Option 2: Probabilities of Graduation and Publication
Instructions:
In the following study, three different universities have been tracking a select group of professors over the course of their employment at that university to determine the number of students who are in a particular professor’s classes, how many of those students have graduated, and if any of them have had their work published. In the attached Excel file, Probabilities, are the totals for each of the professors at the three different universities that participated in the study. The purpose of this study is to find the probabilities of graduation and publication for the students in the different professors’ courses. While a causal relationship may not be found between a professor and student graduation or publication, we need to rank the professors based on the different probabilities found with the data sets as described below.
Prepare a report with your ranking of the professors based on the probabilities and conditional probabilities as well as the analysis of each university. Include the following seven (7) items in table format which is provided in the Probabilities file to support your ranking. Note: Be sure to use five (5) decimal places for your probabilities in the table, as some of them will be quite small. Do not convert to percentages as we are interested in probabilities only here.
1. The overall probability of students graduating at each of the three universities.
2. The overall probability of students having a publication at each of the three universities.
3. The overall probability of students having a publication, given that they graduated at each of the three universities.
4. The probability of a student graduating for each professor.
5. The probability of a student having a publication for each professor.
6. The probability of a student having a publication given that they graduated for each professor.
7. Rank the professors within each university for each of the probabilities in 4–6. Then find the sum of the ranks and determine an overall ranking for each professor. Be sure to critically analyze the above calculations in your body paragraphs, explaining how you found each type of probability and then the results you obtained. Be sure to also explain your criteria for ranking in steps 4–7, and defend why you chose that ranking method—as your way might not be the typical method.
Paper Requirements:
Write a report that uses the Written Assignment Requirements under the heading Expectations for CSU-Global Written Assignments found in the CSU-Global Guide to Writing and APA. Items that should be included, but are not limited to, are a title page, an introduction, a body which answers the questions posed in the problem, and a conclusion paragraph that addresses your findings and what you have determined from the data and your analysis. As with all written assignments, you should have in-text citations and a reference page. Please include any tables of calculations, calculated values, and graphs associated with this problem in the body of your assignment response.
University/College | Professor/Instructor | Number Students Taught | Graduated | Publications | P(Graduated) | Rank by P(G) | P(Publications) | Rank by P(P) | P(P|G) | Rank by P(P|G) | Sum of Ranks | Overall Rank
WWCC | J.W. Blake | 2560 | 2304 | 876
WWCC | K.R. Cunningham | 599 | 599 | 300
WWCC | R.H. Doughty | 472 | 425 | 162
WWCC | L.M. Edwards | 1027 | 904 | 434
WWCC | W.H. Greiner | 138 | 121 | 44
WWCC | I.D. Jackson | 817 | 809 | 307
WWCC | O.P. Lawson | 2218 | 2018 | 726
WWCC | G.F. Nelson | 870 | 835 | 367
WWCC | A.F. Paul | 1789 | 1735 | 503
WWCC | D.K. Raulson | 329 | 280 | 81
WWCC | T.R. South | 2087 | 1628 | 716
WWCC | E.A. Thomas | 1991 | 1971 | 986
WWCC | C.F. Viney | 1438 | 1237 | 594
WWCC | F.E. Yousef | 2049 | 1824 | 492
Totals
EWCC | A.D. Blaise | 163 | 155 | 64
EWCC | I.A. Frank | 2854 | 2397 | 1079
EWCC | S.D. Gundel | 533 | 442 | 150
EWCC | P.O. Hogan | 2993 | 2903 | 1364
EWCC | W.M. Kraft | 418 | 326 | 150
EWCC | L.I. Luebbers | 1110 | 977 | 479
EWCC | J.H. Nye | 1411 | 1129 | 531
EWCC | J.A. O'Dell | 609 | 518 | 130
EWCC | R.W. Pauly | 2773 | 2357 | 1179
EWCC | K.G. Ross | 2209 | 2076 | 664
EWCC | D.S. Smith | 1036 | 881 | 247
EWCC | J.P. Trost | 296 | 249 | 87
EWCC | M.M. Wall | 2353 | 2071 | 559
Totals
NWCC | D.H. Allen | 2448 | 1983 | 575
NWCC | T.G. Black | 2878 | 2820 | 1382
NWCC | M.A. Carter | 2649 | 2490 | 1096
NWCC | M.P. Drake | 2031 | 1686 | 708
NWCC | J.K. Elmsworth | 2243 | 1750 | 823
NWCC | P.T. Grey | 231 | 173 | 52
NWCC | C.R. Heines | 1616 | 1374 | 522
NWCC | D.R. Jones | 2703 | 2027 | 791
NWCC | B.M. Keith | 2455 | 2332 | 816
NWCC | G.H. Matheson | 1981 | 1882 | 678
NWCC | P.R. Neighbors | 2032 | 1748 | 752
NWCC | S.T. Orion | 979 | 871 | 314
NWCC | A.P. Tracey | 376 | 365 | 150
Totals