hwk4-5.17 - Raw Data y 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2...

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y 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 d 10 20 30 40 50 60 70 80 90 100 110 120 130 140 Raw Data t 0 1
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Model m1 1 (t01=original t variable=indicator for tube) The LOGISTIC Procedure Model Information Data Set WORK.ONE Response Variable y Number of Response Levels 2 Model binary logit Optimization Technique Fisher's scoring Number of Observations Read 35 Number of Observations Used 35 Response Profile Ordered Total Value y Frequency 1 0 13 2 1 22 Probability modeled is y=1. Model Convergence Status Convergence criterion (GCONV=1E-8) satisfied. Model Fit Statistics Intercept Intercept and Criterion Only Covariates AIC 48.180 36.321 SC 49.735 42.542 -2 Log L 46.180 28.321 R-Square 0.3997 Max-rescaled R-Square 0.5454 Testing Global Null Hypothesis: BETA=0 Test Chi-Square DF Pr > ChiSq Likelihood Ratio 17.8588 3 0.0005 Score 13.8959 3 0.0031 Wald 8.1304 3 0.0434
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Analysis of Maximum Likelihood Estimates Standard Wald Parameter DF Estimate Error Chi-Square Pr > ChiSq Intercept 1 0.0498 1.4694 0.0011 0.9730 d 1 0.0285 0.0343 0.6899 0.4062 t01 1 -4.4721 2.4670 3.2861 0.0699 d*t01 1 0.0746 0.0578 1.6676 0.1966 Model m1 2 (t01=original t variable=indicator for tube) The LOGISTIC Procedure Association of Predicted Probabilities and Observed Responses Percent Concordant 87.8 Somers' D 0.766 Percent Discordant 11.2 Gamma 0.774 Percent Tied 1.0 Tau-a 0.368 Pairs 286 c 0.883 Profile Likelihood Confidence Interval for Parameters Parameter Estimate 95% Confidence Limits Intercept 0.0498 -3.0957 2.9604 d 0.0285 -0.0302 0.1127 t01 -4.4721 -10.6856 -0.0580 d*t01 0.0746 -0.0351 0.2169 Wald Confidence Interval for Parameters Parameter Estimate 95% Confidence Limits Intercept 0.0498 -2.8302 2.9298 d 0.0285 -0.0387 0.0957 t01 -4.4721 -9.3074 0.3632 d*t01 0.0746 -0.0386 0.1878 Partition for the Hosmer and Lemeshow Test y = 1 y = 0 Group Total Observed Expected Observed Expected 1 4 0 0.21 4 3.79 2 4 1 0.40 3 3.60 3 4 1 2.27 3 1.73 4 5 4 3.50 1 1.50
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5 4 4 3.01 0 0.99 6 4 3 3.29 1 0.71 7 4 3 3.50 1 0.50 8 4 4 3.83 0 0.17 9 2 2 1.99 0 0.01 Hosmer and Lemeshow Goodness-of-Fit Test Chi-Square DF Pr > ChiSq 5.3329 7 0.6194 Model m1 fit with PROC GENMOD 3 The GENMOD Procedure Model Information Data Set WORK.ONE Distribution Binomial Link Function
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