10/24/2022

R demos for Chapter 9

• R Demo and discussion of commands in Chapter 9 - See Chapter9_Statistical Foundations.R

Chapter 13 - Simulation

• Purpose and importance of simulation
• Randomizing fuctions in R
  • shuffle() in the mosaic package
  • runif()
  • rnorm()
  • rexp()
  • rt()
  • rbinom()
  • nflip()
  • and many others
• R Demo and discussion of commands in Chapter 13 - See Chapter13_Simulation.R

Discrete Random Variables

• Bernoulli distribution
  • probability distribution
  • mean, variance, and standard deviation
• Binomial distribution
  • probability distribution
  • mean, variance, and standard deviation
  • dbinom(k, n, p), pbinom(k, n, p), and rbinom(k, n, p) with RStudio
• Geometric distribution
  • Mean, variance, memoryless property
  • dgeom(k, p), pgeom(k, p), and rgeom(n, p) with RStudio
  • library(visualize)
  • visualize.geom(stat=1, prob=0.3, section="lower", strict = FALSE)
• Negative binomial distribution
  • Mean and variance
  • dnbinom(k, r, p), pnbinom(k, r, p), and rnbinom(n, r, p) with RStudio
• Hypergeometric distribution
  • dhyper(k, r, N-r, n), phyper(k, r, N-r, n), and rhyper(k, r, N-r, n) with RStudio
  • Relationship with binomial distribution
• Poisson distribution
  • dpois(k, lamda), ppois(k, lamda), and rpois(n, lamda)

Please send me an email message (before October 27) that includes a short description of your resampling and simulation plans for your second project, whether you will be working alone or with a partner, and the preferred date for your presentation (between October 31 and November 7).

We will discuss continuous probability distributions on Wednesday, and have a problem session on Friday.