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# Statistics I

## Make the best decisions with limited information.

We make many day-to-day decisions without seeing the big picture. Sometimes things turn out in our favor, sometimes not. Scientists, engineers, and other technically-minded people also make judgments using limited information. However, their fields have exacting standards, so a toolkit for making good conclusions from small data samples is invaluable to them.

This course covers the essential statistical methods that provide a mathematically sound basis for inferring general statements from limited data.

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1. 1

### Intro to Stats

The essentials of statistical analysis in a nutshell.

1. #### Into the Mystic: Hypothesis Testing

Journey into the core ideas of statistics.

2. #### Blue Mars: Sampling & Estimation

Discover how statisticians make sound judgments with limited data.

3. #### Roll the Dice: The Central Limit Theorem

Learn about the most important statistical tool of all.

2. 2

### Data Sampling

Techniques for gathering quality statistical data, and tips for avoiding the pitfalls of bias.

1. Included with

#### Everyday Stats: Politics & Polls

Explore one of the most familiar uses of statistics.

2. Included with

#### Sampling Methods

Sample some basic methods for collecting good data.

3. Included with

#### The Sample Mean

What is a statistic, anyway?

4. Included with

#### Margin of Error I

Learn how to judge the results of a statistical analysis.

3. 3

### The Z-test

The core ideas of hypothesis testing.

1. Included with

#### The Z-statistic

Measure the "extremeness" of your data.

2. Included with

#### The Z-test

Apply probability concepts to test a hypothesis.

3. Included with

#### Understanding p-values

Explore the essential piece of many popular hypothesis tests.

4. Included with

#### p-hacking

Discover how p-values can be misused.

4. 4

### The Chi-Square test

A toolbox for testing statistical relationships.

1. Included with

#### The Chi-Square Statistic I

Venture into the world of hypothesis testing with chi-square statistics.

2. Included with

#### The Chi-Square Statistic II

Apply the chi-square statistic to a goodness of fit test.

3. Included with

#### Chi-Square Random Variables

Gain insight into chi-square statistics and their distributions.

4. Included with

#### Degrees of Freedom I

Deduce properties of dice from a distance.

5. 5

### The t-test

Statistical methods for comparing the means of two populations.

1. Included with

#### A Tale of Two Cities' Proportions

Use data to compare the means of two binomially distributed populations.

2. Included with

#### Intro to t-variables

Find out how to handle small samples and unknown variances.

3. Included with

#### Pooled Variance

Test for changes in population mean over time.

4. Included with

#### Unpooled Variance

Compare the means of two normally distributed populations.

6. 6

### Linear Regression & ANOVA

The basics of statistical model building and a real-world application.

1. Included with

#### Why ANOVA?

Take the first steps towards a test for comparing multiple means.

2. Included with

#### Linear Regression: The Simplest Model

Explore the concepts at the heart of linear regression.

3. Included with