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A study is conducted to investigate the association between income level and political party affiliation in the USA. Income level has 5 levels: Lowest (lowest 20-th percentile), low, middle, high, and very high (top 20-th percentile). Political party has 3 categories: Democratic (D), Independent (I), and Republican (R). A baseline category logit multinomial is fit on the 3 response categories using covariate of income level as ordinal (with scores 1, 2, 3, 4, and 5 for the categories lowest, low, middle, high and very high respectively). Base category of response is Independent. The fitted model is log(p/1) = 3.3-0.2x and log(R/1) = 1.0+ 0.3x, where x=1,2,3,4,5.

A study is conducted to investigate the association between income level and political party affiliation in the USA. Income level has 5 levels: Lowest (lowest 20-th percentile), low, middle, high, and very high (top 20-th percentile). Political party has 3 categories: Democratic (D), Independent (I), and Republican (R). A baseline category logit multinomial is fit on the 3 response categories using covariate of income level as ordinal (with scores 1, 2, 3, 4, and 5 for the categories lowest, low, middle, high and very high respectively). Base category of response is Independent. The fitted model is log(p/1) = 3.3-0.2x and log(R/1) = 1.0+ 0.3x, where x=1,2,3,4,5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 12PPS
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A study is conducted to investigate the association between income level and political party affiliation in the USA. Income level has 5 levels: Lowest (lowest 20-th percentile), low, middle, high, and very high (top 20-th percentile). Political party has 3 categories: Democratic (D), Independent (I), and Republican (R). A baseline category logit multinomial is fit on the 3 response categories using covariate of income level as ordinal (with scores 1, 2, 3, 4, and 5 for the categories lowest, low, middle, high and very high respectively). Base category of response is Independent. The fitted model is log(îp/î1) = 3.3 – 0.2x and log(îR/î1) = 1.0+ 0.3x, where x=1,2,3,4,5. iv a. Comparing chance of being Republican to Independent, interpret the effect of income level increases on the odds. b. For what income levels is îR > î1? c. How many coefficients does this ordinal covariate model have? Now say Income level is viewed as nominal (5 categories, with lowest being the base group). How many coefficients will this nominal covariate model have?
Transcribed Image Text:A study is conducted to investigate the association between income level and political party affiliation in the USA. Income level has 5 levels: Lowest (lowest 20-th percentile), low, middle, high, and very high (top 20-th percentile). Political party has 3 categories: Democratic (D), Independent (I), and Republican (R). A baseline category logit multinomial is fit on the 3 response categories using covariate of income level as ordinal (with scores 1, 2, 3, 4, and 5 for the categories lowest, low, middle, high and very high respectively). Base category of response is Independent. The fitted model is log(îp/î1) = 3.3 – 0.2x and log(îR/î1) = 1.0+ 0.3x, where x=1,2,3,4,5. iv a. Comparing chance of being Republican to Independent, interpret the effect of income level increases on the odds. b. For what income levels is îR > î1? c. How many coefficients does this ordinal covariate model have? Now say Income level is viewed as nominal (5 categories, with lowest being the base group). How many coefficients will this nominal covariate model have?
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