Measurement Theory UCSD

Ninth Homework Assignment

Tenth Homework Assignment

Eleventh Homework Assignment

2003 Homeworks

Ninth Homework Assignment

Tenth Homework Assignment

Eleventh Homework Assignment

Twelveth Homework Assignment

Thirteenth Homework Assignment

2004 Homeworks for UCSD Short Course

Third Homework Assignment

2006 Homeworks

Eighth Homework Assignment

2007 Homeworks

Notes on Non-Metric Multidimensional Scaling

Course Outline

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." Annual Review of Psychology. M. R. Rosenzweig and L. W. Porter, eds., vol. 31, 1980.
Poole, Chapters 1 and 2

Classical Scaling of Similarities Data

Assignment:

Borg and Groenen, Chapter 2, 3, 4, 6, 12
Double-Centering a Matrix of Squared Distances
Eigenvalues and Eigenvectors
Solving the Metric Similarities Problem
Singular Value Decomposition
First Homework Assignment

Second Homework Assignment

Third Homework Assignment

Non-Metric Multidimensional Scaling

Assignment:

Borg and Groenen, Chapters 7, 8, 9, 10, 11, 13

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

KYST

kyst_Weisberg_DIST_DHAT.txt

KYST

colors_DIST_DHAT.txt

KYST

plot_eigenvalues.r

eigenvalues_example.txt

^th

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.

Unfolding Analysis: Non-Parametric Methods [Optimal Classification (OC)]

Assignment:

Poole, Chapter 3
Fifth Homework 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.

wnominate_in_R.r

Supplemental Movie Assignment