2 The table below represents the staff performance of two sales departments in a company, cross classified by department (variable 1), staff gender (variable 2) and sales volume above or below 1000 (variable 3) Department A 1000 1000 Total Female 73 62 135 Male 31 58 89 Total 104 120 224 You can assume the following calculations and G2 marginal table collapsed over 3 Female Male Total Table 2 1 3 way contingency table 0 0731 Department B 21000 1000 Total 93 35 128 40 40 80 133 75 208 G 32 4659 13 9073 18 9493 0 2083 Model 1 2 3 1 23 12 13 12 13 23 Table 2 2 Some given values of G a) Using the given information in Table 2 2 and G2 marginal table collapsed over 3 G of the following models 2 13 3 12 13 23 12 23 calculate the 6 marks b) Using a forward selection procedure, choose the best model fitting the data among 5 marks the 9 hierarchical models c) Using the model chosen in part b), determine if the interaction between gender and sales volume is significant Justify your answer 5 marks d) Without doing any further calculations, establish if the 95 confidence interval for the odds ratio of sales volume 1000' for males compared to females contains 1 4 marks I e) For the model chosen in part b) show that the conditional odds ratio at any level of the variable 'Department' is equal to the marginal odds ratio 5 marks

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2. The table below represents the staff performance of two sales departments in a company, cross-classified by department (variable 1), staff gender (variable 2)

2. The table below represents the staff performance of two sales departments in a company, cross-classified by department (va

b) Using a forward selection procedure, choose the best model fitting the data among the 9 hierarchical models. [5 marks] c)

2. The table below represents the staff performance of two sales departments in a company, cross-classified by department (variable 1), staff gender (variable 2) and sales volume above or below 1000 (variable 3). Department A 1000

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