Statistical Inference & Techniques

  • 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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  • The two worksheets enable instructors to demonstrate how changes in the magnitude of the treatment effects and of the standard deviation of the error term will impact significance in a One-Way ANOVA model. The user specifies three input values that influence the simulation of random observations. ANOVA calculations are provided for the student, leaving the focus on the interpretation of the results. The mirror site (found at http://misnt.indstate.edu/cmclaren/ANOVA_Note.doc) contains an article that can serve as a teaching note to accompany the worksheets.
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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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  • Descriptions, examples, and online calculators for a variety of statistical concepts. Includes One-Way Anova, Tukey's Post Hoc Test, and much, much more.
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  • As mentioned on the home page of this resource "This site presents workbook-style, project-based material that emphasizes real world applications and conceptual understanding. This material is designed to give students a sense of the importance and allure of statistics early in their college career. By incorporating many of the successful reforms of the introductory statistics course into a wide range of more advanced topics we hope that students in any discipline can realize the intellectual content and broad applicability of statistics."

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  • I'd Like to Teach the World to Think is a parody of the 1971 hit single "I'd Like to Teach the World to Sing (in perfect harmony)" by the New Seekers. The music for the song was also made famous in a series of Coca-Cola advertisements that have run for decades. The parody may be used in teaching the value of collecting data, especially to improve reliability and the need to assume the null hypothesis is true in carrying out a significance test. Lyrics by Dennis Pearl (The Ohio State University) with assistance from Lawrence Mark Lesser (University of Texas at El Paso). Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
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  • Amidst the strange vicissitudes of life, 'tis likely, most unlikely things should happen is a quote by Greek poet Agathon (448-400 BC). The quote is mentioned in Aristotle's (384 - 322 BC) book "Rhetoric". This version of the quote is found on page 357 of the 1823 "A New Translation of Aristotle's Rhetoric" by John Gillies.
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