Given a covariate Z, suppose that the log survival time Y follows a linear model with...

Question

Question

Given a covariate Z, suppose that the log survival time Y follows a linear model with a logistic error distribution, that is, Y = ln(X) = μ + βΖ + σ W where the pdf of W is given by eu f(w) = (1 + ewy,

(a) For an individual with covariate Z, find the conditional survival function of the survival time X, given Z, namely, S(x |Z). (b) The odds that an individual will die prior to time x is expressed by 1- Sa lZ)l/S(a |Z). Compute the odds of death prior to time x for this model. (c) Consider two individuals with different covariate values. Show that, for any time x, the ratio of their odds of death is independent of x. The log logistic regression model is the only model with this property

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

1+e ten e- て

Add a comment

Answer 2

Similar Homework Help Questions

Need help with stats true or false questions Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% con...

Need help with stats true or false questions Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...
explaim the mechanisms amd toxological effects if type 1 diabetes in this article Exposure to arsenic...

explaim the mechanisms amd toxological effects if type 1 diabetes in this article Exposure to arsenic in drinking water is associated with increased prevalence of diabetes. We previously reported an association of diabetes and urinary concentration of dimethylarsinite (DMAS"), a toxic product of arsenic methylation by arsenic (+ 3 oxidation state) methyltransferase (AS3MT). Here we examine associations between AS3MT polymorphism, arsenic metabolism and diabetes. Fasting blood glucose, oral glucose tolerance and self-reported diagnoses were used to identify diabetic individuals. Inorganic...
All of the following questions are in relation to the following journal article which is available...

All of the following questions are in relation to the following journal article which is available on Moodle: Parr CL, Magnus MC, Karlstad O, Holvik K, Lund-Blix NA, Jaugen M, et al. Vitamin A and D intake in pregnancy, infant supplementation and asthma development: the Norwegian Mother and Child Cohort. Am J Clin Nutr 2018:107:789-798 QUESTIONS: 1. State one hypothesis the author's proposed in the manuscript. 2. There is previous research that shows that adequate Vitamin A intake is required...

Given a covariate Z, suppose that the log survival time Y follows a linear model with...

Homework Answers

Add Answer to:
Given a covariate Z, suppose that the log survival time Y follows a linear model with...

Post as a guest

Earn Coins

Need help with stats true or false questions Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% con...

explaim the mechanisms amd toxological effects if type 1 diabetes in this article Exposure to arsenic...

All of the following questions are in relation to the following journal article which is available...

Given a covariate Z, suppose that the log survival time Y follows a linear model with...

Homework Answers

Add Answer to: Given a covariate Z, suppose that the log survival time Y follows a linear model with...

Post as a guest

Earn Coins

Need help with stats true or false questions Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% con...

explaim the mechanisms amd toxological effects if type 1 diabetes in this article Exposure to arsenic...

All of the following questions are in relation to the following journal article which is available...

Add Answer to:
Given a covariate Z, suppose that the log survival time Y follows a linear model with...