The FREQ Procedure Table of BA by TDZ BA TDZ Frequency| Percent | Row Pct | Col Pct | 0| 0.2| 2| 20| Total ---------+--------+--------+--------+--------+ 0 | 16 | 14 | 16 | 16 | 62 | 9.47 | 8.28 | 9.47 | 9.47 | 36.69 | 25.81 | 22.58 | 25.81 | 25.81 | | 36.36 | 30.43 | 34.04 | 50.00 | ---------+--------+--------+--------+--------+ 0.44 | 15 | 16 | 16 | 16 | 63 | 8.88 | 9.47 | 9.47 | 9.47 | 37.28 | 23.81 | 25.40 | 25.40 | 25.40 | | 34.09 | 34.78 | 34.04 | 50.00 | ---------+--------+--------+--------+--------+ 4.4 | 13 | 16 | 15 | 0 | 44 | 7.69 | 9.47 | 8.88 | 0.00 | 26.04 | 29.55 | 36.36 | 34.09 | 0.00 | | 29.55 | 34.78 | 31.91 | 0.00 | ---------+--------+--------+--------+--------+ Total 44 46 47 32 169 26.04 27.22 27.81 18.93 100.00 The FREQ Procedure Table of nonzero by BA nonzero BA Frequency| Percent | Row Pct | Col Pct | 0| 0.44| 4.4| Total ---------+--------+--------+--------+ 0 | 42 | 41 | 33 | 116 | 24.85 | 24.26 | 19.53 | 68.64 | 36.21 | 35.34 | 28.45 | | 67.74 | 65.08 | 75.00 | ---------+--------+--------+--------+ 1 | 20 | 22 | 11 | 53 | 11.83 | 13.02 | 6.51 | 31.36 | 37.74 | 41.51 | 20.75 | | 32.26 | 34.92 | 25.00 | ---------+--------+--------+--------+ Total 62 63 44 169 36.69 37.28 26.04 100.00 The FREQ Procedure Statistics for Table of nonzero by BA Statistic DF Value Prob ------------------------------------------------------ Chi-Square 2 1.2211 0.5431 Likelihood Ratio Chi-Square 2 1.2491 0.5355 Mantel-Haenszel Chi-Square 1 1.0321 0.3097 Phi Coefficient 0.0850 Contingency Coefficient 0.0847 Cramer's V 0.0850 Statistic Value ASE ------------------------------------------------------ Gamma -0.0913 0.1333 Kendall's Tau-b -0.0485 0.0709 Stuart's Tau-c -0.0517 0.0756 Somers' D C|R -0.0600 0.0877 Somers' D R|C -0.0392 0.0573 Pearson Correlation -0.0784 0.0735 Spearman Correlation -0.0514 0.0751 Lambda Asymmetric C|R 0.0094 0.0855 Lambda Asymmetric R|C 0.0000 0.0000 Lambda Symmetric 0.0063 0.0571 Uncertainty Coefficient C|R 0.0034 0.0060 Uncertainty Coefficient R|C 0.0059 0.0105 Uncertainty Coefficient Symmetric 0.0043 0.0076 Sample Size = 169 The FREQ Procedure Summary Statistics for nonzero by BA Cochran-Mantel-Haenszel Statistics (Based on Table Scores) Statistic Alternative Hypothesis DF Value Prob --------------------------------------------------------------- 1 Nonzero Correlation 1 1.0321 0.3097 2 Row Mean Scores Differ 1 1.0321 0.3097 3 General Association 2 1.2139 0.5450 Total Sample Size = 169 Table 1 of BA by TDZ Controlling for nonzero=0 BA TDZ Frequency| Percent | Row Pct | Col Pct | 0| 0.2| 2| 20| Total ---------+--------+--------+--------+--------+ 0 | 15 | 6 | 10 | 11 | 42 | 12.93 | 5.17 | 8.62 | 9.48 | 36.21 | 35.71 | 14.29 | 23.81 | 26.19 | | 45.45 | 20.00 | 33.33 | 47.83 | ---------+--------+--------+--------+--------+ 0.44 | 9 | 11 | 9 | 12 | 41 | 7.76 | 9.48 | 7.76 | 10.34 | 35.34 | 21.95 | 26.83 | 21.95 | 29.27 | | 27.27 | 36.67 | 30.00 | 52.17 | ---------+--------+--------+--------+--------+ 4.4 | 9 | 13 | 11 | 0 | 33 | 7.76 | 11.21 | 9.48 | 0.00 | 28.45 | 27.27 | 39.39 | 33.33 | 0.00 | | 27.27 | 43.33 | 36.67 | 0.00 | ---------+--------+--------+--------+--------+ Total 33 30 30 23 116 28.45 25.86 25.86 19.83 100.00 The FREQ Procedure Statistics for Table 1 of BA by TDZ Controlling for nonzero=0 Statistic DF Value Prob ------------------------------------------------------ Chi-Square 6 16.1984 0.0127 Likelihood Ratio Chi-Square 6 22.4723 0.0010 Mantel-Haenszel Chi-Square 1 10.6447 0.0011 Phi Coefficient 0.3737 Contingency Coefficient 0.3500 Cramer's V 0.2642 Statistic Value ASE ------------------------------------------------------ Gamma -0.1221 0.1076 Kendall's Tau-b -0.0875 0.0772 Stuart's Tau-c -0.0923 0.0817 Somers' D C|R -0.0928 0.0820 Somers' D R|C -0.0825 0.0728 Pearson Correlation -0.3042 0.0430 Spearman Correlation -0.0988 0.0913 Lambda Asymmetric C|R 0.0843 0.0756 Lambda Asymmetric R|C 0.1216 0.1005 Lambda Symmetric 0.1019 0.0762 Uncertainty Coefficient C|R 0.0703 0.0179 Uncertainty Coefficient R|C 0.0886 0.0227 Uncertainty Coefficient Symmetric 0.0784 0.0200 Sample Size = 116 The FREQ Procedure Table 2 of BA by TDZ Controlling for nonzero=1 BA TDZ Frequency| Percent | Row Pct | Col Pct | 0| 0.2| 2| 20| Total ---------+--------+--------+--------+--------+ 0 | 1 | 8 | 6 | 5 | 20 | 1.89 | 15.09 | 11.32 | 9.43 | 37.74 | 5.00 | 40.00 | 30.00 | 25.00 | | 9.09 | 50.00 | 35.29 | 55.56 | ---------+--------+--------+--------+--------+ 0.44 | 6 | 5 | 7 | 4 | 22 | 11.32 | 9.43 | 13.21 | 7.55 | 41.51 | 27.27 | 22.73 | 31.82 | 18.18 | | 54.55 | 31.25 | 41.18 | 44.44 | ---------+--------+--------+--------+--------+ 4.4 | 4 | 3 | 4 | 0 | 11 | 7.55 | 5.66 | 7.55 | 0.00 | 20.75 | 36.36 | 27.27 | 36.36 | 0.00 | | 36.36 | 18.75 | 23.53 | 0.00 | ---------+--------+--------+--------+--------+ Total 11 16 17 9 53 20.75 30.19 32.08 16.98 100.00 The FREQ Procedure Statistics for Table 2 of BA by TDZ Controlling for nonzero=1 Statistic DF Value Prob ------------------------------------------------------ Chi-Square 6 7.9422 0.2424 Likelihood Ratio Chi-Square 6 10.4738 0.1061 Mantel-Haenszel Chi-Square 1 3.0568 0.0804 Phi Coefficient 0.3871 Contingency Coefficient 0.3610 Cramer's V 0.2737 WARNING: 67% of the cells have expected counts less than 5. Chi-Square may not be a valid test. Statistic Value ASE ------------------------------------------------------ Gamma -0.3215 0.1434 Kendall's Tau-b -0.2250 0.1026 Stuart's Tau-c -0.2318 0.1074 Somers' D C|R -0.2406 0.1102 Somers' D R|C -0.2105 0.0957 Pearson Correlation -0.2425 0.0556 Spearman Correlation -0.2617 0.1197 Lambda Asymmetric C|R 0.0556 0.1010 Lambda Asymmetric R|C 0.1290 0.1412 Lambda Symmetric 0.0896 0.1034 Uncertainty Coefficient C|R 0.0730 0.0310 Uncertainty Coefficient R|C 0.0933 0.0398 Uncertainty Coefficient Symmetric 0.0819 0.0348 Sample Size = 53 The FREQ Procedure Summary Statistics for BA by TDZ Controlling for nonzero Cochran-Mantel-Haenszel Statistics (Based on Table Scores) Statistic Alternative Hypothesis DF Value Prob --------------------------------------------------------------- 1 Nonzero Correlation 1 13.6915 0.0002 2 Row Mean Scores Differ 2 13.8056 0.0010 3 General Association 6 14.6144 0.0235 Total Sample Size = 169 The LOGISTIC Procedure Model Information Data Set WORK.DAT Response Variable nonzero Number of Response Levels 2 Number of Observations 169 Link Function Logit Optimization Technique Fisher's scoring Response Profile Ordered Total Value nonzero Frequency 1 0 116 2 1 53 Model Convergence Status Convergence criterion (GCONV=1E-8) satisfied. Model Fit Statistics Intercept Intercept and Criterion Only Covariates AIC 212.222 214.724 SC 215.352 224.113 -2 Log L 210.222 208.724 Testing Global Null Hypothesis: BETA=0 Test Chi-Square DF Pr > ChiSq Likelihood Ratio 1.4981 2 0.4728 Score 1.4787 2 0.4774 Wald 1.4685 2 0.4799 The LOGISTIC Procedure Analysis of Maximum Likelihood Estimates Parameter Standard Wald Standardized Odds Variable DF Estimate Error Chi-Square Pr > ChiSq Estimate Ratio Intercept 1 0.5783 0.2374 5.9321 0.0149 BA 1 0.1123 0.0973 1.3330 0.2483 0.1145 1.119 TDZ 1 0.0150 0.0230 0.4241 0.5149 0.0629 1.015 Association of Predicted Probabilities and Observed Responses Percent Concordant 48.3 Somers' D 0.084 Percent Discordant 39.9 Gamma 0.095 Percent Tied 11.7 Tau-a 0.036 Pairs 6148 c 0.542 The GENMOD Procedure Model Information Data Set WORK.DAT Distribution Normal Link Function Identity Dependent Variable nonzero Observations Used 169 Class Level Information Class Levels Values BA 3 0 4.4 0.44 TDZ 4 0 2 20 0.2 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 158 33.6686 0.2131 Scaled Deviance 158 169.0000 1.0696 Pearson Chi-Square 158 33.6686 0.2131 Scaled Pearson X2 158 169.0000 1.0696 Log Likelihood -103.4741 Algorithm converged. Analysis Of Parameter Estimates Wald 95% Standard Confidence Limits Chi- Parameter DF Estimate Error Lower Upper Square Intercept 1 0.3125 0.1116 0.0938 0.5312 7.84 BA*TDZ 0 0 1 -0.2500 0.1578 -0.5593 0.0593 2.51 BA*TDZ 0 2 1 0.0625 0.1578 -0.2468 0.3718 0.16 BA*TDZ 0 20 1 0.0000 0.1578 -0.3093 0.3093 0.00 BA*TDZ 0 0.2 1 0.2589 0.1633 -0.0612 0.5791 2.51 BA*TDZ 4.4 0 1 -0.0048 0.1667 -0.3315 0.3218 0.00 BA*TDZ 4.4 2 1 -0.0458 0.1604 -0.3602 0.2686 0.08 BA*TDZ 4.4 0.2 1 -0.1250 0.1578 -0.4343 0.1843 0.63 BA*TDZ 0.44 0 1 0.0875 0.1604 -0.2269 0.4019 0.30 The GENMOD Procedure Analysis Of Parameter Estimates Wald 95% Standard Confidence Limits Chi- Parameter DF Estimate Error Lower Upper Square BA*TDZ 0.44 2 1 0.1250 0.1578 -0.1843 0.4343 0.63 BA*TDZ 0.44 20 1 -0.0625 0.1578 -0.3718 0.2468 0.16 BA*TDZ 0.44 0.2 0 0.0000 0.0000 0.0000 0.0000 . Scale 1 0.4463 0.0243 0.4012 0.4966 Analysis Of Parameter Estimates Parameter Pr > ChiSq Intercept 0.0051 BA*TDZ 0 0 0.1131 BA*TDZ 0 2 0.6921 BA*TDZ 0 20 1.0000 BA*TDZ 0 0.2 0.1129 BA*TDZ 4.4 0 0.9770 BA*TDZ 4.4 2 0.7751 BA*TDZ 4.4 0.2 0.4283 BA*TDZ 0.44 0 0.5854 BA*TDZ 0.44 2 0.4283 BA*TDZ 0.44 20 0.6921 BA*TDZ 0.44 0.2 . Scale NOTE: The scale parameter was estimated by maximum likelihood.