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مدل اثرات مختلط (یا مدل خطی مختلط) رگرسیون معمولی را با گنجاندن هر دو اثرات ثابت×تحلیل واریانس یک‌طرفه×ANOVA با اندازه‌گیری‌های مکرر×
حوزهآمارآمارآمار
خانوادهRegression modelHypothesis testHypothesis test
سال پیدایش198219251992
پدیدآورLaird & WareRonald A. FisherGirden (textbook treatment); Field (2013)
نوعMixed effects regressionParametric mean comparisonParametric within-subjects mean comparison
منبع بنیادینLaird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38(4), 963–974. DOI ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics (4th ed., Ch. 14). SAGE. ISBN: 978-1446249185
نام‌های دیگرLME, LMM, mixed model, random effects modelone-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVAwithin-subjects ANOVA, repeated measures analysis of variance, rm-ANOVA, Tekrarlı Ölçüm ANOVA
مرتبط444
خلاصهA mixed effects model (or linear mixed model) extends ordinary regression by including both fixed effects — population-level parameters shared by all observations — and random effects that capture subject-, group-, or cluster-level variability. It is the standard tool for repeated-measures, longitudinal, and multilevel data where observations within the same unit are correlated.One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.Repeated-measures ANOVA is a parametric hypothesis test that compares three or more measurements taken from the same individuals — typically across time points or conditions — to decide whether their means differ. It extends one-way ANOVA to within-subjects designs, as treated in standard references such as Girden (1992) and Field (2013).
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ScholarGateمقایسهٔ روش‌ها: Mixed Effects Model · One-way ANOVA · Repeated-measures ANOVA. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare