In this chapter you will learn how to perform statistical inference on a single parameter that describes categorical data. This includes both resampling based methods and approximation based methods for a single proportion.

The General Social Survey

Exploring consci

Generating via bootstrap

Constructing a CI

Why more bootstraps?

Interpreting a Confidence Interval

CIs and confidence level

SE with less data

SE with different p

The approximation shortcut

CI via approximation

Methods compared

Inference for a single parameter

This chapter dives deeper into performing hypothesis tests and creating confidence intervals for a single parameter. Then, you'll learn how to perform inference on a difference between two proportions. Finally, this chapter wraps up with an exploration of what happens when you know the null hypothesis is true.

Hypothesis test for a proportion

Life after death

Generating from H0

Testing a claim

Making a decision

Intervals for differences

Death penalty and sex

Hypothesis test on the difference in proportions

Interpreting the test

Hypothesis tests and confidence intervals

Statistical errors

When the null is true

When the null is true: decision

Proportions: testing and power

This part of the course will teach you how to use both resampling methods and classical methods to test for the indepence of two categorical variables. This chapter covers how to perform a Chi-squared test.

Contingentietabellen

Politiek en ruimtevaart

Contingentietabellen begrijpen

Van tidy naar tabel en terug

Chi-kwadraat-toetsstatistiek

Eén enkele gepermuteerde Chi-kwadraat

Twee nulverdelingen bouwen

Is de data consistent met het model?

Alternatieve methode: de chi-kwadraatverdeling

Voorwaarden controleren

De geografie van geluk

Een p-waarde op twee manieren

Intervals voor de chi-kwadraatverdeling

Comparing many parameters: independence

The course wraps up with two case studies using election data. Here, you'll learn how to use a Chi-squared test to check goodness-of-fit. You'll study election results from Iran and Iowa and test if Benford's law applies to these datasets.

Case study: election fraud

Getting to know the Iran data

Who won?

Breaking it down by province

Extracting the first digit I

Goodness of fit

Goodness of fit test

A p-value, two ways

Is this evidence of fraud?

And now to US

Getting to know the Iowa data

Extracting the first digit II

Testing Iowa

Fraud in Iowa?

Election fraud in Iran and Iowa: debrief

Comparing many parameters: goodness of fit

GSS data

Iowa election data

Iran election data

Categorische gegevens zijn overal. Ze zitten in de nieuwste peilingscijfers, in de data die leiden tot nieuwe doorbraken in de genomica, en in de bergen gegevens die internetbedrijven verzamelen om je producten te verkopen. In deze cursus leer je technieken om het signaal van de ruis te scheiden; hulpmiddelen om te bepalen wanneer structuur in deze data interessante verschijnselen weerspiegelt en wanneer het slechts willekeurige ruis is.

Foundations of Inference in R

In deze cursus leer je statistische technieken gebruiken voor categorische data.

Inferentie voor categorische gegevens in R

In deze cursus leer je hoe je statistische technieken kunt gebruiken voor het werken met categorische gegevens.

Statistische conclusies in R

Assistant Professor of Statistics at Reed College

Intervallen voor de chi-kwadraatverdeling

Klassieke inferentie

Laten we oefenen!

Comparing many parameters: independence - Intervals voor de chi-kwadraatverdeling

Intervals voor de chi-kwadraatverdeling

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