Residuals for log-Burr XII regression models in survival analysis |
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Authors: | Giovana O Silva Gilberto A Paula |
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Institution: | 1. Department of Exact Sciences , Universidade de S?o Paulo (USP) , Av. Pádua Dias 11 - Caixa Postal 9, Piracicaba, SP, 13418-900, Brazil;2. Department of Statistics , Universidade de S?o Paulo (USP) , Rua do Mat?o 1010, S?o Paulo, SP, 05508-090, Brazil |
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Abstract: | In this paper, we compare three residuals to assess departures from the error assumptions as well as to detect outlying observations in log-Burr XII regression models with censored observations. These residuals can also be used for the log-logistic regression model, which is a special case of the log-Burr XII regression model. For different parameter settings, sample sizes and censoring percentages, various simulation studies are performed and the empirical distribution of each residual is displayed and compared with the standard normal distribution. These studies suggest that the residual analysis usually performed in normal linear regression models can be straightforwardly extended to the modified martingale-type residual in log-Burr XII regression models with censored data. |
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Keywords: | censoring data Burr XII distribution residual analysis survival data analysis |
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