BrownMath.com → Statistics

# Statistics

Free textbook The Joy of Stats video: Hans Rosling shows lots of great ways to present data. Don’t miss the segment “200 Countries, 200 Years, 4 Minutes”, also available separately. Just for fun: Self Description — 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. MATH200A Program — Basic Statistics Utilities for TI-83/84 can be used to make histograms and box-whisker plots. MATH200B Program — Extra Statistics Utilities for TI-83/84  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. Box-Whisker Plots on TI-83/84 and Box-Whisker Plots on TI-89 Normality Check and Finding Outliers in Excel doesn’t make the box-whisker plot, but finds outliers numerically. Measures of Shape: Skewness and Kurtosis Scatterplot, Correlation, and Regression on TI-89 and How to Find ŷ from a Regression on TI-89 Alternative for the TI-83/84: Scatterplot, Correlation, and Regression on TI-83/84 (advanced) How do we know there’s one best line? How does the calculator know what it is? See Least Squares — the Gory Details. (advanced) Inferences about Linear Correlation Alternative for the TI-83/84: MATH200B part 6 Correlation Coefficients of Random Numbers explains how you can generate a set of (x,(y) pairs that are correlated with a desired r. If two random variables are each correlated to a third, how are they correlated to each other? Dr. Math’s Two Random Variables, Each Correlated to a Third answers that. (advanced) Inferences about Linear Regression Alternative for the TI-83/84: MATH200B part 7 Extended examples of probability: Medical False Positives and False Negatives Probability of Shared Birthdays We the Jury … Application of false positives: Probability and the war on terror, by Sam Savage and Howard Wainer. A downloadable False Positives Calculator is included. (advanced) A fascinating application of probability is Benford’s Law at Mathworld. MATH200A Program — Basic Statistics Utilities for TI-83/84 can be used to make probability histograms and compute probabilities for the binomial distribution. Binomial Probability Distribution on TI-89 Normal Calculations on TI-83/84 or TI-89 Normality Check on TI-83/84, if you don’t have the MATH200A program Normality Check on TI-89 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. Sample Variability Lab (Roulette) video: Viewer’s Guide to Against All Odds Part 18, “The Sample Mean and Control Charts” 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. Inferential Statistics Cases Triage: Which Inferential Stats Case Should I Use? For more about finding necesary sample size, see How Big a Sample Do I Need? M&Ms Lab: Inferences for One Population Top 10 Mistakes of Hypothesis Tests Can you estimate or test difference of proportions of voters who favor A or B when there are also undecided voters? See Mike's 2-Sample Proportion Problem. How to Test Goodness of Fit on TI-83/84 How to Test Goodness of Fit on TI-89 (advanced) Confidence Intervals for Goodness of Fit (advanced) Inferences about Linear Correlation Alternative for the TI-83/84: MATH200B part 6 (advanced) Inferences about Linear Regression Alternative for the TI-83/84: MATH200B part 7 (advanced) Inferences about One-Population Standard Deviation; there’s also a TI-83/84 procedure at MATH200B Program part 5. (advanced) One-Way ANOVA UCLA Statistics Case Studies — real-life applications you can work yourself. On-line statistics courses: NIST/SEMATECH e-Handbook of Statistical Methods, aimed at science and engineering. HyperStat Online Statistics Textbook by David Lane of Rice U, with cartoons! Little Handbook of Statistical Practice 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.
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