Free resources
Four short, clear guides to the notation behind statistics, by Andrea Millán, Ph.D.
Mathematical Foundations in Statistics · 4 volumes
Vol I
Sigma Notation
What the Σ symbol means and how a sum is built: index, limits and key properties, with worked examples such as the mean.
Vol II
Factorial Notation
The factorial (n!): its components and properties, with calculations on a scientific calculator and in R.
Vol III
Combinatorics
Counting groups where order does not matter: the combination formula, the binomial coefficient and its properties, with worked examples.
Vol IV
Permutations
Counting ordered arrangements: the permutation formula and its relevant properties, with worked examples.
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