Matrix
Run MATRIX procedure:
Multi-Response Permutation Procedure (MRPP)
No commensuration invoked
Metric Euclidean distance function invoked
Total sample size
21
Group summary
N Distance Weights
5.000000000000 3.580166225429 .238095238095
4.000000000000 3.214880033153 .190476190476
8.000000000000 3.681188834369 .380952380952
4.000000000000 3.060205742503 .190476190476
Moments of the MRPP null distribution
Mean Variance Skewness
8.110161833941 .311462970802 -1.05618948865
Test of Significance
Delta T Sig.
3.450032614510 -8.35015906239 .000002517390
------ END MATRIX -----
Matrix
Run MATRIX procedure:
Multi-Response Permutation Procedure (MRPP)
Euclidean commensuration invoked: print the Phi matrix
820836 0 0
0 698896 0
0 0 1102500
Metric Euclidean distance function invoked
Total sample size
21
Group summary
N Distance Weights
5.000000000000 .003893040759 .238095238095
4.000000000000 .003491150118 .190476190476
8.000000000000 .004050703860 .380952380952
4.000000000000 .003412210188 .190476190476
Moments of the MRPP null distribution
Mean Variance Skewness
.008679002569 .000000357445 -1.05825645899
Test of Significance
Delta T Sig.
.003784965519 -8.18583042093 .000003343974
------ END MATRIX -----
Matrix
Run MATRIX procedure:
Multi-Response Permutation Procedure (MRPP)
Hotelling Commensuration invoked: print SSCP matrix
270.5714286 225.5714286 277.8571429
225.5714286 233.2380952 264.1904762
277.8571429 264.1904762 370.9523810
Squared Euclidean distance function invoked
Total sample size
21
Group summary
N Distance Weights
5.000000000000 .130895548347 .235294117647
4.000000000000 .242633791183 .176470588235
8.000000000000 .289113143558 .411764705882
4.000000000000 .134329829458 .176470588235
Moments of the MRPP null distribution
Mean Variance Skewness
.300000000000 .000441890947 -.515294791321
Test of Significance
Delta T Sig.
.216368532954 -3.97843405036 .000729406618
------ END MATRIX -----
General Linear Model
Between-Subjects Factors
|
|
N |
|---|
| GRP |
1.00 |
5 |
|---|
| 2.00 |
4 |
|---|
| 3.00 |
8 |
|---|
| 4.00 |
4 |
|---|
Multivariate Tests(c)
| Effect |
|
Value |
F |
Hypothesis df |
Error df |
Sig. |
|---|
| Intercept |
Pillai's Trace |
.998 |
3211.512(a) |
3.000 |
15.000 |
.000 |
|---|
| Wilks' Lambda |
.002 |
3211.512(a) |
3.000 |
15.000 |
.000 |
|---|
| Hotelling's Trace |
642.302 |
3211.512(a) |
3.000 |
15.000 |
.000 |
|---|
| Roy's Largest Root |
642.302 |
3211.512(a) |
3.000 |
15.000 |
.000 |
|---|
| GRP |
Pillai's Trace |
1.161 |
3.577 |
9.000 |
51.000 |
.002 |
|---|
| Wilks' Lambda |
.048 |
10.121 |
9.000 |
36.657 |
.000 |
|---|
| Hotelling's Trace |
15.642 |
23.752 |
9.000 |
41.000 |
.000 |
|---|
| Roy's Largest Root |
15.375 |
87.127(b) |
3.000 |
17.000 |
.000 |
|---|
| a Exact statistic |
| b The statistic is an upper bound on F that yields a lower bound on the significance level. |
| c Design: Intercept+GRP
|
Tests of Between-Subjects Effects
| Source |
Dependent Variable |
Type III Sum of Squares |
df |
Mean Square |
F |
Sig. |
|---|
| Corrected Model |
V1 |
232.271(a) |
3 |
77.424 |
34.366 |
.000 |
|---|
| V2 |
190.438(b) |
3 |
63.479 |
25.214 |
.000 |
|---|
| V3 |
340.152(c) |
3 |
113.384 |
62.582 |
.000 |
|---|
| Intercept |
V1 |
6274.912 |
1 |
6274.912 |
2785.209 |
.000 |
|---|
| V2 |
17107.200 |
1 |
17107.200 |
6794.916 |
.000 |
|---|
| V3 |
12660.412 |
1 |
12660.412 |
6987.890 |
.000 |
|---|
| GRP |
V1 |
232.271 |
3 |
77.424 |
34.366 |
.000 |
|---|
| V2 |
190.438 |
3 |
63.479 |
25.214 |
.000 |
|---|
| V3 |
340.152 |
3 |
113.384 |
62.582 |
.000 |
|---|
| Error |
V1 |
38.300 |
17 |
2.253 |
|
|
|---|
| V2 |
42.800 |
17 |
2.518 |
|
|
|---|
| V3 |
30.800 |
17 |
1.812 |
|
|
|---|
| Total |
V1 |
7738.000 |
21 |
|
|
|
|---|
| V2 |
19799.000 |
21 |
|
|
|
|---|
| V3 |
15251.000 |
21 |
|
|
|
|---|
| Corrected Total |
V1 |
270.571 |
20 |
|
|
|
|---|
| V2 |
233.238 |
20 |
|
|
|
|---|
| V3 |
370.952 |
20 |
|
|
|
|---|
| a R Squared = .858 (Adjusted R Squared = .833) |
| b R Squared = .816 (Adjusted R Squared = .784) |
| c R Squared = .917 (Adjusted R Squared = .902)
|
Matrix
Run MATRIX procedure:
Least Absolute Deviation (LAD) Regression Using
Downhill Simplex Minimization Method
Criterion variable is:
Y
Sample Size
24
Starting Simplex:
10.00000 -1.00000 -3.00000 1.000000
11.00000 -1.00000 -3.00000 1.000000
10.00000 .000000 -3.00000 1.000000
10.00000 -1.00000 -2.00000 1.000000
10.00000 -1.00000 -3.00000 2.000000
Final Simplex:
10.00000 -1.00000 -3.00000 1.000000
11.00000 -1.00000 -3.00000 1.000000
10.63281 -1.24219 -2.60156 .578125
10.34912 -1.00244 -2.67139 .975586
10.41016 -1.52734 -3.01953 1.726563
Number of iterations:
5.00
Sum of absolute values of the residuals:
94.00
LAD Parameter Estimates
Intercep X1 X2 X3
10.00000 -1.00000 -3.00000 1.000000
------ END MATRIX -----
Matrix
Run MATRIX procedure:
Multi-Response Permutation Procedure (MRPP)
Commensuration not needed: dimensionality of response = 1
Metric Euclidean distance function invoked
Total sample size
24
Group summary
N Distance Weights
4.000000000000 4.000000000000 .166666666667
4.000000000000 5.000000000000 .166666666667
4.000000000000 6.000000000000 .166666666667
4.000000000000 7.000000000000 .166666666667
4.000000000000 5.000000000000 .166666666667
4.000000000000 5.000000000000 .166666666667
Moments of the MRPP null distribution
Mean Variance Skewness
5.318840579710 .275221989148 -.754307128559
Test of Significance
Delta T Sig.
5.333333333333 .027625448948 .460765917774
------ END MATRIX -----
General Linear Model
Between-Subjects Factors
|
|
N |
|---|
| A |
1.00 |
12 |
|---|
| 2.00 |
12 |
|---|
| B |
1.00 |
8 |
|---|
| 2.00 |
8 |
|---|
| 3.00 |
8 |
|---|
Tests of Between-Subjects Effects
Dependent Variable: Y
| Source |
Type III Sum of Squares |
df |
Mean Square |
F |
Sig. |
|---|
| Corrected Model |
280.000(a) |
5 |
56.000 |
3.055 |
.036 |
|---|
| Intercept |
2400.000 |
1 |
2400.000 |
130.909 |
.000 |
|---|
| A |
24.000 |
1 |
24.000 |
1.309 |
.268 |
|---|
| B |
112.000 |
2 |
56.000 |
3.055 |
.072 |
|---|
| A * B |
144.000 |
2 |
72.000 |
3.927 |
.038 |
|---|
| Error |
330.000 |
18 |
18.333 |
|
|
|---|
| Total |
3010.000 |
24 |
|
|
|
|---|
| Corrected Total |
610.000 |
23 |
|
|
|
|---|
| a R Squared = .459 (Adjusted R Squared = .309)
|