In: Statistics and Probability
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 |
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 |