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Abstract:
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To estimate the expected lifetime of tires on a car, we use the field experiment data which report the degradation depths according to driving distance for each of four experiment cars. For analysis of data, we consider a double hierarchical generalized linear model (DHGLM) in which the mean and dispersion parameters can be modeled as random-effects models. In DHGLMs, we can allow the heterogeneity between different cars in the mean as well as the dispersion parameters. The introduction of random effects to dispersion parameters provides estimates that are less sensitive to the presence of outliers. For statistical inferences, we use the hierarchical likelihood approach. By showing various statistical tools such as model selection criteria and residual plots with real data analysis, the h-likelihood approach is very useful for degradation data.
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