2009 ICPSR SUMMER PROGRAM

SCALING AND DIMENSIONAL ANALYSIS

"Minimizing Stress and rotating in n-space since 1984!"

Handouts

Click on the following links to see the handouts that are available for each topic.

• Structure in a Data Matrix
• Creative Thinking About Geometric Structure in Data

• Unidimensional Unfolding
• Preferential Choice Data
• Obtaining Different Preference Orders by Folding a Dimension at Different Ideal Points
• Midpoints Between Stimuli and Differences in Preference Orders
• Unidimensional Unfolding Example

• Unidimensional Unfolding-- Special Cases, Extensions, and Software
• Metric Unidimensional Unfolding
• Unfolding Analysis with Dichotomous Items
• Unfolding with SPSS 16.0 (or Earlier)
• Unfolding with SPSS 17.0

• Summated Rating Scales
• Summated Rating Scales, I
• Summated Rating Scales and Levels of Measurement
• Summated Rating Scales of Issue Attitudes (Analysis in Stata)

• Reliability
• Measuring Reliability
• Some Basic Principles of Path Analysis

• Singular Value Decomposition
• Singular Value Decomposition of a Data Matrix
• Singular Value Decomposition and Linear Approximations of the Original Data Matrix

• The Biplot
• Biplot of State Policy Spending
• Generating a Biplot in STATA
• Creating a Biplot in R

• Principal Components Analysis
• Principal Components Analysis in Stata
• Graphical Representation of Principal Components Analysis

• Factor Analysis I: The Basic Model
• The Common Factor Model
• Factor Analysis and Path Diagrams
• Vector Representation of the Factor Model

• Factor Analysis II: The Factor Model and Empirical Summary Statistics
• Variance of an Observed Variable Expressed in Terms of the Factor Pattern
• Correlation Between Two Observed Variables Expressed in Terms of the Factor Pattern
• The Fundamental Theorem of Factor Analysis
• Correlation Between an Observed Variable and an Unobserved Factor

• Factor Analysis III: The Economic Perceptions Example
• Correlation Matrix for Economic Perception Items
• Factor Analysis of Economic Perception Items
• Obtaining the Initial Scree Plot for a Factor Analysis

• Factor Analysis IV: Rotation and Simple Structure
• Two Different Factor Patterns Fit the Data Equally Well
• Rotation to Simple Structure
• Rotation and the Factor Pattern Matrix

• Factor Analysis V: Factor Scores, Different Estimation Strategies
• Estimating Factor Scores
• Different Estimation Strategies for the Common Factor Model

• Multidimensional Scaling I: Metric MDS
• Transforming Distances into Scalar Products
• Metric Multidimensional Scaling
• Multidimensional Scaling in Stata, I

• Multidimensional Scaling II: Using "Conceptual" Distances
• Profile Dissimilarities Among Ten American Cities
• MDS in Stata, II: Profile Dissimilarities Among Ten American Cities
• Metric MDS of City Characteristics Using R

• Multidimensional Scaling III: Nonmetric MDS
• Metric MDS of Rank-Ordered Proximities Data
• A Simple Example of Nonmetric Multidimensional Scaling
• Nonmetric MDS of 2004 Presidential Candidates
• Nonmetric Multidimensional Scaling in R

• Multidimensional Scaling IV: Strategies for Interpretation
• MDS and Cluster Analysis
• External Criteria and Multidimensional Scaling

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