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Mechanismen voor ontbrekende gegevens: MCAR, MAR en MNAR×EM-algoritme×MICE×
VakgebiedStatistiekStatistiekStatistiek
FamilieProcess / pipelineMachine learningProcess / pipeline
Jaar van ontstaan197619772011
GrondleggerDonald RubinDempster, Laird & RubinStef van Buuren & Karin Groothuis-Oudshoorn
TypeDiagnostic / classification frameworkIterative optimization algorithmIterative multiple imputation algorithm
Oorspronkelijke bronRubin, D. B. (1976). Inference and missing data. Biometrika, 63(3), 581–592. DOI ↗Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. Journal of the Royal Statistical Society: Series B, 39(1), 1–38. DOI ↗van Buuren, S., & Groothuis-Oudshoorn, K. (2011). mice: Multivariate imputation by chained equations in R. Journal of Statistical Software, 45(3), 1–67. DOI ↗
AliassenMissing Data Typology, Rubin's Missing Data Framework, Missingness Mechanisms, Kayıp Veri MekanizmalarıEM, Expectation-Maximization, Maximum Likelihood via Incomplete Data, BM AlgoritmasıFully Conditional Specification, Sequential Regression Multivariate Imputation, Chained Equations Imputation, Zincirleme Denklemlerle Çoklu Atama
Verwant323
SamenvattingMissing data mechanisms, introduced by Donald Rubin in 1976, provide a formal taxonomy for classifying why observations are absent from a dataset. The three categories — Missing Completely At Random (MCAR), Missing At Random (MAR), and Missing Not At Random (MNAR) — describe the relationship between the probability of missingness and the observed or unobserved values. Identifying the correct mechanism is essential because it determines which analytical strategies preserve valid and unbiased inference.The Expectation-Maximization (EM) algorithm is an iterative optimization procedure for finding maximum likelihood or maximum a posteriori estimates of parameters in statistical models with latent variables or missing data. Introduced by Dempster, Laird, and Rubin in their landmark 1977 paper, EM alternates between computing the expected complete-data log-likelihood (E-step) and maximizing it with respect to the parameters (M-step), guaranteeing monotone non-decreasing likelihood at each iteration.Multivariate Imputation by Chained Equations (MICE) is an iterative procedure for handling missing data in multivariate datasets. Introduced by Stef van Buuren and Karin Groothuis-Oudshoorn through the R package mice (2011), the algorithm fills each missing variable using a separate regression model conditioned on all other variables, cycling through variables repeatedly until the imputed values converge. The result is m completed datasets that are analysed separately and combined using Rubin's rules.
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ScholarGateMethoden vergelijken: Missing Data Mechanisms · EM Algorithm · MICE. Geraadpleegd op 2026-06-15 via https://scholargate.app/nl/compare