Chapter

Statistical inference

Andrew Gelman and Deborah Nolan

in Teaching Statistics

Published in print May 2017 | ISBN: 9780198785699
Published online September 2017 | e-ISBN: 9780191827518 | DOI: http://dx.doi.org/10.1093/oso/9780198785699.003.0009
Statistical inference

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This chapter begins with a very successful demonstration that illustrates many of the general principles of statistical inference, including estimation, bias, and the concept of the sampling distribution. Students each take a “random” sample of different size candies, weigh them, and estimate the total weight of all candies. Then various demonstrations and examples are presented that take the students on the transition from probability to hypothesis testing, confidence intervals, and more advanced concepts such as statistical power and multiple comparisons. These activities include use an inflatable globe, short-term memory test, first digits of street addresses, and simulated student IQs.

Keywords: Candy weighing; data dredging; estimation; goodness of fit; hypothesis testing; inflatable globe; sampling distribution; teaching statistics

Chapter.  8093 words.  Illustrated.

Subjects: Mathematics

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