Tables Two-way (i.e....

This preview shows document pages 1 - 13. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online