R can easily generate random samples from a whole library of probability distributions. We might want to do this to gain insight into the distribution's shape and properties. A tricky aspect of statistics is that results like the central limit theore... [Read more...]

We've already seen two discrete probability distributions, the binomial and the hypergeometric. The binomial distribution describes the number of successes in a series of independent trials with replacement. The hypergeometric distribution describes th... [Read more...]

This is a little digression from Chapter 5 of Using R for Introductory Statistics that led me to the hypergeometric distribution. Question 5.13 A sample of 100 people is drawn from a population of 600,000. If it is known that 40% of the population h... [Read more...]

In Chapter 5 of Using R for Introductory Statistics we get a brief introduction to probability and, as part of that, a few common probability distributions. Specifically, the normal, binomial, exponential and lognormal distributions make an appearance.... [Read more...]

Any good stats book has to cover a bit of basic probability. That's the purpose of Chapter 5 of Using R for Introductory Statistics, starting with a few definitions: Random variable A random number drawn from a population. A random variable is ... [Read more...]

Several R functions take model formulae as parameters. Model formulae are symbolic expressions. They define a relationship between variables rather than an arithmetic expression to be evaluated immediately. Model formulae are defined with the tilde ope... [Read more...]

Chapter 4 of Using R for Introductory Statistics gets us started working with multivariate data. The question is: what are the relationships among the variables? One way to go about answering it is by pairwise comparison of variables. Another techniq... [Read more...]

...a continuing journey through Using R for Introductory Statistics, by John Verzani. Simple linear regression Linear regression is a kooky term for fitting a line to some data. This odd bit of terminology can be blamed on Sir Francis Galton, a proli... [Read more...]

...continuing our way though John Verzani's Using R for introductory statistics. Previous installments: chapt1&2, chapt3.1, chapt3.2 Relationships in numeric data If two data series have a natural pairing (x1,y1),...,(xn,yn), then we can ask, &ld... [Read more...]

...continuing my sloth-like progress through John Verzani's Using R for Introductory Statistics. Previous installments: Chapters 1 and 2 and 3.1. Comparing independent samples Boxplots provide a visual comparison between two or more distributions. Fo... [Read more...]

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