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Statistics Theory

The mathematical underpinnings of Statistics, Data Science, and Machine Learning. This publication focuses on explaining the mathematical tools that make Statistics powerful. Examples, questions, and accompanying videos are encouraged.

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Dr Connor in Statistics Theory

Dec 11, 2023

What is a Sample Space?

Examples and why they’re useful.

Dr Connor in Statistics Theory

Dec 10, 2023

A spinning coin. Representing one example of a statistical experiment.

What Is a Statistical Experiment?

The criteria for a statistical experiment with examples.

Dr Connor in Statistics Theory

Dec 9, 2023

The Stars and Bars Formula

How many ways can you put n identical items into m bins?

Dr Connor in Statistics Theory

Nov 15, 2023

A script P, for probability, encloses two pairs of card of the same kind, representing a 2 pair poker hand. A mix of probability notation and poker symbolism, linked to the topic of the article.

The Probability of a Two Pair in Poker

Question: How likely is a two-pair in poker? A Statistics…

Dr Connor in Statistics Theory

Nov 12, 2023

The Probability of a Poker Flush

Using probability to answer an example exercise from Stat 110.

A script P, for probability, encloses a set of cards that represent a poker hand. A mix of probability notation and poker symbolism, linked to the topic of the article.

Dr Connor in Statistics Theory

Nov 11, 2023

What is Naive Probability?

How counting outcomes can give you basic probabilities.

Dr Connor in Statistics Theory

Nov 10, 2023

What Is a Story Proof?

How to prove mathematical theorems using intuition.

The mathematical formula for the Binomial Coefficient equation on the left hand side of an equation, with an open book with story characters coming out of it on the right hand side. Visually demonstrating how mathematical formulas can be turned into stories.