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

 

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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) 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 G² 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 G² a) Using the given information in Table 2.2 and G2 marginal table collapsed over 3 G² 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] 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 G² 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 G² a) Using the given information in Table 2.2 and G2 marginal table collapsed over 3 G² 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]

Answer rating: 100% (QA)

a G202083 123123121323 324659208 01568 123123121323 189493208 00915 123132121323 139073208 00668 1231213121323 40208 00192 b The best model is the one ... View the full answer