Simulation

  • A song to stress the importance of modeling in statistical analyses. Sung by Canadian singer Gurdeep Stephens. Lyrics copyright and music performed by Michael Greenacre of Pompeu Fabra University, Barcelona, Spain. May be sung to the tune of Duke Ellington and Irving Mills' 1932 big band standard "It Don't Mean a Thing (If It Ain't Got That Swing)"
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  • A song to aid in discussions about various issues in statistical modeling. Sung by Canadian singer Gurdeep Stephens. Lyrics copyright and music performed by Michael Greenacre of Pompeu Fabra University, Barcelona, Spain. May be sung to the tune of George and Ira Gershwin's 1927 standard "The Man I Love"
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  • A song to aid in discussions about statistical models with non-normal errors. Sung by Canadian singer Gurdeep Stephens. Lyrics copyright and music performed by Michael Greenacre of Pompeu Fabra University, Barcelona, Spain. May be sung to the tune of George and Ira Gershwin's 1935 standard "It Ain't Necessarily So"
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  • A song to aid in discussions about the quality of fit of a statistical model. Sung by Canadian singer Gurdeep Stephens. Lyrics copyright and music performed by Michael Greenacre of Pompeu Fabra University, Barcelona, Spain. May be sung to the tune of George Gershwin Dubose Hayward's 1935 standard "Summertime"
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  • A webpage in which links are provided to histograms of sample statistics (mean, median, standard deviation, maximum etc.) as a function of sample size. Each time the REFRESH button is clicked a new set of 2000 samples is generated.
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  • Luck is the residue of design is a quote by American baseball executive Branch Rickey. The quote appeared in the February 21, 1946 issue of the "Sporting News". The quote is also often attributed to 17th century English poet John Milton - but that source has not been confirmed.
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  • This simulation involves a series of balls passing through bins to eventually yield a normal distribution. Information is also provided about what the normal distribution is.

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  • This java applet can be used to determine whether or not the means in two sample populations are significantly different.

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  • This applet performs the Student's t test on two sets of data, and reports the average and variance for both sets of data, the t score, degrees of freedom, and one and two tailed P values.

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  • Probability plotter and calculator allows students to explore different distributions and their relationships. Interactive dialogue box allows students to change distribution shape and scaling parameters as well as allowing to explore cumulative probabilities. Discrete distributions include the discrete uniform, binomial, and the poisson. Continuous distributions include the uniform, beta, exponential, weibull, gamma, and lognormal distributions. Sampling distributions include the normal, the t-distribution, the chi-square, and the F-distribution.
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