Significance Testing Principles

  • This applet demonstrates the concept of power. Users select the hypothesized mean, the alternative mean, the sample size, and the number of samples. The applet shows the hypothesized histogram and the alternative histogram. Users then select either the level of significance and set alpha or the rejection region and set the test statistic. The applet then shows the p-value (in red) and power (in green). User can also determine the direction of the test by clicking the inequality sign.

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  • This dataset comes from a study on dogs 4 doses of a drug. Data on the alkaline phosphatase levels in their blood was collected throughout the experiment. Questions from this study refer to the relationship between dosage of the drug and alkaline blood levels. A text file version of the data is found in the relation link.
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  • This dataset comes from a study of 7 healthy males given a topical medication. Blood samples were collected at specified time intervals, and data on isomer concentrations were collected. Questions from this study refer to the relationship between time and concentration of the isomer. A text file version of the data is found in the relation link.
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  • This dataset comes from a study of 8 healthy males randomly assigned to a two-period crossover design, in which they either fasted and then ate, or ate and then fasted. They were given one dose of a drug, blood samples were collected and data on plasma levels were collected. Questions from this study refer to the absorption of the drug. A text file version of the data is found in the relation link.
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  • This resource discusses sample sizes and how they are chosen.
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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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  • 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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  • 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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  • This page calculates either estimates of sample size or power for differences in proportions. The program allows for unequal sample size allocation between the two groups.

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  • This recording of a web seminar (webinar) provides a tour of StatCrunch. StatCrunch (www.statcrunch.com) is a Web-based data analysis package. StatCrunch has all of the routines required for introductory statistics and many more. The software also offers pedagogical features such as interactive graphics. Many of these capabilities are discussed and demonstrated by StatCrunch developer Webster West.

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