• Journal of the Korean Statistical Society
• /
• 제8권2호
• /
• pp.125-130
• /
• 1979

It is well known that $L_2(m)$ type PBIB designs have the Property A, so they are BNAS PBIB designs. However, $L_3(m)$ type PBIB designs are not of type of Property A but do have the factorial structure (Cotter, John, and Smith(1973)). In this paper, the properties of the $L_3(m)$ type PBIB designs are investigated. Extended Property A and fractional BNAS are defined and a solution formula for the treatment effects in the $L_32(m)$ type designs is obtained.

• 응용통계연구
• /
• 제12권1호
• /
• pp.253-260
• /
• 1999

이어진 블록계획 중에서 대칭 균형된 불완비 블록계획(Symmetrical Balanced Incomplete Block Design : SBIBD)을 이용하여 n-ary를 블록 완전이면교배(Complete Diallel Cross : CDC)계획을 설계하였다. 처리 수와 반복 수가 고정된 경우, 이렇게 설계된 계획이 균형된 불완비 블록계획을 이용해서 설계한 계획들 중에서 가장 효율이 높은 계획임을 보인다.

• 통합자연과학논문집
• /
• 제5권2호
• /
• pp.135-138
• /
• 2012

The reduction of efficiency of missing observations on complete diallel cross designs are examined. we studies robustness of optimal block designs for estimating general combining ability against loss of missing observations in diallel cross. A-efficiencies suggest that these designs are fairly robust. Simple g-inverses may be found for the information matrices of the line effects which allow evaluation of expressions for the variances of the differences between the pairs of line effects with missing observations. we numerically calculate the reduction of efficiency for estimating general combining ability against loss of missing observations in diallel cross.

• Journal of the Korean Statistical Society
• /
• 제35권2호
• /
• pp.179-192
• /
• 2006

In this paper, a new method of modified second order slope rotatable designs (SOSRD) using balanced incomplete block designs (BIBD) for $4{\le}v{\le}16$ is presented. In this method the number of design points required is in some cases less than the number required in Victorbabu (2305) modified slope rotatable central composite designs. Further, a new method of construction of three level modified SOSRD using BIBD is presented. The modified SOSRD can be viewed as SOSRD constructed with the technique of augmentation of second order rotatable design (SORD) using BIBD to SOSRD. These designs are useful in parts to estimate responses and slopes with spherical variance functions.

• Journal of the Korean Data and Information Science Society
• /
• 제3권1호
• /
• pp.47-63
• /
• 1992

Bechhofer and Tamhane(1981) proposed Balanced Treatment Incomplete Block (BTIB) desings for comparing p test treatments with a control treatment in blocks of size ${\kappa}$. Notz and Tamhane(1983) solved the problem about determination of the minimal complete class for ${\kappa}=3$. However there are a number of design parameters for which BTIB designs do not exist. We suggest a new class of designs called Group Divisible Treatment Desings(GDTD's) that is a larger class including BTIB designs as a subclass. In this paper we give the minimal complete classes of generator designs for GDTD's with ${\kappa}=2,\;p{\geq}4(except\;prime\;number)\;and\;{\kappa}=3,\;p=4(2)6$.

• 한국데이터정보과학회:학술대회논문집
• /
• 한국데이터정보과학회 2006년도 PROCEEDINGS OF JOINT CONFERENCEOF KDISS AND KDAS
• /
• pp.121-129
• /
• 2006

Two color or cDNA microarrays are extensively used to study relative expression levels of thousands of genes simultaneously. 0かy two tissue samples can be hybridized on a single microarray slide. Thus, a microarray slide necessarily forms an incomplete block design with block size two when more than two tissue samples are under study. We also need to control for variability in gene expression values due to the two dyes. Thus, red and green dyes form the second blocking factor in addition to slides. General design problem for these microarray experiments is discussed in this paper. Designs for factorial cDNA microarrays are also discussed.

• Journal of the Korean Statistical Society
• /
• 제19권1호
• /
• pp.88-92
• /
• 1990

In the problem of the recovery of interblock information in balanced incomplete block designs(BIBD), it is well known that a truncated estimator dominates the untruncated estimator under mean squared error loss. This paper shows that the domination result holds universally for every nondecreasing loss function.

• 응용통계연구
• /
• 제24권5호
• /
• pp.893-904
• /
• 2011

실험계획법의 강의내용은 크게 두 개의 파트인 실험계획과 모형분석으로 대별되는데 시각화 작업은 주로 모형분석 중심으로 이루어져 왔다. 실험계획법의 강의내용에 대한 시각화 작업의 일환으로 우리는 실험계획의 시각화를 라틴 방격법의 시각화, 초포화계획법의 시각화, 불완비블럭계획법의 시각화로 나누어 고려하여 볼 수 있다. 실험계획을 시각화하는 작업을 위하여 우리는 계획그림을 제안 할 수 있고 기존의 산점도나 산점도행렬을 사용할 수 있다. 이러한 실험계획의 시각화를 통하여 우리는 이론 중심의 실험계획법 강의에 그림들을 삽입함으로써 실험계획법 수업에서의 시너지효과를 얻을 수 있다.

• 품질경영학회지
• /
• 제44권4호
• /
• pp.799-811
• /
• 2016

Purpose: The conjoint analyst in marketing are interested in detecting whether there exist synergy or antagonistic effects between two attributes. In the cases where attributes have two or three levels, we research on the design of survey questionnaire to estimate all the main effect and as many two factor interaction effects as possible. Methods: We consider the balanced incomplete block (BIB) mixed level factorial design $2^f{\times}3^g$ or fractional factorial design. To reduce the number of questions in a questionnaire, we propose the balanced incomplete block mixed level design with minimum aberration which is generated by implementing proc factex in SAS. Also, we propose using two or three level BIB factorial design instead of mixed level designs by transforming three level attributes into two attributes of two levels and two level attribute into three level attribute by using dummy level technique. Results: We propose three methods for designing survey questionnaire where the block and design generators are found with practical number of questions in a questionnaire. By analyzing all the respondents survey data generated by the simulation study, we find the proper model and do the concepts optimization. Conclusion: The proposed methods of designing survey questionnaires seem to perform well in the sense that the proper model, and then the optimal concept is found in a case study where all the respondents survey data are generated by the simulation study.

• 한국전자통신학회논문지
• /
• 제4권4호
• /
• pp.265-269
• /
• 2009

다자간 회의용키 협의는 제3의 신뢰기관 없이 다수의 구성원 참여에 의해 회의용 세션키를 생성함으로 말한다. 이 논문에서는 SBIBD(symmetric balanced incomplete block design)를 이용한 효율적인 회의용 키협의 프로토콜을 제안한다. 제안된 방식은 회의 참여자간 교환하는 메시지의 양과 메시지 교환 횟수를 최소화하고 각 참여자가 균등한 메시지 오버헤드를 갖도록 한다. 제안된 프로토콜에서는 v명의 참여자가 있고 각 참여자 i가 생성한 랜덤 넘버가$R_i$라고 할 때 Diffe-Helman의 세션키 생성법을 변형한${\prod}_{i=0}^{v-1}R_i$ 형태의 키를 생성하게 된다. 이 때 메시지 교환횟수는 3회, 메시지 오버헤드는 $O(v{\sqrt{v}})$이 된다. 또한 이 프로토콜은 이산대수문제에 근거하여 안전성을 보장한다.