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The Bootstrap

The Bootstrap. Michael Sullivan Joliet Junior College msulliva@jjc.edu sullystats@gmail.com. “The Introductory Statistics Course: A Ptolemaic Curriculum?” by George W. Cobb Technology Innovations in Statistics Education Volume 1, Issue 1 2007 http://escholarship.org/uc/item/6hb3k0nz.

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The Bootstrap

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  1. The Bootstrap • Michael Sullivan • Joliet Junior College • msulliva@jjc.edu • sullystats@gmail.com

  2. “The Introductory Statistics Course: A Ptolemaic Curriculum?” by George W. Cobb Technology Innovations in Statistics Education Volume 1, Issue 1 2007 http://escholarship.org/uc/item/6hb3k0nz

  3. Those who know that the consensus of many centuries has sanctioned the conception that the earth remains at rest in the middle of the heavens as its center, would, I reflected, regard it as an insane pronouncement if I made the opposite assertion that the earth moves.

  4. Let’s use StatCrunch to simulate the building of this normal model. Assume we are sampling from a population with mean 100 and standard deviation 15. Let’s take simple random samples of size n = 9.

  5. Problem: How can we estimate the “margin of error” when we only have sample data? Enter Bradley Efron (in 1979). He suggests sampling with replacement from the sample data many, many times to find a proxy for the sampling distribution of the sample statistic.

  6. Bootstrap Verb: "to bootstrap is to help (oneself) without the aid of others” Adjective: "relying entirely on one's efforts and resources".

  7. Using the Bootstrap Method to Construct a Confidence Interval The following data represent the price per square foot of a random sample of recently sold condominiums in Miami Beach, FL. Source: www.zillow.com Construct a 95% confidence interval for the mean price per square foot of a condominium in Miami Beach, FL using a bootstrap sample.

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