20 Feb 98 SPSS for Unix, Release 5.0 (IBM RS/6000)                        Page 1
18:12:32  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


For IBM AIX 3.2.        sigma.oac.ucla.edu                      SPSS ID 265665

-> title 'ATI example -- Pedhazur data p. 464'.
-> comment ATI= aptitude x treatment interaction.
-> DATA LIST  RECORDS=1
->         /Y 1 X1 2 X3 3-4.

This command will read 1 records from the command file

Variable   Rec   Start     End         Format

Y            1       1       1         F1.0
X1           1       2       2         F1.0
X3           1       3       4         F2.0

-> begin data.
-> 2105
-> 1107
-> 2110
-> 2115
-> 3117
-> 3120
-> 3125
-> 4123
-> 4127
-> 5130
-> 6135
-> 5137
-> 5140
-> 5142
-> 6145
-> 6147
-> 6150
-> 7155
-> 7160
-> 6162
-> 7005
-> 7007
-> 7009
-> 6013
-> 5012
-> 6016
-> 5018
-> 5021
-> 5022
-> 4027
-> 4026
-> 3032
-> 3035
-> 2040
-> 3045
-> 2047
-> 2049
-> 1053
-> 2058
-> 1063
-> end data.

Preceding task required .03 seconds CPU time;  .15 seconds elapsed.

-> COMPUTE        X4=X1*X3.
-> VAR LABELS     Y,RATINGS OF TEACHERS/
->                X1,TEACHING STYLE/
->                X3,TOLERANCE OF AMBIGUITY/
->                X4,INTERACTION--X1*X3.
20 Feb 98 ATI example -- Pedhazur data p. 464                             Page 2
18:12:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.

-> VALUE LABELS  X1 0 'DIRECTIVE' 1 'NONDIRECTIVE'.
-> SET WIDTH=80.
-> condescriptive var=y,x3.

There are 523,688 bytes of memory available.
The largest contiguous area has 523,256 bytes.


152 bytes of memory required for the DESCRIPTIVES procedure.
8 bytes have already been acquired.
144 bytes remain to be acquired.
20 Feb 98 ATI example -- Pedhazur data p. 464                             Page 3
18:12:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.



Number of valid observations (listwise) =        40.00

                                                   Valid
Variable      Mean    Std Dev   Minimum   Maximum      N  Label

Y             4.20       1.90         1         7     40  RATINGS OF TEACHERS
X3           31.25      17.52         5        63     40  TOLERANCE OF AMBIGUIT
20 Feb 98 ATI example -- Pedhazur data p. 464                             Page 4
18:12:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


Preceding task required .03 seconds CPU time;  .04 seconds elapsed.

-> comment regression enters aptitude 1st, treatment 2nd, interaction 3rd.
-> REGRESSION      VARIABLES=Y,X1,X3,X4/
->                 STATISTICS=R,ANOVA,COEFF,CHA/
->                 DEPENDENT=Y/ENTER X3/ENTER X1/ENTER X4.

There are 523,424 bytes of memory available.
The largest contiguous area has 523,008 bytes.

     1724 bytes of memory required for REGRESSION procedure.
        0 more bytes may be needed for Residuals plots.


20 Feb 98 ATI example -- Pedhazur data p. 464                             Page 5
18:12:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *


Listwise Deletion of Missing Data

Equation Number 1    Dependent Variable..   Y   RATINGS OF TEACHERS

Block Number  1.  Method:  Enter      X3


Variable(s) Entered on Step Number
   1..    X3        TOLERANCE OF AMBIGUITY


Multiple R           .05785
R Square             .00335          R Square Change    .00335
Adjusted R Square   -.02288          F Change           .12758
Standard Error      1.91895          Signif F Change    .7229

Analysis of Variance
                    DF      Sum of Squares      Mean Square
Regression           1              .46979           .46979
Residual            38           139.93021          3.68237

F =        .12758       Signif F =  .7229


------------------ Variables in the Equation ------------------

Variable              B        SE B       Beta         T  Sig T

X3             -.006264     .017537   -.057845     -.357  .7229
(Constant)     4.395745     .626414                7.017  .0000


End Block Number   1   All requested variables entered.
20 Feb 98 ATI example -- Pedhazur data p. 464                             Page 6
18:12:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *

Equation Number 1    Dependent Variable..   Y   RATINGS OF TEACHERS

Block Number  2.  Method:  Enter      X1


Variable(s) Entered on Step Number
   2..    X1        TEACHING STYLE


Multiple R           .12571
R Square             .01580          R Square Change    .01246
Adjusted R Square   -.03740          F Change           .46827
Standard Error      1.93252          Signif F Change    .4980

Analysis of Variance
                    DF      Sum of Squares      Mean Square
Regression           2             2.21859          1.10930
Residual            37           138.18141          3.73463

F =        .29703       Signif F =  .7448


------------------ Variables in the Equation ------------------

Variable              B        SE B       Beta         T  Sig T

X3             -.007210     .017715   -.066580     -.407  .6864
X1              .419466     .612985    .111947      .684  .4980
(Constant)     4.215571     .683585                6.167  .0000


End Block Number   2   All requested variables entered.
20 Feb 98 ATI example -- Pedhazur data p. 464                             Page 7
18:12:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *

Equation Number 1    Dependent Variable..   Y   RATINGS OF TEACHERS

Block Number  3.  Method:  Enter      X4


Variable(s) Entered on Step Number
   3..    X4        INTERACTION--X1*X3


Multiple R           .95233
R Square             .90693          R Square Change    .89112
Adjusted R Square    .89917          F Change        344.67740
Standard Error       .60249          Signif F Change    .0000

Analysis of Variance
                    DF      Sum of Squares      Mean Square
Regression           3           127.33242         42.44414
Residual            36            13.06758           .36299

F =     116.92981       Signif F =  .0000


------------------ Variables in the Equation ------------------

Variable              B        SE B       Beta         T  Sig T

X3             -.106796     .007699   -.986243   -13.871  .0000
X1            -5.999715     .395057  -1.601206   -15.187  .0000
X4              .205155     .011050   2.217581    18.565  .0000
(Constant)     7.193213     .266724               26.969  .0000


End Block Number   3   All requested variables entered.
20 Feb 98 ATI example -- Pedhazur data p. 464                             Page 8
18:12:38  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


Preceding task required .03 seconds CPU time;  .05 seconds elapsed.

-> REGRESSION      SELECT X1 EQ 1/
->                 VARIABLES=Y,X3/
->                 STATISTICS=R,ANOVA,COEFF/
->                 DEPENDENT=Y/
->                 ENTER/
->                 SCATTERPLOTS (Y,X3) .

There are 523,360 bytes of memory available.
The largest contiguous area has 522,976 bytes.

     1164 bytes of memory required for REGRESSION procedure.
     3272 more bytes may be needed for Residuals plots.


20 Feb 98 ATI example -- Pedhazur data p. 464                             Page 9
18:12:39  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *


Listwise Deletion of Missing Data
   Selecting only Cases for which        X1 EQ 1

Equation Number 1    Dependent Variable..   Y   RATINGS OF TEACHERS

Block Number  1.  Method:  Enter


Variable(s) Entered on Step Number
   1..    X3        TOLERANCE OF AMBIGUITY


Multiple R           .94336
R Square             .88993
Adjusted R Square    .88381
Standard Error       .61970

Analysis of Variance
                    DF      Sum of Squares      Mean Square
Regression           1            55.88756         55.88756
Residual            18             6.91244           .38402

F =     145.53119       Signif F =  .0000


------------------ Variables in the Equation ------------------

Variable              B        SE B       Beta         T  Sig T

X3              .098359     .008153    .943361    12.064  .0000
(Constant)     1.193498     .299751                3.982  .0009


End Block Number   1   All requested variables entered.
20 Feb 98 ATI example -- Pedhazur data p. 464                            Page 10
18:12:39  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *

Equation Number 1    Dependent Variable..   Y   RATINGS OF TEACHERS


Residuals Statistics:
Selected Cases:  X1 EQ 1

              Min      Max     Mean  Std Dev   N

*PRED      1.6853   7.2918   4.4000   1.7151  20
*RESID    -1.2918   1.3639    .0000    .6032  20
*ZPRED    -1.5829   1.6861    .0000   1.0000  20
*ZRESID   -2.0845   2.2010    .0000    .9733  20

Total Cases =       20

Residuals Statistics:
Unselected Cases:  X1 NE 1

              Min      Max     Mean  Std Dev   N

*PRED      1.6853   7.3901   4.1344   1.7658  20
*RESID    -6.3901   5.3147   -.1344   3.7268  20
*ZPRED    -1.5829   1.7434   -.1548   1.0296  20
*ZRESID  -10.3117   8.5763   -.2169   6.0140  20

Total Cases =       20


Multiple R for Selected Cases =    .94336
R for Unselected Cases            -.95865
20 Feb 98 ATI example -- Pedhazur data p. 464                            Page 11
18:12:39  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.



Standardized Scatterplot             - Selected Cases
Across - X3         Down - Y
Out ++-----+-----+-----+-----+-----+-----++
  3 +                                     +   Symbols:
    |                                     |
    |                                     |      Max N
  2 +                                     +
    |                                     |   .      1.0
    |                          ..         |   :      2.0
  1 +                   .  ...   .        +
    |                                     |
    |                 .  .:               |
  0 +                                     +
    |               ..                    |
    |             ...                     |
 -1 +                                     +
    |         .. .                        |
    |                                     |
 -2 +         .                           +
    |                                     |
    |                                     |
 -3 +                                     +
Out ++-----+-----+-----+-----+-----+-----++
    -3    -2    -1     0     1     2     3 Out


Standardized Scatterplot             - Unselected Cases
Across - X3         Down - Y
Out ++-----+-----+-----+-----+-----+-----++
  3 +                                     +   Symbols:
    |                                     |
    |                                     |      Max N
  2 +                                     +
    |                                     |   .      1.0
    |         :.                          |   :      2.0
  1 +           ..                        +
    |                                     |
    |           . .:                      |
  0 +                                     +
    |                :                    |
    |                  ..  .              |
 -1 +                                     +
    |                     . ..  .         |
    |                                     |
 -2 +                         .  .        +
    |                                     |
    |                                     |
 -3 +                                     +
Out ++-----+-----+-----+-----+-----+-----++
    -3    -2    -1     0     1     2     3 Out
20 Feb 98 ATI example -- Pedhazur data p. 464                            Page 12
18:12:39  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


Preceding task required .01 seconds CPU time;  .14 seconds elapsed.

-> REGRESSION      SELECT X1 EQ 0/
->                 VARIABLES=Y,X3/
->                 STATISTICS=R,ANOVA,COEFF/
->                 DEPENDENT=Y/
->                 ENTER/
->                 SCATTERPLOTS (Y,X3) .

There are 523,360 bytes of memory available.
The largest contiguous area has 522,976 bytes.

     1164 bytes of memory required for REGRESSION procedure.
     3272 more bytes may be needed for Residuals plots.


20 Feb 98 ATI example -- Pedhazur data p. 464                            Page 13
18:12:41  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *


Listwise Deletion of Missing Data
   Selecting only Cases for which        X1 EQ 0

Equation Number 1    Dependent Variable..   Y   RATINGS OF TEACHERS

Block Number  1.  Method:  Enter


Variable(s) Entered on Step Number
   1..    X3        TOLERANCE OF AMBIGUITY


Multiple R           .95865
R Square             .91901
Adjusted R Square    .91451
Standard Error       .58477

Analysis of Variance
                    DF      Sum of Squares      Mean Square
Regression           1            69.84487         69.84487
Residual            18             6.15513           .34195

F =     204.25354       Signif F =  .0000


------------------ Variables in the Equation ------------------

Variable              B        SE B       Beta         T  Sig T

X3             -.106796     .007473   -.958651   -14.292  .0000
(Constant)     7.193213     .258880               27.786  .0000


End Block Number   1   All requested variables entered.
20 Feb 98 ATI example -- Pedhazur data p. 464                            Page 14
18:12:41  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


           * * * *   M U L T I P L E   R E G R E S S I O N   * * * *

Equation Number 1    Dependent Variable..   Y   RATINGS OF TEACHERS


Residuals Statistics:
Selected Cases:  X1 EQ 0

              Min      Max     Mean  Std Dev   N

*PRED       .4650   6.6592   4.0000   1.9173  20
*RESID     -.9214   1.0010    .0000    .5692  20
*ZPRED    -1.8437   1.3870    .0000   1.0000  20
*ZRESID   -1.5756   1.7118    .0000    .9733  20

Total Cases =       20

Residuals Statistics:
Unselected Cases:  X1 NE 0

              Min      Max     Mean  Std Dev   N

*PRED       .5718   6.6592   3.7116   1.8622  20
*RESID    -5.4456   6.2146    .6884   3.6277  20
*ZPRED    -1.7880   1.3870   -.1504    .9713  20
*ZRESID   -9.3125  10.6274   1.1771   6.2038  20

Total Cases =       20


Multiple R for Selected Cases =    .95865
R for Unselected Cases            -.94336
20 Feb 98 ATI example -- Pedhazur data p. 464                            Page 15
18:12:41  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.



Standardized Scatterplot             - Selected Cases
Across - X3         Down - Y
Out ++-----+-----+-----+-----+-----+-----++
  3 +                                     +   Symbols:
    |                                     |
    |                                     |      Max N
  2 +                                     +
    |          :.                         |   .      1.0
    |                                     |   :      2.0
  1 +            ..                       +
    |            . .:                     |
    |                                     |
  0 +                 :                   +
    |                   ..  .             |
    |                                     |
 -1 +                     .  :  .         +
    |                          .  .       |
    |                                     |
 -2 +                                     +
    |                                     |
    |                                     |
 -3 +                                     +
Out ++-----+-----+-----+-----+-----+-----++
    -3    -2    -1     0     1     2     3 Out


Standardized Scatterplot             - Unselected Cases
Across - X3         Down - Y
Out ++-----+-----+-----+-----+-----+-----++
  3 +                                     +   Symbols:
    |                                     |
    |                                     |      Max N
  2 +                                     +
    |                          . .        |   .      1.0
    |                                     |
  1 +                    .  ...   .       +
    |                  . ...              |
    |                                     |
  0 +                ..                   +
    |              ...                    |
    |                                     |
 -1 +          .. .                       +
    |          .                          |
    |                                     |
 -2 +                                     +
    |                                     |
    |                                     |
 -3 +                                     +
Out ++-----+-----+-----+-----+-----+-----++
    -3    -2    -1     0     1     2     3 Out
20 Feb 98 ATI example -- Pedhazur data p. 464                            Page 16
18:12:41  sigma.oac.ucla.edu             IBM RS/6000      IBM AIX 3.2.


Preceding task required .01 seconds CPU time;  .15 seconds elapsed.




--========================_48454142==_
Content-Type: text/plain; name="ATI.sps"; charset="us-ascii"
Content-Disposition: attachment; filename="ATI.sps"

title 'ATI example -- Pedhazur data p. 464'.
comment ATI= aptitude x treatment interaction.
DATA LIST  RECORDS=1
        /Y 1 X1 2 X3 3-4.
begin data.
2105
1107
2110
2115
3117
3120
3125
4123
4127
5130
6135
5137
5140
5142
6145
6147
6150
7155
7160
6162
7005
7007
7009
6013
5012
6016
5018
5021
5022
4027
4026
3032
3035
2040
3045
2047
2049
1053
2058
1063
end data.
COMPUTE        X4=X1*X3.
VAR LABELS     Y,RATINGS OF TEACHERS/
               X1,TEACHING STYLE/
               X3,TOLERANCE OF AMBIGUITY/
               X4,INTERACTION--X1*X3.
VALUE LABELS  X1 0 'DIRECTIVE' 1 'NONDIRECTIVE'.
SET WIDTH=80.
condescriptive var=y,x3.
comment regression enters aptitude 1st, treatment 2nd, interaction 3rd.
REGRESSION      VARIABLES=Y,X1,X3,X4/
                STATISTICS=R,ANOVA,COEFF,CHA/
                DEPENDENT=Y/ENTER X3/ENTER X1/ENTER X4.
REGRESSION      SELECT X1 EQ 1/
                VARIABLES=Y,X3/
                STATISTICS=R,ANOVA,COEFF/
                DEPENDENT=Y/
                ENTER/
                SCATTERPLOTS (Y,X3) .
REGRESSION      SELECT X1 EQ 0/
                VARIABLES=Y,X3/
                STATISTICS=R,ANOVA,COEFF/
                DEPENDENT=Y/
                ENTER/
                SCATTERPLOTS (Y,X3) .