Probability

  • This applet allows users to draw a curve on a graph, and then displays the polynomial fit of the curve.
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  • This collection of datasets from Princeton University each come with detailed descriptions of the data's history, how it was collected, and the data quality. Scroll down to "OPR Data Catalog Search" and either type your search terms into the search box or click "complete listings" to browse the archive. Data is available in text format.
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  • This is the homepage for the Reserve Bank of Australia. Browse data by Alphabetical Index of Statistics, Statistics by Frequency of Publication, or Bulletin Statistical Tables.
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  • Song includes vocabulary from fitting models, including outliers and assumptions. May be sung to tune of "You've Got Your Models" (The Fortunes). Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
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  • Song playfully celebrates Bayesian inference and includes various vocabulary such as coherence, prior, and exchangeable. May be sung to the tune of "Strangers in the Night" (Kaenpfert/Singleton/Snyder). Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
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  • Song celebrates Bayesian inference, includes verbal form of Bayes theorem. The lyrics were written by David Blackwell, University of California at Berkeley. May be sung to the tune of "Who (Stole My Heart Away)?" (Jerome Kern).  The audio was produced by Nicolas Acedo with vocals by Abeni Merriweather, both students in the Commercial Music Program at The University of Texas at El Paso.

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  • This test checks whether an observed distribution differs from an expected distribution. It computes the chi-square statistic, degrees of freedom (DoF), and p-value. Users input a table with row and column labels, observed frequencies on the first row, and expected frequencies on the second row. The null hypothesis is that the observed values have the expected frequency distribution.

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  • This calculator computes the chi-square statistic, degrees of freedom (DoF), and p-value for the Chi-square test for equality of distributions. Users input a table of values with row and column labels without total scores. The null hypothesis is that the all the samples have the same distribution.

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  • This pdf document contains 7 pages of random number tables and 1 page of instructions for use.
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  • This online textbook covers the following probability and statistics topics: Independence; Venn Diagrams; Bayes's Theorem; Counting; Binomial Expansion; Binomial Distribution; Continuous Distributions; Infinitesimals in Probability; Averaging; Variance; Gaussian Distribution; Random Walks; Correlation; Causation; Linear Regression; Unbiased Estimators; Hypothesis Testing; Shape of the Distribution; Variance of Mean Differences.
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