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Statistics

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Statistics

Statistical inference, hypothesis testing, and regression

219Modules

10Units

Being rebuilt

This course is still in our original format. All the content is here and free to use, but it has not yet been through the rebuild that gives our newer courses their interactive animations and cleaner visuals — so you may hit some rough edges. Spot an error? Send us a note and we will fix it.

Recommended preparation

Algebra 2 is enough to begin, and a little Probability makes the inference topics click.

Algebra 2 Probability

What is Statistics?INTRO

Data is EverywhereINTRO

Telling Stories with DataINTRO

Types of DataLESSON

Data VisualizerACTIVITY

Collecting DataLESSON

Measures of Central TendencyLESSON

Mean, Median, and ModeLESSON

Calculating Mean and MedianEXAMPLE

Central Tendency PracticePRACTICE

Measures of SpreadLESSON

Measures of Spread PracticePRACTICE

Variance and Standard DeviationLESSON

Standard Deviation CalculationEXAMPLE

Percentiles and QuartilesLESSON

HistogramsLESSON

Histogram BuilderACTIVITY

Five Number SummaryLESSON

Box PlotsLESSON

Reading Box PlotsEXAMPLE

Scatter PlotsLESSON

Shape of DistributionsLESSON

Detecting OutliersLESSON

Summary Statistics CalculatorACTIVITY

Data Visualization PracticePRACTICE

Economic IndicatorsREAL WORLD

Sports StatisticsREAL WORLD

Descriptive Statistics SummarySUMMARY

Descriptive Statistics ReferenceREFERENCE

Descriptive Statistics QuizQUIZ

Why Probability in Statistics?INTRO

Dealing with UncertaintyINTRO

Probability Basics ReviewLESSON

Probability Review PracticePRACTICE

Random Variables ReviewLESSON

Expected Value and VarianceLESSON

Binomial DistributionLESSON

The Normal DistributionLESSON

Normal Distribution ExamplesEXAMPLE

Normal Distribution ExplorerACTIVITY

Normal Distribution PracticePRACTICE

Standard Normal DistributionLESSON

Z-Scores and StandardizationLESSON

Z-Score ExamplesEXAMPLE

Z-Table CalculatorACTIVITY

Normal Distribution CalculationsLESSON

Normal Approximation to BinomialLESSON

Probability Review SummarySUMMARY

Probability Reference SheetREFERENCE

Probability Review QuizQUIZ

Sample vs PopulationINTRO

Sampling VariabilityINTRO

The Magic of the CLTINTRO

Populations and SamplesLESSON

Sampling MethodsLESSON

Sampling SimulatorACTIVITY

Sampling BiasLESSON

Sampling Distribution of the MeanLESSON

Sampling Distribution ExamplesEXAMPLE

Standard ErrorLESSON

Central Limit TheoremLESSON

CLT Application ExamplesEXAMPLE

CLT DemonstratorACTIVITY

CLT PracticePRACTICE

Applications of the CLTLESSON

Sampling Distribution of ProportionsLESSON

Polling and SamplingREAL WORLD

Sampling PracticePRACTICE

Sampling Distributions SummarySUMMARY

Sampling Distributions ReferenceREFERENCE

Sampling Distributions QuizQUIZ

The Art of EstimationINTRO

What Does Confidence Mean?INTRO

Point EstimatesLESSON

Interval EstimatesLESSON

CI VisualizerACTIVITY

Confidence LevelLESSON

CI for Mean (σ Known)LESSON

Confidence Interval for Mean ExamplesEXAMPLE

CI for Mean PracticePRACTICE

The t-DistributionLESSON

CI for Mean (σ Unknown)LESSON

CI for ProportionsLESSON

CI for Proportion PracticePRACTICE

Margin of ErrorLESSON

Determining Sample SizeLESSON

Sample Size CalculationEXAMPLE

Sample Size PracticePRACTICE

Political Polls and MarginsREAL WORLD

Interpreting Confidence IntervalsLESSON

Confidence Interval for ProportionEXAMPLE

Medical Study ConfidenceREAL WORLD

Confidence Interval CalculatorACTIVITY

Confidence Intervals SummarySUMMARY

Confidence Intervals ReferenceREFERENCE

Confidence Intervals QuizQUIZ

What is Hypothesis Testing?INTRO

Evidence and DecisionsINTRO

Errors and ConsequencesINTRO

Null and Alternative HypothesesLESSON

Hypothesis Setup PracticePRACTICE

Test StatisticsLESSON

P-Value VisualizerACTIVITY

Significance LevelLESSON

Type I and Type II ErrorsLESSON

Power of a TestLESSON

Power CalculatorACTIVITY

One-Tailed vs Two-Tailed TestsLESSON

Z-Test for Population MeanLESSON

Z-Test ExamplesEXAMPLE

Z-Test PracticePRACTICE

T-Test for Population MeanLESSON

T-Test ExamplesEXAMPLE

T-Test PracticePRACTICE

Test for Population ProportionLESSON

Practical vs Statistical SignificanceLESSON

Proportion Test ExamplesEXAMPLE

Drug Trial TestingREAL WORLD

Quality Control TestingREAL WORLD

Hypothesis Test CalculatorACTIVITY

Hypothesis Testing SummarySUMMARY

Hypothesis Testing ReferenceREFERENCE

Hypothesis Testing QuizQUIZ

Comparing GroupsINTRO

Paired vs Independent SamplesINTRO

Two-Sample Z-TestLESSON

Two-Sample T-TestLESSON

Pooled vs Unpooled VarianceLESSON

Two-Sample T-Test ExamplesEXAMPLE

Two-Sample Test CalculatorACTIVITY

Two-Sample Test PracticePRACTICE

Paired T-TestLESSON

Paired T-Test ExamplesEXAMPLE

Paired Test PracticePRACTICE

Two-Proportion TestLESSON

Two-Proportion Test ExamplesEXAMPLE

Effect Size for Two GroupsLESSON

Effect Size ExplorerACTIVITY

Assumptions for Two-Sample TestsLESSON

A/B Testing in BusinessREAL WORLD

Clinical Trial ComparisonsREAL WORLD

Comparing Groups SummarySUMMARY

Comparing Groups ReferenceREFERENCE

Comparing Groups QuizQUIZ

Analyzing Categorical DataINTRO

The Chi-Square DistributionINTRO

Chi-Square DistributionLESSON

Expected FrequenciesLESSON

Chi-Square CalculatorACTIVITY

Goodness of Fit TestLESSON

Goodness of Fit ExamplesEXAMPLE

Goodness of Fit PracticePRACTICE

Contingency TablesLESSON

Test for IndependenceLESSON

Independence Test ExamplesEXAMPLE

Independence Test PracticePRACTICE

Test for HomogeneityLESSON

Assumptions and ConditionsLESSON

Contingency Table AnalyzerACTIVITY

Genetics and Chi-SquareREAL WORLD

Survey AnalysisREAL WORLD

Chi-Square Tests SummarySUMMARY

Chi-Square Tests ReferenceREFERENCE

Chi-Square Tests QuizQUIZ

Comparing Many GroupsINTRO

Decomposing VarianceINTRO

Introduction to ANOVALESSON

The F-DistributionLESSON

F-Distribution ExplorerACTIVITY

One-Way ANOVALESSON

One-Way ANOVA ExamplesEXAMPLE

One-Way ANOVA PracticePRACTICE

The ANOVA TableLESSON

ANOVA CalculatorACTIVITY

ANOVA AssumptionsLESSON

Post-Hoc TestsLESSON

Post-Hoc Test ExamplesEXAMPLE

Post-Hoc PracticePRACTICE

Tukey's HSDLESSON

Two-Way ANOVALESSON

Interaction EffectsLESSON

Treatment ComparisonsREAL WORLD

Experimental DesignREAL WORLD

ANOVA SummarySUMMARY

ANOVA ReferenceREFERENCE

Finding Relationships in DataINTRO

Making PredictionsINTRO

CorrelationLESSON

Correlation CoefficientLESSON

Correlation Analysis ExamplesEXAMPLE

Correlation ExplorerACTIVITY

Correlation PracticePRACTICE

Simple Linear RegressionLESSON

Least Squares MethodLESSON

Building a Regression ModelEXAMPLE

Regression CalculatorACTIVITY

Regression PracticePRACTICE

Interpreting Regression CoefficientsLESSON

R-SquaredLESSON

Residuals and Residual PlotsLESSON

Residual Analysis ExamplesEXAMPLE

Residual PlotterACTIVITY

Residual Analysis PracticePRACTICE

Regression AssumptionsLESSON

Inference in RegressionLESSON

Prediction IntervalsLESSON

Introduction to Multiple RegressionLESSON

Predicting Housing PricesREAL WORLD

Growth ModelingREAL WORLD

Regression SummarySUMMARY

Regression ReferenceREFERENCE

Regression QuizQUIZ

Comprehensive Statistics TestQUIZ

Statistics Problem Solving GuideREFERENCE

Statistics Master ReferenceREFERENCE

Complete Formula SheetFORMULA SHEET

Statistical Tables (Z, t, Chi-Square, F)FORMULA SHEET