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
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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
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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.
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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:
- 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
- What Are the Odds?
- 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
- What’s Wrong with 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.