The Impact of Misspecified Random Effect Distribution in a Weibull Regression Mixed Model
Abstract
:1. Introduction
2. A Case Study of Lifetime in an Abrasive Process
3. Weibull Regression Mixed Model
4. Simulation Study
5. Results
5.1. Relative Distance between the Estimated Parameter Vector and the True Parameter Vector
5.2. Relative Distance between the Estimated Parameter and the True Parameter
5.3. Median for the Estimated Fixed Parameters
6. Conclusions
Author Contributions
Acknowledgments
Conflicts of Interest
Abbreviations
GLMM | Generalized linear mixed model |
LMM | Linear mixed model |
LRM | Logistic random model |
Third parameterization of Weibull distribution | |
GHQ | Gauss–Hermite quadrature |
Relative distance |
Appendix A
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Model for | Estimate | Std. Error | t-Value | p-Value |
Intercept | 0.96 | 0.0065 | 149.1 | < |
1.80 | 0.0094 | 191.3 | < | |
0.99 | 0.0077 | 127.8 | < | |
Model for | Estimate | Std. Error | t-Value | p-Value |
Intercept | −0.64 | 0.1620 | −3.97 | 0.000125 |
2.69 | 0.2454 | 10.97 | < | |
3.62 | 0.2078 | 17.45 | < | |
486.46 | 560.93 |
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Hernández, F.; Giampaoli, V. The Impact of Misspecified Random Effect Distribution in a Weibull Regression Mixed Model. Stats 2018, 1, 48-76. https://doi.org/10.3390/stats1010005
Hernández F, Giampaoli V. The Impact of Misspecified Random Effect Distribution in a Weibull Regression Mixed Model. Stats. 2018; 1(1):48-76. https://doi.org/10.3390/stats1010005
Chicago/Turabian StyleHernández, Freddy, and Viviana Giampaoli. 2018. "The Impact of Misspecified Random Effect Distribution in a Weibull Regression Mixed Model" Stats 1, no. 1: 48-76. https://doi.org/10.3390/stats1010005