FRADE_STA5168_HW5

FRADE_STA5168_HW5 - Jaime Frade STA5168 Dr. Niu: HW5 8.2 a)...

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Jaime Frade STA5168 Dr. Niu: HW5 8.2 a) Home President Busing Yes (1) No (2) Don’t Know(3) Yes Yes 41.945197 63.760672 0.2941318 No 69.087698 159.64184 0.2704591 Don't Know 1.9671055 15.597485 0.4354091 No Yes 1.0548033 5.9451967 2.602E-10 No 4.9123022 42.087698 6.766E-10 Don't Know 0.0328945 0.9671055 2.562E-10 Don’ Know Yes 5.631E-10 3.2941318 0.7058682 No 1.0426E-09 9.2704591 0.7295409 Don't Know 1.427E-11 0.4354091 0.5645909 Estimated conditional odds ratio for BD 52010658 . 1 ) 087698 . 69 )( 76072 . 63 ( ) 64184 . 159 )( 945197 . 41 ( = The odds of favoring of busing of (Negro/Black) and white school children from one school district to another for those who had anyone in their family brought a friend who was a (Negro/Black) home for dinner during last few years are estimated to be 1.52 times the odds of favoring of busing for who had not have anyone dinner with Black at home given that they would vote for Black president. Estimated conditional odds ratio for BP 82745212 . 2 ) 087698 . 69 )( 0548033 . 1 ( ) 9123022 . 4 )( 945197 . 41 ( = Given that people had anyone in their family brought a friend who was a Black home for dinner, the odds of favoring of busing of Black and white school children from one school district to another for those who would vote for Black for President if that person is nominated are estimated to be 2.82 times the odds of favoring of busing for those who would not vote Black for President. Estimated conditional odds ratio for BP 70787006 . 3 ) 760672 . 63 )( 0548033 . 1 ( ) 92451967 . 5 )( 945197 . 41 ( = Given that people favor busing of (Negro/Black) and white school children from one school district to another, the odds of having anyone in your family brought a friend who was a (Negro/Black) home for dinner for those who would vote for Black President if he were qualified for the job estimated to be 3.71 times the odds of having anyone in your family brought a friend who was a (Negro/Black) home for dinner for those who would not vote for Black for President if he were qualified for the job.
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STA5168 Dr. Niu: HW5 8.2 b) Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 8 14.8625 1.8578 Scaled Deviance 8 14.8625 1.8578 Pearson Chi-Square 8 36.3768 4.5471 Scaled Pearson X2 8 36.3768 4.5471 Log Likelihood 1343.3612 G 2 =14.8625 so 2 χ with df=8 p-value = 0.0618749 > 0.05, thus model fits data well. c) Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 12 24.3305 2.0275 Scaled Deviance 12 24.3305 2.0275 Pearson Chi-Square 12 24.3278 2.0273 Scaled Pearson X2 12 24.3278 2.0273 Log Likelihood 1338.6272 The test statistics is G 2 [(BD,DP)|(BD,BP,DP)] = 24.3305-14.86 = 9.47 G 2 =9.47 so 2 with df=13-9=4 p-value = 0.0504089 > 0.05. So there is not strong evidence that the BP conditional association. 2
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FRADE_STA5168_HW5 - Jaime Frade STA5168 Dr. Niu: HW5 8.2 a)...

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