1. (Adapted from Dobson and Barnett, 2008) The following table tabulates the number of deaths from...
Fantastic news! We've Found the answer you've been seeking!
Question:
![image text in transcribed](https://s3.amazonaws.com/si.experts.images/answers/2024/05/664442ea5b227_610664442ea37d13.jpg)
Transcribed Image Text:
1. (Adapted from Dobson and Barnett, 2008) The following table tabulates the number of deaths from Leukemia and other cancers among survivors of Hiroshima during the period 1950-1959. The subjects were aged between 25 and 60 in the year 1950, and are classified by the dose of radiation they received in radons. The research question is: How does the proportion of total cancer deaths that are due to Leukemia (rather than other cancers) vary with radiation exposure? radiation midpoint | leukemia other cancer total cancers 0 0 13 378 391 1 to 9 5 5 200 205 10 to 49 29.5 5 151 156 50 to 99 74.5 3 47 50 100 to 199 149.5 4 31 200+ 249.5 18 33 35 51 In this table we converted the radiation level to a continuous predictor, coding the value as the midpoint of the range (e.g., for a radiation of 1 to 9 we use the value (1+9)/2 = 5). For the largest radiation value we choose a value of 249.5 (assuming the radiation goes from 200 to 299). (a) Produce a graphical summary of the table above that helps address the research question. In words, summarize the table and your graphical display. What does the data suggest about the relationship between radiation and the proportion of cancer deaths that are due to leukemia? (b) In R fit a logistic regression model, relating the probability of dying of leukemia (given that the individual has died of cancer) to the midpoint of the radiation dose. Summarize your fitted model. Make sure that you interpret the slope parameter in terms of changes of the odds (with an appropriate confidence interval). Hint: You will probably need to use the information in the table to construct a data set where each cancer death is a single line, with outcome variable either 1 for a Leukemia death or 0 for a death due to a different cancer. Functions c, rep, rbind, cbind may be helpful. 2. (Data taken from Agresti, 1996). In a survey of 34 patients having surgery with a general anesthetic, patients were asked whether or not they experienced a sore throat (throat=0 for no, throat=1 for yes). The duration of the surgery in minutes was also recorded. (a) Write down the a simple logistic regression model that predicts the probability of a patient that has surgery having a sore throat based on the duration of the surgery. Make sure you define all the variables used in your model. (b) Fit the model you defined in part (a) using R. Summarize your fitted model. the model output you obtain. Make sure that you interpret the slope parameter in terms of changes of the odds (with an appropriate confidence interval). 1. (Adapted from Dobson and Barnett, 2008) The following table tabulates the number of deaths from Leukemia and other cancers among survivors of Hiroshima during the period 1950-1959. The subjects were aged between 25 and 60 in the year 1950, and are classified by the dose of radiation they received in radons. The research question is: How does the proportion of total cancer deaths that are due to Leukemia (rather than other cancers) vary with radiation exposure? radiation midpoint | leukemia other cancer total cancers 0 0 13 378 391 1 to 9 5 5 200 205 10 to 49 29.5 5 151 156 50 to 99 74.5 3 47 50 100 to 199 149.5 4 31 200+ 249.5 18 33 35 51 In this table we converted the radiation level to a continuous predictor, coding the value as the midpoint of the range (e.g., for a radiation of 1 to 9 we use the value (1+9)/2 = 5). For the largest radiation value we choose a value of 249.5 (assuming the radiation goes from 200 to 299). (a) Produce a graphical summary of the table above that helps address the research question. In words, summarize the table and your graphical display. What does the data suggest about the relationship between radiation and the proportion of cancer deaths that are due to leukemia? (b) In R fit a logistic regression model, relating the probability of dying of leukemia (given that the individual has died of cancer) to the midpoint of the radiation dose. Summarize your fitted model. Make sure that you interpret the slope parameter in terms of changes of the odds (with an appropriate confidence interval). Hint: You will probably need to use the information in the table to construct a data set where each cancer death is a single line, with outcome variable either 1 for a Leukemia death or 0 for a death due to a different cancer. Functions c, rep, rbind, cbind may be helpful. 2. (Data taken from Agresti, 1996). In a survey of 34 patients having surgery with a general anesthetic, patients were asked whether or not they experienced a sore throat (throat=0 for no, throat=1 for yes). The duration of the surgery in minutes was also recorded. (a) Write down the a simple logistic regression model that predicts the probability of a patient that has surgery having a sore throat based on the duration of the surgery. Make sure you define all the variables used in your model. (b) Fit the model you defined in part (a) using R. Summarize your fitted model. the model output you obtain. Make sure that you interpret the slope parameter in terms of changes of the odds (with an appropriate confidence interval).
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
Income Statement Month 1 % Sales Average Check DIRECTIONS - Use Formula's to fill in calculations for the grey cells Cost of Goods Sold Table Turns $ 14.00 $ 16.00 $ 18.00 $ 20.00 $ 22.00 $ 24.00...
-
Consider the following information: Rate of Return if State Occurs State of Economy Boom :57 Bust of Economy .66 .34 Probability of State Stock A .09 .13 Stock B Stock C .03 .19 .24 -.04 a. What is...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
(a) A circular diaphragm 60 cm in diameter oscillates at a frequency of 25 kHz as an underwater source of sound used for submarine detection. Far from the source, the sound intensity is distributed...
-
The following table gives the frequency distribution of the number of hours spent last week on cell phones (making phone calls and texting) by all 100 students of the tenth grade at a school. Hours...
-
Describe bank cash reserves.
-
In what way is land different from other plant assets?
-
On April 1, 2014, Angel Corporation issued $8,000,000 in 8.5 percent, five-year bonds at 98. The semiannual interest payment dates are April 1 and October 1. Prepare journal entries to record the...
-
Frequency Distributions Question 11, 2.1.34 Part 1 of 3 > K Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns....
-
Parker, an active duty servicemember, receives student loan repayment benefits of $4,000 annually. In July 2023, Parker was deployed to Afghanistan. How much of Parker's student loan repayment...
-
Q7) Estimated investment function for Turkey between 1951-1976: where I: investment, Y: GNP, M: Imports. Following information is given = 1633.55 + 154.32Y+0.12Mt + 584.54D-41.42DtYt + 0.34DtMt i)...
-
Q4) We are trying to analyse the money spent for entertainment (ENT) in Turkey. Suppose we define: gender (G) as male or female; nationality (N) as Turkish or foreign; and marital status (M) as...
-
Consider the linear model: Y;= a + a (X - X) + U. Find the OLS estimators of ag and a. Compare with the OLS estimators of 30 and 31 in the standard model discussed in class (Y = 30 +3X; + ui).
-
1. A monopolist produces two commodities that are substitutes and having demand functions: X-8-P+P and X=9+P-5P, where 1,000 X, units of first commodity are demanded if its price is Rs P, per unit...
-
Parci and Max both utility functions for goods A and B as U = 20A0.25B0.5 with marginal utilities MUA = 5A-0.75 80.5 and MUB = 10A0.25B-0.5. Prices are PA = $2 and Pg = $1. Parci has income of $360...
-
Let the proportion of Lebanese people who like pickles in their burgers be Beta with parameters r' = 1 and n' = 2. If y is the true proportion of such people and x is your estimate, assume that your...
-
Reread the discussion leading to the result given in (7). Does the matrix sI - A always have an inverse? Discuss.
-
Appalachia inc. has compiled the following data to analyze maintenance costs: Use the least squares method to develop a formula for budgeting maintenance cost. Month January February. Labor Hours...
-
A local band will perform at your fraternity's charity event for free at your school's basketball arena (25,000-person capacity) on January 28. The school is charging your fraternity \(\$ 37,500\)...
-
Lawrence & Sluyter CPAs often use factors that change in a consistent pattern with costs to explain or predict cost behavior. a. As a team of three or four, select factors to predict or explain the...
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App