Output from vision.sas

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Vision Symmetry 1

                            TABLE OF RIGHT BY LEFT
            RIGHT     LEFT

            Frequency|
            Percent  |
            Row Pct  |
            Col Pct  |       1|       2|       3|       4|  Total
            ---------+--------+--------+--------+--------+
                   1 |   1520 |    266 |    124 |     66 |   1976
                     |  20.33 |   3.56 |   1.66 |   0.88 |  26.43
                     |  76.92 |  13.46 |   6.28 |   3.34 |
                     |  79.71 |  11.97 |   4.95 |   7.85 |
            ---------+--------+--------+--------+--------+
                   2 |    234 |   1512 |    432 |     78 |   2256
                     |   3.13 |  20.22 |   5.78 |   1.04 |  30.17
                     |  10.37 |  67.02 |  19.15 |   3.46 |
                     |  12.27 |  68.05 |  17.23 |   9.27 |
            ---------+--------+--------+--------+--------+
                   3 |    117 |    362 |   1772 |    205 |   2456
                     |   1.56 |   4.84 |  23.70 |   2.74 |  32.85
                     |   4.76 |  14.74 |  72.15 |   8.35 |
                     |   6.14 |  16.29 |  70.68 |  24.38 |
            ---------+--------+--------+--------+--------+
                   4 |     36 |     82 |    179 |    492 |    789
                     |   0.48 |   1.10 |   2.39 |   6.58 |  10.55
                     |   4.56 |  10.39 |  22.69 |  62.36 |
                     |   1.89 |   3.69 |   7.14 |  58.50 |
            ---------+--------+--------+--------+--------+
            Total        1907     2222     2507      841     7477
                        25.50    29.72    33.53    11.25   100.00

Vision Symmetry 2

                    STATISTICS FOR TABLE OF RIGHT BY LEFT

            Statistic                     DF     Value        Prob
            ------------------------------------------------------
            Chi-Square                     9  8096.877       0.001
            Likelihood Ratio Chi-Square    9  6671.512       0.001
            Mantel-Haenszel Chi-Square     1  3691.289       0.001
            Phi Coefficient                      1.041
            Contingency Coefficient              0.721
            Cramer's V                           0.601

            Sample Size = 7477


                     SUMMARY STATISTICS FOR RIGHT BY LEFT

          Cochran-Mantel-Haenszel Statistics (Based on Table Scores)

        Statistic   Alternative Hypothesis    DF       Value      Prob
        --------------------------------------------------------------
           1        Nonzero Correlation        1    3691.289     0.001
           2        Row Mean Scores Differ     3    3709.397     0.001
           3        General Association        9    8095.795     0.001

        Total Sample Size = 7477


Vision Symmetry 3 Test of Marginal Homogeneity

                               CATMOD PROCEDURE
       Response: RIGHT*LEFT                  Response Levels (R)=    16
       Weight Variable: COUNT                Populations     (S)=     1
       Data Set: WOMEN                       Total Frequency (N)=  7477
       Frequency Missing: 0                  Observations  (Obs)=    16



                                         Sample
                               Sample     Size
                               ----------------
                                   1       7477



                              RESPONSE PROFILES

                            Response  RIGHT  LEFT
                            ---------------------
                                 1      1     1
                                 2      1     2
                                 3      1     3
                                 4      1     4
                                 5      2     1
                                 6      2     2
                                 7      2     3
                                 8      2     4
                                 9      3     1
                                10      3     2
                                11      3     3
                                12      3     4
                                13      4     1
                                14      4     2
                                15      4     3
                                16      4     4



                             RESPONSE FREQUENCIES

                                    Response Number
Sample        1        2        3        4        5        6        7        8
------------------------------------------------------------------------------
    1      1520      266      124       66      234     1512      432       78


Vision Symmetry 4 Test of Marginal Homogeneity

                             RESPONSE FREQUENCIES

                                    Response Number
Sample        9       10       11       12       13       14       15       16
------------------------------------------------------------------------------
    1       117      362     1772      205       36       82      179      492



         Function    Response                  DESIGN MATRIX
 Sample   Number     Function      1       2       3       4       5       6
 ---------------------------------------------------------------------------
     1         1      0.26428      1       0       0       1       0       0
               2      0.30173      0       1       0       0       1       0
               3      0.32847      0       0       1       0       0       1
               4      0.25505      1       0       0      -1       0       0
               5      0.29718      0       1       0       0      -1       0
               6      0.33529      0       0       1       0       0      -1

                          ANALYSIS-OF-VARIANCE TABLE

              Source                   DF   Chi-Square      Prob
              --------------------------------------------------
              INTERCEPT                 3     78744.17    0.0000
              SIDE                      3        11.98    0.0075

              RESIDUAL                  0          .       .


                 ANALYSIS OF WEIGHTED-LEAST-SQUARES ESTIMATES

                                              Standard    Chi-
       Effect            Parameter  Estimate    Error    Square   Prob
       ----------------------------------------------------------------
       INTERCEPT                 1    0.2597   0.00468  3073.03  0.0000
                                 2    0.2995   0.00464  4160.17  0.0000
                                 3    0.3319   0.00483  4725.25  0.0000
       SIDE                      4   0.00461   0.00194     5.65  0.0174
                                 5   0.00227   0.00255     0.80  0.3726
                                 6  -0.00341   0.00252     1.83  0.1757