Summary of quiz performance grouped by permit status:
|
Level |
|
|
|
|
Mean Quiz Score: |
|
||||
|
have a permit from Virginia. |
A |
|
|
|
81.968750 |
|||||
|
don't have a permit yet, but will get one. |
|
B |
|
|
68.246377 |
|||||
|
have a permit from another state. |
|
B |
C |
|
61.500000 |
|||||
|
don't wish to get a permit. |
|
|
C |
D |
51.404255 |
|||||
|
wish no one had permits. |
|
|
|
D |
38.250000 |
|||||
Levels not connected by same letter are significantly different.
This means that despite differences in quiz scores, statistics are not significant enough to say they are different. For example, since “don’t have a permit yet, but will get one” and “have a permit from another state” are both grouped under “B” their performance on the quiz is considered to be the same. On the other hand, “have a permit from Virginia” is significantly higher than “wish no one had permits.”
Oneway Analysis of SCORE By Permit status
Missing Rows
24
Oneway Anova
Summary of Fit
|
|
|
|
Rsquare |
0.320931 |
|
Adj Rsquare |
0.303407 |
|
Root Mean Square Error |
18.22823 |
|
Mean of Response |
64.375 |
|
Observations (or Sum Wgts) |
160 |
Analysis of Variance
|
Source |
DF |
Sum of Squares |
Mean Square |
F Ratio |
Prob > F |
|
Permit status |
4 |
24339.901 |
6084.98 |
18.3134 |
<.0001 |
|
Error |
155 |
51501.599 |
332.27 |
|
|
|
C. Total |
159 |
75841.500 |
|
|
|
Means for Oneway Anova
|
Level |
Number |
Mean |
Std Error |
Lower 95% |
Upper 95% |
|
don't have a permit yet, but will get one. |
69 |
68.2464 |
2.1944 |
63.912 |
72.581 |
|
don't wish to get a permit. |
47 |
51.4043 |
2.6589 |
46.152 |
56.657 |
|
have a permit from another state. |
4 |
61.5000 |
9.1141 |
43.496 |
79.504 |
|
have a permit from Virginia. |
32 |
81.9688 |
3.2223 |
75.603 |
88.334 |
|
wish no one had permits. |
8 |
38.2500 |
6.4447 |
25.519 |
50.981 |
Std Error uses a pooled estimate of error variance
Means Comparisons
Comparisons for each pair using Student's t
|
t |
Alpha |
|
1.97539 |
0.05 |
|
Abs(Dif)-LSD |
have a permit from Virginia. |
don't have a permit yet, but will get one. |
have a permit from another state. |
don't wish to get a permit. |
wish no one had permits. |
|
have a permit from Virginia. |
-9.002 |
6.021 |
1.373 |
22.312 |
29.485 |
|
don't have a permit yet, but will get one. |
6.021 |
-6.130 |
-11.772 |
10.032 |
16.548 |
|
have a permit from another state. |
1.373 |
-11.772 |
-25.461 |
-8.659 |
1.200 |
|
don't wish to get a permit. |
22.312 |
10.032 |
-8.659 |
-7.428 |
-0.617 |
|
wish no one had permits. |
29.485 |
16.548 |
1.200 |
-0.617 |
-18.004 |
Positive values show pairs of means that are significantly different.
|
Level |
- Level |
Difference |
Lower CL |
Upper CL |
p-Value |
Difference |
|
have a permit from Virginia. |
wish no one had permits. |
43.71875 |
29.4854 |
57.95209 |
<.0001 |
|
|
have a permit from Virginia. |
don't wish to get a permit. |
30.56449 |
22.3120 |
38.81701 |
<.0001 |
|
|
don't have a permit yet, but will get one. |
wish no one had permits. |
29.99638 |
16.5479 |
43.44484 |
<.0001 |
|
|
have a permit from another state. |
wish no one had permits. |
23.25000 |
1.1998 |
45.30019 |
0.0389 |
|
|
have a permit from Virginia. |
have a permit from another state. |
20.46875 |
1.3727 |
39.56478 |
0.0358 |
|
|
don't have a permit yet, but will get one. |
don't wish to get a permit. |
16.84212 |
10.0320 |
23.65220 |
<.0001 |
|
|
have a permit from Virginia. |
don't have a permit yet, but will get one. |
13.72237 |
6.0212 |
21.42356 |
0.0006 |
|
|
don't wish to get a permit. |
wish no one had permits. |
13.15426 |
-0.6173 |
26.92585 |
0.0611 |
|
|
have a permit from another state. |
don't wish to get a permit. |
10.09574 |
-8.6586 |
28.85013 |
0.2893 |
|
|
don't have a permit yet, but will get one. |
have a permit from another state. |
6.74638 |
-11.7720 |
25.26478 |
0.4728 |
|
