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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 | | 00 0.7 + 00 | 00 | 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 | 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.