The article “Utilization of Two Web-Based Continuing Education Courses Evaluated by Markov Chain…
The article “Utilization of Two Web-Based Continuing Education Courses Evaluated by Markov Chain Model” (J. Am. Med. Inform. Assoc. 2012: 489-494) compared students’ flow between pages of an online course for two different Web layouts in two different health professions classes. In the first week of the classes, students could visit (1) the homepage, (2) the syllabus, (3) the introduction, and (4) chapter 1 of the course content. Each student was tracked until s/he either reached chapter 1 or exited without reading chapter 1 (call the latter state 5). For one version of the Web content in one class, the following transition matrix was estimated: When students log into the course, they are always forced to begin on the homepage. (a) Identify the absorbing state(s) of this chain. (b) Let T1 = the number of transitions students take, starting from the homepage, until the either arrive at chapter 1 or exit early. Determine P(T1 ≤ k) for k = 1, 2, …, 10. (c) Use (b) to approximate the pmf of T1, and then approximate the mean time to absorption starting from the class homepage. (d) Determine the (true) mean time to absorption starting from the homepage. (e) What proportion of students eventually got to chapter 1 in the first week? What proportion exited the course without visiting chapter 1? Apr 08 2022 03:26 PM
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