Syllabus for Psychology 221A

                                                          Design and Measurement

                                                                       Fall 2009

 

Lecturer: Sebastien Helie                                     T.A.: Benjamin Turner

Office: 3803 Psychology East                                                1504 Psychology

Phone: 893‑7909      893-7909  

Office Hours: 10:00 - 12:00 Tuesday, or by appointment      Mon. – Wed., 12:00 – 1:00pm

Class: Monday – Wednesday, 1:00 – 2:15pm                        Lab: Friday, 1:15 – 2:30pm

 

Goal: To develop an understanding of the basic principles of statistical inference.

 

Prerequisites: At least one course in statistics is required, and at least one course in calculus is strongly recommended.

 

Evaluation: One final (12/05 -- 100 pts), and 4 (roughly equally spaced) homework assignments (each worth 25 pts).

 

Text: Hays, W. L. (1994). Statistics, Fifth Edition (Third and Fourth Editions are similar). Belmont, CA: Wadsworth.

 

Lecture Topics and Recommended Readings:

Week 1 (09/27 – 10/03)

1. Introduction

Hays: Section 0.1

2. Fundamentals of Measurement

Hays: Sections 2.1 – 2.4, 2.10, 2.12

 

Week 2 (10/04 – 10/10) -- Homework #1

1. Probability and Probability Distributions (discrete and continuous random variables, probability density functions, cumulative distribution functions)

Hays: Sections 1.2 - 1.7, 2.13 - 2.20, 2.22

2. Outline of Hypothesis Testing and Overview of Course

Hays: Section 1.8

 

Week 3 (10/11 – 10/17)

1. Parameters and Mathematical Expectation

Hays: Sections 4.2, 4.6 - 4.7, 4.10 – 4.13, 4.15, 4.17, Appendix B.1 - B.2

2. Sampling Distributions and Parameter Estimation (method of moments, maximum likelihood, least squares, minimum variance unbiased estimators, consistency)

Hays: Sections 5.4-5.7, 5.9

 

Week 4 (10/18 – 10/24) -- Homework #2

1. More on distributions and parameter estimation.

2. The Normal Distribution and the Central Limit Theorem

Hays: Sections 6.1-6.3, 6.6-6.10

 

Week 5 (10/25 – 10/31)

1. Introduction to Hypothesis Testing: The z‑test (including power & confidence intervals)

Hays: Sections 7.1-7.3, 7.5-7.16, 7.18

2. Hypothesis Testing on Means: Unknown Variance (including power, effect size, & confidence intervals)

Hays: Sections 8.1-8.6, 8.11.

 

Week 6 (11/01 – 11/07) -- Homework #3    IQ.txt    data_w.txt

1. Comparing Two Treatments (two sample t-tests for independent samples and for repeated measures)

                       Hays: Sections 8.7-8.10, 8.16

2. The Binomial Distribution: Tests on Proportions, sign test, test of median

Hays: Sections 3.9-3.11, 3.13-3.16

 

Week 7 (11/08 – 11/14; Wednesday is a holyday)

1. Hypothesis Testing on Variances: The chi-squared distribution

Hays: Sections 9.1-9.5, 9.7-9.10

2. Testing more than two means: The analysis of variance

Hays: Sections 10.5-10.7, 10.9, 10.12, 10.15-10.17, 10.19-10.20, 11.17

 

Week 8 (11/15 – 11/21)

1. More on the analysis of variance

2.     Categorical data analysis: Chi-Square

Hays: Sections 9.12, 18.1.

 

Week 9 (11/22 – 11/28)

1.     Introduction to Bayesian statistics

2.     The Bayes factor

 

Week 10 (11/29 – 12/05)

1.     Study time

2.     FINAL

 

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