StatKey Online Tools for Teaching a Modern Introductory Statistics Course Robin Lock Burry Professor of Statistics St. Lawrence University

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Presentation transcript:

StatKey Online Tools for Teaching a Modern Introductory Statistics Course Robin Lock Burry Professor of Statistics St. Lawrence University Wiley Faculty Network - March 11, 2013

What is it? Freely available at Runs in (almost) any browser. Also available as a Google Chrome App. A set of web-based, interactive, dynamic statistics tools designed for teaching simulation-based methods such as bootstrap intervals and randomization tests at an introductory level. StatKey

Who Developed StatKey? The Lock 5 author team to support a new text: Statistics: Unlocking the Power of Data Robin & Patti St. Lawrence Dennis Iowa State Eric UNC/Duke Kari Harvard/Duke Wiley (2013)

WHY? Address instructor concerns about accessibility of simulation-based methods at the intro level Design an easy-to-use set of learning tools Provide a no-cost technology option for any environment OR as a supplement to existing technology Support our new textbook, while also being usable with other texts or on its own StatKey

Programming Team Rich Sharp Stanford Ed Harcourt St. Lawrence Kevin Angstadt St. Lawrence StatKey is programmed in JavaScript StatKey

Let’s try it out! StatKey

Sampling Distribution Look at many samples from the population to see how a statistic varies from sample to sample. BUT, in most real situations... WE ONLY HAVE ONE SAMPLE! BOOTSTRAP ! Key idea: To simulate a sampling distribution, we take many samples with replacement from the original sample using the same n.

Why does the bootstrap work?

Sampling Distribution Population µ BUT, in practice we don’t see the “tree” or all of the “seeds” – we only have ONE seed

Bootstrap Distribution Bootstrap “Population” What can we do with just one seed? Grow a NEW tree! µ

Golden Rule of Bootstraps The bootstrap statistics are to the original statistic as the original statistic is to the population parameter.

According to a CNN poll of n=722 likely voters in Ohio: 368 choose Obama (51%) 339 choose Romney (47%) 15 choose otherwise (2%) Find a 95% confidence interval for the proportion of Obama supporters in Ohio.

Example: Pulse Rate by Athlete? Find a 95% CI for the difference in mean pulse rate between students who are not athletes and those who are.

Beer and Mosquitoes Does consuming beer attract mosquitoes? Experiment: 25 volunteers drank a liter of beer, 18 volunteers drank a liter of water Randomly assigned! Mosquitoes were caught in traps as they approached the volunteers. 1 1 Lefvre, T., et. al., “Beer Consumption Increases Human Attractiveness to Malaria Mosquitoes, ” PLoS ONE, 2010; 5(3): e9546. Beer mean = 23.6 Water mean = H 0 : μ B =μ W H 0 : μ B >μ W

Traditional Inference 1. Which formula? 2. Calculate numbers and plug into formula 3. Which theoretical distribution? 4. Find p-value < p-value < 0.001

StatKey Give it a try! Send comments and feedback