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सामान्यीकृत न्यूनतम वर्ग (GLS)×Network Meta-Analysis×
क्षेत्रसांख्यिकीसाक्ष्य संश्लेषण
परिवारRegression modelProcess / pipeline
उद्भव वर्ष19352002
प्रवर्तकAlexander Craig AitkenLumley (2002)
प्रकारLinear estimatorMethod
मौलिक स्रोतAitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗Lumley, T. (2002). Network meta-analysis for indirect treatment comparisons. Statistics in Medicine, 21(16), 2313–2324. DOI ↗
उपनामGLS, Aitken estimator, EGLS, feasible GLSMixed Treatment Comparison, MTC, Indirect Comparison Meta-Analysis
संबंधित31
सारांशGeneralized Least Squares (GLS) is a linear regression estimator that extends ordinary least squares to handle situations where the error terms are correlated or have non-constant variance (heteroscedasticity). Introduced by Alexander Craig Aitken in 1935, GLS achieves the Best Linear Unbiased Estimator (BLUE) under a general error covariance structure by weighting observations according to their precision, providing a theoretical bridge between OLS and modern linear mixed models.Network meta-analysis (NMA) is a systematic method for comparing multiple interventions simultaneously within a single analytical framework, incorporating both direct evidence (head-to-head trials) and indirect evidence (comparisons via common comparators). First formalized by Lumley in 2002, NMA allows researchers to rank treatments and quantify comparative effectiveness even when some treatment pairs have never been directly studied.
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  1. v1
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