Chapter 6 : Discrimination example |
Obs | handicap | score |
---|---|---|
1 | NONE | 1.90000 |
2 | NONE | 2.50000 |
3 | NONE | 3.00000 |
4 | NONE | 3.60000 |
5 | NONE | 4.10000 |
6 | NONE | 4.20000 |
7 | NONE | 4.90000 |
8 | NONE | 5.10000 |
9 | NONE | 5.40000 |
10 | NONE | 5.90000 |
11 | NONE | 6.10000 |
12 | NONE | 6.70000 |
13 | NONE | 7.40000 |
14 | NONE | 7.80000 |
15 | AMPUTEE | 1.90000 |
16 | AMPUTEE | 2.50000 |
17 | AMPUTEE | 2.60000 |
18 | AMPUTEE | 3.20000 |
19 | AMPUTEE | 3.60000 |
20 | AMPUTEE | 3.80000 |
21 | AMPUTEE | 4.00000 |
22 | AMPUTEE | 4.60000 |
23 | AMPUTEE | 5.30000 |
24 | AMPUTEE | 5.50000 |
25 | AMPUTEE | 5.80000 |
26 | AMPUTEE | 5.90000 |
27 | AMPUTEE | 6.10000 |
28 | AMPUTEE | 7.20000 |
29 | CRUTCHES | 3.70000 |
30 | CRUTCHES | 4.00000 |
31 | CRUTCHES | 4.30000 |
32 | CRUTCHES | 4.30000 |
33 | CRUTCHES | 5.10000 |
34 | CRUTCHES | 5.80000 |
35 | CRUTCHES | 6.00000 |
36 | CRUTCHES | 6.20000 |
37 | CRUTCHES | 6.30000 |
38 | CRUTCHES | 6.40000 |
39 | CRUTCHES | 7.40000 |
40 | CRUTCHES | 7.40000 |
41 | CRUTCHES | 7.50000 |
42 | CRUTCHES | 8.50000 |
43 | HEARING | 1.40000 |
44 | HEARING | 2.10000 |
45 | HEARING | 2.40000 |
46 | HEARING | 2.90000 |
47 | HEARING | 3.40000 |
48 | HEARING | 3.70000 |
49 | HEARING | 3.90000 |
50 | HEARING | 4.20000 |
51 | HEARING | 4.30000 |
52 | HEARING | 4.70000 |
53 | HEARING | 5.50000 |
54 | HEARING | 5.80000 |
55 | HEARING | 5.90000 |
56 | HEARING | 6.50000 |
57 | WHEELCHAIR | 1.70000 |
58 | WHEELCHAIR | 2.80000 |
59 | WHEELCHAIR | 3.50000 |
60 | WHEELCHAIR | 4.70000 |
61 | WHEELCHAIR | 4.80000 |
62 | WHEELCHAIR | 5.00000 |
63 | WHEELCHAIR | 5.30000 |
64 | WHEELCHAIR | 6.10000 |
65 | WHEELCHAIR | 6.10000 |
66 | WHEELCHAIR | 6.20000 |
67 | WHEELCHAIR | 6.40000 |
68 | WHEELCHAIR | 7.20000 |
69 | WHEELCHAIR | 7.40000 |
70 | WHEELCHAIR | 7.60000 |
Chapter 6 : Discrimination example |
Model Information | |
---|---|
Data Set | WORK.DISCRIMINATION |
Dependent Variable | score |
Covariance Structure | Variance Components |
Group Effect | handicap |
Estimation Method | REML |
Residual Variance Method | None |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Between-Within |
Class Level Information | ||
---|---|---|
Class | Levels | Values |
handicap | 5 | NONE AMPUTEE CRUTCHES HEARING WHEELCHAIR |
Dimensions | |
---|---|
Covariance Parameters | 5 |
Columns in X | 6 |
Columns in Z | 0 |
Subjects | 70 |
Max Obs Per Subject | 1 |
Number of Observations | |
---|---|
Number of Observations Read | 70 |
Number of Observations Used | 70 |
Number of Observations Not Used | 0 |
Iteration History | |||
---|---|---|---|
Iteration | Evaluations | -2 Res Log Like | Criterion |
0 | 1 | 261.40673324 | |
1 | 1 | 260.68354737 | 0.00000000 |
Convergence criteria met. |
Covariance Parameter Estimates | ||
---|---|---|
Cov Parm | Group | Estimate |
Residual | handicap NONE | 3.2169 |
Residual | handicap AMPUTEE | 2.5145 |
Residual | handicap CRUTCHES | 2.1957 |
Residual | handicap HEARING | 2.3488 |
Residual | handicap WHEELCHAIR | 3.0565 |
Fit Statistics | |
---|---|
-2 Res Log Likelihood | 260.7 |
AIC (smaller is better) | 270.7 |
AICC (smaller is better) | 271.7 |
BIC (smaller is better) | 281.9 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
4 | 0.72 | 0.9484 |
Type 3 Tests of Fixed Effects | ||||
---|---|---|---|---|
Effect | Num DF | Den DF | F Value | Pr > F |
handicap | 4 | 65 | 3.27 | 0.0167 |
Least Squares Means | ||||||
---|---|---|---|---|---|---|
Effect | handicap | Estimate | Standard Error | DF | t Value | Pr > |t| |
handicap | NONE | 4.9000 | 0.4794 | 65 | 10.22 | <.0001 |
handicap | AMPUTEE | 4.4286 | 0.4238 | 65 | 10.45 | <.0001 |
handicap | CRUTCHES | 5.9214 | 0.3960 | 65 | 14.95 | <.0001 |
handicap | HEARING | 4.0500 | 0.4096 | 65 | 9.89 | <.0001 |
handicap | WHEELCHAIR | 5.3429 | 0.4672 | 65 | 11.43 | <.0001 |
Differences of Least Squares Means | |||||||||
---|---|---|---|---|---|---|---|---|---|
Effect | handicap | _handicap | Estimate | Standard Error | DF | t Value | Pr > |t| | Adjustment | Adj P |
handicap | AMPUTEE | NONE | -0.4714 | 0.6398 | 65 | -0.74 | 0.4639 | Dunnett | 0.8606 |
handicap | CRUTCHES | NONE | 1.0214 | 0.6218 | 65 | 1.64 | 0.1053 | Dunnett | 0.2846 |
handicap | HEARING | NONE | -0.8500 | 0.6305 | 65 | -1.35 | 0.1823 | Dunnett | 0.4513 |
handicap | WHEELCHAIR | NONE | 0.4429 | 0.6694 | 65 | 0.66 | 0.5106 | Dunnett | 0.8989 |
Chapter 6 : Discrimination example |
Analysis wtih PROC MIXED |
Model Information | |
---|---|
Data Set | WORK.DISCRIMINATION |
Dependent Variable | score |
Covariance Structure | Diagonal |
Estimation Method | REML |
Residual Variance Method | Profile |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Residual |
Class Level Information | ||
---|---|---|
Class | Levels | Values |
handicap | 5 | NONE AMPUTEE CRUTCHES HEARING WHEELCHAIR |
Dimensions | |
---|---|
Covariance Parameters | 1 |
Columns in X | 6 |
Columns in Z | 0 |
Subjects | 1 |
Max Obs Per Subject | 70 |
Number of Observations | |
---|---|
Number of Observations Read | 70 |
Number of Observations Used | 70 |
Number of Observations Not Used | 0 |
Covariance Parameter Estimates | |
---|---|
Cov Parm | Estimate |
Residual | 2.6665 |
Fit Statistics | |
---|---|
-2 Res Log Likelihood | 261.4 |
AIC (smaller is better) | 263.4 |
AICC (smaller is better) | 263.5 |
BIC (smaller is better) | 265.6 |
Type 3 Tests of Fixed Effects | ||||
---|---|---|---|---|
Effect | Num DF | Den DF | F Value | Pr > F |
handicap | 4 | 65 | 2.86 | 0.0301 |
Least Squares Means | ||||||
---|---|---|---|---|---|---|
Effect | handicap | Estimate | Standard Error | DF | t Value | Pr > |t| |
handicap | NONE | 4.9000 | 0.4364 | 65 | 11.23 | <.0001 |
handicap | AMPUTEE | 4.4286 | 0.4364 | 65 | 10.15 | <.0001 |
handicap | CRUTCHES | 5.9214 | 0.4364 | 65 | 13.57 | <.0001 |
handicap | HEARING | 4.0500 | 0.4364 | 65 | 9.28 | <.0001 |
handicap | WHEELCHAIR | 5.3429 | 0.4364 | 65 | 12.24 | <.0001 |
handicap | NONE | 4.9000 | 0.4364 | 65 | 11.23 | <.0001 |
handicap | AMPUTEE | 4.4286 | 0.4364 | 65 | 10.15 | <.0001 |
handicap | CRUTCHES | 5.9214 | 0.4364 | 65 | 13.57 | <.0001 |
handicap | HEARING | 4.0500 | 0.4364 | 65 | 9.28 | <.0001 |
handicap | WHEELCHAIR | 5.3429 | 0.4364 | 65 | 12.24 | <.0001 |
handicap | NONE | 4.9000 | 0.4364 | 65 | 11.23 | <.0001 |
handicap | AMPUTEE | 4.4286 | 0.4364 | 65 | 10.15 | <.0001 |
handicap | CRUTCHES | 5.9214 | 0.4364 | 65 | 13.57 | <.0001 |
handicap | HEARING | 4.0500 | 0.4364 | 65 | 9.28 | <.0001 |
handicap | WHEELCHAIR | 5.3429 | 0.4364 | 65 | 12.24 | <.0001 |
handicap | NONE | 4.9000 | 0.4364 | 65 | 11.23 | <.0001 |
handicap | AMPUTEE | 4.4286 | 0.4364 | 65 | 10.15 | <.0001 |
handicap | CRUTCHES | 5.9214 | 0.4364 | 65 | 13.57 | <.0001 |
handicap | HEARING | 4.0500 | 0.4364 | 65 | 9.28 | <.0001 |
handicap | WHEELCHAIR | 5.3429 | 0.4364 | 65 | 12.24 | <.0001 |
Differences of Least Squares Means | |||||||||
---|---|---|---|---|---|---|---|---|---|
Effect | handicap | _handicap | Estimate | Standard Error | DF | t Value | Pr > |t| | Adjustment | Adj P |
handicap | NONE | AMPUTEE | 0.4714 | 0.6172 | 65 | 0.76 | 0.4477 | . | |
handicap | NONE | CRUTCHES | -1.0214 | 0.6172 | 65 | -1.65 | 0.1028 | . | |
handicap | NONE | HEARING | 0.8500 | 0.6172 | 65 | 1.38 | 0.1732 | . | |
handicap | NONE | WHEELCHAIR | -0.4429 | 0.6172 | 65 | -0.72 | 0.4756 | . | |
handicap | AMPUTEE | CRUTCHES | -1.4929 | 0.6172 | 65 | -2.42 | 0.0184 | . | |
handicap | AMPUTEE | HEARING | 0.3786 | 0.6172 | 65 | 0.61 | 0.5418 | . | |
handicap | AMPUTEE | WHEELCHAIR | -0.9143 | 0.6172 | 65 | -1.48 | 0.1433 | . | |
handicap | CRUTCHES | HEARING | 1.8714 | 0.6172 | 65 | 3.03 | 0.0035 | . | |
handicap | CRUTCHES | WHEELCHAIR | 0.5786 | 0.6172 | 65 | 0.94 | 0.3520 | . | |
handicap | HEARING | WHEELCHAIR | -1.2929 | 0.6172 | 65 | -2.09 | 0.0401 | . | |
handicap | NONE | AMPUTEE | 0.4714 | 0.6172 | 65 | 0.76 | 0.4477 | Tukey | 0.9400 |
handicap | NONE | CRUTCHES | -1.0214 | 0.6172 | 65 | -1.65 | 0.1028 | Tukey | 0.4686 |
handicap | NONE | HEARING | 0.8500 | 0.6172 | 65 | 1.38 | 0.1732 | Tukey | 0.6443 |
handicap | NONE | WHEELCHAIR | -0.4429 | 0.6172 | 65 | -0.72 | 0.4756 | Tukey | 0.9517 |
handicap | AMPUTEE | CRUTCHES | -1.4929 | 0.6172 | 65 | -2.42 | 0.0184 | Tukey | 0.1233 |
handicap | AMPUTEE | HEARING | 0.3786 | 0.6172 | 65 | 0.61 | 0.5418 | Tukey | 0.9725 |
handicap | AMPUTEE | WHEELCHAIR | -0.9143 | 0.6172 | 65 | -1.48 | 0.1433 | Tukey | 0.5781 |
handicap | CRUTCHES | HEARING | 1.8714 | 0.6172 | 65 | 3.03 | 0.0035 | Tukey | 0.0278 |
handicap | CRUTCHES | WHEELCHAIR | 0.5786 | 0.6172 | 65 | 0.94 | 0.3520 | Tukey | 0.8812 |
handicap | HEARING | WHEELCHAIR | -1.2929 | 0.6172 | 65 | -2.09 | 0.0401 | Tukey | 0.2348 |
handicap | NONE | AMPUTEE | 0.4714 | 0.6172 | 65 | 0.76 | 0.4477 | Scheffe | 0.9642 |
handicap | NONE | CRUTCHES | -1.0214 | 0.6172 | 65 | -1.65 | 0.1028 | Scheffe | 0.6051 |
handicap | NONE | HEARING | 0.8500 | 0.6172 | 65 | 1.38 | 0.1732 | Scheffe | 0.7545 |
handicap | NONE | WHEELCHAIR | -0.4429 | 0.6172 | 65 | -0.72 | 0.4756 | Scheffe | 0.9715 |
handicap | AMPUTEE | CRUTCHES | -1.4929 | 0.6172 | 65 | -2.42 | 0.0184 | Scheffe | 0.2238 |
handicap | AMPUTEE | HEARING | 0.3786 | 0.6172 | 65 | 0.61 | 0.5418 | Scheffe | 0.9840 |
handicap | AMPUTEE | WHEELCHAIR | -0.9143 | 0.6172 | 65 | -1.48 | 0.1433 | Scheffe | 0.7007 |
handicap | CRUTCHES | HEARING | 1.8714 | 0.6172 | 65 | 3.03 | 0.0035 | Scheffe | 0.0682 |
handicap | CRUTCHES | WHEELCHAIR | 0.5786 | 0.6172 | 65 | 0.94 | 0.3520 | Scheffe | 0.9265 |
handicap | HEARING | WHEELCHAIR | -1.2929 | 0.6172 | 65 | -2.09 | 0.0401 | Scheffe | 0.3656 |
handicap | NONE | AMPUTEE | 0.4714 | 0.6172 | 65 | 0.76 | 0.4477 | Bonferroni | 1.0000 |
handicap | NONE | CRUTCHES | -1.0214 | 0.6172 | 65 | -1.65 | 0.1028 | Bonferroni | 1.0000 |
handicap | NONE | HEARING | 0.8500 | 0.6172 | 65 | 1.38 | 0.1732 | Bonferroni | 1.0000 |
handicap | NONE | WHEELCHAIR | -0.4429 | 0.6172 | 65 | -0.72 | 0.4756 | Bonferroni | 1.0000 |
handicap | AMPUTEE | CRUTCHES | -1.4929 | 0.6172 | 65 | -2.42 | 0.0184 | Bonferroni | 0.1838 |
handicap | AMPUTEE | HEARING | 0.3786 | 0.6172 | 65 | 0.61 | 0.5418 | Bonferroni | 1.0000 |
handicap | AMPUTEE | WHEELCHAIR | -0.9143 | 0.6172 | 65 | -1.48 | 0.1433 | Bonferroni | 1.0000 |
handicap | CRUTCHES | HEARING | 1.8714 | 0.6172 | 65 | 3.03 | 0.0035 | Bonferroni | 0.0349 |
handicap | CRUTCHES | WHEELCHAIR | 0.5786 | 0.6172 | 65 | 0.94 | 0.3520 | Bonferroni | 1.0000 |
handicap | HEARING | WHEELCHAIR | -1.2929 | 0.6172 | 65 | -2.09 | 0.0401 | Bonferroni | 0.4010 |