Date: 12/05/13 To: Robert Goldstein, Associate Provost From: Peter L. Walton, Associate Dean Subject: Proposal to add PHEP-621 “Statistical Foundations for Epidemiology” The above-named course is proposed to be added, to be effective Spring 2014. The course is an elective in the epidemiology M.S. and public health science Ph.D. with specialization in epidemiology programs. The proposed syllabus has been approved by the MPH Program, Curriculum Committee, Faculty Forum, and the dean’s office. Attachments: Proposed CIF (signed hard copy to follow) Proposed syllabus Proposed CIF Proposed Syllabus Course Data Number: Title: Credit-hours: Department: School/College: Type: PHEP-621 Statistical Foundations for Epidemiology 4 Epidemiology and Population Health School of Public Health and Information Sciences Lecture Catalog Description This course introduces essential statistical concepts and foundations for epidemiologists. It is designed for epidemiology students to exercise statistical theory as applied to epidemiologic problem-solving. Course Description Statistical techniques are widely used in epidemiologic research. The aim of the course is for students to understand the statistical foundations and theories that underlie these techniques and to enhance critical thinking and integration of this material with broader epidemiologic principles. Practical application of statistical theory to epidemiologic examples, including data management and analysis using SAS statistical software, is an integral part of the course. Central Course Question How do epidemiologists depend on and use statistical concepts in epidemiological study design, data collection, data analysis and interpretation? Fundamental and Powerful Concepts Probability and probability distributions Random error Bias Sampling Parameters Statistics Estimation Course Objectives/Student Learning Outcomes At the completion of the course, the successful student is able to: Describe characteristics of epidemiologic data and different sampling procedures. [C2] Create descriptive statistics to describe epidemiologic data using real or simulated datasets. [C3] Appropriately apply basic probability theory to epidemiologic problems.[C3] Distinguish between random error and bias [C4] and provide examples of each. [C2] Identify and describe discrete and continuous probability distributions [C2] Use the theory underlying discrete and continuous distributions correctly to make statistical inferences about epidemiologic data. [C5] Test epidemiologic hypotheses using appropriate statistical methods.[C3] Distinguish between exact and asymptotic methods [C4] and apply each as appropriate to make statistical inferences. [C3] Calculate the power or sample size required to make a specified statistical inference.[C3] Distinguish between categorical and continuous data and the statistical methods required to test hypotheses using each type of data. [C4] Describe the likelihood function [C2] and use maximum likelihood methods to estimate statistical parameters. [C3] Page 1 of 8 Statistical Foundations for Epidemiology PHEP-621 Conduct simple linear regression and logistic regression models [C3] and interpret parameters from these models. [C5] Explain how confounding and interaction can be incorporated into regression models [C2] and create these models to address epidemiologic questions with real or simulated datasets [C3] Distinguish between additive and multiplicative models.[C4] Use SAS software to perform statistical analyses described above.[C3] Brackets refer to levels of cognition according to Bloom’s taxonomy.1 C1 = Knowledge C2 = Comprehension C3 = Application C4 = Analysis C5 = Synthesis C6 = Evaluation Prerequisites Enrollment in the M.S. program in epidemiology or the public health sciences Ph.D. program with specialization in epidemiology. Students who don’t meet these criteria but believe they are qualified and wish to enroll in the course should contact Student Services at 502-852-3289 for information. Course Instructors Name Kira Taylor, Ph.D., M.S., M.A.Ed. Course Director Office Phone SPHIS 232 502-852-4063 Email kctayl04@louisville.edu The course instructor welcomes conversations with students outside of class. Students may correspond with the instructor by email or phone. Students should also contact the course instructor with questions they might have regarding the mechanics or operation of the course. Course Topics and Schedule IMPORTANT NOTE: The schedule and topics may change as the course unfolds. Changes are posted on Blackboard. The course consists of three meetings each week: two 1.5- hour classes and one 1-hour laboratory. Meeting Class 1 Class 2 Lab 1 1 Topics Assignments Random sampling, expected value, bias, sample statistic, precision, uncertainty, expected Homework 1 distributed values Install SAS on computer Descriptive statistics: mean, median, mode, range, standard deviation, variance, covariance, correlation SAS lab for descriptive statistics: importing and creating data sets using SAS, random number generation, descriptive statistics using real and simulated datasets Bloom’s Taxonomy – Quick Reference Guide <https://sharepoint.louisville.edu/sites/sphis/do/aa/progcompslos/other/Blooms taxonomy et al 2020111028.pdf Page 2 of 8 Statistical Foundations for Epidemiology Meeting Class 3 Class 4 Lab 2 Class 5 Class 6 Lab 3 Class 7 Class 8 Lab 4 Class 9 Class 10 Lab 5 Class 11 Class 12 Lab 6 Class 13 Class 14 Class 15 Lab 7 Class 16 Class 17 Lab 8 Class 18 Class 19 Lab 9 Class 20 Class 21 Lab 10 Class 22 Class 23 Lab 11 Class 24 Class 25 PHEP-621 Topics Introduction to probability: conditional probability, independence, conditional independence Introduction to probability, continued: diagnostic tests, Bayes’ rule Homework 1 due SAS lab for probability and conditional probability Assignments Homework 2 distributed Discrete probability distributions: Bernoulli, binomial, Poisson Discrete probability distributions, continued: maximum likelihood estimation for parameters from discrete probability distributions SAS lab for discrete probability distributions as applied to epidemiologic questions and data; uncertainty, standard errors Review for midterm exam #1 Homework 2 due Midterm exam #1 SAS lab covering exact P-values and confidence limits Discrete probability distributions, continued: hypergeometric distribution, exact P-values and confidence limits for discrete distributions Hypothesis testing using discrete (categorical) data; Fisher’s exact test Homework 3 distributed SAS lab for hypothesis testing using discrete data Exact confidence limits for the rate ratio Introduction to normal distribution Review of exact P-values and confidence limits for rate Power; Type I and Type II errors Homework 4 distributed Homework 3 due Power and sample size calculations using simulations in SAS and online power calculators Review for Midterm Exam #2; extra practice problems Homework 4 due Midterm Exam #2 Central limit theorem, normal approximations to the Poisson and binomial SAS lab for investigating normal approximations to Poisson and binomial, central limit theorem Continuous probability distributions: Chi square, F, t, uniform, exponential Chi-square goodness of fit test Hypothesis testing using continuous distributions Homework 5 due Introduction to hypothesis testing using the Normal, t, and Chi-square distributions Contingency tables Power and sample size calculations using continuous distributions McNemar’s test, contingency tables, comparing binomial proportions, Chi-square goodness of fit test SAS lab for hypothesis testing using continuous distributions; power calculations using continuous distributions Analysis of variance (ANOVA) Analysis of variance, continued, and theoretical connection to linear regression SAS lab for ANOVA and linear regression Midterm Exam #3 Homework 6 due Analysis of matched data, McNemar’s test, comparing binomial proportions SAS lab for nonparametric methods Nonparametric methods Monte Carlo methods and bootstrapping Page 3 of 8 Homework 5 distributed Homework 6 distributed Homework 7 distributed Statistical Foundations for Epidemiology Meeting Lab 12 Class 26 Class 27 Lab 13 Class 28 Finals PHEP-621 Topics SAS lab for Monte Carlo methods and bootstrapping Theoretical framework for logistic regression Bayesian vs. frequentist theories and methods SAS lab for logistic regression Introduction to issues surrounding correlated data analysis Final exam Homework 7 due Assignments Course Materials Blackboard The primary mechanism for communication in this course, other than class meetings, is UofL’s Blackboard system at http://ulink.louisville.edu/ or http://blackboard.louisville.edu/. Instructors use Blackboard to make assignments, provide materials, communicate changes or additions to the course materials or course schedule, and to communicate with students other aspects of the course. It is imperative that students familiarize themselves with Blackboard, check Blackboard frequently for possible announcements, and make sure that their e-mail account in Blackboard is correct, active, and checked frequently. Required Texts Fundamentals of Biostatistics (7th edition), by Bernard Rosner (Brooks/Cole, 2011) The little SAS book: a Primer (4th edition), by Delwiche and Slaughter (SAS Publishing, 2008) The Miniature Guide to Critical Thinking: Concepts and Tools, by Paul and Elder (The Foundation for Critical Thinking, 2009) (provided class 1) Other Required Reading Other required reading assignments are posted on Blackboard. Additional Suggested Reading None. Prepared Materials Used by Instructors Materials used by instructors in class are available to students via Blackboard no later than 24 hours following the class. These may include outlines, citations, slide presentations, and other materials. There is no assurance that the materials include everything discussed in the class. Other Materials SAS software, v 9.3 must be installed on the student’s personal laptop computer before Lab 1. Students are required to bring laptop computers to all lab meetings. Course Policies Attendance and Class Participation Class attendance is expected and is necessary for successful completion of lab assignments, homework assignments and exams. Reading the textbook and notes is not a substitute for attending class. Consequences of Academic Honesty Violation Copying or plagiarism results in a 0 for the assignment and possibly more serious consequences, such as an (earned) failure for the course or expulsion from the program or school. Page 4 of 8 Statistical Foundations for Epidemiology PHEP-621 Student Evaluation The components of student evaluation are (see Grading Rubrics, below, for grading details): 1. “Minute papers.” (10% of final grade) At the end of each class, students are asked 2-3 questions from the material covered during the class period. The lowest two scores out of 28 are dropped. 2. Homework. (40% of final grade) Homework assignments 1-6 consist of calculation problems, short answer, multiple choice, short essays and, and usually require the use of SAS as covered in the lab sessions (5% each for 30% of final grade). Homework assignment 7 is a more comprehensive data analysis project (10% of final grade). Students may discuss homework assignments with each other within reason, but must complete all assignments individually. Students should come to office hours to discuss questions regarding the homework or course material. 3. Midterm exams. (10% each for 30% of final grade) Three midterm exams are closed-book, in-class exams on cumulative course material up to each exam. Extensive formulas are provided. Exams are similar in format to homework assignments, consisting of short answer, multiple choice, short essays and problems. 4. Final exam. (20% of final grade) The final exam is a comprehensive, in-class, closed-book exam on all course material. Extensive formulas are provided. The final exam is similar in format to homework assignments and midterm exams, but is more comprehensive in nature, and requires synthesis of concepts learned throughout the semester. Grading The components of student evaluation are weighted as follows: 1. “Minute papers” Highest 26 of 28 scores counted 2. Homework Assignments 1-6 @ 5% Assignment 7 @ 10% 3. Midterm exams Three @ 10% 4. Final exam 10% 40% 30% 20% Grading is on letter scale basis. (Note: No rounding is done; “+” indicates a fractional part of a percentage point is possible above the listed range for the letter grade.) Final Grade A+ A AB+ B B- Final Percent 98-100 93-97+ 90-92+ 88-89+ 83-87+ 80-82+ Final Grade C+ C CD+ D DF Page 5 of 8 Final Percent 78-79+ 73-77+ 70-72+ 68-69+ 63-67+ 60-62+ <60 Statistical Foundations for Epidemiology PHEP-621 Grading Rubrics Grading is based on selected intellectual standards set forth in the Paul-Elder model for critical thinking.2 The standards and their scoring in student evaluation are presented in the following tables. Evaluation Item Clarity “Minute paper” question Calculation problem Multiple choice question Short answer question Short essay question Standard Clarity Accuracy Relevance Y Y Y Y Y Uses of Intellectual Standards in Scoring Standard Components with Item ComMidAccurRele“Minute HomeFinal pleteLogic term acy vance paper” work exam ness exam Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Scoring Rubric for Intellectual Standards3 Exceeds Partially meets Does not meet Meets standard standard standard standard 4 3 2 1 Too cloudy to Polished Crystal Clear Slightly hazy see through That’s just The real deal! Right on! Are you sure? wrong! Bull’s-eye On-target Edge of target Off-target Completeness Cornucopia Enough Almost enough Not enough Logic Mastermind Makes sense Mostly makes sense Doesn’t make sense Fails to try 0 Nothing to consider Nothing to consider Nothing to consider Nothing to consider Nothing to consider Other Policies Expected Student Effort Out of Class Students are expected to spend an average at least 2-1/2 hours per week per credit hour on the course exclusive of class time. This time includes but is not limited to reading, research, preparations for class, team or group meetings (electronic or otherwise), and course deliverables. Syllabus Revision The course director reserves the right to modify any portion of this syllabus. A best effort is made to provide an opportunity for students to comment on a proposed change before the change takes place. Instructional Modifications for Students with Disabilities: Students with disabilities who need reasonable modifications to complete assignments successfully and otherwise satisfy course criteria are encouraged to contact the instructor as early in the course as possible to identify and plan specific accommodations. Students are asked to provide a letter from the Disability Resource Center and other documentation to assist in planning modifications. 2 Adapted in part from Linda Elder and Richard Paul, Intellectual Standards: The Words That Name Them and the Criteria That Define Them, The Foundation for Critical Thinking, 2008. 3 Adapted from Peter L. Walton, M.D., personal communication, 2012. Page 6 of 8 Statistical Foundations for Epidemiology PHEP-621 Inclement Weather This course adheres to the University’s policy and decisions regarding cancellation or delayed class schedules. Adjustments are made to the class schedule as necessary to take into account any delays or cancellations of this class. Local television and radio stations broadcast University delays or closings. The UofL web site (www.louisville.edu) and telephone information line (502-852-5555) also broadcast delays or closings. Grievances A student who has grievances regarding the course should seek to have the matter resolved through informal discussion and through administrative channels, such as the course director, chair of the course’s department, associate dean for student affairs, and university grievance officer. If the issue remains unresolved, the student may file a formal grievance. More information is located at Summary of SPHIS Student Academic Grievance Procedure in Student Academic Grievance Committee (https://sharepoint.louisville.edu/sites/sphis/cbg/sagc/). Disabilities In accordance with the Americans with Disabilities Act, students with bona fide disabilities are afforded reasonable accommodation. The Disability Resource Center certifies a disability and advises faculty members of reasonable accommodations. More information is located at http://louisville.edu/disability. Academic Honesty Students are required to comply with the academic honesty policies of the university and School of Public Health and Information Sciences. These policies prohibit plagiarism, cheating, and other violations of academic honesty. More information is located at https://sharepoint.louisville.edu/sites/sphis/policies. Course instructors use a range of strategies (including plagiarism-prevention software provided by the university) to compare student works with private and public information resources in order to identify possible plagiarism and academic dishonesty. Comparisons of student works require students to submit electronic copies of their final works to the plagiarism-prevention service. The service delivers the works to instructors along with originality reports detailing the presence or lack of possible problems. The service retains copies of final works and may request students’ permission to share copies with other universities for the sole and limited purpose of plagiarism prevention and detection. In addition instructors provide the opportunity for students to submit preliminary drafts of their works to the service to receive reports of possible problems. Such reports are available only to the submitting student. Copies of preliminary drafts are not retained by the service. Continuity of Instruction Plan A plan for continuity of instruction for this course has been developed and published. All plans are available at https://sharepoint.louisville.edu/sites/sphis/do/aa/coip. Continuity of instruction plans provide guidance for how instruction may be modified to lessen disruption by events that affect transportation, communication, or personal interaction. Such events may be weather-related (e.g., floods, blizzards, tornados), health-related (e.g., epidemics), or other widespread occurrences or threats. Additional Policy Information Additional policy information is available in the following: SPHIS Catalog (https://sharepoint.louisville.edu/sites/sphis/do/aa) SPHIS Policies and Procedures (https://sharepoint.louisville.edu/sites/sphis/policies) UofL Graduate Catalog (http://louisville.edu/graduatecatalog) v2011.11.13 Page 7 of 8 Statistical Foundations for Epidemiology PHEP-621 Current Version and Course History Current Version Version Author(s) Version 2011.11.13 2011.11.13 Kira Taylor, Ph.D., M.S., M.A.Ed. Submitted 12/xx/13 Approved pending Course History Change Summary Initial version Page 8 of 8 Author(s) Kira Taylor, Ph.D., M.S., M.A.Ed.