POLI 277: MEASUREMENT THEORY
Clyde H. Coombs
Born: 22 July 1912
Died: 4 February 1988
Spring Quarter AY2007-2008
Department of Political Science
University of California, San Diego
La Jolla, CA 92093-0521
Classroom: SSB 104
Time: 3:00PM - 5:50PM Wednesday
Instructor:
Keith T. Poole
Office: SSB 368
E-Mail: ktpoole@uga.edu
WebSite: Voteview Home Page or
UCSD Voteview Home Page
The following texts will be used in this course:
Requirements
This course is intended as an extension of
POLS 6382 Advanced Multivariate Statistics. The
emphasis will be on
dimensional analysis, that is, the measurement
of latent dimensions in data matrices. A working knowledge
of OLS multiple regression analysis and
STATA is required for this course.
Students will be required
to learn Epsilon (EMACS), a screen editor,
and the open-source statistical package -- R.
In the second half of the course we will also use the open-source Bayesian
statistical package WINBUGS. We will also
use a variety of "canned"
programs that perform various kinds of dimensional analyses.
Grades will be determined by regularly
assigned class problems.
Below are links to my Advanced Multivariate Statistics course web page for the fall of 2001
and and spring of 2003 at the University of Houston and
my Prob-Stat II (required MBA course)
web pages from AY1997-98 at Carnegie-Mellon University. These should be
helpful if you need to refresh your memory about
multiple regression.
POLS 6382 Advanced Multivariate Statistics (UH, fall 2001)
Probability and Statistics II Main Page (CMU Spring 1998)
Useful Links -- EPSILON
EPSILON HomePage -- Lugaru Software Ltd.
Useful Epsilon Commands and Examples
Useful Links --
R
PCH Symbols in R
Octal References for Math Symbols that can be used in PlotMath in R
Miscellaneous Useful R Programs
Useful Links --
Multidimensional Scaling
How to Use KYST, A Very Flexible Program to
do Multidimensional Scaling and Unfolding
2001 Homeworks
First Homework Assignment
Second Homework Assignment
Third Homework Assignment
Fourth Homework Assignment
Fifth Homework Assignment
Sixth Homework Assignment
Seventh Homework Assignment
Eighth Homework Assignment
Ninth Homework Assignment
Tenth Homework Assignment
Eleventh Homework Assignment
2003 Homeworks
First Homework Assignment
Second Homework Assignment
Third Homework Assignment
Fourth Homework Assignment
Fifth Homework Assignment
Sixth Homework Assignment
Seventh Homework Assignment
Eighth Homework Assignment
Ninth Homework Assignment
Tenth Homework Assignment
Eleventh Homework Assignment
Twelveth Homework Assignment
Thirteenth Homework Assignment
2004 Homeworks for UCSD Short Course
First Homework Assignment
Second Homework Assignment
Third Homework Assignment
2006 Homeworks
First Homework Assignment
Second Homework Assignment
Third Homework Assignment
Fourth Homework Assignment
Fifth Homework Assignment
Sixth Homework Assignment
Seventh Homework Assignment
Eighth Homework Assignment
2007 Homeworks
First Homework Assignment
Second Homework Assignment
Third Homework Assignment
Fourth Homework Assignment
Fifth Homework Assignment
Sixth Homework Assignment
Seventh Homework Assignment
Eighth Homework Assignment
Course Outline
- Clyde Coombs' Theory of Data: Similarities and Preferential Choice
Assignment:
- Classical Scaling of Similarities Data
Assignment:
- Non-Metric Multidimensional Scaling
Assignment:
- Borg and Groenen, Chapters 7, 8, 9, 10, 11, 13
- Notes on Non-Metric Multidimensional Scaling
- Gleason, Terry C. 1967. "A General Model for Non-Metric
Multidimensional Scaling." Working Paper MMPP 67-3, University of Michigan Mathematical Psychology
Program.
shepard_plot.r
-- Simple R Program that Illustrates the Shepard Plot using KYST
Output
plot_eigenvalues.r
-- Simple R Program that does a Skree Plot of Eigenvalues from OC
Output
- Weisberg, Herbert F. 1984. "Scaling Objectives and Procedures." In Theory
Building and Data Analysis in the Social Sciences. Edited by Herbert Asher,
Herbert F. Weisberg, John Kessel, and W. Phillips Shively.
- Weisberg, Herbert F. 1974. "Dimensionland: An Excursion into Spaces." American
Journal of Political Science, 18:743-776.
- Rabinowitz, George. 1975. "An Introduction to Nonmetric Multidimensional Scaling."
American Journal of Political Science, 19:343-390.
- Weisberg, Herbert F. and and Jerrold G. Rusk. 1970. "Dimensions of Candidate Evaluation."
The American Political Science Review, 64:1167-1185.
- Rusk, Jerrold G. and Herbert F. Weisberg. 1972.
"Perceptions of Presidential Candidates."
Midwest Journal of Political Science, 16(3):388-410.
- Shepard, Roger N. 1987. "Toward a Universal Law of Generalization for
Psychological Science." Science, 237:1317-1323.
- Ennis, Daniel M., Joseph J. Palen, and Kenneth Mullen. 1988. "A Multidimensional
Stochastic Theory of Similarity." Journal of Mathematical Psychology,
32:449-465.
- Nosofsky, Robert M. 1988. "On Exemplar-Based Exemplar Representations: Reply to
Ennis (1988)." Journal of Experimental Psychology: General, 117:412-414.
Fourth Homework Assignment
- Unfolding Analysis: Non-Parametric Methods [Optimal Classification (OC)]
Assignment:
- Unfolding Analysis: Parametric Methods
- Analysis of Interval Level Data -- Interest Group Ratings and Thermometer Scores
Assignment:
- Borg and Groenen, Chapters 14, 15, 16 (14, 15 1997 edition)
- Wang, Ming-Mei, Peter H. Schonemann, and Jerrold
G. Rusk. 1975. "A Conjugate Gradient Algorithm for the Multidimensional Analysis of Preference Data."
Multivariate Behavioral Research, 10:45-80.
- Rabinowitz, George. 1976. "A Procedure for Ordering Object Pairs Consistent With
The Multidimensional Unfolding Model." Psychometrika, 41(3):349-373.
- Poole, Keith T. 1984. "Least Squares Metric, Unidimensional
Unfolding." Psychometrika, 49:311-323.
- Poole, Keith T. and Howard
Rosenthal. 1984. "U.S. Presidential Elections 1968-80: A Spatial Analysis."
American Journal of Political Science, 28(2):282-312.
- Cahoon, Lawrence S., Melvin J. Hinich, and Peter C. Ordeshook. 1976. "A
Multidimensional Statistical Procedure for Spatial Analysis." Manuscript,
Carnegie-Mellon University.
- Analysis of Perceptual Data -- Seven Point Scales
Assignment:
- Aldrich, John H. and Richard D. McKelvey. 1977.
"A Method of Scaling with Applications to the 1968 and 1972 Presidential Elections."
American Political Science Review, 71:111-130.
- Palfrey, Thomas R. and Keith T. Poole. 1987. "The Relationship Between
Information, Ideology, and Voting Behavior." American Journal of Political Science,
31:511-530.
- Poole, Keith T. 1998.
"Recovering a Basic Space From a Set of Issue Scales." American Journal of Political Science,
42:954-993.
- Poole, Keith T. 1998.
"How to Use the Black Box."
A Supplement to "Recovering a Basic Space From a Set of Issue Scales" that shows in
detail how to apply the various programs used in the article.
- Poole, Keith T. 2001. "The Relationship Between the Aldrich-McKelvey Scaling Solution
and the Individual Differences Problem." Manuscript, University of Houston.
- Analysis of Roll Call Data (Discrete Data)
Assignment:
- Package MCMCPack -- Andrew Martin and Kevin Quinn (PDF)
- MCMCPack (HTML)
- Poole, Chapters 4, 5, 6
- Clinton, Joshua D., Simon D. Jackman, and Douglas Rivers. 2004. "The Statistical
Analysis of Roll Call Data: A Unified Approach." American Political Science
Review, 98:355-370.
- Martin, Andrew D. and Kevin M. Quinn. 2002. "Dynamic Ideal Point Estimation via
Markov Chain Monte Carlo for the U.S. Supreme Court, 1953-1999." Political
Analysis, 10:134-153.
- Londregan, John B. 2000. "Estimating Legislators' Preferred Points." Political
Analysis, 8:35-36.
Sixth Homework Assignment
Seventh Homework Assignment
Eighth Homework Assignment