CT 3 stat 156

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Feb 20, 2024

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1 Probabilities of Graduation and Publication Gage Korell Colorado State University-Global Stat-156 Mary Dereshiwsky 1/11/2024

2 Probabilities of Graduation and Publication In this study, three universities are keeping a close eye on a group of professors to see how many students attend their classes, how many of these students graduate, and if any publish their work. The goal is to understand the impact these professors have on their students' academic journeys, exploring aspects like enrollment, graduation rates, and the publication of students' work. This research aims to uncover the diverse ways these professors contribute to their student's academic success and shed light on the broader effects of effective teaching in higher education. This study is designed with the overarching goal of uncovering the probabilities associated with student graduation and publication across various professors' courses. Although establishing a direct causal relationship between a professor and student outcomes may prove challenging, our approach involves a comprehensive ranking of professors. This ranking is derived from the diverse probabilities identified within the datasets, as elaborated upon in the subsequent sections. By meticulously analyzing these probabilities, we aim to shed light on the subtle dynamics between professors and student achievements, exploring potential patterns and trends that contribute to our understanding of the educational landscape. Through this research, we seek to provide valuable insights into the multifaceted aspects of student success and scholarly contributions within the academic realm. The Overall Probability of Students Graduating at Each University The study examines the graduation probabilities of students across three distinct universities: WWCC, EWCC, and NWCC. The calculated probabilities for student graduation are as follows: WWCC: 0.86452

3 EWCC: 0.85264 NWCC: 0.88102 Through this it becomes evident that NWCC boasts the highest likelihood of student graduation, standing at 0.88102. In contrast, EWCC exhibits the lowest probability among the three universities in terms of student graduation, with a probability of 0.85264. This disparity in graduation probabilities provides valuable insights into the academic dynamics at each university, suggesting variations in the factors influencing student success and completion. The subsequent sections of this study delve into a detailed analysis of these probabilities, aiming to unravel the underlying factors contributing to the observed trends in graduation outcomes across WWCC, EWCC, and NWCC. The Overall Probability of Students Having a Publication at Each University This segment of the study investigates the probabilities of students achieving publications across three distinct universities: WWCC, EWCC, and NWCC. The calculated probabilities for students having publications are outlined as follows: WWCC: 0.32193 EWCC: 0.31640 NWCC: 0.31090 A closer look of these probabilities reveals that WWCC exhibits the highest likelihood of students achieving publications, with a probability of 0.32193. Following closely is EWCC, with a substantial probability of 0.31640. In contrast, NWCC presents the lowest probability among the three universities in terms of students having publications, standing at 0.31090. This variation in publication probabilities prompts further exploration into the academic and research environments at each university, aiming to unveil the distinctive factors influencing students' scholarly contributions. Subsequent sections of this study will show an in-depth analysis of these probabilities, shedding light on the underlying dynamics contributing to the observed trends in student publications across WWCC, EWCC, and NWCC.

4 The Overall Probability of Students that will have a Publication and Graduate This section of the study delves into the nuanced relationship between students' graduation and the subsequent probability of them having a publication at three distinct universities: WWCC, EWCC, and NWCC. The calculated probabilities for students having publications given that they graduated are as follows: WWCC: 0.32193 EWCC: 0.31640 NWCC: 0.31090 A detailed examination of these probabilities unveils intriguing patterns. WWCC stands out with the highest probability of students having a publication after graduation, registering at 0.32193. Following closely is EWCC, where the probability of students having a publication post-graduation is notably high at 0.31640. In contrast, NWCC presents the lowest probability among the three universities concerning students having publications given that they graduated, with a probability of 0.31090. This intricate interplay between graduation and subsequent scholarly contributions prompts a deeper exploration into the academic landscapes of WWCC, EWCC, and NWCC. Subsequent sections of this study will dissect these probabilities, shedding light on the underlying dynamics influencing students' scholarly achievements post-graduation at each university. Probability of a Student Graduating from Each Professor This segment of the study undertakes a detailed examination of the probability of students graduating under the guidance of various professors across three distinct universities: WWCC, EWCC, and NWCC. The probabilities for student graduation associated with specific professors are outlined in the table below:

5 These figures illuminate the diverse landscape of graduation probabilities associated with different professors. Notably, C.F. Viney, D.S. Smith, and D.R. Jones emerge as the top- performing professors from WWCC, EWCC, and NWCC, respectively, boasting the highest probabilities of student graduation. Specifically, C.F. Viney leads with an impressive probability of 0.99038, followed closely by D.S. Smith at 0.98913, and D.R. Jones with a commendable probability of 0.96986. Conversely, a contrasting analysis reveals professors with the lowest probabilities of guiding students to graduation at each university: WWCC: Professor W.H. Greiner with a probability of 0.75015 EWCC: Professor I.A. Frank with a probability of 0.78000 NWCC: Professor P.R. Neighbors with a probability of 0.75012 These findings not only provide insights into the differential impacts of professors on student graduation rates but also pave the way for further exploration into the factors influencing these probabilities. Subsequent sections will delve into the implications of professor-student

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