2 The Table Below Represents The Staff Performance Of Two Sales Departments In A Company Cross Classified By Departmen 1 (46.14 KiB) Viewed 84 times
2 The Table Below Represents The Staff Performance Of Two Sales Departments In A Company Cross Classified By Departmen 2 (26.03 KiB) Viewed 84 times
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 Department B 1000 < 1000 Total 93 35 128 Female 73 62 135 Female Male 31 58 89 Male 80 40 40 Total 104 120 224 Total 133 75 208 Table 2.1: 3-way contingency table You can assume the following calculations: Model G 32.4659 13.9073 (2)[3] [1][23] [12][13] (12)[13)(23) 18.9493 0.2083 Table 2.2: Some given values of G? and marginal table collapsed over 3 = 0.0731 calculate the a) Using the given information in Table 22 and marginal table collapsed over 3 G of the following models: (2] [13] [3] [12] [13][23] [12][23] [6 marks)
b) Using a forward selection procedure, choose the best model fitting the data among the 9 hierarchical models. [5 marks] 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. I (4 marks) 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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