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Math 225-01, Spring 2012 Introduction to Biostatistics Professor: E-mail: Class Hours: Room: Textbook: Course Website: Prerequisites: Dr. Eric Ruggieri [email protected] Monday, Wednesday, Friday 11:00-11:50 220 College Hall Biostatistics for the Biological and Health Sciences by Triola and Triola Blackboard None Welcome to Math 225: Introduction to Biostatistics! This is a one semester course which will introduce you to probability and statistical inference. At the end of this course, you will be able to: 1) Gain a solid understanding of the foundations of probability and statistical inference as applied to clinical trials, medicine, and other applications of a biological nature 2) Describe data sets using both graphical tools and numbers, such as mean and standard deviation 3) Understand the variation inherent to a sample from a population 4) Make inferences about a variable in question (Hypothesis Tests and Confidence Intervals) The course calendar that follows will briefly describe each of the topics that we will cover. The class will, for the most part, follow the textbook, Biostatistics for the Biological and Health Sciences by Triola and Triola. Although not enforced, class attendance and reading of the designated sections of the text prior to class are highly recommended. Should you ever need help with this course, there are several great options available to you: 1) Ask a classmate for help 2) Stop by my office during office hours or make an appointment to see me 3) Departmental Tutoring – Meet one-on-one with former Statistics students. 4) Meet with the TA for our course. Hours and location forthcoming. Additional Course Policies: Academic Integrity: A student found cheating on an examination or assisting others in the course of an examination will receive an F for the course and will be subject to further sanctions. Copying another student’s assignment is considered cheating and will result in receiving a 0 for that assignment. As previously stated, you are encouraged to work together on homework assignments. However, each student is expected to write out their own solutions. For more information, please see the University’s Academic Integrity Policy, which can be found at: http://www.duq.edu/academicaffairs/_pdf/academic-integrity-policy.pdf Information for Students with Disabilities: Duquesne University is committed to providing all students with equal access to learning. If you think you have a disability requiring accommodations, you must register with the Office of Freshman Development and Special Student Services in 309 Duquesne Union (412-396-6657) in order to receive reasonable accommodations in this course. Once a disability is officially documented at Duquesne by this office, and with your permission, instructors will receive letters outlining the reasonable accommodations they are required to make. Once I have received this letter, you and I should meet to coordinate the way these will be implemented in this course. For more information, go to http://www.duq.edu/special-students/policies.cfm Calculators: A calculator is highly recommended but not required. You do not need to go out and buy a graphing calculator - a basic calculator will be sufficient for our course. Using your cell phone as a calculator is not permitted since phones are meant as communication devices (See Academic Integrity above). Course Calendar (subject to change) Date Jan 9 – M Jan 11 – W Jan 13 – F Jan 16 – M Jan 18 – W Jan 20 – F Jan 23 – M Jan 25 – W Jan 27 – F Section 1.1-1.2 1.2-1.3 2.1-2.3 2.1-2.3 2.4 2.5 2.6 2.7 Topic Syllabus; Types of Data Design of Experiments Visualizing Data No Class! MLK Day Visualizing Data, cont. Measures of Center Measures of Variation Measures of Relative Standing Exploratory Data Analysis Jan 30 – M Feb 1 – W Feb 3 – F Feb 6 – M Feb 8 – W Feb 10 – F Feb 13 – M Feb 15 – W 3.1-3.3 3.3-3.4 3.5 3.6 1.1-3.6 1.1-3.6 4.1-4.2 4.3, 3.8 Intro to Probability; Probability Rules Addition and Multiplication Rules Multiplication: Beyond the Basics Risk and Odds Catch Up / Review for Exam #1 Exam #1 – Chapters 1-3 Discrete Probability; Random Variables Binomial Distribution; Counting Feb 17 – F Feb 20 – M 4.3-4.4 4.5, 5.1-5.2 Binomial Distribution, cont. Poisson, Uniform Distributions Feb 22 – W 5.2 Feb 24 – F 5.3 Feb 27 – Mar 2 Mar 5 – M 5.6 Mar 7 – W 5.4 Mar 9 – F 5.4 Mar 12 – M 5.5 Mar 14 – W 6.1-6.2 The Standard Normal Distribution Applications to the Normal Distribution No Class! Spring Break! Normal Approx. to the Binomial Sampling Distributions Sampling Distributions, cont. Central Limit Theorem Estimating a Population Proportion Notes Date Section Topic Mar 16 – F Mar 19 – M 6.2 6.3 Estimating a Population Proportion, cont. Estimating a Population Mean, σ known Mar 21 – W Mar 23 – F 6.4 6.5 Estimating a Population Mean, σ unknown Estimating a Population Variance Mar 26 – M Mar 28 – W 4.1-6.5 4.1-6.5 Review for Exam #2 Exam #2 – Chapters 4-6 Mar 30 – F Apr 2 – M 7.1-7.2 7.3 Introduction to Hypothesis Testing Testing a Claim: Proportion Apr 4 – W Apr 6-9 7.4-7.5 Testing a Claim: Mean No Class! Easter Break Apr 10 – T Apr 11 – W 7.6 8.1-8.2 Testing a Claim: Variance Testing a Claim: Two Proportions Apr 13 – F Apr 16 – M 8.3 8.3 Testing a Claim: Two Means Testing a Claim: Two Means, cont. Apr 18 – W Apr 20 – F 8.4 Matched Pairs Inference Project Presentations Apr 23 – M Project Presentations Thursday April 26th – Final Exam, 8:30AM – 10:30AM Notes Monday Schedule Last Day of Class