Output from phys8a.sas

Source
0 Graphs

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                 1
See pp 154-155 of Harman: Modern Factor Analysis, 2nd Ed.
```
```Initial Factor Method: Principal Factors

Prior Communality Estimates: NUMERIC```
```                         VAR1      VAR2      VAR3      VAR4
0.854000  0.897000  0.833000  0.783000

VAR5      VAR6      VAR7      VAR8
0.870000  0.687000  0.521000  0.579000
```
`Eigenvalues of the Reduced Correlation Matrix:  Total = 6.024  Average = 0.753`
```                                1           2           3           4
Eigenvalue        4.4558      1.5127      0.1305      0.0587
Difference        2.9430      1.3823      0.0718      0.0252
Proportion        0.7397      0.2511      0.0217      0.0097
Cumulative        0.7397      0.9908      1.0124      1.0222

5           6           7           8
Eigenvalue        0.0335     -0.0314     -0.0440     -0.0917
Difference        0.0649      0.0126      0.0477
Proportion        0.0056     -0.0052     -0.0073     -0.0152
Cumulative        1.0277      1.0225      1.0152      1.0000
```
`             2 factors will be retained by the NFACTOR criterion.`

`                                Factor Pattern`
```                      FACTOR1   FACTOR2

VAR1         86 *     -33       Height
VAR2         85 *     -41       Arm span
VAR3         81 *     -41       Length of forearm
VAR4         83 *     -34       Length of lower leg
VAR5         75 *      56       Weight
VAR6         64 *      51       Bitrochanteric diameter
VAR7         56        49       Chest girth
VAR8         62 *      37       Chest width
```
```NOTE: Printed values are multiplied by 100 and rounded to the nearest
integer.  Values greater than 0.610763 have been flagged by an '*'.```

`                      Variance explained by each factor`
```                                FACTOR1   FACTOR2
4.455751  1.512747```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                 2
See pp 154-155 of Harman: Modern Factor Analysis, 2nd Ed.
```
```Initial Factor Method: Principal Factors

Final Communality Estimates: Total = 5.968498```

`                         VAR1      VAR2      VAR3      VAR4`
```                     0.844344  0.892132  0.825951  0.795884
```
`                         VAR5      VAR6      VAR7      VAR8`
```                     0.873330  0.663143  0.552635  0.521080
```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                 3
Varimax rotation:  Harman, page 309
```
```Rotation Method: Varimax

Orthogonal Transformation Matrix```
```                                       1         2

1      0.78298   0.62205
2     -0.62205   0.78298
```
`                            Rotated Factor Pattern`
```                      FACTOR1   FACTOR2

VAR1       0.87616   0.27693    Height
VAR2       0.92214   0.20441    Arm span
VAR3       0.89067   0.18070    Length of forearm
VAR4       0.85680   0.24854    Length of lower leg
VAR5       0.23489   0.90452    Weight
VAR6       0.18341   0.79341    Bitrochanteric diameter
VAR7       0.13515   0.73101    Chest girth
VAR8       0.25393   0.67572    Chest width
```
`                      Variance explained by each factor`
```                                FACTOR1   FACTOR2
3.316972  2.651526
```
```
Final Communality Estimates: Total = 5.968498```

`                         VAR1      VAR2      VAR3      VAR4`
```                     0.844344  0.892132  0.825951  0.795884
```
`                         VAR5      VAR6      VAR7      VAR8`
```                     0.873330  0.663143  0.552635  0.521080
```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                 4
Varimax rotation:  Harman, page 309
```
```Rotation Method: Varimax
```
```                Plot of Factor Pattern for FACTOR1 and FACTOR2

FACTOR1
1

.9    CB A
D
.8

.7

.6

.5

.4

.3
H      E
.2                      F
G          F
.1                               A
C
-1 -.9-.8-.7-.6-.5-.4-.3-.2-.1  0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T
O
-.1                               R
2
-.2

-.3

-.4

-.5

-.6

-.7

-.8

-.9

-1

VAR1    =A    VAR2    =B    VAR3    =C    VAR4    =D    VAR5    =E
VAR6    =F    VAR7    =G    VAR8    =H```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                 5
PROMAX ROTATION
```
```Prerotation Method: Varimax

Orthogonal Transformation Matrix```
```                                       1         2

1      0.78298   0.62205
2     -0.62205   0.78298
```
`                            Rotated Factor Pattern`
```                      FACTOR1   FACTOR2

VAR1       0.87616   0.27693    Height
VAR2       0.92214   0.20441    Arm span
VAR3       0.89067   0.18070    Length of forearm
VAR4       0.85680   0.24854    Length of lower leg
VAR5       0.23489   0.90452    Weight
VAR6       0.18341   0.79341    Bitrochanteric diameter
VAR7       0.13515   0.73101    Chest girth
VAR8       0.25393   0.67572    Chest width
```
`                      Variance explained by each factor`
```                                FACTOR1   FACTOR2
3.316972  2.651526
```
```
Final Communality Estimates: Total = 5.968498```

`                         VAR1      VAR2      VAR3      VAR4`
```                     0.844344  0.892132  0.825951  0.795884
```
`                         VAR5      VAR6      VAR7      VAR8`
```                     0.873330  0.663143  0.552635  0.521080
```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                 6
PROMAX ROTATION
```
```Prerotation Method: Varimax
```
```                Plot of Factor Pattern for FACTOR1 and FACTOR2

FACTOR1
1

.9    CB A
D
.8

.7

.6

.5

.4

.3
H      E
.2                      F
G          F
.1                               A
C
-1 -.9-.8-.7-.6-.5-.4-.3-.2-.1  0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0T
O
-.1                               R
2
-.2

-.3

-.4

-.5

-.6

-.7

-.8

-.9

-1

VAR1    =A    VAR2    =B    VAR3    =C    VAR4    =D    VAR5    =E
VAR6    =F    VAR7    =G    VAR8    =H```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                 7
PROMAX ROTATION
```
```Rotation Method: Promax

Target Matrix for Procrustean Transformation```
```                      FACTOR1   FACTOR2

VAR1       0.92097   0.02879    Height
VAR2       0.98861   0.01066    Arm span
VAR3       1.00000   0.00827    Length of forearm
VAR4       0.94111   0.02274    Length of lower leg
VAR5       0.01687   0.95363    Weight
VAR6       0.01214   0.97270    Bitrochanteric diameter
VAR7       0.00638   1.00000    Chest girth
VAR8       0.04624   0.86267    Chest width
```
`                      Procrustean Transformation Matrix`
```                                       1         2

1      1.15269  -0.30866
2     -0.27144   1.28529
```
`                   Normalized Oblique Transformation Matrix`
```                                       1         2

1      0.69383   0.47262
2     -0.87906   1.01528
```
`                          Inter-factor Correlations`
```                                    FACTOR1   FACTOR2

FACTOR1    1.00000   0.45017
FACTOR2    0.45017   1.00000
```
`                    Rotated Factor Pattern (Std Reg Coefs)`
```                      FACTOR1   FACTOR2

VAR1       0.88399   0.07244    Height
VAR2       0.95273  -0.01855    Arm span
VAR3       0.92452  -0.03615    Length of forearm
VAR4       0.87018   0.04659    Length of lower leg
VAR5       0.02387   0.92353    Weight
VAR6      -0.00373   0.81601    Bitrochanteric diameter
VAR7      -0.04032   0.76067    Chest girth
VAR8       0.10335   0.66941    Chest width```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                 8
PROMAX ROTATION
```
```Rotation Method: Promax

Reference Axis Correlations```
```                                    FACTOR1   FACTOR2

FACTOR1    1.00000  -0.45017
FACTOR2   -0.45017   1.00000
```
`                Reference Structure (Semipartial Correlations)`
```                      FACTOR1   FACTOR2

VAR1       0.78936   0.06468    Height
VAR2       0.85074  -0.01657    Arm span
VAR3       0.82554  -0.03228    Length of forearm
VAR4       0.77702   0.04160    Length of lower leg
VAR5       0.02131   0.82466    Weight
VAR6      -0.00333   0.72865    Bitrochanteric diameter
VAR7      -0.03600   0.67924    Chest girth
VAR8       0.09228   0.59775    Chest width
```
`         Variance explained by each factor eliminating other factors`
```                                FACTOR1   FACTOR2
2.642402  2.036899
```
`                       Factor Structure (Correlations)`
```                      FACTOR1   FACTOR2

VAR1       0.91660   0.47038    Height
VAR2       0.94438   0.41034    Arm span
VAR3       0.90825   0.38004    Length of forearm
VAR4       0.89115   0.43832    Length of lower leg
VAR5       0.43961   0.93428    Weight
VAR6       0.36361   0.81433    Bitrochanteric diameter
VAR7       0.30211   0.74252    Chest girth
VAR8       0.40469   0.71594    Chest width
```
`           Variance explained by each factor ignoring other factors`
```                                FACTOR1   FACTOR2
3.931599  3.326096```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                 9
PROMAX ROTATION
```
```Rotation Method: Promax

Final Communality Estimates: Total = 5.968498```

`                         VAR1      VAR2      VAR3      VAR4`
```                     0.844344  0.892132  0.825951  0.795884
```
`                         VAR5      VAR6      VAR7      VAR8`
```                     0.873330  0.663143  0.552635  0.521080
```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                10
PROMAX ROTATION
```
```Rotation Method: Promax
```
```             Plot of Reference Structure for FACTOR1 and FACTOR2
Reference Axis Correlation = -0.4502  Angle = 116.7544

FACTOR1
1

.9
B
.8A

.7

.6

.5

.4

.3

.2
F
.1                H              A
C
-1 -.9-.8-.7-.6-.5-.4-.3-.2-.1  0 .1 .2 .3 .4 .5 .6 .F .E .9 1.0T
G           O
-.1                               R
2
-.2

-.3

-.4

-.5

-.6

-.7

-.8

-.9

-1

VAR1    =A    VAR2    =B    VAR3    =B    VAR4    =A    VAR5    =E
VAR6    =F    VAR7    =G    VAR8    =H```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                11
PROCRUSTES ROTATION
```
```Rotation Method: Procrustes

Target Matrix for Procrustean Transformation```
```                      FACTOR1   FACTOR2

VAR1       1.00000   0.00000    Height
VAR2       1.00000   0.00000    Arm span
VAR3       1.00000   0.00000    Length of forearm
VAR4       1.00000   0.00000    Length of lower leg
VAR5       0.00000   1.00000    Weight
VAR6       0.00000   1.00000    Bitrochanteric diameter
VAR7       0.00000   1.00000    Chest girth
VAR8       0.00000   1.00000    Chest width
```
`                      Procrustean Transformation Matrix`
```                                       1         2

1      0.75020   0.57530
2     -0.98674   1.27493
```
`                   Normalized Oblique Transformation Matrix`
```                                       1         2

1      0.68847   0.46788
2     -0.90555   1.03687
```
`                          Inter-factor Correlations`
```                                    FACTOR1   FACTOR2

FACTOR1    1.00000   0.47667
FACTOR2    0.47667   1.00000
```
`                    Rotated Factor Pattern (Std Reg Coefs)`
```                      FACTOR1   FACTOR2

VAR1       0.88809   0.06129    Height
VAR2       0.95914  -0.03151    Arm span
VAR3       0.93111  -0.04889    Length of forearm
VAR4       0.87472   0.03537    Length of lower leg
VAR5       0.00498   0.93214    Weight
VAR6      -0.02057   0.82394    Bitrochanteric diameter
VAR7      -0.05626   0.76856    Chest girth
VAR8       0.09020   0.67449    Chest width```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                12
PROCRUSTES ROTATION
```
```Rotation Method: Procrustes

Reference Axis Correlations```
```                                    FACTOR1   FACTOR2

FACTOR1    1.00000  -0.47667
FACTOR2   -0.47667   1.00000
```
`                Reference Structure (Semipartial Correlations)`
```                      FACTOR1   FACTOR2

VAR1       0.78070   0.05388    Height
VAR2       0.84316  -0.02770    Arm span
VAR3       0.81852  -0.04298    Length of forearm
VAR4       0.76895   0.03110    Length of lower leg
VAR5       0.00438   0.81943    Weight
VAR6      -0.01809   0.72431    Bitrochanteric diameter
VAR7      -0.04945   0.67563    Chest girth
VAR8       0.07929   0.59294    Chest width
```
`         Variance explained by each factor eliminating other factors`
```                                FACTOR1   FACTOR2
2.590765  2.010625
```
`                       Factor Structure (Correlations)`
```                      FACTOR1   FACTOR2

VAR1       0.91730   0.48461    Height
VAR2       0.94412   0.42568    Arm span
VAR3       0.90780   0.39494    Length of forearm
VAR4       0.89158   0.45232    Length of lower leg
VAR5       0.44930   0.93451    Weight
VAR6       0.37217   0.81413    Bitrochanteric diameter
VAR7       0.31009   0.74175    Chest girth
VAR8       0.41171   0.71749    Chest width
```
`           Variance explained by each factor ignoring other factors`
```                                FACTOR1   FACTOR2
3.957873  3.377733```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                13
PROCRUSTES ROTATION
```
```Rotation Method: Procrustes

Final Communality Estimates: Total = 5.968498```

`                         VAR1      VAR2      VAR3      VAR4`
```                     0.844344  0.892132  0.825951  0.795884
```
`                         VAR5      VAR6      VAR7      VAR8`
```                     0.873330  0.663143  0.552635  0.521080
```

```                  EIGHT PHYSICAL VARIABLES: Rotation Methods                14
PROCRUSTES ROTATION
```
```Rotation Method: Procrustes
```
```             Plot of Reference Structure for FACTOR1 and FACTOR2
Reference Axis Correlation = -0.4767  Angle = 118.4679

FACTOR1
1

.9
B
C.8A
D
.7

.6

.5

.4

.3

.2
F
.1                H              A
C
-1 -.9-.8-.7-.6-.5-.4-.3-.2-.1  0 .1 .2 .3 .4 .5 .6 .F .E .9 1.0T
G           O
-.1                               R
2
-.2

-.3

-.4

-.5

-.6

-.7

-.8

-.9

-1

VAR1    =A    VAR2    =B    VAR3    =C    VAR4    =D    VAR5    =E
VAR6    =F    VAR7    =G    VAR8    =H```