Multidimensional Scaling of Towns

Obs Town A B C D
1 A 0 120 160 97
2 B . 0 200 85
3 C . . 0 115
4 D . . . 0

Multidimensional Scaling of Towns
Absolute Distances

Multidimensional Scaling: Data=WORK.TOWNS.DATA

Data Matrix
1 A B C D
A 0 120 160 97
B 120 0 200 85
C 160 200 0 115
D 97 85 115 0

Multidimensional Scaling of Towns
Absolute Distances

Multidimensional Scaling: Data=WORK.TOWNS.DATA
Shape=TRIANGLE Condition=MATRIX Level=ABSOLUTE
Coef=IDENTITY Dimension=2 Formula=1 Fit=1


Gconverge=0.01 Maxiter=100 Over=1 Ridge=0.0001

Iteration Type Badness-
of-Fit
Criterion		 Change in
Criterion		 Convergence
Measure
0 Initial 3.6864E-7 . 0.6568

Convergence assumed because the badness-of-fit criterion is less than or equal to MINCRIT=1E-6.

Configuration
  Dim1 Dim2
A 25.69 69.47
B 85.77 -34.41
C -112.81 -10.63
D 1.36 -24.43

Output from PROC GANNO

Multidimensional Scaling: Data=WORK.TOWNS.DATA
Shape=TRIANGLE Condition=MATRIX Level=ORDINAL
Coef=IDENTITY Dimension=2 Formula=1 Fit=1


Mconverge=0.01 Gconverge=0.01 Maxiter=100 Over=2 Ridge=0.0001

Iteration Type Badness-
of-Fit
Criterion		 Change in
Criterion		 Convergence Measures
Monotone Gradient
0 Initial 3.6864E-7 . . .

Convergence assumed because the badness-of-fit criterion is less than or equal to MINCRIT=1E-6.

Configuration
  Dim1 Dim2
A 0.44 1.19
B 1.46 -0.59
C -1.93 -0.18
D 0.02 -0.42

Output from PROC GANNO

Multidimensional Scaling of Towns
Absolute Distances

Multidimensional Scaling: Data=WORK.TOWNS.DATA

Data Matrix
1 A B C D
A 0 120 160 97
B 120 0 200 85
C 160 200 0 115
D 97 85 115 0

Multidimensional Scaling of Towns
Absolute Distances

Multidimensional Scaling: Data=WORK.TOWNS.DATA
Shape=TRIANGLE Condition=MATRIX Level=ABSOLUTE
Coef=IDENTITY Dimension=2 Formula=1 Fit=1


Gconverge=0.01 Maxiter=100 Over=1 Ridge=0.0001

Iteration Type Badness-
of-Fit
Criterion		 Change in
Criterion		 Convergence
Measure
0 Initial 3.6864E-7 . 0.6568

Convergence assumed because the badness-of-fit criterion is less than or equal to MINCRIT=1E-6.

Configuration
  Dim1 Dim2
A 25.69 69.47
B 85.77 -34.41
C -112.81 -10.63
D 1.36 -24.43

Multidimensional Scaling of Towns
Absolute Distances

X Contains the From Coordinates,

Y Contains the To Coordinates

OBSNUM LIST2
1 1
2 4
3 4
4 1

COORD   Y  
25.690672 69.469791 25.690672 69.469791
85.767694 -34.40875 1.35564 -24.42806
-112.814 -10.63298 1.35564 -24.42806
1.35564 -24.42806 25.690672 69.469791

Plot of Dim2 * Dim1

Multidimensional Scaling of Towns
Absolute Distances

X Contains the From Coordinates,

Y Contains the To Coordinates

OBSNUM LIST2
1 1
2 4
3 4
4 1

COORD   Y  
25.690672 69.469791 25.690672 69.469791
85.767694 -34.40875 1.35564 -24.42806
-112.814 -10.63298 1.35564 -24.42806
1.35564 -24.42806 25.690672 69.469791

Output from PROC GANNO