The if, else if, else structure

The for loop

The while loop

The break & next statements

Defining functions and signatures

Defining scope and providing an example (the output at the bottom doesn't appear until the spacebar is pressed)

and, finally, DataFrames - the common R data structures

Physics, CS / Stats and Mathematical definitions

Two and three-dimension vector representation and how to add vectors.

Linear transformation and matrix multiplication.

Determinant and Eigenvector definitions.

Dimension reduction definition using eigenvectors and eigenvalues.

Creating Matrices with R

Manipulating Matrices with R

Matrix Math with R (1)

Matrix Math with R (2)

Templating with paste & writeLines

Including differences between indexing in R and python!

A fun little exercise using str_ functions to collect the longer than average words!

Just a couple of examples from the Rebus lesson.

dplyr's mutate() function

the summarize() function for summary statistics

Writing to csv or Excel files

Making data tidy with gather()

Quick review of joining rules

Filtering joins, one of the three classes of joins in dplyr

Continuous, discrete, categorical, ordinal, nominal, skewed, normal 

mean, variance, standard deviation, standard error, median, mode, min, max, range, quantile, IQR, skew and kurtosis

estimate, hypothesis testing, p-value, robustness, sensitivity testing, type 1 error, type 2 error and power

correlation, T-testing, Chi-squared, ANOVA, CMH, Fisher's exact and linear and logistic regression

Mann Whitney U / Wilcoxon Sum Rank, Wilcoxon Signed Rank, Kruskal-Wallis

R-Squared, RMSE, ROC / AUC, AIC, cross validation, confusion matrix and A/B testing

Using group_by with the summarize() function

Using PerformanceAnalytics' chart.Correlation() function

Are my data normally distributed?

Significance level, type I and II error and Effect Size

Comparing the means of groups (where the data are normally distributed)

aka Wilcoxon Rank Sum Test; Tests whether mean ranks differ between groups - a nonparametric t-test

A nonparametric ANOVA

A nonparametric alternative to the paired t-test; are these distributions statistically different?

Using the Chi-Squared Test of Independence allows us to compare observed and expected frequencies among groups

A Chi-Square Test with Very Small Frequencies

A Chi-Squared Test that examines the significance of the association between two categorical variables when stratified by a third variable (often a confounder)