Title page
Contents
1. Executive Summary 6
2. Introduction 10
3. Methodology Approach 12
3.1. Data 12
3.2. Crash Modes 13
3.3. Sample Size 14
3.4. Logistic Regression 15
3.5. Validation Process 17
4. MAIS+ Injury Probability Curves 18
4.1. All Crashes 18
4.2. Frontal Crashes 23
4.3. Rear-End Crashes 28
4.4. Validation 37
4.5. Summary 41
5. Reference 42
Appendix A: Estimated Coefficients 44
A.1. All Crashes 44
A.2. Frontal Crashes 46
A.3. Rear-End Crashes 47
Appendix B: Weighted Sample Size by MAIS and delta V 49
Appendix C: The Weighted Imputed MAIS Injury Percentages by delta V 54
Table 1-1. Mathematical Formula for MAIS+(05/08) Injury Probability Curves by Crash Modes 7
Table 3-1. Crash Definition 13
Table 3-2. Sample Size deduction by crash mode 14
Table 3-3. Distribution of Missing Cases 15
Table 4-1. Mathematical Formula for MAIS+(05/08) Probability Curves, All Crashes 19
Table 4-2. MAIS(05/08) Injury Probability by Delta V, All Crashes 21
Table 4-3. Mathematical Formula for MAIS+(05/08) Injury Probability Curves, Frontal Crashes 24
Table 4-4. MAIS(05/08) Injury Probability Curves, Frontal Crashes 26
Table 4-5. Mathematical Formula for MAIS+(05/08) Probability Curves, Rear-End Crashes 29
Table 4-6. MAIS(05/08) Injury Probability Curves, Rear-End Crashes 31
Table 4-7. MAIS(05/08) Injury Probabilities Without Rebalancing, Rear-End Crashes 33
Figure 1-1. MAIS+(05/08) and MAIS(05/08) Injury Probability Curves by Crash Modes 9
Figure 4-1. MAIS+(05/08) Injury Probability Curves, All Crashes 20
Figure 4-2. MAIS(05/08) Injury Probability Curves, All Crashes 23
Figure 4-3. MAIS+(05/08) Injury Probability Curves, Frontal Crashes 25
Figure 4-4. MAIS(05/08) Injury Probability Curves, Frontal Crashes 28
Figure 4-5. MAIS+(05/08) Injury Probability Curves, Rear-End Crashes 30
Figure 4-6. MAIS(05/08) Injury Probability Curves, Rear-End Crashes 33
Figure 4-7. MAIS(05/08) Injury Probability Curves Without Rebalancing, Rear-End Crashes 36
Figure 4-8. MAIS(05/08) Probabilities Versus Calculated Percentages, All Crashes 38
Figure 4-9. MAIS(05/08) Probabilities Versus Calculated Percentages, Frontal Crashes 39
Figure 4-10. MAIS(05/08) Probabilities Versus Calculated Percentages, Rear-End Crashes 40
Table A-1. MAIS+(05/08) Model Response Profile, All Crashes 44
Table A-2. Model Fit Statistics, All Crashes 45
Table A-3. Estimates Coefficients for MAIS+(05/08) Probability Curves, All Crashes 45
Table A-4. MAIS+(05/08) Model Response Profile, Frontal Crashes 46
Table A-5. Model Fit Statistics, Frontal Crashes 46
Table A-6. Estimates Coefficients for MAIS+(05/08) Probability Curves, Frontal Crashes 47
Table A-7. MAIS+(05/08) Model Response Profile, Rear-End Crashes 47
Table A-8. Model Fit Statistics, Rear-End Crashes 47
Table A-9. Estimates Coefficients for MAIS+(05/08) Probability Curves, Rear-End Crashes 48
Table B-1. Total Weighted Occupant Counts by MAIS and delta V, All Crashes 49
Table B-2. Total Weighted Occupant Counts by MAIS and delta V, Frontal Crashes 51
Table B-3. Total Weighted Occupant Counts by MAIS and delta V, Rear-End Crashes 52
Table C-1. MAIS Percentage by delta V, All Crashes 54
Table C-2. MAIS Percentage by delta V, Frontal Crashes 55
Table C-3. MAIS Percentage by delta V, Rear-End Crashes 57