Genetic Creutzfeldt-Jakob Disease (gCJD) is a very rare disease, and the number of deaths caused by gCJD each year in the United Kingdom can be modeled using a Poisson distribution with unknown parameter 8. Numbers of gCJD deaths for the period 2005-9 are given in Table 12. A Gamma(11, 2) was selected as a prior for 8. Year Number of deaths Table 12 2005 2006 9 13 2007 2008 9 5 2009 8 (a) State the posterior for parameter 8, given the data and prior above. (b) Calculate the posterior mode for 8, giving your answer to 2 decimal places. (c) Figure 11 shows the prior, likelihood and posterior for 8. Figure 11 Prior Likelihood -Posterior 15 Comment on the relative contributions of the prior and data to the posterior, justifying your opinion. How have the data affected opinion about 8?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
Genetic Creutzfeldt-Jakob Disease (gCJD) is a very rare disease, and the number of deaths
caused by gCJD each year in the United Kingdom can be modeled using a Poisson
distribution with unknown parameter 0. Numbers of gCJD deaths for the period 2005-9
are given in Table 12. A Gamma(11, 2) was selected as a prior for 0.
Year
Number of deaths
Table 12
2005 2006
13 9
2007 2008 2009
9 5 8
(a) State the posterior for parameter 0, given the data and prior above.
(b)
Calculate the posterior mode for 8, giving your answer to 2 decimal places.
(c) Figure 11 shows the prior, likelihood and posterior for 8.
Figure 11
10
Prior
Likelihood
Posterior
15
Comment on the relative contributions of the prior and data to the posterior,
justifying your opinion. How have the data affected opinion about ?
Transcribed Image Text:Genetic Creutzfeldt-Jakob Disease (gCJD) is a very rare disease, and the number of deaths caused by gCJD each year in the United Kingdom can be modeled using a Poisson distribution with unknown parameter 0. Numbers of gCJD deaths for the period 2005-9 are given in Table 12. A Gamma(11, 2) was selected as a prior for 0. Year Number of deaths Table 12 2005 2006 13 9 2007 2008 2009 9 5 8 (a) State the posterior for parameter 0, given the data and prior above. (b) Calculate the posterior mode for 8, giving your answer to 2 decimal places. (c) Figure 11 shows the prior, likelihood and posterior for 8. Figure 11 10 Prior Likelihood Posterior 15 Comment on the relative contributions of the prior and data to the posterior, justifying your opinion. How have the data affected opinion about ?
Expert Solution
steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman