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Course Overview

Statistics for Data Science

CSE357 - Fall 2021

Statistics for Data Science

Statistics - methods for evaluating hypotheses in the light of empirical facts (Stanford Encyclopedia of Philosophy, 2014)

Statistics for Data Science

Statistics - methods for evaluating hypotheses in the light of empirical facts (Stanford Encyclopedia of Philosophy, 2014)

Data Science - a field focused on using statistical, scientific, and computational techniques to gain insights from data.

Computation (^) Statistics

Science

Statistics for Data Science

Statistics - methods for evaluating hypotheses in the light of empirical facts (Stanford Encyclopedia of Philosophy, 2014)

Data Science - a field focused on using statistical, scientific, and computational techniques to gain insights from data.

Computation (^) Statistics

Science

Statistics for Data Science

Statistical methods for gaining knowledge and insights from data.

-- designed for those already proficient in programming (i.e. computing)

Statistics for Data Science

Statistical methods for gaining knowledge and insights from data.

-- designed for those already proficient in programming (i.e. computing)

A pathway to knowledge about… … what was, (past) … what is, (present) … what is likely (future)

Statistics for Data Science

Statistical methods for gaining knowledge and insights from data.

-- designed for those already proficient in programming (i.e. computing)

A pathway to knowledge about… … what was, (past) … what is, (present) … what is likely (future)

Why?!? Jobs

Statistics for Data Science

Statistical methods for gaining knowledge and insights from data.

-- designed for those already proficient in programming (i.e. computing)

A pathway to knowledge about… … what was, (past) … what is, (present) … what is likely (future)

Why?!? Jobs Decisions

In other words, so you can go on Twitter and say

"The data say …"

"I did my research."

… and change no one's mind but at least understand it better yourself.

Course Website

https://www3.cs.stonybrook.edu/~has/CSE357/index.html

What is Probability?

What is Probability?

Examples

(1) outcome of flipping a coin

(2) amount of snowfall

(3) mentioning "happy"

(4) mentioning "happy" a lot

What is Probability?

The chance that something will happen.

Given infinite observations of an event, the proportion of observations where a given outcome happens.

Strength of belief that something is true.

“Mathematical language for quantifying uncertainty” - Wasserman

Probability (review)

Ω : Sample Space, set of all outcomes of a random experiment

A : Event ( A ⊆ Ω ), collection of possible outcomes of an experiment

P( A ): Probability of event A, P is a function: events→ℝ