1. Suppose a researcher has characterized the progression of arthritis using the following discrete time Markov chain with cycle length of one year. She wishes to track the progression of disease using this model in a population of 100 individuals where 20 people have stage 1 disease, 10 people have stage 2 disease, and 5 people stage 3 disease at the end of year 2020. Assume no one in this cohort dies over the total analysis period. 0.8 Healthy Stage 1 (mild) 0.2 Stage 2 (moderate) 0.3 Stage 3 (severe) 0.6
1. Suppose a researcher has characterized the progression of arthritis using the following discrete time Markov chain with cycle length of one year. She wishes to track the progression of disease using this model in a population of 100 individuals where 20 people have stage 1 disease, 10 people have stage 2 disease, and 5 people stage 3 disease at the end of year 2020. Assume no one in this cohort dies over the total analysis period. 0.8 Healthy Stage 1 (mild) 0.2 Stage 2 (moderate) 0.3 Stage 3 (severe) 0.6
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Transcribed Image Text:1. Suppose a researcher has characterized the progression of arthritis using the following
discrete time Markov chain with cycle length of one year. She wishes to track the progression
of disease using this model in a population of 100 individuals where 20 people have stage 1
disease, 10 people have stage 2 disease, and 5 people stage 3 disease at the end of year 2020.
Assume no one in this cohort dies over the total analysis period.
0.2
Stage 1
(mild)
Stage 2
(moderate)
Stage 3
(severe)
0.8
Healthy
0.3
0.6
0.1
Transcribed Image Text:d. Assuming everyone could live forever, how long would it take until 95% of the cohort was in
stage 3?
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