Education 160

Introduction to Statistical Methods in Education

Fall Quarter, 2009

Course Text

Welkowitz, J., Cohen, B. & Ewen, R. Introductory Statistics for the Behavioral Sciences. 6th Edition. John Wiley & Sons..

Statistical Package for the Social Sciences (SPSS)..

Course Description

Kenji Hakuta, Professor

e-mail Office Hours: by appointment (send e-mail), Cubberley 228

I will generally be in the Big Tree classroom a half-hour before each lecture, and will hang around after class to answer questions.


Carrie Oelberger , Teaching Assistant



The primary objective of the course is to introduce you to the major basic concepts in descriptive and inferential statistics, and to prepare you for subsequent statistical courses in multivariate statistics and beyond. (If you do not intend on taking subsequent statistics courses, you should register for Education 150.) This course begins with methods to describe and summarize frequency distributions. This is followed by various methods to describe the relationships between two variables. Finally, we provide an introduction to probability theory methods to draw inferences about the relationship between samples used in studies to the universe from which the samples were drawn. You will also be introduced to a statistical software program, SPSS. 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.

Homework exercises. Most weeks, you will be given problems posted on this website to complete. We very much encourage you to do these problems in groups so that you can have a chance to discuss them and pose questions. You should come to the discussion section, generally held on Fridays (with some scheduling exceptions, see syllabus), with your answers. The sections will discuss the problems and answers, and you may annotate your homework answer during the sections, at the end of which you will be asked to hand them in. Each homework will be graded as pass/no pass, but the primary intent of the homework is to assess your on-going learning and to guide our own instructional 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, with problems similar to those found in the homework problems. These exams are under the honor code. Students may not discuss the problems with others until the problems have been turned in.

Grading. Since this is a prerequisite course for the statistics sequence, the intent is to enable all students who put in the effort to pass. The course will be graded pass/no pass. Homework assisngment and exams will be graded in such a way as to give feedback on your command of the materials. Instructors are committed to alerting students who are in trouble, and to suggest corrective steps.

Week of
Main Topics

Class Slides, Data Sets, Homework Assignments, Announcements



Tour of statistics and measurement, research design. Ch. 1; Frequency Distributions. Ch. 2

Section on Friday, 9/25 will be an introduction to SPSS - please bring your own laptop to class if possible.

Lecture 1 Slides

Webpage on arctic warming. See graph.

Lecture 2 Slides

Hands data 2009

Hands data 2007


Central Tendency and Variability. Ch. 3, 4, 5.

There will be a regular lecture scheduled for Friday, 10/2 instead of regular section.

Homework 1 (due 10/5)

Lecture 3 Slides (9/28)

High School and Beyond Data

Lecture 4 Slides (9/30) - Central Tendency

Lecture 5 Slides (10/2) - Variability


Data Transformation and Graphical Displays. Ch. 6, 7.

Section will be on Monday, 10/5. Homework #1 will be due.

There will be a regular lecture scheduled for Friday, 10/9 instead of regular section.

Carrie's Section Slides (10/5)

Lecture 6 Slides (10/7) - Transformations

Lecture 7 Slides (10/9) - Graphical Displays

Homework 2 (due 10/16 at 5:00 PM)


Normal Distribution and Statistical Inference. Ch. 8, 9.

Lecture 8 Slides (10/12) - Hypothesis Testing

Lecture 9 Slides (10/14) - Sampling Distributions and using the z-test for significance.

Carrie's Section Slides (10/16)


Testing for Differences between Means. Ch. 10, 11.

Lecture 10 Slides (10/19) t-distribution, one-sample test, confidence intervals.

Lecture 11 Slides (10/21) independent samples t-test

Friday lab posting (10/23)

New hands data! (for 10/23)

Take Home Examination #1: Handed out Monday, October 19, due October 26, 5:00 PM

Midterm Exam

SPSS format: Data for Problem 5 (teacher salaries)

SPSS format Data for Problem 6 (anorexia)

Excel format data for Problems 5 and 6



Testing for Differences between Means, continued


Homework 3 (due 11/6 at 5:00 PM)

Carrie's Section Slides (10/30)

11/2 Correlation and Regression. Ch. 12, 13.

Lecture 12 Slides (11/2) Correlation

Lecture 13 Slides (11/4) More on correlation.

Carrie's Section Slides (11/6)

11/9 More correlation, regression, and Power Analysis (Ch. 14).

Lecture 14 Slides (11/9 and11/11) Linear Regression

Carrie's Section Slides (11/13)

Homework 4 (due 11/17)


One-Way Analysis of Variance and Multiple Comparisons (Ch. 15, 16) Simple Factorial Design. Ch. 17

There will be no section on Friday, 11/20.

Lecture 15 Slides (11/18) Analysis of Variance.

Homework Problems: Ch. 15, Problerms 1, 3. Ch. 16 Problems 1, 3 (calculate LSD only).

11/26 Thanksgiving week - NO CLASSES - Happy Thanksgiving!


Take Home Examination #2: Handed out November 30, due December 7, 5:00 PM

Final Exam

11/30 Power Analysis, Nonparametric Statistics, and Review.

Lecture 16 Slides (11/30) Power Analysis.

Lecture 17 Slides (12/2) Non-parametric and sum up.

Fryer & Dobbie NBER paper