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Statistical Methodology

This page links to tutorials or resource pages on specific statistical topics or methods.

General Guides

• GASP. The Globally Accessible Statistical Procedures initiative is designed to make statistical routines easily available via the WWW. It links to online interactive demonstrations of data analysis and research methods. Open to anyone who want to demonstrate their own methodology. Currently links to 17 modules. University of South Carolina.
• Second Moment. Provides online articles related to statistical analysis as well as an annotated collection of links to online resources. Applied Analytics, San Diego. 
• SMART. Statistics and Mathematics as Advanced Research Tools. A series of integrated modules (an `explorapaedia') for training scientists and research students in the biosciences in statistical techniques. A collaborative project coordinated by Mike Talbot, University of Edinburgh.

Specific Topics

• Balducci's Actuarial Home Page. David Scollnik, University of Calgary.
• Bartlett Corrections. Francisco Cribari-Neto, Federal University of Pernambuco.
• Bayesian Statistics
  • Bayesian Sites. A directory of Bayesian related sites. Duke University.
  • International Society for Bayesian Analysis
  • Bayesian Hierarchical Modeling. Links to the draft book by David Draper, University of Bath.
• Biometry. Reinhart Hilgers, University of Goettingen.
• Central Limit Theorem. A tutorial by Charles Annis.
• Chemometrics on the Web. Calibration, Pattern Recognition, Signal Processing, and Optimization/Experimental Design. Ron Shaffer, Naval Research Laboratory.
• Classification and Regression Trees
  • Classification and Clustering. Classification Society of North America.
  • Recursive Partioning. A variety of resources on recursive partitioning based supervised and unsupervised learning methods by Tjen-Sien Lim, University of Wisconsin, Madison.
• St@tServ Data Mining page.
• Design of Experiments. Process Builders.
• Design of Experiments Bibliography. Edwin Dean, NASA.
• Econometrics
  • EconWPA: Econometrics. Offers a free distribution service for working papers in econometrics. Department of Economics, Washington University.
• Entropy. Chris Hillman, University of Washington.
• Epidemiology. WWW Virtual Library. University of California, San Fransisco.
• False Discovery Rate. An approach to multiple testing which controls the proportion of incorrect rejections (false discoveries) amongst the rejected hypotheses. Department of Statistics and Operations Research, Tel Aviv University.
• Game Theory. Al Roth, Harvard University.
• Gaussian Processes. Carl Rasmussen, University College London.
• Generalized Linear Models. Gordon Smyth, Walter and Eliza Hall Institute of Medical Research.
• Genetic Algorithms, Practical Guide to. Ron Shaffer, Naval Research Laboratory.
• Geostatistics. Anne-Lise, Norwegian Computing Centre.
• Latent Class Analysis Pages. John Uebersax.
• Matrix Exponentials. Understanding Expokit. Roger Sidje, University of Queensland.
• Microarray Data Analysis. Microarrays are a high-throughput technology for measuring gene expression. Gordon Smyth, Walter and Eliza Hall Institute of Medical Research.
• Monte Carlo
  • History of Monte Carlo Method. Sabri Pllana, Geocities.
  • Monte Carlo Markov Chain Preprint Service. Steve Brooks, University of Bristol.
• Mixture Modelling. David Dowe, Monash University.
• Multiple Imputation..
• Multilevel Models. Centre for Multilevel Modelling.
• Multivariate Statistics
  • Multivariate Statistics. Including factor analysis, multidimensional scaling and cluster analysis. Colleen Thapalia, Cornell University. 
  • Multivariate Statistics: A Practical Guide. Originally hosted by University of Waterloo but now housed at the
    University of Salzburg, this guide provides an overview of multivariate statistics originally designed for a graduate geography course. Topics covered include Data Screening, Multiple Correlation and Regression, Principal Components Analysis and Factor Analysis, Discriminant Analysis, Cluster Analysis, and Spatial Autocorrelation. Each topic page gives a summary of the method, its strengths and weaknesses, suggestions for when it should be used and an example. A reference list and suggested reading for geographers using multivariate statistics are also available. Mike Wulder. Hosted by the Paris-Lodron-University of Salzburg.
• Neural Networks
  • Neural Networks Resource Page. Institute for Information Technology, Canada.
  • Neural Networks for Statistical Modelling. Van Nostrand Reinhold book by Murray Smith.
  • Pattern Recognition and Neural Networks. Cambridge University Press book by Brian Ripley, Oxford University.
  • Statistical Applications of Neural Networks. Article by Sangit Chatterjee and Matthew Laudato in InterStat, December 1995.
• Nonparametric Statistical Methods. Tony Rossini, University of Washington.
• Operations Research. Michael Trick, Carnegie-Mellon University.
• Prony Estimation. A method for fitting periodic and transient exponential signals to data. Gordon Smyth, Walter and Eliza Hall Institute of Medical Research.
• Pattern Recognition
  • Pattern Recognition. Bob Duin, University of Delft.
  • Statistical Learning/Pattern Recognition Glossary. Thomas Minka, Carnegie-Mellon University.
• Projection Pursuit. Guy Nason, University of Bristol.
• Power calculations. Summary of available software. Biostatistics, University of California at San Fransisco.
• Quality Control Courses. A directory of quality courses in Australia with statistical content. CSIRO Division of Mathematical and Information Sciences.
• Operations Research. Michael Trick, Carnegie-Mellon University.
• Quantitative Genetics
  • Quantitative Genetics Resources. A supplement to the book Genetics and Analysis of Quantitative Characters by Mike Lynch and Bruce Walsh. Bruce Walsh, University of Arizona.
  • The Quantitative Geneticists' view of Livestock Improvement. Article by Andrew Swan.
• Rater Agreement Data. Statistical Methods for Agreement Data by John Uebersax.
• Response Surface Methods. Edwin Dean, NASA.
• Risk Management and Insurance. The RiskWeb homepage and mailing list. As at the beginning of March 1999, this site may no longer be in operation.
• Significance Testing. Commentaries on significance testing compiled by David Parkhurst, Indiana University.
• Simultaneous Equations Models
  • Linear Simultaneous Equations. Ronald Schoenberg, University of Washington.
  • Specification and estimation. From the Handbook of Econometrics Volume 1, Chapter 7, Specification and Estimation of Simultaneous Equation Models, by Jerry A. Hausman.
  • A Simultaneous Equations Model of the U.S. Market for Canadian Atlantic Cod. Noel Roy, Memorial University of Newfoundland.
• Skew-Normal Distribution. Adelchi Azzalini, University of Padua.
• Smoothing Spline Pages. Daniel Fink, Montana State University.
• Spatial Statistics
  • AI-GEOSTATS. Spatial data analysis resources and homepage to the AI-GEOSTATS mailing list. Grégoire Dubois, Joint Research Centre, Italy.
  • Spatial Statistics Preprint Service. Vincent Granville, NISS.
• Stable Distributions. John Nolan, American University.
• Statistical Phasing. The phase problem in X-ray crystallography. Kevin Cowtan, University of York.
• Structural Equation Modelling. Joel West, University of California, Irvine.
• Survey Design.
  • The Survey: Sampling, Questionnaire, Distribution and Interviewing. This series of lecture slides provides a simple overview of the theory and methods of random sampling. Starr Hiltz, New Jersey Institute of Technology.
• Taguchi Methods. Edwin Dean, NASA.
• Time Series
  • ARIMA.
  • Time Series and Forecasting on the Web. Robert Hyndman, Monash University.
  • Time Series Tutor. University of Maryland, Baltimore.
• Wavelets
  • Wavelet Resources. A list of many preprints on wavelets and their applications. MathSoft.
  • Wavelets. Jun Yu, Umeå University, Sweden.
  • Wavelets. GeeJu Chae, Korea Advanced Institue of Science and Technology.
  • Wavelets. Guy Nason, University of Bristol.
  • Wavelet.org. Homepage for the Wavelet Digest, a monthly newsletter. Lucent Technologies.

Mathematics Topics

• CRC Concise Encylopedia of Mathematics. Eric Weisstein, University of Virginia.
• Subject Area Pages. A directory of specific topic pages in mathematics. Penn State University.
• SIAM Links: the World of Mathematics. Links to topic-specific mathematical pages. SIAM.

Numerical Analysis Topics

Overall Guides

• Computer Science Bibliographies. BibTeX bibliographies for an extensive selection of disciplines such as optimization, matrix computations etc. Alf-Christian Achilles, University of Waterloo.
• Computational Science/Parallel Processing Training and Educational Materials Archive. See for example the Numerical Integration Course. Nancy McCracken, Northeast Parallel Architectures Center, Syracuse University.
• Numerical Analysis Links. João Patrício, Universidade de Coimbra.
• Numerical Analysis Page. Florida State University.

Specific Topics

• Least squares
  • BibTeX Reference Base on Least Squares. Ake Bjork.
  • Numerical methods for least squares problems, Ake Bjorck, SIAM, 1996.
• Optimization
  • Global and Local Optimization. Arnold Neumaier, University of Vienna.
  • Mathematical Optimization. Homepage for the Department of Mathematical Optimization at the Technische Universität Braunschweig. Includes the Opt-Net homepage.
  • Newton-Raphson fractal patterns. Examples of fractal images produced by the Newton-Raphson iteration for different objective functions (real-valued polynomials). Bryan Krofchok, Georgia State University.