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Can somebody help me to solve part b? Refer to the pneumo data in Q1. Treating the pneumonoconiosis status as an ordinal categorical response variable,
Can somebody help me to solve part b?
Refer to the pneumo data in Q1. Treating the pneumonoconiosis status as an ordinal categorical response variable, a cumulative model is fitted producing the following R output (Note Coefficients Value needs to change sign for being used in the model): [10] > pneumo$status as ordered (as.character (pneumo$status)) > ordinal.mod=polr(status"year, data-pneumo, weights-Freq, Hess=T, method="logistic") > summary(ordinal.mod) Coefficients: Value Std. Error t value year 0.0959 0.01194 8.034 Intercepts: Value Std. Error t value 1normal|2mild 3.9558 0.4097 9.6558 2mild 3severe 4.8690 0.4411 11.0383 (a) Write down the model fitted in the above Routput. You need to define the response vari- able and covariate for the model. Also, you need to specify the probability distribution of the response variable and estimates of all parameters in the model. (6) Provide an interpretation for the coefficient estimate 0.0959. Then calculate an approx- imate 95% confidence interval for the odds ratio of non-normal status versus normal status for every 10 more years spent working at the coal face. (c) Estimate the pneumonoconiosis status probabilities for a miner who has spent 25 years working at the coal face. Refer to the pneumo data in Q1. Treating the pneumonoconiosis status as an ordinal categorical response variable, a cumulative model is fitted producing the following R output (Note Coefficients Value needs to change sign for being used in the model): [10] > pneumo$status as ordered (as.character (pneumo$status)) > ordinal.mod=polr(status"year, data-pneumo, weights-Freq, Hess=T, method="logistic") > summary(ordinal.mod) Coefficients: Value Std. Error t value year 0.0959 0.01194 8.034 Intercepts: Value Std. Error t value 1normal|2mild 3.9558 0.4097 9.6558 2mild 3severe 4.8690 0.4411 11.0383 (a) Write down the model fitted in the above Routput. You need to define the response vari- able and covariate for the model. Also, you need to specify the probability distribution of the response variable and estimates of all parameters in the model. (6) Provide an interpretation for the coefficient estimate 0.0959. Then calculate an approx- imate 95% confidence interval for the odds ratio of non-normal status versus normal status for every 10 more years spent working at the coal face. (c) Estimate the pneumonoconiosis status probabilities for a miner who has spent 25 years working at the coal faceStep by Step Solution
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