Statistics Enrichment
You are not responsible on exams, projects, or homework for knowing this material, but I feel remiss not sharing it with you...and who knows? You might
find some of it useful. :)
- The greatest reference of them all:
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- The "Khan Academy" is a series of very, very helpful videos explaining a myriad of math topics.
- Ask Dr. Math is presented by Drexel University. It is a veritable warehouse of mathematical information, including a question/answer forum that you might find useful.
- Purple Math was recommended to me by some previous students. It appears to be mostly an algebraic resource.
- Hippocampus has been recommended to me by
a colleague.
- Here's an Excel Sheet that I've been working on to replace the TI!
- A formula/table insert that came with an old textbook, but that you still might find useful. Maybe. I dunno. :)
- A PowerBall analysis
- A wonderful true story that'll hopefully convince you, once again, how important averages are!
- Justification for the mean and standard deviation of the binomial distribution
- Derivation of the Poisson formulas from the binomial distribution
- Justification for the mean and standard deviation of the standard normal distribution
- Justification that the Poisson, geometric, and multinomial formulas make sense
- Justification of the Fundamental Counting Principle
- Justification for the mean and standard deviation of the standard normal distribution
- Here are two reasons that the normal distribution is, indeed, a distribution
- A pretty good explanation of why n = 30 is a good
cutoff for sample sizes (even though that number is really just an historical artifact).
- My ruminations on 95% confidence
- In class, we used Excel to suggest that the sample mean, sample variance, and sample proportion were unbiased estimators of their corresponding parameters.
Here's algebraic proof, if you'd like it!
- Hey! Why's that 0.25 there in the proportion sample size calculator?
- Here's why teh annuity savings formula is what it is
- While we're on the subject of proportions, this gives you a rationale behind the sample size requirement for
proportion studies.
- While we're (still) on the subject of proportions, this explains why that MOE is what it is.
- And, one more proportion idea...here's a great rationale behind why we pool variances for two - proportion studies.
- Justification for the formulas used in linear regression.
- Remember when you almost puked when you saw the standard deviation for 2 - sample independent t - tests? Well, this might make you dry - heave some more...but it'll also rigorously prove why it makes sense.
- A justification for the ANOVA test statistic.