• 한국통계학회:학술대회논문집
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• 한국통계학회 2002년도 춘계 학술발표회 논문집
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• pp.171-174
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• 2002

In this paper, diallel crosses block designs for control versus test comparisons among the lines are proposed. These designs are constructed by using partially balanced incomplete block designs with C-properties. Also, the efficiencies of the diallel crosses block designs obtained through this method are tabulated for number of lines 24 or less.

• Communications for Statistical Applications and Methods
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• 제12권1호
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• pp.181-189
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• 2005

This paper suggest a method of inclusion probability proportional to size sampling that provides a non-negative and stable variance estimator. The sampling procedure is quite simple and flexible since a sampling design is easily obtained using mathematical programming. This scheme appears to be preferable to Nigam, Kumar and Gupta's (1984) method which uses a balanced incomplete block designs. A comparison is made with their method through an example in the literature.

• Journal of the Korean Data and Information Science Society
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• 제13권2호
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• pp.175-184
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• 2002

In this paper, diallel crosses block designs for control versus test comparisons among the lines are proposed. These block designs are constructed by using partially balanced incomplete block designs with C-properties. Also, the efficiencies of the diallel crosses block designs obtained through this method are tabulated for number of lines 22 or less.

• Communications for Statistical Applications and Methods
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• 제9권1호
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• pp.53-61
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• 2002

In this paper we proposed the method of the block designs for diallel crosses when inbred lines are divided into two groups. These block designs are derived by using kornecker product designs with two balanced incomplete block designs, and their efficiency factor evaluated. A table of diallel crosses for up to p$_1$$\leq$15 lines, p$_2$$\leq$15 lines in each set is also provided.

• Journal of the Korean Data and Information Science Society
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• 제26권2호
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• pp.347-354
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• 2015

본 논문은 균형불완비블럭설계 (balanced incomplete block design)의 자료분석에 사영을 이용한 블럭내 분석 (intrablock analysis)방법을 다루고 있다. 블럭내 분석을 위해 단계별 방법 (stepwise procedure)에서 유도되는 분석모형을 이용하고 있다. 단계별 방법의 적용으로 인해 모형행렬로 주어지는 사영공간이 변동요인에 따른 부분공간들로 직교분할됨을 보여주고 있다. 단계별 과정에서 변동요인에 따른 변동량을 구하기 위해 해당하는 효과벡터의 계수행렬에 근거한 사영의 구조적 형태를 기술하고 있으며 상호직교하는 부분공간으로의 사영을 이용하여 블럭효과에 적합된 처리효과의 변동량를 구하는 과정을 구체적으로 다루고 있다. 또한, 사영에 의해 처리효과를 구하는 과정을 제시하고 있으며 단계별로 잔차벡터를 이용하여 모형설정하는 방법과 고유벡터에 의한 추정가능함수의 구성과 추정가능성을 논의하고 있다.

• 응용통계연구
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• 제3권2호
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• pp.55-77
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• 1990

지금까지의 단일 block size를 전제로 한 E-optimal block design들을 다수 block size로 확 장하는 문제를 종합 정리하고(Lee & Jacroux(1987) 참조), 이를 토대로 기존의 단일 block size를 갖는 block design의 table들을 이용하여 여러 block size의 종류들 중에서 우선 실용 도가 가장 높은 경우인 두 가지 상이한 block size를 갖는 새로운 E-optimal block design의 table을 제작하였음.

• Journal of the Korean Statistical Society
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• 제15권2호
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• pp.118-126
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• 1986

The relationships between combined estimators and generalized least squares estimators in block designs are reviewed. Here combined estimators mean the best linear combination of intrablock and interblock estimaters. It is well known that only for balanced incomplete block designs the combined estimators of Yates and of the generalized least squares estimators give the same result. In this paper, a general form of the combined estimators for treatment effects is derived and it can be seen that such estimators are equivalent to the generalized least squares estimators.

• Journal of the Korean Data and Information Science Society
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• 제1권
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• pp.7-33
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• 1990

Bechhofer and Tamhane(1981) developed a theory of optimal incomplete block designs for comparing several treatments with a control. This class of designs is appropriate for comparing simultaneously $p{\geq}2$ test treatments with a control treatment (the so-called multiple comparisons with a control (MCC) problem) when the observations are taken in incomplete blocks of common size $K{\<}p+1$. In this paper we want to extend to partially BTIB designs with two associate classes for the MCC problem. We propose a new class of incomplete block designs that are partially balanced with respect to test treatments. Because the class of designs that we consider is larger than the class of designs in Bechhofer and Tamhane and provides us with designs that improve on the optimal designs in their class. We shall use the abbreviation PBTIB to refer to such designs. We study their structure and give some methods of construction. Also we describe a procedure for making exact joint confidence statements for the MCC problem in PBTIB Designs with two associate classes. We study Optimality, Admissibility considerations in PBTIB designs with two associate classes.

• 응용통계연구
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• 제28권2호
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• pp.151-158
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• 2015

본 논문은 균형불완비블록설계(balanced incomplete block design)에서 사영에 근거한 블록내(intrablock) 분석과 블록간(interblock) 분석을 다루고 있다. 블록간 분석을 위한 행렬모형을 제시하고 블록간 추정벡터를 구하는 방법을 다루고 있다. 처리효과의 블록내 추정벡터와 블록간 추정벡터의 분산공분산행렬을 규명하고 공분산행렬의 구조적 특성으로 두 추정벡터 간에 상관성이 없음을 보여주고 있다. 처리효과의 상관성없는 두 추정벡터를 이용한 결합추정에서 가중치를 구하는 방법으로 공분산행렬을 이용할 수 있음을 다루고 있다. 또한 처리효과에 적합된 블록변동량의 계산은 상수적합법을 이용한 블록제곱합과 일치함을 보여주고 있다.

• Journal of the Korean Statistical Society
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• 제3권2호
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• pp.85-101
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• 1974

In a Balanced Factorial Experiments (BFE) with n factors $F_1, F_2,\cdots,F_n$ at $m_1, m_2,\cdots,m_n$ levels respectively, Shah [15] has considered the following association scheme: the two treatments are the $(P_1, P_2,\cdot,P_n)$th associates, where $p_i=1$ if the ith factor occurs at the same level in both treatments and $p_i=0$ otherwise; $\lambda_{(p_1,p_2,\cdots,p_n)}$ will denote the number of times these treatments occur together in a block. He has showed that a BFE is partially Blanced Incomplete Block(PBIB) design with repsect to the above association scheme. Kurjian and Zelan [6] have proved that factorial designs possessing a Property A (a particular structure for their matrix NN') are factorially balanced.