This site offers an introductory course (as a MOOC) on the estimation of measurement uncertainty specifically related to chemical analysis (analytical chemistry). The course gives the main concepts and mathematical apparatus of measurement uncertainty estimation and introduces two principal approaches to measurement uncertainty estimation – the ISO GUM modeling approach (aa “bottom-up” approach) and the single-lab…

This site provides an introduction to principal component analysis, beginning with a glossary of important terms before taking the reader through the process of completing a principal component analysis. One limitation to the site is its reliance on Minitab and SPSS for calculations. Users without access to these programs can reproduce the calculations using other software…

Means, standard deviation, and deciding if two results are different at some level of statistical significance is the basis for analytical decision making. This module teaches students how to use t-tests, Q-tests, and to tell when differences are statistically real.
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This site provides a java-based demonstration of how a least-squares analysis works. The applet opens with a set of data points with a superimposed line. By clicking and dragging, the user can move the data points and change the slope and/or the y-intercept of the line. The residual error for each data point is shown as…

This site provides a comprehensive electronic handbook on statistics for scientists and engineers. Topics include graphical approaches for exploratory data analysis, the characterization of measurement processes, the construction of statistical models for predicting and/or optimizing process, experimental design, process control monitoring, significance testing and the evaluation of product reliability. Although the site may be too detailed…

This site contains methods and exact solutions for a multitude of mathematical equations, including algebraic, differential, partial differential, integral, and functional equations.
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This site is devoted to statistical tests and demonstrations of their use and was created with the support of the National Science Foundation. One section is a complete reference guide - the online statistics textbook, with detailed descriptions of all things statistical. The second, and most fun section, is simulations/demonstrations section where nearly twenty statistical tests…

This site provides a brief reference on statistics that both analytical faculty and students will find useful. The site includes a series of problem sets and supporting MathCAD spreadsheets. Materials available on the website can be downloaded as a pdf file.
The website is available here .

This site provides a clear introduction to the principle component analysis (PCA) without overwhelming the student. The tutorial includes a brief introduction and an explanation of the mathematics of PCA.
The website is available here .

This site contains a JavaScript "Uncertainty calculator," which determines the uncertainty of a calculated result given the uncertainties for the measurements. The website includes background material on calculating uncertainties and instructions for using the calculator. The software also is available as a free download.
The website is available here .