Statistical Inference & Techniques

  • This textbook for medical statistics covers many topics such as: Data display and summary; Mean and standard deviation; Populations and samples; Statements of probability and confidence intervals; Differences between means: type I and type II errors and power; Differences between percentages and paired alternatives; The t tests; The chi-squared tests; Exact probabilty test; Rank score tests; Correlation and regression; Survival analysis; Study design and choosing a statistical test.
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  • This applet allows students to explore three methods for measuring "goodness of fit" of a linear model. Users can manipulate both the data and the regression line to see changes in the square error, the absolute error, and the shortest distance from the data point to the regression line.
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  • This page calculates probabilities for a Poisson distribution.

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  • This lesson poses a series of questions designed to challenge students' possible misconceptions of statistical inference and hypothesis testing. The lesson uses the statistical software, Fathom, and three datasets with information on the number of chips per canister distributed by a snack maker. The data can found at the relation address below.
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  • This page provides a table for selecting an appropriate statistical method based on type of data and what information is desired from the data. It also compares parametric and nonparametric tests, one-sided and two-sided p-values, paired and unpaired tests, Fisher's test and the Chi-square test, and regression and correlation. It comes from Chapter 37 of the textbook, "Intuitive Biostatistics".
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  • This module discusses the probability of an event and relative frequency. The applet shows how empirical probability converges to theoretical probability as the sample size increases. The follow-up example includes an applet that simulates drawing differently colored balls from an urn.
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  • Data! Data! Data! he cried impatiently. "I can't make bricks without clay." Stated by Sherlock Holmes in "The Adventure of the Copper Beeches" by scottish author Sir Arthur Conan Doyle (1859 - 1930)
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  • ... statistics - whatever their mathematical sophistication and elegance - cannot make bad variables into good ones. Quoted from "Analysis of Nominal Data" by H.T. Reynolds (Sage, 1984) p. 8
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  • The plural of anecdote is not data. Attributed to American economist Roger E. Brinner in the on-line list of quotes at www.keypress.com/fathom/fathom1/quotes.html
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  • The great tragedy of Science - the slaying of a beautiful hypothesis by an ugly fact. A quote of English biologist Thomas H. Huxley (1825 - 1895) from his Presidential address in 1870 to the British Association for the Advancement of Science. Published in "Biogenesis and Abiogenesis," vol. 8, Collected Essays (1894).
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