Curriculum

  • 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 page provides links to distribution calculators, conceptual demonstration applets, statistical tables, online data analysis packages, function and image-processing tools, and other online computing resources. Key Words: Binomial; Normal; Exponential; Chi-Square; Geometric; Hypergeometric; Negative Binomial; Poisson; Student's T; F-Distribution; Wilcoxon Rank-Sum; Central Limit Theorem; Regression; Normal Approximation to Poisson; Confidence Intervals; Hypothesis Tests; Power; Sample-Size; ANOVA; Galton's Board; Function Plots; Edge Detection; Image Warping & Stretching; Polynomial Model Fitting; Wilcoxon-Mann-Whitney Statistic.
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  • This page contains links to 5 review sheets with formulas, properties, definitions and rules for basic descriptive and inferential statistics and probability concepts. The review pages are in pdf format. Key Words: Hypothesis Testing, ANOVA, Descriptive Statistics, Regression, Correlation, Nonparametric Tests, Probability Distributions, Counting, Central Limit Theorem.
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  • This dataset comes from a study on 200 rats (100 of each gender) which were given one of 5 treatments, and then allowed to mate. At delivery, information on the pups was collected, and a sample of 8 pups (4 of each gender) was chosen from each litter. Body weights for these pups were recorded once a week for three weeks. Questions this study focused on refer to the safety of the treatments. A text file version of the data is found in the relation link.
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  • This dataset comes from a study on two treatment sequences (AB, BA) given to 14 healthy male volunteers randomly assigned to a two-period crossover design. Three pharmacokinetic variables were collected on the subjects at the end of each treatment period. Questions this study focused on refer to whether the treatments (A,B)are equivalent. A text file version of the data is found in the relation link.
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  • This dataset comes from a study on drug treatments of reflux disease patients. Twelve patients were assigned to a four period crossover design, and data on their disease symptoms were collected after treatment. Questions this study focused on refer to dosage of the drug. A text file version of the data is found in the relation link.
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  • This dataset comes from a study on pregnant rats. Forty rats were given 4 doses of a drug, and data on their fetuses were collected. Questions this study focused on refer to the relationship between dosage of the drug and gender of the fetus. A text file version of the data is found in the relation link.
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  • This module discusses the history and importance of the normal distribution, as well as normal moments, the standard normal distribution, normal probabilities, Z-Scores, and normal quantiles. The applet allows users to compute normal probabilities and quantiles. Three follow-up examples cover cholesterol, male heights, and mean temperatures for various cities in South Carolina.
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  • This dataset comes from a study on rats swimming in a T-shaped maze. Rats were given 4 doses of a drug, and their resulting pups swam the maze until they successfully escaped it 3 consecutive times. Questions from this study refer to the dosage of the drug, the number of swims until 3 consecutive successful escapes, and gender differences. A text file version of the data is found in the relation link.
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