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MAT22 Introduction to Statistics Basic Information Instructor Name Tolga Koker Home Institution Yale University Email [email protected] [email protected] by Appointment Office Hours COURSE DESCRIPTION This course introduces statistical reasoning, emphasizing how statistics can help us understand the world. Topics include numerical and graphical summaries of data, data acquisition and experimental design, probability, hypothesis testing, confidence intervals, correlation and regression. Students will learn to apply statistical concepts to data and reach conclusions about real-world problems. Thus, by the end of this class, students will be able to analyze for themselves different aspect of everyday life, and hence, make informed decisions about them. This course is intended to be accessible to all students having a basic knowledge of high school algebra. Students will be challenged by statistical reasoning, not by mathematical manipulations. If you have any concerns about whether you are ready (over-prepared) for this course, please speak with me. This is an introductory course with no prerequisites. COURSE OBJECTIVES The course is designed to provide a solid background on how statistics works and improve student’s intuition on statistical applications. COURSE HOURS The course has 20 class sessions in total. Each class session is 120 minutes in length. The course meets from Monday to Friday. Each course has a total of 40 class hours (4 credit hours). READINGS MAIN TEXTBOOK: Richard D. De Veaux, Paul Velleman and David E. Bock, Intro Stats, 84h ed. Pearson Publishers, New York, 2014. ISBN-10: 0321825276 • ISBN-13: 9780321825278 (International ed. is OK.) SUPPLEMENTARY TEXT: Grady Klein and Alan Dabney, The Cartoon Introduction to Statistics, Farrar, Straus and Giroux Publishers, New York, 2013. ISBN-13: 9780809033591 ANCILLARY READINGS Students are also responsible for making themselves familiar with ActivStats (Data DVD) that comes with the textbook and using one of the statistics computer program (Minitab, SPSS, etc.) whose user manual to some extent detailed in the textbook. Students may get some extra help from the textbook’s website at: http://www.pearsonhighered.com/educator/product/Intro-Stats-4E/9780321825278.page Students are also strongly advised, whenever needed, to consult any edition of one of the following Introductory Statistics books for further references: Richard D. De Veaux, Paul Velleman and David E. Bock, Stats: Data and Models, Pearson. Neil A. Weiss, Introductory Statistics, Addison-Wesley. RobertGould and Colleen N. Ryan, Introductory Statistics, Pearson. REQUIREMENTS The most important requirements for the course are class attendance and completing the readings and homeworks as assigned. participation will contribute to final letter grade. Class attendance and constructive The understanding of statistics will be enhanced through exposure to different types of material, which are cumulative. For this reason, students should keep up with the readings. Otherwise, they are most likely be overwhelmed at exam time and lost in space in class. It is recommended that students regularly study at least 3-4 hours everyday outside the lectures. The requirements for the course also include two quizzes, a midterm exam, a final exam, eight problem sets. Each student is encouraged to work with fellow classmates on problem sets, but each must each hand in his/her solutions. Please note the due dates for the assignments. All the information pertaining to this course, including the problem sets will be posted online. Since the answer key to each problem set will be posted at its due date no late problem set will be accepted. It is students’ responsibility to check the web site announced at the beginning of the lectures periodically. The exam dates are as follows: Quiz I: At the End of the First Week Midterm: At the End of the Second Week Quiz II: At the End of the Third Week Final: At the End of the Fourth Week N.B. These dates will not be changed for any students, and there will be no make-ups. No student will be given special privileges that are unavailable to other students. All students are expected to take every exam and submit their solution to problem sets. If a student misses the midterm due to a documented reason, his/her grade will be weighted based on his/her other exam. Every student must take the final exam in order to get a letter grade. GRADING The quizzes will account for 30 percent (each 15 percent) the midterm for 20 percent, the final for 30 percent, the problems sets for 20 percent (each 2.5 percent). Cheating Policy: If you cheat once in any exam, you will fail this course in addition to whatever other penalties the university may levy. OFFICE HOURS Please do not hesitate to stop me just after class if you are having problems with the material. I am always willing to help in any way that I can. Often a difficulty with a topic can be easily resolved by talking with me. COURSE SCHEDULE All items on this outline are subject to change at the instructor's sole discretion. Depending on class discussions, some topics may be covered more quickly or more slowly. TOPICS & READINGS PART I: Exploring and Understanding Data Ch. 1— Stats Starts Here! Ch. 2— Displaying and Describing Categorical Data Ch. 3— Displaying and Summarizing Quantitative Data Ch. 4— Understanding and Comparing Distributions Ch. 5— The Standard Deviation as a Ruler and the Normal Model *** QUIZ I *** Part II. Exploring Relationships Between Variables Ch. 6— Scatterplots, Association, and Correlation Ch. 7— Linear Regression Ch. 8— Regression Wisdom Part III. Gathering Data Ch. 9— Understanding Randomness Ch. 10— Sample Surveys Ch. 11— Experiments and Observational Studies *** MIDTERM *** TOPICS & READINGS Part IV. Randomness and Probability Ch. 12— From Randomness to Probability Ch. 13— Probability Rules! Ch. 14— Random Variables and Probability Models Part V. From the Data at Hand to the World at Large Ch. 15— Sampling Distribution Models Ch. 16— Confidence Intervals for Proportions Ch. 17— Testing Hypotheses About Proportions Ch. 18— Inferences About Means Ch. 19— More About Tests and Intervals *** QUIZ II *** Part VI. Learning About the World Ch. 20— Comparing Groups Ch. 21— Paired Samples and Blocks Ch. 22— Comparing Counts Ch. 23— Inferences for Regression *** FINAL *** GOOD LUCK! HOPE YOU ALL WILL ENJOY THE COURSE!