Chapter_12_13

Chapter_12_13 - Chapter 12 Two by two table for survey...

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Chapter 12 Two by two table for survey questions “What is your gender” and “Do you feel that female sports should receive the same level of monetary support as males get?” (NOTE: to start just look at the counts and inquire as to what students believe. Then point out that to make comparisons, unless the counts are equal for each condition, is difficult unless we have percentages. Tabulated statistics: Gender, SameLevel Rows: Gender Columns: SameLevel No Yes All Female 86 556 642 13.38 86.62 100.00 181.5 460.5 538.0 Male 201 172 373 53.88 46.12 100.00 105.5 267.5 339.0 All 287 728 1015 28.27 71.73 100.00 307.0 708.0 1015.0 Cell Contents: Count % of Row Expected count Chi-Sq = 190.735, DF = 1, P-Value = 0.000 Commonly the explanatory variable is placed on the row and the response variable on the vertical. So for this data Gender would be explaining the attitude toward monetary support. Conditional percents for rows are comprised by the taking a cell total divided by the row total; for columns this conditional percent is taken by cell total divided by column total. For example, of Females the conditional percent who said “Yes” to women receiving equal support is 556/642 = 86.62%; for Men this conditional percent who said “Yes” is 172/373 = 46.12%. As to columns, of those that said “Yes” the conditional percent that were Female is 556/728 = 76.37% Probability, Risk, and Odds If we randomly selected a student, what is probability that the student said “Yes”? 728/1015 = 0.7172 What is the risk that a randomly selected student said “Yes?” Again, 728/1015 = 0.7172 What is the proportion of those who said “Yes”? Again, 728/1015 = 0.7172 What is the percent of those who said “Yes”? Similarly 728/1015 = 0.7172 times 100% 71.72% As we can see, these four are equivalently saying the same thing just using different phrasing. 1
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What are the odds a person says “Yes”? This is now 728/ 287 which is approximately 2.5 to 1. Questions to class: What is probability that a Male says “Yes”? 172/373 = 0.4612 What is the risk that a Male says “Yes”? 172/373 = 0.4612 How about the proportion and percentage? Proportion also 0.4612 while the percentage is 46.12% What are the odds that a Male says Yes? 172/201 or roughly 7 to 8. How are the odds interpreted? We would say then that the odds of a Male saying Yes is 7 to 8; in other words, 7 of
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Chapter_12_13 - Chapter 12 Two by two table for survey...

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