Analysis of Data


 
	Obviously, it was impossible to use animals of the same age, average
production, somatic cell count, and body type without severely limiting the size
of the experimental group. Therefore, multiple regression analysis was chosen
to compare injected animals to un-injected ones because it allows for the
mathematical control of these factors. This was possible because all of these
co-variables were quantifiable.
Multiple regression analysis is an effective tool in controlling for the
uncontrollable, if those factors can be measured. In this case, genetics could
not be measured, but the important factors of age (measured in months), body
score (0-5, 0 being an extremely small animal), average production per lactation
period, and previous somatic cell counts (a pre-test of the response variable)
could all be measured. These values were measured prior to the start of the
experiment. This meant that the co-variables could be included in the model as
a means of removing the effects of the co-variables on the response variable.
In other words, by deriving a model using measured values for all of these
predictors, it is as if animals with the same age, same body score, same
previous production, and same previous somatic cell count were being compared.
The appropriate model assumed no interaction among six predictors. The control
and experimental groups were described in the model using binary predictors. In
one of these predictors, the data points were assigned a value of one if they
were injected and zero if they were not, and in a separate predictor, they were
assigned a value of zero if they were injected and one if they were
not. The derived coefficients of these two predictors would be the point of
comparison between the two groups of animals (injected and non-injected) while
controlling for differences in the co-variables.
                        Model #1 -- No-Interaction Model
 
 MODEL CONTAINS NO CONSTANT.
      
 DEP VAR: CURRSCC      N:      43  MULTIPLE R: 0.992  SQUARED MULTIPLE R: 0.984
 ADJUSTED SQUARED MULTIPLE R:  .982    STANDARD ERROR OF ESTIMATE:    52755.865
      
 VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
      
 INJECT             33159.253    76734.176        0.066     0.018    0.432    0.668
 NO                   -15598.810    73425.776       -0.025     0.030   -0.212    0.833
 AGE                    -473.830        621.513       -0.070     0.051   -0.762    0.451
 AVG                       -0.423            4.609       -0.015     0.016   -0.092    0.927
 PREVSCC                1.146           0.040         0.988     0.352   28.468  .10E-14
 SCORE               6722.368     9170.735         0.053     0.081    0.733    0.468
      
      
                        ANALYSIS OF VARIANCE
      
 SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
      
 REGRESSION     .646932E+13         6  .107822E+13              387.406        .999201E-15
 RESIDUAL          .102978E+12       37  .278318E+10
      
 WARNING: CASE     5 IS AN OUTLIER (STUDENTIZED RESIDUAL =       5.770)
      
 DURBIN-WATSON D STATISTIC    2.218
 FIRST ORDER AUTOCORRELATION  -.119
      

                  ESTIMATE    RESIDUAL      SEPRED
      
  CASE     1        120941.029  -11941.029   15511.158
  CASE     2        934664.821  -62331.821   27322.856
  CASE     3        285716.037   92283.963   12509.605
  CASE     4        135149.380  -37614.380   16254.103
  CASE     5        627309.428  202690.572   21732.359
  CASE     6        154643.102    21356.898   13872.129
  CASE     7        338062.367  -72062.367   17818.105
  CASE     8          55071.060  -25104.060   16223.671
  CASE     9        131265.059  -35598.059   14438.984
  CASE    10        261976.883  -12976.883   14347.110
  CASE    11        141842.391   42692.609   13824.549
  CASE    12         51010.890  -24010.890   30453.043
  CASE    13        401071.475   66928.525   17714.609
  CASE    14        391215.384   19784.616   12305.566
  CASE    15        285694.310  -50694.310   10642.734
  CASE    16        109192.250    1807.750   17428.316
  CASE    17        169905.872  -32905.872   12407.452
  CASE    18        107690.283  -34690.283   13679.962
  CASE    19        325783.538     -783.538   11782.606
  CASE    20        522685.657  -51685.657   19220.278
  CASE    21        594140.473   33859.527   18907.035
  CASE    22        944374.894  -10374.894   25020.089
  CASE    23        843930.630   34069.370   27741.498
  CASE    24        139350.038  -19350.038   16539.984
  CASE    25        527782.617  -15782.617   23186.197
  CASE    26         74567.134  -17567.134   24302.553
  CASE    27        219402.405   42597.595   18620.853
  CASE    28         85664.037   18335.963   18622.869
  CASE    29        127492.716   13844.284   22774.371
  CASE    30        107616.757   19383.243   22515.515
  CASE    31        261084.334   -8417.334   21965.574
  CASE    32        686904.414  -52904.414   19921.707
  CASE    33        432249.954  -36916.954   19291.712
  CASE    34        754851.085  -35851.085   25321.387
  CASE    35        155296.254   30036.746   29152.878
  CASE    36        129912.701    9087.299   18258.764
  CASE    37        154775.584   32224.416   21562.178
  CASE    38        438279.214  -23279.214   16128.906
  CASE    39        -19961.886   39294.886   26670.681
  CASE    40        220829.253   -6829.253   21146.028
  CASE    41         99189.453  -87489.453   16192.116
  CASE    42        221082.604    1917.396   19277.527
  CASE    43         71701.121   44965.879   17722.101
      
                Model #1C -- No-Interaction Model Using CONSTANT
 
 
      
 DEP VAR: CURRSCC      N:      43  MULTIPLE R: 0.981  SQUARED MULTIPLE R: 0.963
 ADJUSTED SQUARED MULTIPLE R:  .957    STANDARD ERROR OF ESTIMATE:    52755.865
      
 VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
      
 CONSTANT       -15598.810    73425.776        0.000          .      -0.212    0.833
 INJECT                48758.063    18524.094        0.094     0.789    2.632    0.012
 AGE                       -473.830        621.513       -0.027     0.804   -0.762    0.451
 AVG                          -0.423            4.609       -0.003     0.914   -0.092    0.927
 PREVSCC                   1.146           0.040         0.977     0.860   28.468  .10E-14
 SCORE                  6722.368     9170.735         0.025     0.864    0.733    0.468

   
                        ANALYSIS OF VARIANCE
      
 SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
      
 REGRESSION     .264634E+13         5    .529267E+12           190.166       .999201E-15
 RESIDUAL          .102978E+12       37    .278318E+10
      
 WARNING: CASE     5 IS AN OUTLIER (STUDENTIZED RESIDUAL =       5.770)
      
 DURBIN-WATSON D STATISTIC    2.218
 FIRST ORDER AUTOCORRELATION  -.119
      

                  ESTIMATE    RESIDUAL      SEPRED
      
  CASE     1        120941.029  -11941.029   15511.158
  CASE     2        934664.821  -62331.821   27322.856
  CASE     3        285716.037   92283.963   12509.605
  CASE     4        135149.380  -37614.380   16254.103
  CASE     5        627309.428  202690.572   21732.359
  CASE     6        154643.102   21356.898   13872.129
  CASE     7        338062.367  -72062.367   17818.105
  CASE     8          55071.060  -25104.060   16223.671
  CASE     9        131265.059  -35598.059   14438.984
  CASE    10        261976.883  -12976.883   14347.110
  CASE    11        141842.391   42692.609   13824.549
  CASE    12          51010.890  -24010.890   30453.043
  CASE    13        401071.475   66928.525   17714.609
  CASE    14        391215.384   19784.616   12305.566
  CASE    15        285694.310  -50694.310   10642.734
  CASE    16        109192.250     1807.750   17428.316
  CASE    17        169905.872  -32905.872   12407.452
  CASE    18        107690.283  -34690.283   13679.962
  CASE    19        325783.538     -783.538   11782.606
  CASE    20        522685.657  -51685.657   19220.278
  CASE    21        594140.473   33859.527   18907.035
  CASE    22        944374.894  -10374.894   25020.089
  CASE    23        843930.630   34069.370   27741.498
  CASE    24        139350.038  -19350.038   16539.984
  CASE    25        527782.617  -15782.617   23186.197
  CASE    26         74567.134  -17567.134   24302.553
  CASE    27        219402.405   42597.595   18620.853
  CASE    28         85664.037   18335.963   18622.869
  CASE    29        127492.716   13844.284   22774.371
  CASE    30        107616.757   19383.243   22515.515
  CASE    31        261084.334   -8417.334   21965.574
  CASE    32        686904.414  -52904.414   19921.707
  CASE    33        432249.954  -36916.954   19291.712
  CASE    34        754851.085  -35851.085   25321.387
  CASE    35        155296.254   30036.746   29152.878
  CASE    36        129912.701    9087.299   18258.764
  CASE    37        154775.584   32224.416   21562.178   
  CASE    38        438279.214  -23279.214   16128.906
  CASE    39        -19961.886   39294.886   26670.681
  CASE    40        220829.253   -6829.253   21146.028
  CASE    41         99189.453  -87489.453   16192.116
  CASE    42        221082.604    1917.396   19277.527
  CASE    43         71701.121   44965.879   17722.101
      
       Model #2 -- Comparing Means of INJECT and NO-INJECT Using CONSTANT
 
 
      
 DEP VAR: CURRSCC      N:      43  MULTIPLE R: 0.174  SQUARED MULTIPLE R: 0.030
 ADJUSTED SQUARED MULTIPLE R:  .006    STANDARD ERROR OF ESTIMATE:   255023.332
      
 VARIABLE      COEFFICIENT    STD ERROR     STD COEF     TOLERANCE    T   P(2 TAIL)
      
 CONSTANT       243904.118         61852.243         0.000                        .          3.943  .31E-03
 INJECT                89751.152         79543.191         0.174                       1.000    1.128    0.266
      
      
                        ANALYSIS OF VARIANCE
      
 SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
      
 REGRESSION     .828007E+11          1    .828007E+11            1.273       0.266
 RESIDUAL          .266651E+13        41    .650369E+11
      
      
 DURBIN-WATSON D STATISTIC    1.669
 FIRST ORDER AUTOCORRELATION   .153
      

                  ESTIMATE    RESIDUAL      SEPRED
      
  CASE     1        333655.269 -224655.269   50014.190
  CASE     2        333655.269  538677.731   50014.190
  CASE     3        333655.269   44344.731   50014.190
  CASE     4        333655.269 -236120.269   50014.190
  CASE     5        333655.269  496344.731   50014.190
  CASE     6        333655.269 -157655.269   50014.190
  CASE     7        333655.269  -67655.269   50014.190
  CASE     8        333655.269 -303688.269   50014.190
  CASE     9        333655.269 -237988.269   50014.190
  CASE    10        333655.269  -84655.269   50014.190
  CASE    11        333655.269 -149120.269   50014.190
  CASE    12        333655.269 -306655.269   50014.190
  CASE    13        333655.269  134344.731   50014.190
  CASE    14        333655.269   77344.731   50014.190
  CASE    15        333655.269  -98655.269   50014.190
  CASE    16        333655.269 -222655.269   50014.190
  CASE    17        333655.269 -196655.269   50014.190
  CASE    18        333655.269 -260655.269   50014.190
  CASE    19        333655.269   -8655.269   50014.190
  CASE    20        333655.269  137344.731   50014.190
  CASE    21        333655.269  294344.731   50014.190
  CASE    22        333655.269  600344.731   50014.190
  CASE    23        333655.269  544344.731   50014.190
  CASE    24        333655.269 -213655.269   50014.190
  CASE    25        333655.269  178344.731   50014.190
  CASE    26        333655.269 -276655.269   50014.190
  CASE    27        243904.118   18095.882   61852.243
  CASE    28        243904.118 -139904.118   61852.243
  CASE    29        243904.118 -102567.118   61852.243
  CASE    30        243904.118 -116904.118   61852.243
  CASE    31        243904.118    8762.882   61852.243
  CASE    32        243904.118  390095.882   61852.243
  CASE    33        243904.118  151428.882   61852.243
  CASE    34        243904.118  475095.882   61852.243
  CASE    35        243904.118  -58571.118   61852.243
  CASE    36        243904.118 -104904.118   61852.243
  CASE    37        243904.118  -56904.118   61852.243
  CASE    38        243904.118  171095.882   61852.243
  CASE    39        243904.118 -224571.118   61852.243
  CASE    40        243904.118  -29904.118   61852.243
  CASE    41        243904.118 -232204.118   61852.243
  CASE    42        243904.118  -20904.118   61852.243
  CASE    43        243904.118 -127237.118   61852.243
      
                  Model #3 -- Interaction Model Using CONSTANT
 
 
      
 DEP VAR: CURRSCC      N:      43  MULTIPLE R: 0.983  SQUARED MULTIPLE R: 0.967
 ADJUSTED SQUARED MULTIPLE R:  .958    STANDARD ERROR OF ESTIMATE:    52573.307
      
 VARIABLE      COEFFICIENT    STD ERROR     STD COEF    TOLERANCE    T   P(2 TAIL)
      
 CONSTANT       -18460.930           92061.043             0.000                 .           -0.201    0.842
 INJECT                85105.649         155223.832             0.165                 0.011    0.548    0.587
 AGE                       -571.391               967.321            -0.033                 0.330   -0.591    0.559
 AVG                           2.525                    6.465             0.018                 0.461    0.391    0.699
 PREVSCC                  1.040                    0.076             0.887                 0.240   13.712  .36E-14
 SCORE                 4727.349            13514.522             0.018                 0.395    0.350    0.729
 V1                          189.522              1278.405             0.021                 0.051    0.148    0.883
 V2                             -6.580                   9.573            -0.182                 0.014   -0.687    0.497
 V3                              0.147                   0.090             0.130                  0.159    1.637    0.111
 V4                        2534.843           18479.226              0.017                  0.067    0.137    0.892
      
      
                        ANALYSIS OF VARIANCE
      
 SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
      
 REGRESSION     .265810E+13          9   .295345E+12           106.856     .999201E-15
 RESIDUAL          .912104E+11        33  .276395E+10
      
 WARNING: CASE     5 IS AN OUTLIER (STUDENTIZED RESIDUAL =       5.594)
 WARNING: CASE    12 HAS LARGE LEVERAGE            (LEVERAGE =        .499)
 
WARNING: CASE    34 HAS LARGE LEVERAGE            (LEVERAGE =        .578)
 WARNING: CASE    35 HAS LARGE LEVERAGE            (LEVERAGE =        .543)
 WARNING: CASE    39 HAS LARGE LEVERAGE            (LEVERAGE =        .536)
      
 DURBIN-WATSON D STATISTIC    2.270
 FIRST ORDER AUTOCORRELATION  -.141
      

                  ESTIMATE    RESIDUAL      SEPRED
      
  CASE     1        108557.548     442.452   18015.353
  CASE     2        953924.907  -81591.907   32369.205
  CASE     3        280638.701   97361.299   13687.044
  CASE     4        122278.437  -24743.437   20458.689
  CASE     5        651293.567  178706.433   28397.687
  CASE     6        144092.015   31907.985   15584.714
  CASE     7        349037.806  -83037.806   21919.755
  CASE     8         49223.621  -19256.621   20488.491
  CASE     9        125092.256  -29425.256   17638.367
  CASE    10        259951.487  -10951.487   16900.674
  CASE    11        132120.512   52414.488   15687.088
  CASE    12         50589.030  -23589.030   37129.514
  CASE    13        397656.095   70343.905   25557.857
  CASE    14        391643.658   19356.342   13645.379
  CASE    15        284157.231  -49157.231   10785.783
  CASE    16        100745.404   10254.596   21217.283
  CASE    17        161237.485  -24237.485   13676.991
  CASE    18        101210.246  -28210.246   15916.608
  CASE    19        321736.440    3263.560   13637.008
  CASE    20        538937.694  -67937.694   25266.150
  CASE    21        608221.648   19778.352   23436.958
  CASE    22        968437.896  -34437.896   29785.374
  CASE    23        865625.913   12374.087   35143.116
  CASE    24        129973.985   -9973.985   20404.018
  CASE    25        521911.967   -9911.967   27955.830
  CASE    26         56741.451     258.549   33623.699
  CASE    27        228103.395   33896.605   25570.959
  CASE    28         92454.958   11545.042   25869.202
  CASE    29        140126.305    1210.695   29763.741
  CASE    30        111839.591   15160.409   28849.214
  CASE    31        252907.202    -240.202   25698.333
  CASE    32        642997.819   -8997.819   30399.176
  CASE    33        411827.711  -16494.711   25143.546
  CASE    34        706125.146   12874.854   39959.527
  CASE    35        169105.794   16227.206   38732.125
  CASE    36        140554.818   -1554.818   23236.647
  CASE    37        163844.013   23155.987   28712.033
  CASE    38        416047.192   -1047.192   20524.330
  CASE    39         19433.542    -100.542   38493.585
  CASE    40        226769.868  -12769.868   25562.838
  CASE    41        111166.746  -99466.746   19286.711
  CASE    42        231191.387   -8191.387   23070.453
  CASE    43         81874.514   34792.486   25295.335

HYPOTHES$   NUMCASES    PREDASSU    SSEASSUM    PREDREST
      
                  SSERESTR     NUMERDF     DENOMDF      NUMERF      DENOMF
      
                    FVALUE    CUMPROBF       PROBF     CONCLUS$   CRITVALU
      
  CASE     1             NOINT      43.000      10.000   .912104E+11       6.000
  CASE     1       .102978E+12       4.000      33.000 .294190E+10 .276395E+10
  CASE     1             1.064             0.610       0.390   FAIL AT->       0.050
      
   Model #2-AGE -- Comparing AGE Means of INJECT and NO-INJECT Using CONSTANT
 
 
      
 DEP VAR:     AGE      N:      43  MULTIPLE R: 0.234  SQUARED MULTIPLE R: 0.055
 ADJUSTED SQUARED MULTIPLE R:  .032    STANDARD ERROR OF ESTIMATE:       14.370
      
 VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
      
 CONSTANT           59.765              3.485                  0.000      .                     17.148  .10E-14
 INJECT                   -6.919               4.482                -0.234     1.000               -1.544    0.130
      
      
                        ANALYSIS OF VARIANCE
      
 SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
      
 REGRESSION         492.022              1      492.022                   2.383       0.130
 RESIDUAL            8466.443            41      206.499
      
      
 DURBIN-WATSON D STATISTIC    1.914
 FIRST ORDER AUTOCORRELATION   .022
      
 
ESTIMATE    RESIDUAL      SEPRED
      
  CASE     1            52.846     -15.846       2.818
  CASE     2            52.846     -10.846       2.818
  CASE     3            52.846     -10.846       2.818
  CASE     4            52.846      -4.846       2.818
  CASE     5            52.846       2.154       2.818
  CASE     6            52.846      -9.846       2.818
  CASE     7            52.846       7.154       2.818
  CASE     8            52.846      -9.846       2.818
  CASE     9            52.846      -8.846       2.818
  CASE    10            52.846      14.154       2.818
  CASE    11            52.846      -9.846       2.818
  CASE    12            52.846      34.154       2.818
  CASE    13            52.846      14.154       2.818
  CASE    14            52.846       4.154       2.818
  CASE    15            52.846       1.154       2.818
  CASE    16            52.846       1.154       2.818
  CASE    17            52.846       2.154       2.818
  CASE    18            52.846      -7.846       2.818
  CASE    19            52.846       4.154       2.818
  CASE    20            52.846      -6.846       2.818
  CASE    21            52.846      -8.846       2.818
  CASE    22            52.846      17.154       2.818
  CASE    23            52.846      33.154       2.818
  CASE    24            52.846     -13.846       2.818
  CASE    25            52.846     -14.846       2.818
  CASE    26            52.846      -1.846       2.818
  CASE    27            59.765     -20.765       3.485
  CASE    28            59.765       4.235       3.485
  CASE    29            59.765     -31.765       3.485
  CASE    30            59.765      -3.765       3.485
  CASE    31            59.765     -15.765       3.485
  CASE    32            59.765      10.235       3.485
  CASE    33            59.765      12.235       3.485
  CASE    34            59.765       6.235       3.485
  CASE    35            59.765      34.235       3.485
  CASE    36            59.765      -0.765       3.485
  CASE    37            59.765     -16.765       3.485
  CASE    38            59.765      14.235       3.485
  CASE    39            59.765      -6.765       3.485
  CASE    40            59.765       8.235       3.485
  CASE    41            59.765      -5.765       3.485
  CASE    42            59.765       2.235       3.485
  CASE    43            59.765      10.235       3.485
      
   Model #2-AVG -- Comparing AVG Means of INJECT and NO-INJECT Using CONSTANT
 
 
      
 DEP VAR:     AVG      N:      43  MULTIPLE R: 0.183  SQUARED MULTIPLE R: 0.033
 ADJUSTED SQUARED MULTIPLE R:  .010    STANDARD ERROR OF ESTIMATE:     1838.293
      
 VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
      
 CONSTANT        13375.118            445.852             0.000                     .        29.999  .10E-14
 INJECT                   683.036            573.374             0.183                  1.000      1.191    0.240
      
      
                        ANALYSIS OF VARIANCE
      
 SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
      
 REGRESSION     4795581.269           1     4795581.269             1.419       0.240
 RESIDUAL       .138552E+09           41     3379322.857
      
      
 DURBIN-WATSON D STATISTIC    1.752
 FIRST ORDER AUTOCORRELATION   .116
      

                  ESTIMATE    RESIDUAL      SEPRED

  CASE     1         14058.154     805.846     360.519
  CASE     2         14058.154     285.846     360.519
  CASE     3         14058.154     596.846     360.519
  CASE     4         14058.154    1535.846     360.519
  CASE     5         14058.154   -3607.154     360.519
  CASE     6         14058.154     810.846     360.519
  CASE     7         14058.154   -2702.154     360.519
  CASE     8         14058.154   -1426.154     360.519
  CASE     9         14058.154    -599.154     360.519
  CASE    10         14058.154     271.846     360.519
  CASE    11         14058.154     455.846     360.519
  CASE    12         14058.154   -1476.154     360.519
  CASE    13         14058.154    2105.846     360.519
  CASE    14         14058.154     520.846     360.519
  CASE    15         14058.154     -21.154     360.519
  CASE    16         14058.154      71.846     360.519
  CASE    17         14058.154     842.846     360.519
  CASE    18         14058.154    -674.154     360.519
  CASE    19         14058.154    1156.846     360.519
  CASE    20         14058.154   -2768.154     360.519
  CASE    21         14058.154   -1526.154     360.519
  CASE    22         14058.154    -229.154     360.519
  CASE    23         14058.154     -80.154     360.519
  CASE    24         14058.154     173.846     360.519
  CASE    25         14058.154    2990.846     360.519
  CASE    26         14058.154    2483.846     360.519
  CASE    27         13375.118     898.882     445.852
  CASE    28         13375.118   -2316.118     445.852
  CASE    29         13375.118   -1201.118     445.852
  CASE    30         13375.118   -3363.118     445.852
  CASE    31         13375.118   -3337.118     445.852
  CASE    32         13375.118    -367.118     445.852
  CASE    33         13375.118     191.882     445.852
  CASE    34         13375.118   -1006.118     445.852
  CASE    35         13375.118    3291.882     445.852
  CASE    36         13375.118     641.882     445.852
  CASE    37         13375.118     112.882     445.852
  CASE    38         13375.118    -614.118     445.852
  CASE    39         13375.118    4059.882     445.852
  CASE    40         13375.118    2348.882     445.852
  CASE    41         13375.118   -1062.118     445.852
  CASE    42         13375.118    3025.882     445.852
  CASE    43         13375.118   -1305.118     445.852
      
  Model #2-PREVSCC -- Comparing PREVSCC Means of INJECT and NO-INJECT Using CONS
 
 DEP VAR: PREVSCC      N:      43  MULTIPLE R: 0.069  SQUARED MULTIPLE R: 0.005
 ADJUSTED SQUARED MULTIPLE R:  .000    STANDARD ERROR OF ESTIMATE:   220248.908
      
 VARIABLE      COEFFICIENT    STD ERROR     STD COEF   TOLERANCE    T   P(2 TAIL)
      
 CONSTANT       240625.765          53418.207             0.000                      .       4.505  .54E-04
 INJECT                 30423.274          68696.855            0.069                  1.000    0.443    0.660
      
      
                        ANALYSIS OF VARIANCE
      
 SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
      
 REGRESSION      .951406E+10         1  .951406E+10              0.196       0.660
 RESIDUAL          .198889E+13        41  .485096E+11
      
 WARNING: CASE    22 IS AN OUTLIER (STUDENTIZED RESIDUAL =       2.722)
      
 DURBIN-WATSON D STATISTIC    1.627
 FIRST ORDER AUTOCORRELATION   .172
      

                  ESTIMATE    RESIDUAL      SEPRED
      
  CASE     1        271049.038 -188312.038   43194.365
  CASE     2        271049.038  517950.962   43194.365
  CASE     3        271049.038  -45432.038   43194.365
  CASE     4        271049.038 -179893.038   43194.365
  CASE     5        271049.038  250683.962   43194.365
  CASE     6        271049.038 -156412.038   43194.365
  CASE     7        271049.038        617.962   43194.365
  CASE     8        271049.038 -247082.038   43194.365
  CASE     9        271049.038 -176924.038   43194.365
  CASE    10        271049.038  -55933.038   43194.365
  CASE    11        271049.038 -167716.038   43194.365
  CASE    12        271049.038 -244182.038   43194.365
  CASE    13        271049.038   60283.962   43194.365
  CASE    14        271049.038   55761.962   43194.365
  CASE    15        271049.038  -40716.038   43194.365
  CASE    16        271049.038 -188873.038   43194.365
  CASE    17        271049.038 -141049.038   43194.365
  CASE    18        271049.038 -200049.038   43194.365
  CASE    19        271049.038   -4049.038   43194.365
  CASE    20        271049.038  155950.962   43194.365
  CASE    21        271049.038  217950.962   43194.365
  CASE    22        271049.038  546617.962   43194.365
  CASE    23        271049.038  465617.962   43194.365
  CASE    24        271049.038 -168716.038   43194.365
  CASE    25        271049.038  170950.962   43194.365
  CASE    26        271049.038 -237049.038   43194.365
  CASE    27        240625.765  -25845.765   53418.207
  CASE    28        240625.765 -139292.765   53418.207
  CASE    29        240625.765 -111392.765   53418.207
  CASE    30        240625.765 -117958.765   53418.207
  CASE    31        240625.765   11041.235   53418.207
  CASE    32        240625.765  388697.235   53418.207
  CASE    33        240625.765  161589.235   53418.207
  CASE    34        240625.765  457849.235   53418.207
  CASE    35        240625.765  -58170.765   53418.207
  CASE    36        240625.765 -107514.765   53418.207
  CASE    37        240625.765  -92625.765   53418.207
  CASE    38        240625.765  173249.235   53418.207
  CASE    39        240625.765 -221949.765   53418.207
  CASE    40        240625.765  -23806.765   53418.207
  CASE    41        240625.765 -125292.765   53418.207
  CASE    42        240625.765  -19949.765   53418.207
  CASE    43        240625.765 -148625.765   53418.207
      
    Model #2-SCORE -- Comparing Means of INJECT and NO-INJECT Using CONSTANT
 
 
      
 DEP VAR:   SCORE      N:      43  MULTIPLE R: 0.243  SQUARED MULTIPLE R: 0.059
 ADJUSTED SQUARED MULTIPLE R:  .036    STANDARD ERROR OF ESTIMATE:        0.938
      
 VARIABLE      COEFFICIENT    STD ERROR     STD COEF TOLERANCE    T   P(2 TAIL)
      
 CONSTANT            2.647               0.227                 0.000                      .      11.642  .14E-13
 INJECT                    0.468               0.292                 0.243                  1.000    1.602    0.117
      
      
                        ANALYSIS OF VARIANCE
      
 SOURCE       SUM-OF-SQUARES   DF  MEAN-SQUARE     F-RATIO       P
      
 REGRESSION           2.254                1        2.254                    2.565       0.117
 RESIDUAL              36.036              41        0.879
      
      
 DURBIN-WATSON D STATISTIC    2.155
 FIRST ORDER AUTOCORRELATION  -.085
      

                  ESTIMATE    RESIDUAL      SEPRED
      
  CASE     1             3.115      -0.615       0.184
  CASE     2             3.115       0.385       0.184
  CASE     3             3.115      -0.115       0.184
  CASE     4             3.115       0.885       0.184
  CASE     5             3.115       0.885       0.184
  CASE     6             3.115      -0.615       0.184
  CASE     7             3.115       0.885       0.184
  CASE     8             3.115      -0.115       0.184
  CASE     9             3.115      -0.615       0.184
  CASE    10             3.115      -0.115       0.184
  CASE    11             3.115      -0.615       0.184
  CASE    12             3.115       1.885       0.184
  CASE    13             3.115       0.885       0.184
  CASE    14             3.115      -0.615       0.184
  CASE    15             3.115      -0.115       0.184
  CASE    16             3.115      -1.115       0.184
  CASE    17             3.115      -0.115       0.184
  CASE    18             3.115      -0.115       0.184
  CASE    19             3.115      -0.115       0.184
  CASE    20             3.115       0.885       0.184
  CASE    21             3.115       0.885       0.184
  CASE    22             3.115      -1.115       0.184
  CASE    23             3.115      -1.115       0.184
  CASE    24             3.115      -1.115       0.184
  CASE    25             3.115      -1.115       0.184
  CASE    26             3.115       1.885       0.184
  CASE    27             2.647      -0.647       0.227
  CASE    28             2.647       0.353       0.227
  CASE    29             2.647      -0.647       0.227
  CASE    30             2.647      -0.647       0.227
  CASE    31             2.647      -0.647       0.227
  CASE    32             2.647       0.353       0.227
  CASE    33             2.647       1.353       0.227
  CASE    34             2.647      -1.647       0.227
  CASE    35             2.647      -0.647       0.227
  CASE    36             2.647       1.353       0.227
  CASE    37             2.647       1.353       0.227
  CASE    38             2.647       0.353       0.227
  CASE    39             2.647      -1.647       0.227
  CASE    40             2.647       1.353       0.227
  CASE    41             2.647      -0.647       0.227
  CASE    42             2.647       0.353       0.227
  CASE    43             2.647       0.353       0.227


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