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r.Rmd
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```{r, message=FALSE, echo=FALSE, cache=FALSE}
source("./customization/knitr_options.R")
```
# (PART) R {-}
# R Basics
## What is R?
- R is a programming language, a high-level "interpreted language"
- R is an interactive environment
- R is used for doing statistics and data science
## Pros and Cons of R
- R is free and open-source
- R stays on the cutting-edge because of its ability to utilize independently developed "packages"
- R has some [peculiar featues](http://www.johndcook.com/blog/r_language_for_programmers/) that experienced programmers should note (see [The R Inferno](http://www.burns-stat.com/pages/Tutor/R_inferno.pdf))
- R has an [amazing](https://twitter.com/search?q=%23rstats) [community](http://stackoverflow.com/tags/r/info) of passionate users and developers
## RStudio
- RStudio is an IDE (integrated development environment) for R
- It contains many useful features for using R
- We will use the free version of RStudio in this course
## Getting Started in R
### Calculator
Operations on numbers: `+ - * / ^`
```{r}
2+1
```
```{r}
6+3*4-2^3
```
```{r}
6+(3*4)-(2^3)
```
### Atomic Classes
There are five atomic classes (or modes) of objects in R:
1. character
2. complex
3. integer
4. logical
5. numeric (real number)
There is a sixth called "raw" that we will not discuss.
### Assigning Values to Variables
```{r}
x <- "qcb508" # character
x <- 2+1i # complex
x <- 4L # integer
x <- TRUE # logical
x <- 3.14159 # numeric
```
Note: Anything typed after the `#` sign is not evaluated. The `#` sign allows you to add comments to your code.
### More Ways to Assign Values
```{r}
x <- 1
1 -> x
x = 1
```
In this class, we ask that you only use `x <- 1`.
### Evaluation
When a complete expression is entered at the prompt, it is evaluated and the result of the evaluated expression is returned. The result may be auto-printed.
```{r}
x <- 1
x+2
print(x)
print(x+2)
```
### Functions
There are [many useful functions](http://www.statmethods.net/management/functions.html) included in R. "Packages" (covered later) can be loaded as libraries to provide additional functions. You can also write your own functions in any R session.
Here are some examples of built-in functions:
```{r}
x <- 2
print(x)
sqrt(x)
log(x)
class(x)
is.vector(x)
```
### Accessing Help in R
You can open the help file for any function by typing `?` with the functions name. Here is an example:
```{r}
?sqrt
```
There's also a function `help.search` that can do general searches for help. You can learn about it by typing:
```{r}
?help.search
```
It's also useful to use Google: for example, ["r help square root"](https://www.google.com/search?q=r+help+square+root). The R help files are also on the web.
### Variable Names
In the previous examples, we used `x` as our variable name. Do not use the following variable names, as they have special meanings in R:
```
c, q, s, t, C, D, F, I, T
```
When combining two words for a given variable, we recommend one of these options:
```{r}
my_variable <- 1
myVariable <- 1
```
Variable names such as `my.variable` are problematic because of the special use of "." in R.
### Vectors
The vector is the most basic object in R. You can create vectors in a number of ways.
```{r}
x <- c(1, 2, 3, 4, 5)
x
y <- 1:40
y
z <- seq(from=0, to=100, by=10)
z
length(z)
```
### Vectors
- Programmers: vectors are indexed starting at `1`, not `0`
- A vector can only contain elements of a single class:
```{r}
x <- "a"
x[0]
x[1]
y <- 1:3
z <- c(x, y, TRUE, FALSE)
z
```
### Matrices
Like vectors, matrices are objects that can contain elements of only one class.
```{r}
m <- matrix(1:6, nrow=2, ncol=3)
m
m <- matrix(1:6, nrow=2, ncol=3, byrow=TRUE)
m
```
### Factors
In statistics, factors encode categorical data.
```{r}
paint <- factor(c("red", "white", "blue", "blue", "red",
"red"))
paint
table(paint)
unclass(paint)
```
### Lists
Lists allow you to hold different classes of objects in one variable.
```{r}
x <- list(1:3, "a", c(TRUE, FALSE))
x
## access any element of the list
x[[2]]
x[[3]][2]
```
### Lists with Names
The elements of a list can be given names.
```{r}
x <- list(counting=1:3, char="a", logic=c(TRUE, FALSE))
x
## access any element of the list
x$char
x$logic[2]
```
### Missing Values
In data analysis and model fitting, we often have missing values. `NA` represents missing values and `NaN` means "not a number", which is a special type of missing value.
```{r}
m <- matrix(nrow=3, ncol=3)
m
0/1
1/0
0/0
```
### `NULL`
`NULL` is a special type of reserved value in R.
```{r}
x <- vector(mode="list", length=3)
x
```
### Coercion
We saw earlier that when we mixed classes in a vector they were all coerced to be of type character:
```{r}
c("a", 1:3, TRUE, FALSE)
```
You can directly apply coercion with functions `as.numeric()`, `as.character()`, `as.logical()`, etc.
This doesn't always work out well:
```{r}
x <- 1:3
as.character(x)
y <- c("a", "b", "c")
as.numeric(y)
```
### Data Frames
The data frame is one of the most important objects in R. Data sets very often come in tabular form of mixed classes, and data frames are constructed exactly for this.
Data frames are lists where each element has the same length.
### Data Frames
```{r}
df <- data.frame(counting=1:3, char=c("a", "b", "c"),
logic=c(TRUE, FALSE, TRUE))
df
nrow(df)
ncol(df)
```
### Data Frames
```{r}
dim(df)
names(df)
attributes(df)
```
### Attributes
Attributes give information (or meta-data) about R objects. The previous slide shows `attributes(df)`, the attributes of the data frame `df`.
```{r}
x <- 1:3
attributes(x) # no attributes for a standard vector
m <- matrix(1:6, nrow=2, ncol=3)
attributes(m)
```
```{r}
paint <- factor(c("red", "white", "blue", "blue", "red",
"red"))
attributes(paint)
```
### Names
Names can be assigned to columns and rows of vectors, matrices, and data frames. This makes your code easier to write and read.
```{r}
names(x) <- c("Princeton", "Rutgers", "Penn")
x
colnames(m) <- c("NJ", "NY", "PA")
rownames(m) <- c("East", "West")
m
colnames(m)
```
### Accessing Names
Displaying or assigning names to these three types of objects does not have consistent syntax.
Object | Column Names | Row Names
-------|--------------|----------
vector | `names()` | N/A
data frame | `names()` | `row.names()`
data frame | `colnames()` | `rownames()`
matrix | `colnames()` | `rownames()`
# Reproducible Data Analysis
## Definition and Motivation
- Reproducibility involves *being able to recalculate the exact numbers in a data analysis using the code and raw data provided by the analyst*.
- Reproducibility is often difficult to achieve and has slowed down the discovery of important data analytic errors.
- Reproducibility should not be confused with "correctness" of a data analysis. A data analysis can be fully reproducible and recreate all numbers in an analysis and still be misleading or incorrect.
From [*Elements of Data Analytic Style*](https://leanpub.com/datastyle), by Leek
## Reproducible vs. Replicable
*Reproducible research* is often used these days to indicate the ability to recalculate the exact numbers in a data analysis
*Replicable research results* often refers to the ability to independently carry out a study (thereby collecting new data) and coming to equivalent conclusions as the original study
These two terms are often confused, so it is important to clearly state the definition
## Steps to a Reproducible Analysis
1. Use a data analysis script -- e.g., R Markdown (discussed next section!) or iPython Notebooks
2. Record versions of software and paramaters -- e.g., use `sessionInfo()` in R as in `hw_1.Rmd`
3. Organize your data analysis
4. Use version control -- e.g., GitHub
5. Set a random number generator seed -- e.g., use `set.seed()` in R
6. Have someone else run your analysis
## Organizing Your Data Analysis
- Data
- raw data
- processed data (sometimes multiple stages for very large data sets)
- Figures
- Exploratory figures
- Final figures
- R code
- Raw or unused scripts
- Data processing scripts
- Analysis scripts
- Text
- README files explaining what all the components are
- Final data analysis products like presentations/writeups
## Common Mistakes
- Failing to use a script for your analysis
- Not recording software and package version numbers or other settings used
- Not sharing your data and code
- Using reproducibility as a social weapon
## R Markdown
### R + Markdown + knitr
R Markdown was developed by the RStudio team to allow one to write reproducible research documents using Markdown and `knitr`. This is contained in the `rmarkdown` package, but can easily be carried out in RStudio.
Markdown was originally developed as a very simply text-to-html conversion tool. With Pandoc, Markdown is a very simply text-to-`X` conversion tool where `X` can be many different formats: html, LaTeX, PDF, Word, etc.
### R Markdown Files
R Markdown documents begin with a metadata section, the YAML header, that can include information on the title, author, and date as well as options for customizing output.
```
title: "QCB 508 -- Homework 1"
author: "Your Name"
date: February 23, 2017
output: pdf_document
```
Many options are available. See <http://rmarkdown.rstudio.com> for full documentation.
### Markdown
Headers:
```
# Header 1
## Header 2
### Header 3
```
Emphasis:
```
*italic* **bold**
_italic_ __bold__
```
Tables:
```
First Header | Second Header
------------- | -------------
Content Cell | Content Cell
Content Cell | Content Cell
```
Unordered list:
```
- Item 1
- Item 2
- Item 2a
- Item 2b
```
Ordered list:
```
1. Item 1
2. Item 2
3. Item 3
- Item 3a
- Item 3b
```
Links:
```
http://example.com
[linked phrase](http://example.com)
```
Blockquotes:
```
Florence Nightingale once said:
> For the sick it is important
> to have the best.
```
Plain code blocks:
```{r, echo=FALSE}
cat(c("```",
"This text is displayed verbatim with no formatting.",
"```"),
sep='\n')
```
Inline Code:
```
We use the `print()` function to print the contents
of a variable in R.
```
Additional documentation and examples can be found [here](http://rmarkdown.rstudio.com/authoring_basics.html) and [here](http://daringfireball.net/projects/markdown/basics).
### LaTeX
LaTeX is a markup language for technical writing, especially for mathematics. It can be include in R Markdown files.
For example,
```
$y = a + bx + \epsilon$
```
produces
$y = a + bx + \epsilon$
[Here](https://www.artofproblemsolving.com/wiki/index.php/LaTeX) is an introduction to LaTeX and [here](http://www.stat.cmu.edu/~cshalizi/rmarkdown/#math-in-r-markdown) is a primer on LaTeX for R Markdown.
### knitr
The `knitr` R package allows one to execute R code within a document, and to display the code itself and its output (if desired). This is particularly easy to do in the R Markdown setting. For example...
*Placing the following text in an R Markdown file*
```{r echo=FALSE}
cat("The sum of 2 and 2 is `r 2+2`.")
```
*produces in the output file*
The sum of 2 and 2 is `r 2+2`.
### knitr Chunks
Chunks of R code separated from the text. In R Markdown:
```{r, echo=FALSE}
cat(c("```{r}",
"x <- 2",
"x + 1",
"print(x)",
"```"),
sep='\n')
```
Output in file:
```{r}
x <- 2
x + 1
print(x)
```
### Chunk Option: `echo`
In R Markdown:
```{r, echo=FALSE}
cat(c("```{r, echo=FALSE}",
"x <- 2",
"x + 1",
"print(x)",
"```"),
sep='\n')
```
Output in file:
```{r, echo=FALSE}
x <- 2
x + 1
print(x)
```
### Chunk Option: `results`
In R Markdown:
```{r, echo=FALSE}
cat(c("```{r, results=\"hide\"}",
"x <- 2",
"x + 1",
"print(x)",
"```"),
sep='\n')
```
Output in file:
```{r, results="hide"}
x <- 2
x + 1
print(x)
```
### Chunk Option: `include`
In R Markdown:
```{r, echo=FALSE}
cat(c("```{r, include=FALSE}",
"x <- 2",
"x + 1",
"print(x)",
"```"),
sep='\n')
```
Output in file:
```{r, include=FALSE}
x <- 2
x + 1
print(x)
```
(nothing)
### Chunk Option: `eval`
In R Markdown:
```{r, echo=FALSE}
cat(c("```{r, eval=FALSE}",
"x <- 2",
"x + 1",
"print(x)",
"```"),
sep='\n')
```
Output in file:
```{r, eval=FALSE}
x <- 2
x + 1
print(x)
```
### Chunk Names
Naming your chunks can be useful for identifying them in your file and during the execution, and also to denote dependencies among chunks.
```{r, echo=FALSE}
cat(c("```{r my_first_chunk}",
"x <- 2",
"x + 1",
"print(x)",
"```"),
sep='\n')
```
### knitr Option: `cache`
Sometimes you don't want to run chunks over and over, especially for large calculations. You can "cache" them.
```{r, echo=FALSE}
cat(c("```{r chunk1, cache=TRUE, include=FALSE}",
"x <- 2",
"```"),
sep='\n')
```
```{r, echo=FALSE}
cat(c("```{r chunk2, cache=TRUE, dependson=\"chunk1\"}",
"y <- 3",
"z <- x + y",
"```"),
sep='\n')
```
This creates a directory called `cache` in your working directory that stores the objects created or modified in these chunks. When `chunk1` is modified, it is re-run. Since `chunk2` depends on `chunk1`, it will also be re-run.
### knitr Options: figures
You can add chunk options regarding the placement and size of figures. Examples include:
- `fig.width`
- `fig.height`
- `fig.align`
### Changing Default Chunk Settings
If you will be using the same options on most chunks, you can set default options for the entire document. Run something like this at the beginning of your document with your desired chunk options.
```{r, echo=FALSE}
cat(c("```{r my_opts, cache=FALSE, echo=FALSE}",
"library(\"knitr\")",
"opts_chunk$set(fig.align=\"center\", fig.height=4, fig.width=6)",
"```"),
sep='\n')
```
### Documentation and Examples
- <http://yihui.name/knitr/>
- <http://kbroman.org/knitr_knutshell/pages/Rmarkdown.html>
- <https://github.com/jdstorey/asdslectures>
# R Programming
## Control Structures
### Rationale
- Control structures in R allow you to control the flow of execution of a series of R expressions
- They allow you to put some logic into your R code, rather than just always executing the same R code every time
- Control structures also allow you to respond to inputs or to features of the data and execute different R expressions accordingly
Paraphrased from [*R Programming for Data Science*](https://leanpub.com/rprogramming), by Peng
### Common Control Structures
- `if` and `else`: testing a condition and acting on it
- `for`: execute a loop a fixed number of times
- `while`: execute a loop while a condition is true
- `repeat`: execute an infinite loop (must break out of it to stop)
- `break`: break the execution of a loop
- `next`: skip an interation of a loop
From *R Programming for Data Science*, by Peng
### Some Boolean Logic
R has built-in functions that produce `TRUE` or `FALSE` such as `is.vector` or `is.na`. You can also do the following:
- `x == y` : does x equal y?
- `x > y` : is x greater than y? (also `<` less than)
- `x >= y` : is x greater than or equal to y?
- `x && y` : are both x and y true?
- `x || y` : is either x or y true?
- `!is.vector(x)` : this is `TRUE` if x is not a vector
### `if`
Idea:
```
if(<condition>) {
## do something
}
### Continue with rest of code
```
Example:
```{r}
x <- c(1,2,3)
if(is.numeric(x)) {
x+2
}
```
### `if`-`else`
Idea:
```
if(<condition>) {
## do something
}
else {
## do something else
}
```
Example:
```{r}
x <- c("a", "b", "c")
if(is.numeric(x)) {
print(x+2)
} else {
class(x)
}
```
### `for` Loops
Example:
```{r}
for(i in 1:10) {
print(i)
}
```
Examples:
```{r}
x <- c("a", "b", "c", "d")
for(i in 1:4) {
print(x[i])
}
for(i in seq_along(x)) {
print(x[i])
}
```
### Nested `for` Loops
Example:
```{r}
m <- matrix(1:6, nrow=2, ncol=3, byrow=TRUE)
for(i in seq_len(nrow(m))) {
for(j in seq_len(ncol(m))) {
print(m[i,j])
}
}
```
### `while`
Example:
```{r}
x <- 1:10
idx <- 1
while(x[idx] < 4) {
print(x[idx])
idx <- idx + 1
}
idx
```
Repeats the loop until while the condition is `TRUE`.
### `repeat`
Example:
```{r}
x <- 1:10
idx <- 1
repeat {
print(x[idx])
idx <- idx + 1
if(idx >= 4) {
break
}
}
idx
```
Repeats the loop until `break` is executed.
### `break` and `next`
`break` ends the loop. `next` skips the rest of the current loop iteration.
Example:
```{r}
x <- 1:1000
for(idx in 1:1000) {
# %% calculates division remainder
if((x[idx] %% 2) > 0) {
next
} else if(x[idx] > 10) { # an else-if!!
break
} else {
print(x[idx])
}
}
```
## Vectorized Operations
### Calculations on Vectors
R is usually smart about doing calculations with vectors. Examples:
```{r}
x <- 1:3
y <- 4:6
2*x # same as c(2*x[1], 2*x[2], 2*x[3])
x + 1 # same as c(x[1]+1, x[2]+1, x[3]+1)
x + y # same as c(x[1]+y[1], x[2]+y[2], x[3]+y[3])
x*y # same as c(x[1]*y[1], x[2]*y[2], x[3]*y[3])
```
### A Caveat
If two vectors are of different lengths, R tries to find a solution for you (and doesn't always tell you).
```{r}
x <- 1:5
y <- 1:2
x+y
```
What happened here?
### Vectorized Matrix Operations
Operations on matrices are also vectorized. Example:
```{r}
x <- matrix(1:4, nrow=2, ncol=2, byrow=TRUE)
y <- matrix(1:4, nrow=2, ncol=2)
x+y
x*y
```
### Mixing Vectors and Matrices
What happens when we do calculations involving a vector and a matrix? Example:
```{r}
x <- matrix(1:6, nrow=2, ncol=3, byrow=TRUE)
z <- 1:2
x + z
x * z
```
### Mixing Vectors and Matrices
Another example:
```{r}
x <- matrix(1:6, nrow=2, ncol=3, byrow=TRUE)
z <- 1:3
x + z
x * z
```
What happened this time?
### Vectorized Boolean Logic
We saw `&&` and `||` applied to pairs of logical values. We can also vectorize these operations.
```{r}
a <- c(TRUE, TRUE, FALSE)
b <- c(FALSE, TRUE, FALSE)
a | b
a & b
```
## Subsetting R Objects
### Subsetting Vectors
```{r}
x <- 1:8
x[1] # extract the first element
x[2] # extract the second element
x[1:4] # extract the first 4 elements
x[c(1, 3, 4)] # extract elements 1, 3, and 4
x[-c(1, 3, 4)] # extract all elements EXCEPT 1, 3, and 4
```
### Subsetting Vectors
```{r}
names(x) <- letters[1:8]
x
x[c("a", "b", "f")]
s <- x > 3
s
x[s]
```
### Subsettng Matrices
```{r}
x <- matrix(1:6, nrow=2, ncol=3, byrow=TRUE)
x
x[1,2]
x[1, ]
x[ ,2]
```
### Subsettng Matrices
```{r}
colnames(x) <- c("A", "B", "C")
x[ , c("B", "C")]
x[c(FALSE, TRUE), c("B", "C")]
x[2, c("B", "C")]
```
### Subsettng Matrices
```{r}
s <- (x %% 2) == 0
s
x[s]
x[c(2, 3, 6)]