# MATH200/ME50, Statistics

Spring 2015, T 6:30–9:20, room 121C (Stan Brown)

Spring 2015, T 6:30–9:20, room 121C (Stan Brown)

Welcome! Please bookmark this page and check back at least once a week, whenever you miss a class, or when new material is announced in class.

All news through
**12 May**
Latest email to the class:
**14 May**

The links below are marked with helpful icons. A full explanation of the icons is available, and most browsers will also show a “tool tip” if you just hover your mouse over the icon.

Most of these “handouts” won’t actually be handed out. You can read them on the Web and decide whether you want a printed copy. If you see some old revision dates, don’t worry: some of them don’t need to change much from one semester to the next.

- UCLA Statistics Case Studies — real-life applications you can work yourself (accessed 2014-12-28)
- On-line statistics courses:
- e-Handbook of Statistical Methods (accessed 2014-12-28) at NIST, aimed at science and engineering
- HyperStat Online Statistics Textbook (accessed 2014-12-28) by David Lane of Rice U (with cartoons!)
- Little Handbook of Statistical Practice (accessed 2014-12-28) by Gerald Dallal of Tufts U, with examples from nutrition and medicine

- 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. - 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 2014-12-28). Don’t miss the segment “200 Countries, 200 Years, 4 Minutes”, also available separately (accessed 2014-12-28).
- 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 2014-12-28).
- 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

- Homework and Solutions
- Box-Whisker Plots on TI-83/84 (if you don’t have the MATH200A program)
- If you have a TI-89, see Box-Whisker Plots on TI-89.
- Excel fans, see Normality Check and Finding Outliers in Excel.

- Homework and Solutions
- If you have a TI-89, see Scatterplot, Correlation, and Regression on TI-89 and Finding ŷ from a Regression on TI-89.

- 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
- Application of false positives: Probability and the war on terror, by Sam Savage and Howard Wainer. A downloadable False Positives Calculator is included.
- A fascinating application of probability is Benford’s Law at Mathworld. One application is detecting cheating: Following Benford’s Law, or Looking Out for No. 1.

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

- Homework and Solutions
- Normality Check on TI-83/84 (if you don’t have the MATH200A program)
- If you have a TI-89, see Normality Check on TI-89.
- Excel fans, see Normality Check and Finding Outliers in Excel.

- What is a normal distribution? by Steve Simon gives an overview with diagrams. Near the bottom of the page there’s a downloadable spreadsheet that draws normal distributions.

- Homework and Solutions
- 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.

- Homework and Solutions
- Inferential Statistics: Basic Cases
- Triage: Which Inferential Stats Case Should I Use?

- 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.

- Homework and Solutions
- Inferential Statistics: Basic Cases
- Triage: Which Inferential Stats Case Should I Use?
- Top 10 Mistakes of Hypothesis Tests
- M&Ms Lab: Inferences for One Population

- Homework and Solutions
- Paired and Unpaired Data Compared
- Inferential Statistics: Basic Cases
- Triage: Which Inferential Stats Case Should I Use?
- Top 10 Mistakes of Hypothesis Tests

- Homework and Solutions
- If you have a TI-89, see Testing Goodness of Fit on TI-89.
- Inferential Statistics: Basic Cases
- Triage: Which Inferential Stats Case Should I Use?
- Top 10 Mistakes of Hypothesis Tests

- Confidence Intervals for Goodness of Fit, with Excel workbooks
- 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

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

**Homework Schedule**- Your To-Do List
- Course Outline Take-Home Quiz
- Chapter 1 Homework
- Chapter 2 Homework
- Chapter 3 Homework
- Sleep Lab
- (graph paper)
- Chapter 4 Homework
- Shoe-Size Lab
- Chapter 5 Homework
- Probability Lab
- Chapter 6 Homework
- Chapter 7 Homework
- Chapter 8 Homework
- Chapter 9 Homework
- Chapter 10 Homework
- ESP Lab
- Chapter 11 Homework
- Field Project
- Chapter 12 Homework
- Solutions to All Exercises

- Course Outline
- Grade Calculator (Excel)
- Grade Calculator (paper)
- FAQ: End of the Course
- Can I Use a TI-89?
- Raise of Grade Form
- Course Debriefing
- Baker Center hours
- MyInfo / IQ Web

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Updates and new info: http://BrownMath.com/stat15a/