## Output from probe1.sas

Source
0 Graphs

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)              1
```
`                     SUBJNO    P1    P2    P3    P4    P5`
```                        1      51    36    50    35    42
2      27    20    26    17    27
3      37    22    41    37    30
4      42    36    32    34    27
5      27    18    33    14    29
6      43    32    43    35    40
7      41    22    36    25    38
8      38    21    31    20    16
9      36    23    27    25    28
10      26    31    31    32    36
11      29    20    25    26    25```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)              2
```
`               Variable  Label               Mean       Std Dev`
```               ------------------------------------------------
P1        Position 1    36.0909091     8.0678937
P2        Position 2    25.5454545     6.7876894
P3        Position 3    34.0909091     7.7904370
P4        Position 4    27.2727273     7.9257922
P5        Position 5    30.7272727     7.6300840
------------------------------------------------```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)              3
```
```          Plot of SPEED1*_NAME_.  Legend: A = 1 obs, B = 2 obs, etc.

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---+-------------+-------------+-------------+-------------+--
P1            P2            P3            P4            P5

Sentence Position

```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)              4
Single Sample Profile Analysis (flat profile)
```
```                       General Linear Models Procedure
```
```                   Number of observations in data set = 11

```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)              5
Single Sample Profile Analysis (flat profile)
```
```                       General Linear Models Procedure
Repeated Measures Analysis of Variance
Repeated Measures Level Information

Dependent Variable         P1       P2       P3       P4       P5

Level of POSITION          1        2        3        4        5

```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)              6
Single Sample Profile Analysis (flat profile)
```
```                       General Linear Models Procedure
Repeated Measures Analysis of Variance

Partial Correlation Coefficients from the Error SS&CP Matrix / Prob > |r|

DF = 10           P1        P2        P3        P4        P5
```
`         P1          1.000000  0.614390  0.757185  0.575073  0.413057`
```                       0.0001    0.0443    0.0070    0.0642    0.2067
```
`         P2          0.614390  1.000000  0.547390  0.749777  0.547660`
```                       0.0443    0.0001    0.0813    0.0079    0.0812
```
`         P3          0.757185  0.547390  1.000000  0.605272  0.691893`
```                       0.0070    0.0813    0.0001    0.0485    0.0183
```
`         P4          0.575073  0.749777  0.605272  1.000000  0.523888`
```                       0.0642    0.0079    0.0485    0.0001    0.0981
```
`         P5          0.413057  0.547660  0.691893  0.523888  1.000000`
```                       0.2067    0.0812    0.0183    0.0981    0.0001

E = Error SS&CP Matrix

POSITI.N represents the contrast between the nth level of POSITION and the 5th
```
```                  POSITI.1         POSITI.2         POSITI.3         POSITI.4

POSITI.1      724.5454545      380.7272727      392.5454545      378.8181818
POSITI.2      380.7272727      475.6363636      176.7272727      385.0909091
POSITI.3      392.5454545      176.7272727      366.5454545      227.8181818
POSITI.4      378.8181818      385.0909091      227.8181818      576.7272727

```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)              7
Single Sample Profile Analysis (flat profile)
```
```                       General Linear Models Procedure
Repeated Measures Analysis of Variance

Partial Correlation Coefficients from the Error SS&CP Matrix
of the Variables Defined by the Specified Transformation / Prob > |r|```
```              DF = 10     POSITI.1  POSITI.2  POSITI.3  POSITI.4

POSITI.1    1.000000  0.648550  0.761716  0.586020```
```                            0.0001    0.0309    0.0064    0.0581
```
`              POSITI.2    0.648550  1.000000  0.423255  0.735259`
```                            0.0309    0.0001    0.1946    0.0099
```
`              POSITI.3    0.761716  0.423255  1.000000  0.495495`
```                            0.0064    0.1946    0.0001    0.1212
```
`              POSITI.4    0.586020  0.735259  0.495495  1.000000`
```                            0.0581    0.0099    0.1212    0.0001

Test for Sphericity: Mauchly's Criterion = 0.0879791
Chisquare Approximation = 20.458026 with 9 df   Prob > Chisquare = 0.0153

Applied to Orthogonal Components:
Test for Sphericity: Mauchly's Criterion = 0.4796455
Chisquare Approximation = 6.1837927 with 9 df   Prob > Chisquare = 0.7214

H = Type III SS&CP Matrix for POSITION
POSITI.N represents the contrast between the nth level of POSITION and the 5th
```
```                  POSITI.1         POSITI.2         POSITI.3         POSITI.4

POSITI.1     316.45454545     -305.7272727     198.45454545     -203.8181818
POSITI.2     -305.7272727     295.36363636     -191.7272727     196.90909091
POSITI.3     198.45454545     -191.7272727     124.45454545     -127.8181818
POSITI.4     -203.8181818     196.90909091     -127.8181818     131.27272727

```
```               Manova Test Criteria and Exact F Statistics for
the Hypothesis of no POSITION Effect
H = Type III SS&CP Matrix for POSITION   E = Error SS&CP Matrix```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)              8
Single Sample Profile Analysis (flat profile)
```
```                       General Linear Models Procedure
Repeated Measures Analysis of Variance

S=1    M=1    N=2.5

Statistic                     Value          F      Num DF    Den DF  Pr > F
```
``` Wilks' Lambda              0.24822547     5.3000         4         7  0.0277
Pillai's Trace             0.75177453     5.3000         4         7  0.0277
Hotelling-Lawley Trace     3.02859542     5.3000         4         7  0.0277
Roy's Greatest Root        3.02859542     5.3000         4         7  0.0277```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)              9
Test of sentence structure hypotheses (POSITION contrasts)
```
```                       General Linear Models Procedure
```
```                   Number of observations in data set = 11
```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)             10
Test of sentence structure hypotheses (POSITION contrasts)
```
```                       General Linear Models Procedure
Multivariate Analysis of Variance

M Matrix Describing Transformed Variables
```
```                   P1            P2            P3            P4            P5

SUBPRED             1             1            -1            -1             0
ADJNOUN             1            -1             1            -1             0
SPXAN               1            -1            -1             1             0
RELPN               1             1             1             1            -4

```
```
E = Error SS&CP Matrix
```
```                  SUBPRED          ADJNOUN            SPXAN            RELPN

SUBPRED     694.18181818     54.909090909     23.818181818     562.72727273
SPXAN       23.818181818     -48.90909091     482.18181818     863.27272727
RELPN       562.72727273     53.636363636     863.27272727     6026.9090909```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)             11
Test of sentence structure hypotheses (POSITION contrasts)
```
```                       General Linear Models Procedure
Multivariate Analysis of Variance

Partial Correlation Coefficients from the Error SS&CP Matrix
of the Variables Defined by the Specified Transformation / Prob > |r|```
```              DF = 10      SUBPRED   ADJNOUN     SPXAN     RELPN

SUBPRED     1.000000  0.056294  0.041169  0.275115```
```                            0.0001    0.8694    0.9043    0.4129
```
`              ADJNOUN     0.056294  1.000000 -0.060164  0.018662`
```                            0.8694    0.0001    0.8605    0.9566
```
`              SPXAN       0.041169 -0.060164  1.000000  0.506402`
```                            0.9043    0.8605    0.0001    0.1119
```
`              RELPN       0.275115  0.018662  0.506402  1.000000`
```                            0.4129    0.9566    0.1119    0.0001

```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)             12
Test of sentence structure hypotheses (POSITION contrasts)
```
```                       General Linear Models Procedure
Multivariate Analysis of Variance

Characteristic Roots and Vectors of: E Inverse * H, where
H = Type III SS&CP Matrix for INTERCEPT   E = Error SS&CP Matrix

Variables have been transformed by the M Matrix

Characteristic   Percent                Characteristic Vector  V'EV=1
Root
RELPN
```
```    3.02859542    100.00            0.00094372     0.02510304     0.02385523
-0.00369971

0.00000000      0.00            0.03794328    -0.00049531    -0.00047069
0.00007300

0.00000000      0.00           -0.01194271     0.00494892    -0.02255171
0.01520419

0.00000000      0.00           -0.00072946    -0.00901187     0.04203549
0.00000000

```
```               Manova Test Criteria and Exact F Statistics for
the Hypothesis of no Overall INTERCEPT Effect
on the variables defined by the M Matrix Transformation
H = Type III SS&CP Matrix for INTERCEPT   E = Error SS&CP Matrix

S=1    M=1    N=2.5

Statistic                     Value          F      Num DF    Den DF  Pr > F
```
``` Wilks' Lambda              0.24822547     5.3000         4         7  0.0277
Pillai's Trace             0.75177453     5.3000         4         7  0.0277
Hotelling-Lawley Trace     3.02859542     5.3000         4         7  0.0277
Roy's Greatest Root        3.02859542     5.3000         4         7  0.0277```

```              Profile Analysis Example: PROBE1 (Timm, Ex. 3.14)             13
Test of sentence structure hypotheses (POSITION contrasts)
```
```                       General Linear Models Procedure
Multivariate Analysis of Variance

Dependent Variable: SUBPRED

Source                  DF     Type III SS    Mean Square   F Value     Pr > F
```
```INTERCEPT                1      0.81818182     0.81818182      0.01     0.9157

Error                   10    694.18181818    69.41818182```
```

Source                  DF     Type III SS    Mean Square   F Value     Pr > F
```
```INTERCEPT                1    3316.4545455   3316.4545455     24.20     0.0006

Error                   10    1370.5454545    137.0545455```
```
Dependent Variable: SPXAN

Source                  DF     Type III SS    Mean Square   F Value     Pr > F
```
```INTERCEPT                1    152.81818182   152.81818182      3.17     0.1054

Error                   10    482.18181818    48.21818182```
```
Dependent Variable: RELPN

Source                  DF     Type III SS    Mean Square   F Value     Pr > F
```
```INTERCEPT                1      0.09090909     0.09090909      0.00     0.9904

Error                   10   6026.90909091   602.69090909

```