Summarize the results of your analysis for all three models

Assignment Help Applied Statistics
Reference no: EM131395048

Case - Bookbinders Book Club

1. Summarize the results of your analysis for all three models. Develop your models using the case data files and then assess them on the holdout data sample.

Linear Regression model for 1600 sample

Figure 1: Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

.364

.031

 

11.848

.000

Gender

-.131

.020

-.143

-6.536

.000

Amount purchased

.000

.000

.060

2.464

.014

Frequency

-.009

.002

-.165

-4.170

.000

Last purchase

.097

.014

.678

7.156

.000

First purchase

-.002

.002

-.075

-1.103

.270

P_Child

-.126

.016

-.309

-7.698

.000

P_Youth

-.096

.020

-.140

-4.792

.000

P_Cook

-.141

.017

-.340

-8.520

.000

P_DIY

-.135

.020

-.212

-6.834

.000

P_Art

.118

.019

.200

6.061

.000

a. Dependent Variable: Choice (0/1)

Linear Regression for holdout sample

Figure 2: Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

B

Std. Error

Beta

1

(Constant)

.183

.018

 

9.933

.000

Gender

-.070

.012

-.114

-5.825

.000

Amount purchased

8.682E-5

.000

.029

1.346

.179

Frequency

-.007

.001

-.188

-5.037

.000

Last purchase

.038

.009

.382

4.025

.000

First purchase

.001

.001

.048

.793

.428

P_Child

-.059

.011

-.211

-5.624

.000

P_Youth

-.043

.013

-.096

-3.457

.001

P_Cook

-.061

.010

-.229

-5.918

.000

P_DIY

-.077

.012

-.192

-6.554

.000

P_Art

.079

.013

.171

6.087

.000

Binary logit model for 1600 sample

Figure 3: Model Summary

 

Step

-2 Log likelihood

Cox & Snell R Square

Nagelkerke R Square

 

1

1392.159a

.225

.333

 

a. Estimation terminated at iteration number 6 because parameter estimates changed by less than .001?

 

Figure 4: HosmerandLemeshowtest

 

Step

Chi-square

df

Sig.

 

1

3.061

8

.930

 

Figure 5: Variables in the Equation

 

B

S.E.

Wald

df

Sig.

Exp(B)

Step 1a

Gender

-.863

.137

39.443

1

.000

.422

Amountpurchased

.002

.001

5.542

1

.019

1.002

Frequency

-.076

.017

20.709

1

.000

.927

Lastpurchase

.612

.094

42.526

1

.000

1.844

Firstpurchase

-.015

.013

1.333

1

.248

.985

P_Child

-.811

.117

48.319

1

.000

.444

P_Youth

-.637

.143

19.741

1

.000

.529

P_Cook

-.923

.119

59.677

1

.000

.397

P_DIY

-.906

.144

39.738

1

.000

.404

P_Art

.686

.127

29.178

1

.000

1.986

Constant

-.352

.214

2.689

1

.101

.704

a. Variable(s) entered on step 1:Gender, Amountpurchase, Frequency, Lastpurchase, Firstpurchase, P_Child, P_Youth, P_Cook, P_DIY, P_Art

Figure 6: Classification Tablea

 

 

Observed

Predicted

 

 

Choice (0/1)

Percentage Correct

 

 

0

1

 

Step 1

Choice (0/1)

0

1120

80

93.3

 

1

240

160

40.0

 

Overall percentage

 

 

80.0

 

a. The cut value is.500

 





















Binary logit model for holdout sample

Figure 7: Model Summary

 

Step

-2 Log likelihood

Cox & Snell R Square

Nagelkerke R Square

 

1

1111.384a

.109

.243

 

a. Estimation terminated at iteration number 6 because parameter estimates changed by less than .001?

 

Figure 8: HosmerandLemeshowtest

 

Step

Chi-square

df

Sig.

 

1

7.851

8

.448

 

Figure 9: Variables in the Equation

 

B

S.E.

Wald

df

Sig

Exp(B)

Step 1a

Gender

-.942

.164

33.164

1

.000

.390

Amountpurchased

.001

.001

2.205

1

.138

1.001

Frequency

-.112

.020

32.302

1

.000

.894

Lastpurchase

.412

.115

12.759

1

.000

1.510

Firstpurchase

.007

.014

.216

1

.642

1.007

P_Child

-.679

.140

23.519

1

.000

.507

P_Youth

-.479

.173

7.639

1

.006

.619

P_Cook

-.724

.142

25.833

1

.000

.485

P_DIY

-.953

.167

32.401

1

.000

.386

P_Art

.804

.150

28.762

1

.000

2.234

Constant

-1.150

.248

21.443

1

.000

.317

a. Variable(s) entered on step 1:Gender, Amountpurchase, Frequency, Lastpurchase, Firstpurchase, P_Child, P_Youth, P_Cook, P_DIY, P_Art

Figure 10: Classification Tablea

 

 

Observed

Predicted

 

 

Choice (0/1)

Percentage Correct

 

 

0

1

 

Step 1

Choice (0/1)

0

2081

15

99.3

 

1

177

27

13.2

 

Overall Percentage

 

 

91.7

 

a. The cut value is.500

 





















2. Interpret the results of these models. In particular, highlight which factors most influenced the customers' decision to buy or not to buy the book.

3. Bookbinders is considering a similar mail campaign in the Midwest where it has data for 50,000 customers. Such mailings typically promote several books. The allocated cost of the mailing is $0.65/addressee (including postage) for the art book, and the book costs Bookbinders $15 to purchase and mail. The company allocates overhead to each book at 45 percent of cost. The selling price of the book is $31.95. Based on the model, which customers should Bookbinders target? How much more profit would you expect the company to generate using these models as compared to sending the mail offer to the entire list?

4. Based on the insights you gained from this modeling exercise, summarize the advantages and limitations of each of the modeling approaches. Look at both similar and dissimilar results.

Attachment:- Case Assignment.rar

Reference no: EM131395048

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len1395048

2/15/2017 11:40:11 PM

Case Bookbinders Book Club answers By Gary L. Lilien & Arvind Rangaswamy, just need to answer question 1-4, and only using an ordinary linear regression model, and a binary logit model, no need RFM and make sure only question 1-4 and using an ordinary linear regression model, and a binary logit model no need RFM!

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