Error Analysis

• Philip R. Bevington and D. Keith Robinson, Data Reduction and Error Analysis for the Physical Sciences , McGraw-Hill, 2003.
• John R. Taylor, An Introduction to Error Analysis (2nd ed), University Science Books, 1997.

Fourier Analysis

• efg's Fourier Analysis and Image Processing

Kernal Methods

• Tutorials on Kernel Methods

Mathematical Functions

• Handbook of Mathematical Functions online version by Abramowitz and Stegun
  Also see this page.
• DiMarco and Bombi, Mathematical functions for the representation of chromatographic peaks, Journal of Chromatography A , 931(2001), 1-30.

• Multiple Testing. Part I. Single-Step Procedures for Control of General Type I Error Rates
• Multiple Testing. Part II. Step-Down Procedures for Control of the Family-Wise Error Rate
• Multiple Testing. Part III. Procedures for Control of the Generalized  Family-Wise Error Rate and Proportion of False Positives

Nonlinear Curve Fitting

• Statistical Modeling: The Two Cultures

• GraphPad Prism:  Fitting Models to Biological Data Using Linear and Nonlinear Regression
• efg's Nonlinear Curve Fitting Overview
• Curve Fitting Made Easy, The Industrial Physicist
• Wikipedia Levenberg-Marquardt algorithm
• Wolfram Levenberg-Marquardt Method
• Nonlinear Models, Section 15.5, Numerical Recipes in C
• Estimating the Error on a Datapoint

• How good is the fit?
• Comparing the fit of two models

• NIST reference datasets with certified computational results:  Nonlinear Regression
• IDL Curve Fitting and Function Optimization
• MatLab Curve Fitting Toolbox

• Pia Veldt Larsen's Residual analysis
• Qi-Man Shao's Residual analysis
• Studentized residual
• "Analysis of Residuals: Criteria for Determining Goodness-of-Fit," Straume and Johnson, Methods in Enzymology , Vol. 210, 87-105, 1992.

• Heming Lake Pike Problem
• Automating pKa Curve Fitting Using Origin

Numerical Methods

• Numerical Recipes in C Online PDF [LANL link]

Probability and Statistics

• Statistical primer on few very selected topics that most (some, few, no noe) of us are concerned about...
• Statistics in Genetics, Berkeley Stat 246 notes:  2002  2004  2006
• StatPages.net:  Web Pages that Perform Statistical Calculations
• NIST Engineering Statistics Handbook
• NIST reference datasets with certified computational results
• Journal of Statistical Software
• Statistics and Data Mining Research [Bell Labs]
• NIST Statistical Reference Datasets
• R.  See Analysis Packages.