Question 1 Consider a 3 dimensional contingency table. Decide if the following statements are true or false. Justify your answers. (a) - Pijk (d) The joint probability of the three variables according to the model [12][23] is Pi+kP+jk P++k (b) Consider the model [12][13][23], then for at least one of the three variables the marginal and the conditional odds ratio coincide. (c) 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.

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