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طرح آزمایشی اسپلیت-پلات (Split-Plot Experimental Design)×مدل‌سازی خطی سلسله‌مراتبی (HLM / مدل‌سازی چندسطحی)×
حوزهطراحی آزمایشآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19351986
پدیدآورFrank YatesRaudenbush & Bryk (popularized); Goldstein (parallel development)
نوعParametric mixed-model ANOVAParametric nested-data regression
منبع بنیادینYates, F. (1935). Complex Experiments. Supplement to the Journal of the Royal Statistical Society, 2(2), 181–247. DOI ↗Raudenbush, S.W. & Bryk, A.S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage. ISBN: 978-0761919049
نام‌های دیگرsplit-plot ANOVA, whole-plot sub-plot design, Bölünmüş Parsel Deseni (Split-Plot)HLM, MLM, multilevel modeling, multilevel analysis
مرتبط64
خلاصهThe split-plot design is a parametric experimental design that applies one factor to large whole plots and a second factor to subdivisions (sub-plots) within each whole plot. It was introduced by Frank Yates in 1935 to handle agricultural experiments where one factor — such as irrigation or tillage method — is difficult or impractical to change frequently, while a second factor can be varied more easily within the same plot.Hierarchical Linear Modeling (HLM), also known as Multilevel Modeling (MLM), is a parametric statistical method for analyzing nested or clustered data — for example students within classrooms, patients within hospitals, or employees within organizations. Formalized by Raudenbush and Bryk in their 2002 seminal text (building on work from the mid-1980s), HLM simultaneously estimates individual-level and group-level effects while correctly partitioning variance across levels.
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ScholarGateمقایسهٔ روش‌ها: Split-Plot Design · Hierarchical Linear Modeling. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare