POLS 8505: MEASUREMENT THEORY
Clyde H. Coombs
Born: 22 July 1912
Died: 4 February 1988
Fall Semester AY2011-2012
Department of Political Science
School of Public and International Affairs
University of Georgia
Athens, GA 30602
Classroom: Baldwin 302
Time: 3:35-6:35 Wednesdays
Instructor:
Keith T. Poole
Office: Baldwin 304D
E-Mail: ktpoole@uga.edu
WebSite: K7MOA Home Page or
Office Hours: 2:00 - 4:00PM Thursdays or By Appointment
The following texts will be used in this course:
Requirements
This course is concerned with
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
Epsilon Keyboard Macro Examples
Epsilon Text File Macro 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
Useful Links -- Old Homeworks
Old Homeworks: 2001 - 2008
Useful Links --
How to Install GNU C/C++ and FORTRAN Compilers for WINDOWS and MAC Machines
How to Install GNU Compilers
Useful Links -- How to Install JAGS on the MAC
How to Install JAGS
Useful Links -- JAGS for WINDOWS 64 bit
Sourcefore
JAGS 3.1 -- Runs on 64 bit WINDOWS and
64 bit R
Problem Sets (2011)
Homework 1: Due 24 August 2011(WINDOWS)
Homework 1: Due 24 August 2011(iMAC)
Homework 2: Due 31 August 2011(WINDOWS)
Homework 2: Due 31 August 2011(iMAC)
Homework 3: Due 7 September 2011(WINDOWS)
Homework 3: Due 7 September 2011(iMAC)
Homework 4: Due 14 September 2011(WINDOWS)
Homework 4: Due 14 September 2011(iMAC)
Homework 5: Due 21 September 2011(WINDOWS)
Homework 5: Due 21 September 2011(iMAC)
Homework 6: Due 28 September 2011(WINDOWS)
Homework 6: Due 28 September 2011(iMAC)
Homework 7: Due 5 October 2011(WINDOWS)
Homework 7: Due 5 October 2011(iMAC)
Homework 8: Due 12 October 2011(WINDOWS)
Homework 8: Due 12 October 2011(iMAC)
Homework 9: Due 19 October 2011(WINDOWS)
Homework 9: Due 19 October 2011(iMAC)
Homework 10: Due 26 October 2011(WINDOWS)
Homework 10: Due 26 October 2011(iMAC)
Homework 11: Due 2 November 2011(WINDOWS)
Homework 11: Due 2 November 2011(iMAC)
Homework 12: Due 9 November 2011(WINDOWS)
Homework 12: Due 9 November 2011(iMAC)
Homework 13: Due 16 November 2011(WINDOWS)
Homework 13: Due 16 November 2011(iMAC)
Homework 14: Due 30 November 2011(WINDOWS)
Homework 14: Due 30 November 2011(iMAC)
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_nations.r
-- R Program that Illustrates the Shepard Plot using KYST
Output for Nations Similarities Data
nations_2011.prn -- --
KYST listing of DHATS and DISTs for Nations 1 to 3 Dimensional
Solution
shepard_plot.r
-- 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_and_Rusk_Shepard_Plot.r
-- R Program that replicates the Weisberg and Rusk analysis of the
1968 Candidate Feeling Thermometers
therm68.txt
-- 12 Candidate Feeling Thermometers from the 1968 National Election
Study
Morse_two_ways.r
-- R Program that performs NonMetric MDS on the Upper and Lower Morse
Code Data using
isoMDS
- 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.
- Bayesian Multidimensional Scaling
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)
- Solving the Thermometer Problem
- 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. 1990. "Least Squares Metric, Unidimensional
Scaling of Multivariate Linear Models." Psychometrika,
55:123-149.
- 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.
- Notes on The Basic Space Model
- Likert, Rensis. 1932. "A Technique for the Measurement of Attitudes." Archives of Psychology,
22(1932-33):5-55.
- 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.
- Lewis, Jeffrey B. and Keith T. Poole. 2003. "Measuring Bias and Uncertainty in
Ideal Point Estimates via the Parametric Bootstrap." Working Paper, UCLA and UH, 20 May 2003.
- Neal, Radford M. 2003. "Slice Sampling."
Annals of Statistics, 31(3):705-767.
- The NOMINATE Model
- The Quadratic Utility Model
- Notes on the NOMINATE Model