Regressies en ANOVA's vergelijken

In de vorige oefening heb je een regressiemodel gebouwd. Twee manieren voor statistische inferentie zijn: kijken naar de hoeveelheid variantie die door coëfficiënten in het model wordt verklaard (een ANOVA-achtige analyse) en het gebruik van lineaire voorspellers om de data te modelleren (een regressiekader). De keuze hiertussen hangt grotendeels af van persoonlijke voorkeur en statistische achtergrond. Beide benaderingen kunnen met frequentistische of Bayesiaanse methoden worden uitgevoerd. Hoewel deze cursus alleen frequentistische methoden gebruikt, gelden dezelfde ideeën ook voor Bayesiaanse modellen.

Het model lmer_out dat je in de vorige oefening hebt gebouwd, is voor je geladen. Eerst voer je een anova() uit om te zien of group een significant deel van de variabiliteit verklaart. Daarna bekijk je de regressiecoëfficiënt van group om te zien of die significant verschilt van nul.

Deze oefening maakt deel uit van de cursus

Hiërarchische en Mixed-Effects-modellen in R

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# Run an anova() on lmer_out
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Deze oefening maakt deel uit van de cursus

Hiërarchische en Mixed-Effects-modellen in R

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4.7+

Begin de cursus gratis

The first chapter provides an example of when to use a mixed-effect and also describes the parts of a regression. The chapter also examines a student test-score dataset with a nested structure to demonstrate mixed-effects.

Exercise 1: What is a hierarchical model?Exercise 2: Examples of hierarchical datasets Exercise 3: Multi-level student data Exercise 4: Exploring multiple-levels: Classrooms and schools Exercise 5: Parts of a regression Exercise 6: Intercepts Exercise 7: Slopes and multiple regression Exercise 8: Random-effects in regressions with school data Exercise 9: Random-effect intercepts Exercise 10: Random-effect slopes Exercise 11: Building the school model Exercise 12: Interpreting the school model

This chapter providers an introduction to linear mixed-effects models. It covers different types of random-effects, describes how to understand the results for linear mixed-effects models, and goes over different methods for statistical inference with mixed-effects models using crime data from Maryland.

Exercise 1: Linear mixed effect model- Birth rates data Exercise 2: Building a lmer model with random effects Exercise 3: Including a fixed effect Exercise 4: Random-effect slopes Exercise 5: Uncorrelated random-effect slope Exercise 6: Fixed- and random-effect predictor Exercise 7: Understanding and reporting the outputs of a lmer Exercise 8: Comparing print and summary output Exercise 9: Extracting coefficients Exercise 10: Displaying the results from a lmer model Exercise 11: Statistical inference with Maryland crime data Exercise 12: Visualizing Maryland crime data Exercise 13: Rescaling slopes Exercise 14: Null hypothesis testing Exercise 15: Controversies around P-values Exercise 16: Model comparison with ANOVA

This chapter extends linear mixed-effects models to include non-normal error terms using generalized linear mixed-effects models. By altering the model to include a non-normal error term, you are able to model more kinds of data with non-linear responses. After reviewing generalized linear models, the chapter examines binomial data and count data in the context of mixed-effects models.

Exercise 1: Crash course on GLMs Exercise 2: Logistic regression Exercise 3: Poisson Regression Exercise 4: Plotting GLMs Exercise 5: Binomial data Exercise 6: Toxicology data Exercise 7: Marketing example Exercise 8: Calculating odds-ratios Exercise 9: Count data Exercise 10: Internet click-throughs Exercise 11: Chlamydia by age-group and county Exercise 12: Displaying chlamydia results

This chapter shows how repeated-measures analysis is a special case of mixed-effect modeling. The chapter begins by reviewing paired t-tests and repeated measures ANOVA. Next, the chapter uses a linear mixed-effect model to examine sleep study data. Lastly, the chapter uses a generalized linear mixed-effect model to examine hate crime data from New York state through time.

Exercise 1: Een introductie tot herhaalde metingen Exercise 2: Gepaard t‑toets Exercise 3: Repeated measures ANOVA Exercise 4: Slaapstudie Exercise 5: De data verkennen Exercise 6: Modellen bouwen Exercise 7: Regressies en ANOVA's vergelijken

Huidige oefening

Exercise 8: Resultaten plotten Exercise 9: Haat in de staat NY?Exercise 10: NY-hategegevens verkennen Exercise 11: Het model bouwen Exercise 12: Modelresultaten interpreteren Exercise 13: De resultaten weergeven Exercise 14: Herhaling: hiërarchische modellen in R Exercise 15: Conclusie