X-Git-Url: https://code.communitydata.science/stats_class_2019.git/blobdiff_plain/bd9eba025b1137bb6497a56ad3f5634ff411058e..f21e8d18685e0ed07df48b7eb5050a616ee316dd:/r_lectures/w04-R_lecture.Rmd diff --git a/r_lectures/w04-R_lecture.Rmd b/r_lectures/w04-R_lecture.Rmd new file mode 100644 index 0000000..c7c84ff --- /dev/null +++ b/r_lectures/w04-R_lecture.Rmd @@ -0,0 +1,59 @@ +--- +title: "Week 3 R lecture" +subtitle: "Statistics and statistical programming \nNorthwestern University \nMTS 525" +author: "Aaron Shaw" +date: "April 18, 2019" +output: html_document +--- + +```{r setup, include=FALSE} +knitr::opts_chunk$set(echo = TRUE) +``` + +This week, we'll focus on one more way to manage date-time objects and some ways to generate distributions. + +## as.Date + +First, something I meant to include in last week's materials. The `as.Date()` function provides an alternative to `as.POSIX()` that is far more memorable and readable, but far less precise. Note that it truncates the time of day and the timezone from the ouput + +```{r} +m <- "2019-02-21 04:35:00" +class(m) + +a.good.time <- as.Date(m, format="%Y-%m-%d %H:%M:%S", tz="CDT") +class(a.good.time) +a.good.time +``` + +## Distribution functions +distribution functions: lets focus on *unif(): the key is on page 222 of Verzani +The “d” functions return the p.d.f. of the distribution +dunif(x=1, min=0, max=3) # 1/3 of the area is the to the left 1 +The “p” functions return the c.d.f. of the distribution. +dunif(q=2, min=0, max=3) #1/(b-a) is 2/3 +The “q” functions return the quantiles. +qunif(p=0.5, min=0, max=3) # half way between 0 and 3 + +The “r” functions return random samples from a distribution. +runif(n=1, min=0, max=3) # a random value in [0,3] + +## Doing simple simulations with random data +runif() +rnorm() + +## A quick simulation + +In case you don't believe the central limit theorem, let's put together a quick simulation to illustrate it in R. + +Write a function to repeatedly take the mean of a sample. + +Experiment by changing the size of the sample + + +## Quantile quantile plots + + +## Binomial and factorial functions +Choose, factorial + +