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Fall 2014

section ME50
Summer 2014

section ME58
Spring 2014

section ME50

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- UCLA Statistics Case Studies — real-life applications you can work yourself (accessed 2012-03-25)
- On-line statistics courses:
- Little Handbook of Statistical Practice (accessed 2012-03-25) by Gerald Dallal of Tufts U, with examples from nutrition and medicine
- HyperStat Online Statistics Textbook (accessed 2012-03-25) by David Lane of Rice U (with cartoons!)
- e-Handbook of Statistical Methods (accessed 2012-03-25) at NIST, aimed at science and engineering

- Excel may not be the best choice for statistical computations, especially Excel 2007 and below:
- Problems with Excel by Julian Wells (includes several useful links)
- On the Accuracy of Statistical Procedures in Microsoft Excel 2007 by David Heiser
- The Accuracy of Statistical Distributions in Microsoft Excel 2007 by A. Talha Yalta

Excel 2010 has some new statistics functions that may address the problem. I haven’t seen any definitive papers yet.

- Viewer’s Guide to Against All Odds Part 1, “What Is Statistics?” (for some sections)

- Excel and your calculator generate pseudo-random numbers,
but Random.org
has lots of
**true random number generators**, including numbers, coin flips, and dice rolls. -
Read about the Literary Digest polling fiasco for the 1936
presidential election at
Classic Polling Surprises (accessed 2012-03-25) and
Introduction to Polling (accessed 2012-03-25).
The original Literary Digest article can be found at Landon in a Landslide: The Poll that Changed Polling (accessed 2012-03-25).

- If observational studies can’t show that A causes B, how do we know that smoking causes lung cancer? See Causation by Steve Simon.
- Alternating Treatments by Steve Simon gives lots of examples why you need to randomize your samples.
- What’s wrong with surveys where respondents select themselves? See Web Polls by Steve Simon.

- The Joy of Stats video: Hans Rosling shows lots of great ways to present data (accessed 2012-03-25). Don’t miss the segment “200 Countries, 200 Years, 4 Minutes”, also available separately (accessed 2012-03-25).
- just for fun: self-referential graphs
- The Best Stats You’ve Ever Seen video: Hans Rosling uses descriptive stats to explode the myth of First World and Third World (accessed 2012-03-25).
- MATH200A Program part 1 can be used to make histograms.
- ticalc.org has five programs to make pie charts. Though I haven't evaluated them in depth, PIEGRAPH.ZIP looks most interesting based on the screen shots.
- STEMLEAF.ZIP (1 KB) is a TI-83/84 program that makes stemplots

- If you have a TI-89, see Scatter Plot, Correlation, and Regression on TI-89 and Finding ŷ from a Regression on TI-89/92.

- How do we know there’s one best line? How does the calculator know what it is? See Least Squares — the Gory Details.
- If correlation is not Causation, how do we know that smoking causes cancer? Steve Simon tells you.
- Under Chapter 12 are several more inferences you can make about correlation and regression.

- extended examples of probability: Probability of Shared Birthdays, We the Jury ..., and Medical False Positives and False Negatives
- False positives and the war on terror, by Sam Savage and Howard Wainer: False Positives Calculator and explanation (PDF) (accessed 2012-03-25)
- For more about the first-digit phenomenon, see Benford’s Law at Mathworld (accessed 2012-03-25). One way it’s used to detect cheating is at Following Benford’s Law, or Looking Out for No. 1 (accessed 2012-03-25).

- If you have a TI-89, see Binomial Probability Distribution on TI-89.

- Is Human Height Bimodal? (PDF) (accessed 2012-03-25) gives μ and σ for heights of US men and women from the US NHANES study.
- What is a normal distribution? by Steve Simon gives an overview with diagrams.

- Sample Variability Lab (Roulette) (some classes)
- Viewer’s Guide to Against All Odds Part 18, “The Sample Mean and Control Charts” (some classes)

- The Behavior of the Sample Mean by Gerald Dallal — pictures show how sample means are distributed and why that distribution is different from the shape of the population.

- Triage: Which Inferential Stats Case Should I Use? — interactive
- Inferential Statistics: Basic Cases

- For more about finding necesary sample size, see How Big a Sample Do I Need?
- We don’t do it in this class, but if you want to know how to compute confidence intervals about σ, the population standard deviation, see MATH200B Program part 5 or Inferences about One Population Standard Deviation.
- Confidence Interval with Zero Events by Steve Simon gives the “rule of three” for calculating a confidence interval when you have too few successes and failures.

- M&Ms Lab: Inferences for One Population (some sections)
- Triage: Which Inferential Stats Case Should I Use? — interactive
- Inferential Statistics: Basic Cases

- Triage: Which Inferential Stats Case Should I Use? — interactive
- Inferential Statistics: Basic Cases

- Number Needed to Treat by Steve Simon— statistical significance and practical significance, with examples from medical studies

- Triage: Which Inferential Stats Case Should I Use? — interactive
- Inferential Statistics: Basic Cases
- If you have a TI-89, see Testing Goodness of Fit on TI-89.

- Study of the Therapeutic Effects of Intercessory Prayer

This abstract (accessed 2012-03-25) gives the sample sizes and incidence of complications, but does not show the incidence of mortality other than to say it was “similar across the 3 groups.” The full report in PDF is here (accessed 2013-09-09). - Confidence Intervals for Goodness of Fit, with Excel workbooks

These are not part of the course syllabus, but are included for those who would like to learn more.

- Inferential Statistics Cases contains additional cases beyond the ones required for class.
- Inferences about Linear Correlation, with Excel workbook
- Inferences about Linear Regression, with Excel workbook
- Inferences about One Population Standard Deviation, with Excel workbook; there’s also a TI-83/84 procedure at MATH200B Program part 5
- All three of the above, and more, are included in MATH200B Program — Extra Statistics Utilities for TI-83/84 with a downloadable TI-83/84 program.
- One-Way ANOVA

- How to Succeed in Math includes Why is Math so Hard? | How to Study Math | How to Take a Math Test | How to Read a Math Book | How to Work a Math Problem
- Math Students’ FAQ

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