Methoden vergelijken
Bekijk de geselecteerde methoden naast elkaar; rijen die verschillen zijn gemarkeerd.
| Bayesiaanse ANOVA× | Markov Chain Monte Carlo (MCMC)× | Gewone Kleinste Kwadraten (GKK) Regressie× | |
|---|---|---|---|
| Vakgebied≠ | Bayesiaanse statistiek | Bayesiaanse statistiek | Econometrie |
| Familie≠ | Bayesian methods | Bayesian methods | Regression model |
| Jaar van ontstaan≠ | 2012 | — | 2019 |
| Grondlegger≠ | Rouder, Morey, Speckman & Province | — | Wooldridge (textbook treatment); classical least squares |
| Type≠ | Bayesian hypothesis test / group comparison | Posterior sampling algorithm | Linear regression |
| Oorspronkelijke bron≠ | Rouder, J. N., Morey, R. D., Speckman, P. L. & Province, J. M. (2012). Default Bayes Factors for ANOVA Designs. Journal of Mathematical Psychology, 56(5), 356–374. DOI ↗ | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Aliassen≠ | bayesian analysis of variance, bayes factor ANOVA, JZS ANOVA, Bayesçi ANOVA — Bayes Faktörü ile Grup Karşılaştırması | markov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo) | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Verwant≠ | 4 | 3 | 5 |
| Samenvatting≠ | Bayesian ANOVA, formalised by Rouder, Morey, Speckman and Province (2012), tests whether group means differ by quantifying the evidence for the alternative hypothesis relative to the null using the Bayes Factor (BF₁₀). Unlike classical ANOVA, it can also measure evidence in favour of the null hypothesis, making it equally informative when groups do not differ. | Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model. | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). |
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