Question

In: Statistics and Probability

Calculate and examine the standardized residuals. What? pattern, if? any, do they show that would be...

Calculate and examine the standardized residuals. What? pattern, if? any, do they show that would be of interest to retailers concerned about cybershopping? comparisons? Complete the table below. I have the background data below.

Calculate and examine the standardized residuals.
>30K >30 - 39.9K >49.9- 74.9K >75K
Yes
No
?
Observed
< 30 k 30-49.9K 50 -74.9K >75K TOTAL
Yes 227 109 101 189 626
No 730 393 255 437 1815
957 502 356 626 2441

Here is the expected data with Test Statistic:

Actual Expected
227 245.4248 1.383211
109 128.739 3.026508
101 91.29701 1.031228
189 160.5391 5.045633
730 711.5752 0.477074
393 373.261 1.043853
255 264.703 0.355674
437 465.4609 1.740257
14.10

Solutions

Expert Solution

Solution

DF

3

?

0.05

?2(crit)

7.814728

?2(cal)

14.10344

p-value

0.002768

Reject H0

Oij

j1

j2

j3

j4

Oi.

i1

227

109

101

189

626

i2

730

393

255

437

1815

O.j

957

502

356

626

2441

Eij

j1

j2

j3

j4

Ei.

i1

245.4248

128.739

91.29701

160.5391

626

i2

711.5752

373.261

264.703

465.4609

1815

E.j

957

502

356

626

2441

?2(ij)

j1

j2

j3

j4

Total

i1

1.383211

3.026508

1.031228

5.045633

10.48658

i2

0.477074

1.043853

0.355674

1.740257

3.616859

Total

1.860285

4.070362

1.386902

6.78589

14.10344

only chi-square 12 and 14 are high.

DONE


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