Performance Criteria for Retroreflective Pavement Markers (2022)

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178 A P P E N D I X C SHRP 2 NDS Exhibits Speed Prediction Model Methodology for Tangents Table C-1. Information Criteria for Average Speed on Tangents. AIC BIC LogLik Deviance Df residual 35326.3 35500.6 -17637.1 35274.3 6011 Table C-2. Analysis of Variance Results for Average Speed on Tangents. Variable Chisq Df Pr(>Chisq) Significance Guardrail 26.2478 1 3.00E-07 * RS 5.6359 1 0.01760 * RPM 14.8051 1 1.19E-04 * Surface 29.0417 2 4.94E-07 * TOD 26.9368 1 2.10E-07 * Age 34.2984 2 3.57E-08 * LogLength 9.54508 1 0.00201 * RPM x Surface 9.35754 2 0.00929 * Surface x TOD 8.97719 2 0.01124 * RPM x AGE 3.19566 2 0.20234 RPM:TOD 1.45794 1 0.22726 TOD:Age 12.48271 2 0.00195 * RPM:TOD:Age 14.18669 2 8.31E-04 * * Statistically significant at 5% or less. Speed Prediction Model for Curves Table C-3. Information Criteria for Average Speed on Curves. AIC BIC LogLik Deviance Df residual 95840.3 96057.4 -47892.1 95784.3 17171

SHRP 2 NDS Exhibits 179   Table C-4. Analysis of Variance Results for Average Speed on Curves. Variable Chisq Df Pr(>Chisq) Significance* log10(Radius) 70.7819 1 < 2.2e-16 * log10(CurveLen) 17.9425 1 2.277e-05 * Chevron 7.8505 1 0.005081 * RS 10.5985 1 0.001132 * ShldrWidth 6.6374 1 0.009986 * Through 6.3131 1 0.011985 * AgeGroup 24.8051 2 4.108e-06 * TOD 6.6320 1 0.010016 * RPM 6.4043 1 0.011385 * SurfaceWet 5.6945 1 0.017018 * AgeGroup x TOD 8.1898 2 0.016657 * RPM x SurfaceWet 0.0477 1 0.827124 RPM x AgeGroup 3.5581 2 0.168795 AgeGroup x SurfaceWet 2.8444 2 0.241181 RPM x AgeGroup x SurfaceWet 5.1835 2 0.074887 * Statistically significant at 5% or less. Mean Absolute Deviation of Speed Model for Tangents Table C-5. Information Criteria for Mean Absolute Deviation of Speed on Tangent. AIC BIC LogLik Deviance Df residual 10500.72 10554.36 -5242.36 10484.72 6029 Table C-6. Analysis of Variance Results for Mean Absolute Deviation of Speed on Tangents. Variable Chisq Df Pr(>Chisq) Significance LogLength 100.408600 1 1.24E-23 * RPM 6.919353 1 0.008527 * * Statistically significant at 5% or less. Mean Absolute Deviation of Speed Model for Curves Table C-7. Information Criteria for Mean Absolute Deviation of Speed on Curves. AIC BIC LogLik Deviance Df residual 6850.9 7029.2 -3402.5 6804.9 17126

180 Performance Criteria for Retroreflective Pavement Markers Table C-8. Analysis of Variance Results for Mean Absolute Deviation of Speed on Curves. Variable Chisq Df Pr(>Chisq) Significance* log10(CurveLen) 142.1716 1 <2.2e-16 * Chevrons 7.7625 1 0.005334 * Surface 9.2642 2 0.009734 * Through 9.8793 1 0.001672 * Guardrail 8.9112 1 0.002834 * RPM 1.5609 1 0.211527 Direction 0.5524 1 0.457335 ShldrWidth 1.5324 1 0.215760 LaneWidth 3.9515 1 0.046829 * RPM x Guardrail 3.5487 1 0.059592 Guardrail x Direction 6.3078 1 0.012021 * RPM x Direction 27.0140 1 2.02e-07 * ShldrWidth x LaneWidth 7.6003 1 0.005836 * RPM x Guardrail x Direction 5.7953 1 0.016069 * * Statistically significant at 5% or less. Figure C-1. Interaction Effect of Average Lane Width and Shoulder Width on Mean Absolute Deviation of Speed.

SHRP 2 NDS Exhibits 181   Lateral Position Model for Tangents Table C-9. Information Criteria for Average Lateral Position on Tangents. AIC BIC LogLik Deviance Df residual 71082.05 71270.29 -35514 71028.05 7851 Table C-10. Analysis of Variance Results for Average Lateral Position on Tangents. Variable Chisq Df Pr(>Chisq) Significance* LogLength 12.0369 1 5.22E-04 * PMD 4.34735 1 0.03707 * RPM 1.32118 1 0.25038 TODF 174.33400 1 8.37E-40 * Surface 9.08959 2 0.01062 * Age 6.78518 2 0.03362 * Paved shoulder 7.33971 1 0.00675 * RS 8.80719 1 0.00300 * RPM x TOD 9.21876 1 0.00240 * RPM x Surface 6.99260 2 0.03031 * Surface x Age 12.31010 4 0.01519 * Paved shoulder x RS 0.64733 1 0.42107 Paved shoulder x RPM 0.24877 1 0.61794 RPM x RS 0.96718 1 0.32539 Paved shoulder x RPM x Paved shoulder 8.36496 1 0.00383 * * Statistically significant at 5% or less. Lateral Position Model for Curves Table C-11. Information Criteria for Mean Absolute Deviation of Lateral Position on Curves. AIC BIC LogLik Deviance Df residual -9704.7 -9502.4 4878.3 -9756.7 17644

182 Performance Criteria for Retroreflective Pavement Markers Table C-12. Analysis of Variance Results for Average Lateral Position on Curves. Variable Chisq Df Pr(>Chisq) Significance* log10(Radius) 175.4749 1 <2.2e-16 * Surface 10.7332 2 0.0046701 * TOD 20.4136 1 6.239e-06 * LaneWidth 5.6703 1 0.0172550 * RPM 1.0467 1 0.3062670 AGE 1.6255 2 0.4443130 ShldrWidth 13.7085 1 0.0002135 * Direction 65.5532 1 5.657e-16 * RPM x AGE 9.2416 2 0.0098448 * ShldrWidth x Direction 126.3597 1 <2.2e-16 * * Statistically significant at 5% or less. Mean Absolute Deviation of Lateral Position Model for Tangents Table C-13. Information Criteria for Mean Absolute Deviation of Lateral Position on Tangents. AIC BIC LogLik Deviance Df residual 50058.87 50330.77 -24990.4 49980.87 7839 Analysis of Variance Results for Mean Absolute Deviation of Lateral Position on Tangents Table C-14. Analysis of Variance Results for Average Lateral Position on Tangents. Variable Chisq Df Pr(>Chisq) Significance Paved shoulder 4.4622 1 0.0347 * RS 0.0380 1 0.8454 Paved shoulder x RS 11.0000 1 9.11E-04 * * Statistically significant at 5% or less. Mean Absolute Deviation of Lateral Position Model for Curves Table C-15. Information Criteria for Mean Absolute Deviation of Lateral Position on Curves. AIC BIC LogLik Deviance Df residual -9704.7 -9502.4 4878.3 -9756.7 17644

SHRP 2 NDS Exhibits 183   Analysis of Variance Results for Mean Absolute Deviation of Lateral Position on Curves Table C-16. Analysis of Variance Results for Mean Absolute Deviation of Lateral Position on Curves. Variable Chisq Df Pr(>Chisq) Significance * log10(Radius) 138.61682530 1 5.34E-32 * log10(CurveLen) 64.75814292 1 8.47E-16 * Direction 20.51048798 1 5.93E-06 * Guardrail 0.850113658 1 0.356520186 ShldrWidth 14.48219358 1 0.000141491 * LaneWidth 13.41967279 1 0.000248999 * TOD 10.697887270 1 0.001072580 * AGE 1.688046248 2 0.429977188 RPM 3.368883161 1 0.066438781 * log10(Radius) x log10(CurveLen) 8.607480551 1 0.003347851 * Direction x Guardrail 5.513046291 1 0.018875144 * TOD x AGE 2.948806811 2 0.228915256 TOD x RPM 1.079332732 1 0.298846876 AGE x RPM 0.789365834 2 0.673893686 TOD x AGE x RPM 7.371236763 2 0.025081660 * * Statistically significant at 5% or less. Figure C-2. Interaction Effect of Radius and Curve Length on Mean Absolute Deviation of Lateral Position.

184 Performance Criteria for Retroreective Pavement Markers Figure C-3. Interaction Effect of Average Lane Width and Shoulder Width on Mean Absolute Deviation of Lateral Position.