Born: 22 July 1912

Died: 4 February 1988

Department of Political Science

University of California, San Diego

La Jolla, CA 92093-0521

Classroom: SSB 104

Time: 3:00PM - 5:50PM Wednesday

Instructor:

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:

- Poole, Keith T. 2005.
, New York: Cambridge University Press.*Spatial Models of Parliamentary Voting* - Coombs, Clyde. 1964.
. New York: John Wiley (Selected Chapters).*A Theory of Data* - Borg, Ingwer and Patrick Groenen. 2005.
. New York: Springer-Verlag.*Modern Multidimensional Scaling: Theory and Applications (2nd Edition)*

*An Introduction to R*. (Reference Work by R Development Core Team)*Using R for Data Analysis and Graphics: An Introduction*. (Reference Work by J. H. Maindonald on R Graphics)

Requirements

This course is intended as an extension of POLS 6382 Advanced Multivariate Statistics. The emphasis will be on

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)

Prob-Stat II 1997-98: First Homework Assignment

Prob-Stat II 1997-98: Answers For First Homework Assignment

Prob-Stat II 1997-98: Answers For First Homework Assignment

Useful Epsilon Commands and Examples

PCH Symbols in R

Octal References for Math Symbols that can be used in PlotMath in R

Miscellaneous Useful R Programs

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2007 Homeworks

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**Clyde Coombs' Theory of Data: Similarities and Preferential Choice****Assignment:**- Coombs, Chapter 1
- Borg and Groenen, Preface and Chapter 1
- Carroll, J. Douglas and Phipps Arabie. 1980. "Multidimensional Scaling."
M. R. Rosenzweig and L. W. Porter, eds., vol. 31, 1980.*Annual Review of Psychology.* - Poole, Chapters 1 and 2

- Coombs, Chapter 1
**Classical Scaling of Similarities Data****Assignment:**- Borg and Groenen, Chapter 2, 3, 4, 6, 12
- Double-Centering a Matrix of Squared Distancesdouble_center_seven_points.r -- Simple R Program that Illustrates Double-Centeringseven_points_example.txt -- Simple Squared Distance Matrix for Seven Points
- Eigenvalues and Eigenvectors
- Solving the Metric Similarities Problem
- Singular Value Decompositionsvd_example_2007.r -- Simple R Program that Illustrates Singular Value DecompositionFirst Homework Assignmentsvd_matrix_2007.txt -- Simple 6 by 4 Matrix for SVDsvd_example_3_2007.r -- R Program that Illustrates Point Clouds Singular Vectors

svd_new_example_1_2007.r -- R Program that Illustrates Ratios of First Two Singular Values

Second Homework Assignment

Third Homework Assignment

- Borg and Groenen, Chapter 2, 3, 4, 6, 12
**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**Outputkyst_Weisberg_DIST_DHAT.txt --plot_eigenvalues.r -- Simple R Program that does a Skree Plot of Eigenvalues from**KYST**listing of DHATS and DISTs for Weisberg and Rusk 2-Dimensional Solution

colors_DIST_DHAT.txt --**KYST**listing of DHATS and DISTs for Color Circle 2-Dimensional Solution**OC**Output

- Weisberg, Herbert F. 1984. "Scaling Objectives and Procedures." In
Edited by Herbert Asher, Herbert F. Weisberg, John Kessel, and W. Phillips Shively.*Theory Building and Data Analysis in the Social Sciences.* - 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."
, 237:1317-1323.*Science* - Ennis, Daniel M., Joseph J. Palen, and Kenneth Mullen. 1988. "A Multidimensional Stochastic
Theory of Similarity."
, 32:449-465.*Journal of Mathematical Psychology* - Nosofsky, Robert M. 1988. "On Exemplar-Based Exemplar Representations: Reply to Ennis
(1988)."
, 117:412-414.*Journal of Experimental Psychology: General* - Fourth Homework Assignment

- Borg and Groenen, Chapters 7, 8, 9, 10, 11, 13
**Unfolding Analysis: Non-Parametric Methods [Optimal Classification (OC)]****Assignment:**-
- Poole, Chapter 3coombs_mesh.r -- Simple R Program that does Complete Coombs MeshFifth Homework Assignment

- Poole, Chapter 3
**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.

- Borg and Groenen, Chapters 14, 15, 16 (14, 15 1997 edition)
**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."
, 71:111-130.*American Political Science Review* - Palfrey, Thomas R. and Keith T. Poole. 1987. "The Relationship Between Information,
Ideology, and Voting Behavior."
, 31:511-530.*American Journal of Political Science* - Poole, Keith T. 1998. "Recovering a Basic Space From a Set of Issue Scales."
, 42:954-993.*American Journal of Political Science* - 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.

- Aldrich, John H. and Richard D. McKelvey. 1977. "A Method of Scaling with Applications
to the 1968 and 1972 Presidential Elections."
**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."
, 98:355-370.*American Political Science Review* - 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."
, 10:134-153.*Political Analysis* - Londregan, John B. 2000. "Estimating Legislators' Preferred Points."
, 8:35-36.*Political Analysis* -
wnominate_in_R.r -- Simple R Program that does W-NOMINATESixth Homework Assignment

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Eighth Homework Assignment

- Package MCMCPack -- Andrew Martin and Kevin Quinn (PDF)