HYPOTHESIS-TESTING IN THE POLYCHOTOMOUS LOGISTIC MODEL WITH AN APPLICATION TO DETECTING GASTROINTESTINAL CANCER
HYPOTHESIS-TESTING IN THE POLYCHOTOMOUS LOGISTIC MODEL WITH AN APPLICATION TO DETECTING GASTROINTESTINAL CANCER
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DOI：
10.1002/sim.4780040313
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发表时间：
1985-01-01
影响因子：
2
通讯作者：
CHISHOLM, EM
中科院分区：
文献类型：
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作者：
MARSHALL, RJ;CHISHOLM, EM
我们讨论了使用三分Logistic模型来区分胃肠道(GI)癌患者、良性GI疾病患者和‘正常’受试者，使用症状和一些可能预示恶性疾病的血清蛋白浓度作为协变量。当协变量被认为在类别之间没有预测价值时，可以通过引用不可区分假设来获得简约模型。结果表明，多角形模型可以在零假设下进行重新参数化，得到可用最大似然拟合出的“约化形式”。讨论了采用同样的方法进行回溯抽样的有效性。该方法是通过开发Logistic模型来识别具有胃肠道癌症高风险的有症状和无症状的受试者来说明的。
We discuss the use of the trichotomous logistic model to discriminate between patients with gastrointestinal(GI) cancer, patients with benign GI disease and ‘normal’ subjects, using symptoms and the concentrations of some serum proteins that are potentially indicative of malignancy as covariates. A parsimonious model can be obtained by invoking an indistinguishability hypothesis which is appropriate when a covariate is considered to have no predictive value between categories. It is shown that the polychotomous model can be re‐parameterised under the null hypothesis to give a ‘reduced form’, which can be fitted by maximum likelihood. The validity of the use of the same methods for retrospective sampling is discussed. The approach is illustrated by the development of a logistic model to identify symptomatic and asymptomatic subjects with a high risk of GI cancer.