مقایسهٔ روش‌ها

	مکانیزم‌های داده‌های گمشده: MCAR، MAR و MNAR	چندگانه سازی
حوزه	آمار	آمار
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1976	1987
پدیدآور	Donald Rubin	Donald B. Rubin
نوع	Diagnostic / classification framework	Missing-data handling procedure
منبع بنیادین	Rubin, D. B. (1976). Inference and missing data. Biometrika, 63(3), 581–592.	Rubin, D.B. (1987). Multiple Imputation for Nonresponse in Surveys. Wiley.
نام‌های دیگر	Missing Data Typology, Rubin's Missing Data Framework, Missingness Mechanisms, Kayıp Veri Mekanizmaları	MICE, Multivariate Imputation by Chained Equations, Çoklu Atama (Multiple Imputation — MICE)
مرتبط	3	1
خلاصه	Missing 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.	Multiple Imputation (MI), formally introduced by Donald B. Rubin in 1987, is a principled statistical procedure for handling missing data. Rather than replacing each missing value once, MI fills the gaps m times — each time drawing plausible values from the posterior predictive distribution of the missing data — producing m complete datasets. Each dataset is analysed independently, and the results are combined into a single set of estimates using Rubin's pooling rules. The MICE variant (Multivariate Imputation by Chained Equations), popularised by van Buuren and Groothuis-Oudshoorn (2011), extends the approach to mixed variable types by imputing each variable in turn through a sequence of conditional regression models.