- Cover Page
- Title Page
- Copyright Page
- Contents
- Learn About JMP
- Launch the Fit Model Platform
- Example of the Fit Model Platform
- Specify Different Model Types
- Construct Model Effects
- Fitting Personalities
- Emphasis Options for Standard Least Squares
- Model Specification Options
- Validity Checks
- Fitting Standard Least Squares Models
- Example Using Standard Least Squares
- The Standard Least Squares Report and Options
- Regression Reports
- Estimates
- Effect Screening
- Factor Profiling
- Row Diagnostics
- Save Columns
- Effect Options
- Restricted Maximum Likelihood (REML) Method
- Method of Moments Results
- Singularity Details
- Examples with Statistical Details
- Fitting Stepwise Regression Models
- Overview of Stepwise Regression
- Example Using Stepwise Regression
- The Stepwise Report
- Models with Crossed, Interaction, or Polynomial Terms
- Models with Nominal and Ordinal Terms
- Using the Make Model Command for Hierarchical Terms
- Performing Logistic Stepwise Regression
- The All Possible Models Option
- The Model Averaging Option
- Using Validation
- Fitting Multiple Response Models
- Fitting Generalized Linear Models
- Performing Logistic Regression on Nominal and Ordinal Responses
- Analyzing Screening Designs
- Performing Nonlinear Regression
- Creating Neural Networks
- Modeling Relationships With Gaussian Processes
- Fitting Dispersion Effects with the Loglinear Variance Model
- Recursively Partitioning Data
- Performing Time Series Analysis
- Performing Categorical Response Analysis
- Performing Choice Modeling
- Introduction to Choice Modeling
- Product Design Engineering
- Data for the Choice Platform
- Example: Pizza Choice
- Launch the Choice Platform and Select Data Sets
- Platform Options
- Example: Valuing Trade-offs
- One-Table Analysis
- Segmentation
- Special Data Rules
- Transforming Data
- Logistic Regression for Matched Case-Control Studies
- Correlations and Multivariate Techniques
- Clustering Data
- Analyzing Principal Components and Reducing Dimensionality
- Performing Discriminant Analysis
- Fitting Partial Least Squares Models
- Scoring Tests Using Item Response Theory
- Plotting Surfaces
- Visualizing, Optimizing, and Simulating Response Surfaces
- Comparing Model Performance
- References
- The Response Models
- The Factor Models
- The Usual Assumptions
- Key Statistical Concepts
- Leverage Plot Details
- Multivariate Details
- Power Calculations
- Inverse Prediction with Confidence Limits
- Details of Random Effects
- Index
Chapter 5
Fitting Multiple Response Models
Using the Fit Model Platform
Multivariate models fit several responses (Y variables) to a set of effects. The functions across the Y variables can be tested with appropriate response designs.
In addition to creating standard MANOVA (Multivariate Analysis of Variance) models, you can use the following techniques:
• Repeated measures analysis when repeated measurements are taken on each subject and you want to analyze effects both between subjects and within subjects across the measurements. This multivariate approach is especially important when the correlation structure across the measurements is arbitrary.
• Canonical correlation to find the linear combination of the X and Y variables that has the highest correlation.
• Discriminant analysis to find distance formulas between points and the multivariate means of various groups so that points can be classified into the groups that they are most likely to be in. A more complete implementation of discriminant analysis is in the Discriminant platform.
Multivariate fitting has a different flavor from univariate fitting. The multivariate fit begins with a rudimentary preliminary analysis that shows parameter estimates and least squares means. You can then specify a response design across the Y variables and multivariate tests are performed.
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