@incollection{,
	
					
					
					F2A7BF878772C819ED9C1E6D1C967534
				,
	author={{JaesungChoi} and {Keimyung Univerity}},
	journal={{Global Journal of Science Frontier Research}},
	journal={{GJSFR}}2249-46260975-589610.34257/GJSFR,
	address={Cambridge, United States},
	publisher={Global Journals Organisation}2323137
}

@book{b0,
	
	
		,
	title={{Linear models}}
		,
	author={{
			SRSearle
		}}
		
	

}

@book{b1,
	
	
		,
	title={{}}
		,
	author={{
			JohnWiley
		} and {
			Sons
		}}
		
		
			,
	year={1971}
			,
	address={New York, USA}
		
	

}

@book{b2,
	
	
		,
	title={{Theory and Application of the Linear Model}}
		,
	author={{
			FAGraybill
		}}
		
	

}

@book{b3,
	
	
		,
	title={{Notes Decomposition of the Random Error Vector of a General Linear Model}}
		,
	author={{
			Wadsworth
		}}
		
			,
	year={1976}
			,
	address={Belmont, CA, USA}
		
	

}

@book{b4,
	
	
		,
	title={{Linear Statistical Models}}
		,
	author={{
			JHStapleton
		}}
		
	

}

@book{b5,
	
	
		,
	title={{}}
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	author={{
			JohnWiley
		} and {
			Sons
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			,
	year={1995}
			,
	address={New York, USA}
		
	

}

@book{b6,
	
	
		,
	title={{Applied Regression Analysis}}
		,
	author={{
			NRDraper
		} and {
			HSmith
		}}
		
		
	

}

@book{b7,
	
	
		,
	title={{}}
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	author={{
			JohnWiley
		} and {
			Sons
		}}
		
		
			,
	year={1981}
			,
	address={New York, USA}
		
	

}

@book{b8,
	
	
		,
	title={{Matrices with Applications in Statistics}}
		,
	author={{
			FAGraybill
		}}
		
			,
	year={1983}
			,
	address={Wadsworth; Belmont, CA, USA}
		
	

}

@book{b9,
	
	
		,
	title={{Applied multivariate statistical analysis}}
		,
	author={{
			DWJohnson
		} and {
			RAWichern
		}}
		
		
			,
	year={2014}
			,
	publisher={Prentice hall}
			,
	address={Upper Saddle River, NJ, USA}
		
	

}

@book{b10,
	
	
		,
	title={{Analysis of messy data volume 1: designed experiments}}
		,
	author={{
			GAMilliken
		} and {
			DEJohnson
		}}
		
		
			,
	year={1984}
			,
	publisher={Van Nostrand Reinhold}
			,
	address={New York, USA}
		
	

}

@incollection{b11,
	
	
		,
	title={{Inference about variance components in the one-way model}}
		,
	author={{
			BMHill
		}}
	
	
		,
	journal={{J. Am. Stat. Assoc}}
		
			60
			
			,
	year={1965}
		
	

}

@book{b12,
	
	
		,
	title={{Variance components}}
		,
	author={{
			SRSearle
		} and {
			GCasella
		} and {
			CEMcculloch
		}}
		
		
		
	

}

@incollection{b13,
	
	
		,
	title={{Nonnegative estimates of variance components in a two-way random model}}
		,
	author={{
			JChoi
		}}
	
	
		,
	booktitle={{Communications for Statistical Applications and 127 Methods}}
				
			,
	year={2019}
			26
			
		
	

}

@incollection{b14,
	
	
		,
	title={{Nonnegative variance component estimation for mixed-effects models}}
		,
	author={{
			JChoi
		}}
	
	
		,
	journal={{Communications for Statistical Applications and Methods}}
		
			27
			
			,
	year={2020}
		
	

}

@book{b15,
	
	
		,
	title={{Nonnegative estimation of variance components for a nested three-way random model. symmetry 2022}}
		,
	author={{
			JChoi
		}}
		10.3390/sym14061210
		
		
			14
			1210
		
	

}

@book{b16,
	
	
		,
	title={{An introduction to statistical models in geology}}
		,
	author={{
			WCKrumbein
		} and {
			FAGraybill
		}}
		
		
	

}

@book{b17,
	
	
		,
	title={{}}
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	author={{
			Mcgraw-Hill
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			,
	year={1965}
			,
	address={New York, USA}
		
	

}

@book{b18,
	
	
		,
	title={{Negative estimates of variance components: an introduction; Bulletin, International Institute of Statistics}}
		,
	author={{
			WAThompson
		}}
		
			,
	year={1961}
			34
			
		
	

}

@incollection{b19,
	
	
		,
	title={{The problem of negative estimates of variance components}}
		,
	author={{
			WAThompson
		}}
	
	
		,
	journal={{Ann.Math.Stat}}
		
			33
			
			,
	year={1962}
		
	

}

@incollection{b20,
	
	
		,
	title={{Non-negative estimates of variance components}}
		,
	author={{
			WAThompson
		} and {
			JRMoore
		}}
		
	
	
		,
	journal={{Technometrics}}
		
			5
			
			,
	year={1963}
		
	

}

@book{b21,
	
	
		,
	title={{The interpretation of negative components of variance}}
		,
	author={{
			JANelder
		}}
		
			,
	year={Biometrika1954, 41}
			
		
	

}

@incollection{b22,
	
	
		,
	title={{Estimation of variance and covariance components}}
		,
	author={{
			CRHenderson
		}}
	
	
		,
	journal={{Biometrics}}
		
			9
			
			,
	year={1953}
		
	

}

@incollection{b23,
	
	
		,
	title={{Expectations, variances and covariances of ANOVA means squares by "synthesis}}
		,
	author={{
			HOHartley
		}}
	
	
		,
	journal={{Biometrics}}
		
			23
			
			,
	year={1967}
		
	

}

@incollection{b24,
	
	
		,
	title={{An approximate distribution of estimates of variance components}}
		,
	author={{
			FESatterthwaite
		}}
	
	
		,
	journal={{Biometrics Bulletin}}
		
			2
			
			,
	year={1946}
		
	

}