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Estimation Principles

  • This is a youtube video by Jeremy Balka that was published in May 2013. The video presents a discussion of the assumptions when using the t distribution in constructing a confidence interval for the population mean. By considering various population distributions, the effect of different violations of the normality assumption is investigated through simulation.
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  • This is an e-book tutorial for R. It is organized according to the topics usually taught in an Introductory Statistics course. Topics include: Qualitative Data; Quantitative Data; Numerical Measures; Probability Distributions; Interval Estimation; Hypothesis Testing; Type II Error; Inference about Two Populations; Goodness of Fit; Analysis of Variance; Non-parametric methods; Linear Regression; and Logistic Regression.
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  • What is correct, what is incorrect, and why?
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  • A poem consisting of two quasi Haikus that can used in discussing the Cramer-Rao lower bound on the variance of a normally distributed statistic. The poem was written by Ming-Lun Ho of Chabot College and was given a third place award in the 2015 A-mu-sing contest.
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  • A song to be used in discussions about Confidence Intervals. The lyrics were written by Alan Reifman from Texas Tech University and may be sung to the tune of Cat Stevens 1971 hit "Moon Shadow." Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
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  • "Scaffolding" is a poem by Scottish poet Eveline Pye from Glasgow Caledonin University. The poem was originally published in the September 2011 issue of the bimonthly magazine Significance, in an article about Eveline Pye's statistical poetry. "Scaffolding" might be used in course discussions of the importance of checking assumptions in the application of statistical methods or of the value of statistical sleuthing in discovering hidden relationships.
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  • A song for teaching concepts of estimating a population mean and addressing uncertainty in the estimate. The lyrics were written by Lawrence Mark Lesser from University of Texas at El Paso as a parody of the 2011 song "Call Me Maybe" written by Carly Rae Jepsen, Tavish Crowe, and Josh Ramsay). The lyrics were awarded second prize in the 2013 CAUSE A-Mu-sing competition. Free for non-profit educational use. Musical accompaniment realization are by Joshua Lintz and vocals are by Mariana Sandoval from University of Texas at El Paso.

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  • A song for teaching about the Cramer Rao Lower Bound for the variance of an unbiased estimate. The lyrics were written by Kyle White and Bradley Turnbull from North Carolina State University as a parody of the 2003 track "Jerk It Out" by the Swedish band "Caesars". The song won first prize in the song category in the 2013 CAUSE A-Mu-sing competition and is performed by "The Fifth Moment", an NCSU graduate student band (Kristin Linn, Jason Osborne, Siddharth Roy, Bradley Turnbull, Joseph Usset, and Kyle White). Free for use in non-profit education settings.

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  • A poem for teaching about the Cramer-Rao lower bound on variance of estimators. The poem was written by Ming-Lun Ho, Chabot College. It won third place in the non-song category of the 2015 A-Mu-Sing competition.
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  • Indeed, the laws of chance are just as necessary as the causal laws themselves. is a quote of quantum physicist David J. Bohm (1917- 1992). The quote appears on page 23 of his 1957 book "Causality and Chance in Modern Physics". The quote also appears in "Statistically Speaking: A dictionary of quotations" compiled by Carl Gaither and Alma Cavazos-Gaither.
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