Significance Testing Principles

  • This page provides a t-table with degrees of freedom 1-30, 60, 120, and infinity and seven levels of alpha from .1 to .0005.

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  • This page provides a z-table with alpha levels from .00 to .09.

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  • In this module you will have the opportunity to explore the frequency of different types of residential moves carried out by Americans. You will examine some of the basic determinants of residential mobility by looking at variations in different types of mobility by age, marital status, education, and housing tenure. Finally, you will have an opportunity to test hypotheses, drawn from a popular theoretical perspective, about racial differences in residential mobility.
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  • This textbook from VassarStats introduces various statistical topics and contains interactive components. Topics include: Measurement Principles; Distributions; Correlation; Regression; Partial Correlation; Rank-Order Correlation; Statistical Significance; Sampling Distributions; Hypothsis Tests; Probability; Chi-Square; Fisher's Exact Test; t-Distribution; t-test; Mann-Whitney Test; Wilcoxon Signed-Rank Test; Analysis of Variance; F-Distribution; Kruskal-Wallis Test; Friedman Test; Analysis of Covariance. Several calculators and generators include: Binomial Probability; Normal Probability; Binomial Sampling Distribution; Chi-Square Sampling Distribution.

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  • 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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