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Please direct inquires to Roxanne May ([log in to unmask]; 304.876.7443)
Multivariate Statistical Analysis Techniques for Ecological Data
Course # FIS 4400
DATE: September 9 - 13, 2002
LOCATION: National Conservation Training Center (Shepherdstown, West Virginia)
TUITION: $850
COURSE DESCRIPTION:
This course covers a variety of descriptive and inferential multivariate statistical methods that are useful for analyzing biological data. Topics include: ! an introduction to matrix algebra, eigenvalues, and eigenvectors, multivariate normality; ! techniques for displaying relationships and position (principal components analysis, factor analysis, biplot displays, correspondence analysis, multidimensional scaling, and cluster analysis); ! techniques for group separation (MANOVA, canonical variate analysis, discriminant analysis, logistic regression); ! techniques for determining relationships between sets of variables (canonical correlation analysis and canonical correspondence analysis); and ! analysis of repeated measures. Participants will use computers to analyze ecological data using the various multivariate procedures covered by the instructor. FOR INFORMATION CONTACT: Roxanne May (304) 876-7443 Fax: (304) 876-7225 [log in to unmask] National Conservation Training Center Website "http://www.nctc.fws.gov/
An application can be obtained from the web site, course leader, or the application at the end of this message can be filled out and emailed to Roxanne May or faxed to the indicated number. You also may register on-line.
CLOSING DATE FOR APPLICATIONS: August 23, 2002 *********************************************
Course Outline:
Monday
8:30 AM
Welcome and Administrative Details
Introductory materials and mathematics
Lecture 1: Introduction and matrix algebra Overview of methods The language of multivariate analysis Lab 1: Introduction to SYSTAT
Lecture 2: Eigenvalues and eigenvectors, Multivariate normality The principal tool for summarizing multivariate information Multivariate normal distribution
Displaying relationships and position
Lecture 3: Principal components analysis Correlations and covariances Decomposition of a square symmetric matrix Linear composites How many components Plot of scores Assumptions Examples Lab 2: PCA
Tuesday
8:00 AM
Displaying relationships and position (continued)
Lab exercise discussion
Lecture 4: Factor analysis Factor analysis model Methods of estimation Rotation of factors Scores Assumptions and problems Examples Lab 3: Factor Analysis
Lecture 5: Biplot display Singular value decomposition Properties Graphical display
Lecture 6: Correspondence analysis Count data and analysis Decomposition Nonlinear relationships and the arch effect Problems and concerns Examples Lab 4: Correspondence analysis
Lecture 7: Multidimensional Scaling Distance measures Approximating distances using Euclidian distance Plotting coordinates Non-metric scaling Assumptions and their role Examples Lab 5: MDS
Wednesday
8:00 AM
Displaying relationships and position (continued)
Lab 5: MDS (continued); Summary of ordination
Lecture 8: Cluster analysis Why use it? Group structure Distance measures Hierarchical methods Other methods Three choices/assumptions Examples Lab 6: Cluster analysis
Group Separation: Testing, Display and Prediction
Lecture 9: Manova Multivariate tests Two groups ? T-square test Eigenvalues (again) Assumptions Examples Lab 7: MANOVA
Thursday
8:00 AM
Group Separation: Testing, Display and Prediction (continued)
Lab exercise discussion
Lecture 10: Canonical Variate Analysis Why use it? Scores and graphs Interpretation Assumptions Examples Lab 8: CVA
Lecture 11: Discriminant analysis Prediction of group membership Linear and quadratic models for normal data Classification tables Assumptions and alternative approaches Examples Lab 9: Discriminant analysis
Lecture 12: Logistic regression analysis Predicting probability of group membership Maximum likelihood method Tests and fit measures Prediction Comparison with discriminant analysis Assumptions Examples Lab 10: Logistic regression
Friday
8:00 AM
Group Separation: Testing, Display and Prediction (continued)
Lab exercise discussion
Relationships between sets of variables
Lecture 13: Canonical correlation analysis Relationships between sets of variables Relating linear combinations Interpretation Assumptions Examples Lab 11: CCA
Lecture 14: Canonical correspondence analysis Relating categorical variables and environmental variables Graphical displays Detrending Lab 12: CANOCO program
Lecture 15: Analysis of repeated measures What are repeated measures The univariate and multivariate views Split plot model and univariate analysis Multivariate analysis Contrasts for variables Another approach Examples
3:30 PM Course Evaluations & Course Ends
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Application: Mail or Fax to: Registrar, USFWS, NCTC Route 1, Box 166 Shepherd Grade Road Shepherdstown, WV 25443 304/876-7200 V 304/876-7202 F
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