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Women's labour-force participation, Canada 1977 1

OBS  CASE  LABOUR  HUSINC  CHILDREN  REGION  WORKING  FULLTIME  R1  R2  R3  R4
  1    1      3      15        1        3       0         .      0   0   1   0
  2    2      3      13        1        3       0         .      0   0   1   0
  3    3      3      45        1        3       0         .      0   0   1   0
  4    4      3      23        1        3       0         .      0   0   1   0
  5    5      3      19        1        3       0         .      0   0   1   0
  6    6      3       7        1        3       0         .      0   0   1   0
  7    7      3      15        1        3       0         .      0   0   1   0
  8    8      1       7        1        3       1         1      0   0   1   0
  9    9      3      15        1        3       0         .      0   0   1   0
 10   10      3      23        1        3       0         .      0   0   1   0
 11   11      3      23        1        3       0         .      0   0   1   0
 12   12      1      13        1        3       1         1      0   0   1   0
 13   13      3       9        1        4       0         .      0   0   0   1
 14   14      3       9        1        4       0         .      0   0   0   1
 15   15      3      45        1        1       0         .      1   0   0   0
 16   16      3      15        1        1       0         .      1   0   0   0
 17   17      3       5        1        3       0         .      0   0   1   0
 18   18      3       9        1        3       0         .      0   0   1   0
 19   19      3      13        1        3       0         .      0   0   1   0
 20   20      3      13        0        3       0         .      0   0   1   0
 21   21      2      19        0        3       1         0      0   0   1   0
 22   22      3      23        1        4       0         .      0   0   0   1
 23   23      1      10        0        4       1         1      0   0   0   1
 24   24      1      11        0        3       1         1      0   0   1   0
 25   25      3      23        1        3       0         .      0   0   1   0
 26   26      3      23        1        3       0         .      0   0   1   0
 27   27      3      19        1        3       0         .      0   0   1   0
 28   28      3      19        1        3       0         .      0   0   1   0
 29   29      3      17        1        4       0         .      0   0   0   1
 30   30      1      14        1        4       1         1      0   0   0   1
 31   31      3      13        1        3       0         .      0   0   1   0
 32   32      3      13        1        3       0         .      0   0   1   0
 33   33      3      15        1        3       0         .      0   0   1   0
 34   34      3       9        0        3       0         .      0   0   1   0
 35   35      3       9        0        3       0         .      0   0   1   0
 36   36      3      19        0        3       0         .      0   0   1   0
 37   37      3      15        1        3       0         .      0   0   1   0
 38   38      1      20        0        3       1         1      0   0   1   0
 39   39      3       9        1        1       0         .      1   0   0   0
 40   40      2       6        0        1       1         0      1   0   0   0
 41   41      3       9        1        5       0         .      0   0   0   0
 42   42      2       4        1        3       1         0      0   0   1   0
 43   43      2      28        0        3       1         0      0   0   1   0
 44   44      3      23        1        3       0         .      0   0   1   0
 45   45      2       5        1        3       1         0      0   0   1   0
 46   46      3      28        1        3       0         .      0   0   1   0
 47   47      3       7        1        3       0         .      0   0   1   0
 48   48      3       7        1        3       0         .      0   0   1   0
 49   49      3      23        1        4       0         .      0   0   0   1
 50   50      1      15        0        4       1         1      0   0   0   1

Women's labour-force participation, Canada 1977 2 All-main-effects model for Working (Full or Part)

                            The LOGISTIC Procedure
    Data Set: WORK.WLFPART
    Response Variable: WORKING
    Response Levels: 2
    Number of Observations: 263
    Link Function: Logit

                               Response Profile

                          Ordered
                            Value  WORKING     Count
                                1        1       108
                                2        0       155


     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             358.151       331.301         .
  SC              361.723       356.306         .
  -2 LOG L        356.151       317.301       38.850 with 6 DF (p=0.0001)
  Score              .             .          37.765 with 6 DF (p=0.0001)

                  Analysis of Maximum Likelihood Estimates

             Parameter Standard    Wald       Pr >    Standardized     Odds
 Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio
 INTERCPT 1     1.6097   0.5441     8.7538     0.0031            .     .
 HUSINC   1    -0.0453   0.0206     4.8568     0.0275    -0.180600    0.956
 CHILDREN 1    -1.6043   0.3019    28.2453     0.0001    -0.406258    0.201
 R1       1    -0.3420   0.5850     0.3417     0.5589    -0.060048    0.710
 R2       1    -0.5151   0.4945     1.0850     0.2976    -0.122725    0.597
 R3       1    -0.1542   0.4589     0.1129     0.7369    -0.041898    0.857
 R4       1     0.1299   0.5661     0.0527     0.8185     0.023137    1.139

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 70.7%          Somers' D = 0.428
                  Discordant = 27.9%          Gamma     = 0.434
                  Tied       =  1.5%          Tau-a     = 0.208
                  (16740 pairs)               c         = 0.714

Women's labour-force participation, Canada 1977 3 Proportional Odds Model for Fulltime/Parttime/NotWorking

                            The LOGISTIC Procedure
    Data Set: WORK.WLFPART
    Response Variable: LABOUR
    Response Levels: 3
    Number of Observations: 263
    Link Function: Logit

                               Response Profile

                          Ordered
                            Value  LABOUR     Count
                                1       1        66
                                2       2        42
                                3       3       155


               Score Test for the Proportional Odds Assumption
                  Chi-Square = 18.5641 with 2 DF (p=0.0001)

     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             504.493       449.663         .
  SC              511.637       463.952         .
  -2 LOG L        500.493       441.663       58.830 with 2 DF (p=0.0001)
  Score              .             .          54.634 with 2 DF (p=0.0001)

                  Analysis of Maximum Likelihood Estimates

             Parameter Standard    Wald       Pr >    Standardized     Odds
 Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio
 INTERCP1 1     0.9409   0.3619     6.7588     0.0093            .     .
 INTERCP2 1     1.8520   0.3773    24.1011     0.0001            .     .
 HUSINC   1    -0.0539   0.0194     7.6917     0.0055    -0.214720    0.948
 CHILDREN 1    -1.9720   0.2804    49.4660     0.0001    -0.499346    0.139

Women's labour-force participation, Canada 1977 4 Proportional Odds Model for Fulltime/Parttime/NotWorking

                            The LOGISTIC Procedure

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 70.7%          Somers' D = 0.446
                  Discordant = 26.1%          Gamma     = 0.461
                  Tied       =  3.2%          Tau-a     = 0.253
                  (19512 pairs)               c         = 0.723

Women's labour-force participation, Canada 1977 5 Nested Dichotomies

                            The LOGISTIC Procedure
    Data Set: WORK.WLFPART
    Response Variable: WORKING
    Response Levels: 2
    Number of Observations: 263
    Link Function: Logit

                               Response Profile

                          Ordered
                            Value  WORKING     Count
                                1        1       108
                                2        0       155


     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             358.151       325.733         .
  SC              361.723       336.449         .
  -2 LOG L        356.151       319.733       36.418 with 2 DF (p=0.0001)
  Score              .             .          35.713 with 2 DF (p=0.0001)

                  Analysis of Maximum Likelihood Estimates

             Parameter Standard    Wald       Pr >    Standardized     Odds
 Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio
 INTERCPT 1     1.3358   0.3838    12.1165     0.0005            .     .
 HUSINC   1    -0.0423   0.0198     4.5751     0.0324    -0.168541    0.959
 CHILDREN 1    -1.5756   0.2923    29.0651     0.0001    -0.398992    0.207

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 68.8%          Somers' D = 0.411
                  Discordant = 27.7%          Gamma     = 0.426
                  Tied       =  3.5%          Tau-a     = 0.200
                  (16740 pairs)               c         = 0.705

Women's labour-force participation, Canada 1977 6 Nested Dichotomies

            Plot of PREDICT*HUSINC.  Symbol is value of CHILDREN.

              |
          0.8 +
              |   00
              |     0
              |       00
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              |           00
          0.7 +             00
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              |                 00
              |                   0
        E     |                    00
        s     |                      0
        t 0.6 +                        0
        i     |                         00
        m     |
        a     |                             0
        t     |                              0
        e     |
        d 0.5 +
              |
        P     |                                     0
        r     |
        o     |   1
        b     |     1
        a 0.4 +      1
        b     |       11
        i     |         11
        l     |           1
        i     |            11
        t     |               1
        y 0.3 +                11
              |                  11
              |                     1
              |                      1
              |                         1
              |
          0.2 +                            1 1
              |                                1
              |
              |
              |                                        1
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          0.1 +                                               1
              ---+---------+---------+---------+---------+---------+--
                 0        10        20        30        40        50

                                  Husband's Income

NOTE: 217 obs hidden.

Women's labour-force participation, Canada 1977 7 Nested Dichotomies

                            The LOGISTIC Procedure
    Data Set: WORK.WLFPART
    Response Variable: FULLTIME
    Response Levels: 2
    Number of Observations: 108
    Link Function: Logit

                               Response Profile

                         Ordered
                           Value  FULLTIME     Count
                               1         1        66
                               2         0        42
WARNING: 155 observation(s) were deleted due to missing values for the
         response or explanatory variables.

     Model Fitting Information and Testing Global Null Hypothesis BETA=0

                              Intercept
                Intercept        and
  Criterion       Only       Covariates    Chi-Square for Covariates
  AIC             146.342       110.495         .
  SC              149.024       118.541         .
  -2 LOG L        144.342       104.495       39.847 with 2 DF (p=0.0001)
  Score              .             .          35.150 with 2 DF (p=0.0001)

                  Analysis of Maximum Likelihood Estimates

             Parameter Standard    Wald       Pr >    Standardized     Odds
 Variable DF  Estimate   Error  Chi-Square Chi-Square   Estimate      Ratio
 INTERCPT 1     3.4778   0.7671    20.5537     0.0001            .     .
 HUSINC   1    -0.1073   0.0392     7.5063     0.0061    -0.424867    0.898
 CHILDREN 1    -2.6515   0.5411    24.0135     0.0001    -0.734194    0.071

        Association of Predicted Probabilities and Observed Responses
                  Concordant = 82.4%          Somers' D = 0.661
                  Discordant = 16.3%          Gamma     = 0.670
                  Tied       =  1.3%          Tau-a     = 0.317
                  (2772 pairs)                c         = 0.831

Women's labour-force participation, Canada 1977 8 Nested Dichotomies

            Plot of PREDICT*HUSINC.  Symbol is value of CHILDREN.

              |
              |
          1.0 +
              |   000
              |       00
              |           000
              |              000
              |                 00
              |                   00
        E 0.8 +                     00
        s     |
        t     |                        00
        i     |                          0
        m     |   1
        a     |
        t     |     1                       00
        e 0.6 +      1
        d     |       1
              |        1
        P     |         1
        r     |          1
        o     |           1
        b     |            1                        0
        a 0.4 +             1
        b     |               1
        i     |                1
        l     |                 1
        i     |                  1
        t     |                   1
        y     |                     1
          0.2 +                      1
              |                         1
              |
              |                            1 1
              |                                1
              |
              |                                        1      1
          0.0 +
              |
              ---+---------+---------+---------+---------+---------+--
                 0        10        20        30        40        50

                                  Husband's Income

NOTE: 217 obs hidden.