INTRODUCTION TO STATISTICAL METHODS IN EDUCATION Education 160 Fall 2005 MWF 11:00 - 12:30 CERAS 108—Big Tree Instructor: Richard J. Shavelson Cubberley 308 723-4040 richs@stanford.edu Teaching Assistants: Kun Yuan (katyuan@stanford.edu) Jeff Steedle (jsteedle@stanford.edu) Cubberley 338 724-9085 Office Hours: 10:00 - 11:00 Wednesday By Appointment Office Hours: 12:30-1:30pm Wednesday and Friday By Appointment COURSE DESCRIPTION This course introduces students to basic concepts and procedures in descriptive and inferential statistics, and prepares them for subsequent statistical courses in linear regression modeling (Ed 250A), analysis of variance (Ed 250B), and beyond. The course begins with methods for describing and summarizing single-variable (frequency) distributions followed by methods for describing relationships between two (or more) variables. The course then introduces probability theory as a background for understanding inferential statistics. Methods are next presented for drawing inferences from research samples to populations from which the samples were drawn. The course covers basic statistical tests: z-tests, t tests, analysis of variance, and nonparametric tests. Students will also be introduced to two statistical packages: SPSS and STATA. SPSS will be the main statistical package for this course; STATA will be used in subsequent courses. We will show you how to use both packages in parallel during class but with emphasis on SPSS. You can use either SPSS or STATA for assignments. As a supplement to learning to use SPSS in class, we encourage you to enroll in or audit Education 401A—a course devoted to the use of SPSS. The schedule for the course is Monday afternoons from 4:15-6:05pm in Big Tree. Here’s the schedule: 10/10: SPSS #1: descriptive statistics 10/17: SPSS #2: correlation 11/7: SPSS #3: t-tests 11/14: SPSS #4: ANOVA 12/5: SPSS #5: linear regression (simple and multiple) Ed 160 Intro to Stats Methods Shavelson, Yuan, Steedle Check with the instructor, Amita Chudgar (amitac@stanford.edu), if you have any questions. The course is meant to be informative and fun (yes, fun!), and we guarantee everyone that after this course, you will want to know more, and that the world of statistical thinking will never seem the same for you. Typically Mondays and Wednesdays will be devoted to presentation of material with some hands-on computer work and Fridays will be devoted to hands-on data analysis with SPSS (with backup for STATA), discussion of homework, and (rarely) new material. We encourage you to work in groups… except for the midterm and final exams. REQUIRED TEXTBOOK Shavelson, R.J. (1996). Statistical reasoning for the behavioral sciences (3rdEd.). Boston: Allyn & Bacon. SUPPLEMENTAL MATERIAL Ruiz-Primo, M.A., Mitchell, M., & Shavelson, R.J. (1996). Student guide for Shavelson statistical reasoning for the behavioral sciences (3rdEd.). Boston: Allyn & Bacon. (Unfortunately the Guide is out of print at the publisher.) NOTE: Both books are on 4-Hour Reserve in Cubberley Library. They will also be used in Ed 250B: Analysis of Variance. COURSE REQUIREMENTS Homework exercises. Every week to ten days, you will be given problems posted on CourseWork. We encourage you to work these problems in groups so you have a chance to discuss them and pose questions. You should work the problems both by hand and with SPSS (or STATA) as a check on your solution. Come to the lab session (typically Friday class) with any questions you might have from doing the problems. In this session we will discuss the problems, answers and your questions; you may annotate your homework answer during the session, at the end of which you will hand it in. Each homework assignment will be graded as pass/no pass, but the primary intent of the homework is for you to assess your on-going learning and to guide your own learning efforts. So, on your homework sheets, please feel free to include questions and comments that can help us teach you better. Exams. There will be two take-home exams during the course, a midterm and final, with problems similar to those found in the homework problems. In addition, the final will include a mini-project where you will be given the design of a study and data collected according to that design, and your task will be to analyze the data and explain what you found and conclude. These exams are taken under the honor code. Students may not discuss the problems with others until the exams have been turned in. Grading. The course is graded Satisfactory/No Credit. To receive credit for the course, you must successfully complete all assignments and exams. (We’ll hand them back to you if there are major errors for you to revise.) 2 Ed 160 Intro to Stats Methods Shavelson, Yuan, Steedle COURSE SCHEDULE AND TOPICS Week Of Topics Readings 9/26 Introduction to course Research design and statistics Frequency distributions Statistic Lab: Introduction to SPSS & STATA Shavelson: Section I, Chapter 1& 2 Ruiz-Primo: Ch 1& 2 S: Section II, Ch 3 (pp. 43-58) R: Ch 3 Data Set: Pygmalion 10/3 Frequency distributions (cont’d.) Assignment 1 due on 10/7 Measures of central tendency and variability Statistic Lab: Descriptive statistics S: Ch 3; R: Ch 3 S: Ch 4; R: Ch 4 Data Set: High School & Beyond (HS&B) 10/10 Measures of variability (cont’d.) Assignment 2 due on 10/14 Normal Distributions Joint Distributions and correlation Statistic Lab: Joint distributions and correlation S: Ch 5 S: Section III, Ch 6 (pp. 145-162); R: Ch 5 & 6 Data Set: HS&B 10/17 Correlation (cont’d.) Assignment 3 due on 10/21 Linear regression Statistics Labs: Correlation & regression S: Ch 6 & 7 R: Ch 6 & 7 Data Set: HS&B S: Section IV, Ch 8; R: Ch 8 10/21 Take home midterm due on 10/28 Review what has been covered. 10/24 Statistical inference Probability S: Ch 8 & 9 R: Ch 8 & 9 Data Set: HS&B Assignment 4 due on 11/2 10/31 Statistical inference with the normal distribution Statistics Lab: Z test 3 S: Ch 10 R: Ch 10 Data Set: HS&B Ed 160 Intro to Stats Methods Shavelson, Yuan, Steedle 11/7 Statistical power t-tests Statistics Lab: Power Assignment 5 due on 11/14 S: Ch 11 & Section V Ch 12 R: Ch 11 & 12 Data Set: HS&B 11/14 t-test (Cont’d) One-way analysis of variance (ANOVA) Statistics Lab: t-test S: Ch 12 & 13 R: Ch 12 & 13 Data Set: HS&B 11/21 THANKSGIVING VACATION WEEK!!! 11/28 One-way ANOVA (Cont’d) Assignment 6 due on 12/05 S: Ch 13, Data Set: HS&B Statistics Lab: ANOVA 12/5 One-way ANOVA (Cont’d) Nonparametric statistics S: Ch 13, 19, 20 (pp. 580-586) R: Ch 13, 19, 20 (pp. 545-549) Review 12/9 Take Home Final handed out Review what has been covered after the midterm. 12/16 Take Home Final due @ 5PM Have a Great Vacation! 4