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Question 1 Consider a 3 dimensional contingency table. Decide if the following statements are true or false. Justify your answers. (a) (b) (c) (d) Pijk = The joint probability of the three variables according to the model [12][23] is Pi+kP+jk P++k Consider the model [12] [13] [23], then for at least one of the three variables the marginal and the conditional odds ratio coincide. Given the model [12][23], the marginal table collapsed over variable 2 can exhibit either association or no association. Given the model [1][23], the marginal table collapsed over variable 3 can exhibit either association or no association.

Question 1 Consider a 3 dimensional contingency table. Decide if the following statements are true or false. Justify your answers. (a) (b) (c) (d) Pijk = The joint probability of the three variables according to the model [12][23] is Pi+kP+jk P++k Consider the model [12] [13] [23], then for at least one of the three variables the marginal and the conditional odds ratio coincide. Given the model [12][23], the marginal table collapsed over variable 2 can exhibit either association or no association. Given the model [1][23], the marginal table collapsed over variable 3 can exhibit either association or no association.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 1 Consider a 3 dimensional contingency table. Decide if the following statements are true or false. Justify your answers. The joint probability of the three variables according to the model [12][23] is Pi+kP+jk (a) Pijk P++k Consider the model [12][13][23], then for at least one of the three variables (b) the marginal and the conditional odds ratio coincide. Given the model [12][23], the marginal table collapsed over variable 2 can (c) exhibit either association or no association. Given the model [1][23], the marginal table collapsed over variable 3 can (d) exhibit either association or no association.
Transcribed Image Text:Question 1 Consider a 3 dimensional contingency table. Decide if the following statements are true or false. Justify your answers. The joint probability of the three variables according to the model [12][23] is Pi+kP+jk (a) Pijk P++k Consider the model [12][13][23], then for at least one of the three variables (b) the marginal and the conditional odds ratio coincide. Given the model [12][23], the marginal table collapsed over variable 2 can (c) exhibit either association or no association. Given the model [1][23], the marginal table collapsed over variable 3 can (d) exhibit either association or no association.
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