Abstract:
:Residuals in normal regression are used to assess a model's goodness-of-fit (GOF) and discover directions for improving the model. However, there is a lack of residuals with a characterized reference distribution for censored regression. In this article, we propose to diagnose censored regression with normalized randomized survival probabilities (RSP). The key idea of RSP is to replace the survival probability (SP) of a censored failure time with a uniform random number between 0 and the SP of the censored time. We prove that RSPs always have the uniform distribution on (0, 1) under the true model with the true generating parameters. Therefore, we can transform RSPs into normally distributed residuals with the normal quantile function. We call such residuals by normalized RSP (NRSP residuals). We conduct simulation studies to investigate the sizes and powers of statistical tests based on NRSP residuals in detecting the incorrect choice of distribution family and nonlinear effect in covariates. Our simulation studies show that, although the GOF tests with NRSP residuals are not as powerful as a traditional GOF test method, a nonlinear test based on NRSP residuals has significantly higher power in detecting nonlinearity. We also compared these model diagnostics methods with a breast-cancer recurrent-free time dataset. The results show that the NRSP residual diagnostics successfully captures a subtle nonlinear relationship in the dataset, which is not detected by the graphical diagnostics with CS residuals and existing GOF tests.
journal_name
Stat Medjournal_title
Statistics in medicineauthors
Li L,Wu T,Feng Cdoi
10.1002/sim.8852subject
Has Abstractpub_date
2020-12-13 00:00:00eissn
0277-6715issn
1097-0258pub_type
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pub_type: 杂志文章
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pub_type: 杂志文章
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pub_type: 杂志文章
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pub_type: 杂志文章
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pub_type: 杂志文章
doi:10.1002/sim.1029
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pub_type: 杂志文章
doi:10.1002/sim.3649
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journal_title:Statistics in medicine
pub_type: 评论,信件
doi:10.1002/sim.2115
更新日期:2005-09-15 00:00:00
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journal_title:Statistics in medicine
pub_type: 杂志文章
doi:10.1002/sim.5621
更新日期:2013-06-15 00:00:00
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pub_type: 杂志文章
doi:10.1002/sim.3793
更新日期:2010-03-30 00:00:00
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pub_type: 杂志文章,评审
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pub_type: 杂志文章,meta分析
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pub_type: 杂志文章
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journal_title:Statistics in medicine
pub_type: 临床试验,杂志文章,多中心研究,随机对照试验
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pub_type: 杂志文章
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