HW-05New

HW-05New - HOMEWORK FOR EXST 7036 (Chapter 5) Student Name:...

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HOMEWORK FOR EXST 7036 (Chapter 5) Student Name: Tanza Erlambang 5.1) For the horseshoe crab data ( www.stat.ufl.edu/~aa/introcda/appendix.html .), fit model using weight and width as predictors. The GENMOD Procedure Data Set WORK.CRAB Distribution Binomial Link Function Logit Response Variable (Events) y Response Variable (Trials) n Number of Observations Read 173 Number of Observations Used 173 Number of Events 111 Number of Trials 173 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 170 192.8919 1.1347 Scaled Deviance 170 192.8919 1.1347 Pearson Chi-Square 170 166.6790 0.9805 Scaled Pearson X2 170 166.6790 0.9805 Log Likelihood -96.4459 Algorithm converged. Analysis Of Parameter Estimates Standard Wald 95% Confidence Chi- Parameter DF Estimate Error Limits Square Pr > ChiSq Intercept 1 -9.3547 3.5281 -16.2696 -2.4398 7.03 0.0080 weight 1 0.8338 0.6716 -0.4826 2.1502 1.54 0.2145 width 1 0.3068 0.1819 -0.0498 0.6634 2.84 0.0918 Scale 0 1.0000 0.0000 1.0000 1.0000 NOTE: The scale parameter was held fixed. LR Statistics For Type 3 Analysis Chi- Source DF Square Pr > ChiSq weight 1 1.56 0.2116 width 1 2.85 0.0916 The LOGISTIC Procedure 1
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Model Information Data Set WORK.CRAB Response Variable (Events) y Response Variable (Trials) n Model binary logit Optimization Technique Fisher's scoring Number of Observations Read 173 Number of Observations Used 173 Sum of Frequencies Read 173 Sum of Frequencies Used 173 Response Profile Ordered Binary Total Value Outcome Frequency 1 Event 111 2 Nonevent 62 Model Convergence Status Convergence criterion (GCONV=1E-8) satisfied. Deviance and Pearson Goodness-of-Fit Statistics Criterion Value DF Value/DF Pr > ChiSq Deviance 174.1634 152 1.1458 0.1053 Pearson 151.7350 152 0.9983 0.4908 Number of unique profiles: 155 Model Fit Statistics Intercept Intercept and Criterion Only Covariates AIC 227.759 198.892 SC 230.912 208.352 -2 Log L 225.759 192.892 Testing Global Null Hypothesis: BETA=0 Test Chi-Square DF Pr > ChiSq Likelihood Ratio 32.8666 2 <.0001 Score 28.6640 2 <.0001 Wald 24.8328 2 <.0001 Analysis of Maximum Likelihood Estimates Standard Wald Parameter DF Estimate Error Chi-Square Pr > ChiSq Intercept 1 -9.3547 3.5281 7.0305 0.0080 weight 1 0.8338 0.6716 1.5411 0.2145 width 1 0.3068 0.1819 2.8430 0.0918 Odds Ratio Estimates 2
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Point 95% Wald Effect Estimate Confidence Limits weight 2.302 0.617 8.587 width 1.359 0.951 1.941 Association of Predicted Probabilities and Observed Responses Percent Concordant 74.8 Somers' D 0.499 Percent Discordant 24.9 Gamma 0.501 Percent Tied 0.3 Tau-a 0.231 Pairs 6882 c 0.749 a. Report the prediction equation Answer : logit ( ) π = -9.36 + 0.83 (weight) + 0.31 (width) b. Conduct a likelihood-ratio test of Ho: β
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This note was uploaded on 04/11/2010 for the course EXST 7036 taught by Professor Brianmarx during the Spring '10 term at LSU.

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HW-05New - HOMEWORK FOR EXST 7036 (Chapter 5) Student Name:...

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