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# just in case, clear the workspace
rm(list=ls())
# or even better: restart the R session (Menu 'Session' - Restart R)
# we start with some basic data structures
# scalars
x <- 2.5
x
# can also use = but better use <-
x = 5
x
# note: 'x' is overwritten
# character strings need to be in quotes and can have spaces
x <- "Hello World!"
x
# numeric vectors
x <- c(2,5,4)
x
# note: c() is the 'combine' function
# can add spaces
x <- c(2, 5, 4)
x
# character/string vectors
x <- c("Male", "Male", "Female", "Female")
x
# quickly create a vector of consecutive numbers
x <- c(20:100)
x
# actually don't even need c() here
x <- 20:100
x
# note: if the vector is too long to fit into a single line, the output is
# wrapped and the numbers in brackets (e.g., [1]) indicate the position of
# the value that comes next
# if you mix numbers and strings, you get a character vector
x <- c("Bob", "Sue", "John", 2, 5)
x
# sidenote: this is called 'type conversion' and R uses a complex set of rules
# to do so in various circumstances (for better or for worse ...)
# logicals (TRUE/FALSE are special keywords)
x <- c(TRUE, FALSE, FALSE)
x
# can be abbreviated to T/F, but better avoid this
x <- c(F, F, T)
x
# comparisons (note that they lead to logicals)
x <- c(2, 4, 6, 3, 5)
x
x > 3
x >= 3
x < 3
x <= 3
x == 3
x != 3
# and/or (the parentheses are not necessary here, but make the code clearer)
(x > 3) & (x < 6)
(x < 3) | (x > 5)
# missing values
x <- c(2,,4)
x <- c(2, ,4)
x <- c(2, NA, 4)
x
# note: NA = not available (another special keyword)
# object/variable names:
# - must begin with a letter
# - contain alphanumeric symbols (A-Z, a-z, 0-9)
# - can also use . and _
# - are case-sensitive
# - no (relevant) restriction on length
# names should not:
# - correspond to commands (confusion/errors)
# - contain spaces
# check if something is a command: simply type the name and run this
mean
# better avoid naming objects after commands -> confusing!
mean <- c(2, 3, 4)
mean
mean(mean)
# remove 'mean' vector
rm(mean)
# sometimes we may come across 'named' vectors
age <- c(25, 21, 30)
age
age <- c(Bob=25, Sue=21, John=30)
age
############################################################################
# basic arithmetic with + - * / ^ log() exp() and so on
# be careful with order of operations (use parentheses as needed)
2 * 5 - 4 / 2 + 4
2 * ((5 - 4) / 2) + 4
-2^2
(-2)^2
log(2) # natural log
log10(2) # log to base 10
exp(1)
# a few special cases
2/0
(-2)/0
0/0
# Note: NaN = not a number (https://en.wikipedia.org/wiki/NaN)
# scientific notation
100000000
10^8
0.00000001
10^-8
# if you find scientific notation confusing
options(scipen=100)
100000000
0.00000001
# if you want to, you can set 'scipen' back to the default (0)
options(scipen=0)
# note: changes to the options are not permanent (if you restart R/RStudio,
# the default settings are in effect)
############################################################################
# let's check if our computers are broken
sqrt(2)
sqrt(2) * sqrt(2)
sqrt(2) * sqrt(2) - 2
# what is going on here?
print(sqrt(2) * sqrt(2), digits=18)
# whut?!?
# this is actually a FAQ: https://cran.r-project.org/doc/FAQ/R-FAQ.html#Why-doesn_0027t-R-think-these-numbers-are-equal_003f
############################################################################
# vectorized operations
x <- c(2,4,3,5,7)
x
x * 2
x^2
log(x)
# an example of a non-vectorized operation
mean(x)
# an example where we use vectorized and non-vectorized functions
x
x - mean(x)
(x - mean(x))^2
sum((x - mean(x))^2)
sum((x - mean(x))^2) / (length(x)-1)
sqrt(sum((x - mean(x))^2) / (length(x)-1))
sd(x)
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