• 대한안전경영과학회:학술대회논문집
• /
• 대한안전경영과학회 2011년도 춘계학술대회
• /
• pp.487-493
• /
• 2011

The paper reviews three Split Plot Designs (SPDs) of fixed factors, and those are SPD (RCBD, RCBD), SPD (CRD, RCBD) and SBD (Split Block Design). RCBD (Randomized Complete Block Design) and CRD (Completely Randomized Design) are used to deploy whole plot and sub plot. The models explained in this study are derived from random, crossed and nested models.

• 대한안전경영과학회:학술대회논문집
• /
• 대한안전경영과학회 2011년도 춘계학술대회
• /
• pp.695-699
• /
• 2011

The study presents an efficient design method of Venn Diagram that can be used when implementing the quality design of experiments based on generalizability theory. The paper examines four mixed and combined models that are designed by fixed factor, random factor, crossed factor and nested factor. The models considered in this research are $A^*{\times}B^*{\times}C$, (B: $A^*$)${\times}C$, $A{\times}B{\times}C$ and (B: A)${\times}C$.

• 대한안전경영과학회지
• /
• 제12권1호
• /
• pp.199-205
• /
• 2010

The research proposes the three-factor random measurement models for estimating the precision about operator, part, tool, and various measurement environments. The combined model with crossed and nested factors is developed to analyze the approximate F test by degrees of freedom given by Satterthwaite and point estimation of precisions from expected mean square. The model developed in this paper can be extended to the three useful models according to the type of nested designs. The study also provides the three-step procedures to evaluate the measurement precisions using three indexes such as SNR(Signal-To-Noise Ratio), R&R TR(Reproducibility&Repeatability-To-Total Precision Ratio), and PTR(Precision-To-Tolerance Ratio), The procedures include the identification of resolution, the improvement of R&R reduction, and the evaluation of precision effect.

• Journal of the Korean Data and Information Science Society
• /
• 제19권4호
• /
• pp.1059-1071
• /
• 2008

In a balanced factorial design with a nested factor where crossed factors as well as a nested factor exist simultaneously, powers of the rank transformed FR statistic for testing the main, nested and interaction effects are superior to those of the parametric F statistic. In heavy tailed distributions such as exponential and double exponential distributions, powers of the FR statistic show much higher level than those of the F statistic. Further powers of the F and FR statistic for testing the main effect show the highest level in an absolute size as compared with powers of the F and FR statistic for testing the nested and interaction effects. However powers of the FR statistic for testing the nested and interaction effects rather than the main effect are greater in a relative size than powers of F statistic for the all population distributions.

• 대한안전경영과학회지
• /
• 제13권2호
• /
• pp.195-202
• /
• 2011

The study focuses on the Repeated Measurements Design (RMD) which observations are periodically made for identical subjects within definite time periods. One of the purposes of this design is to monitor and keep track of replicated records within regular period over years. This paper also presents the classification models of RMD that is developed according to the number of factors in Between-Subject (BS) variates and Within-Subject (WS) variates. The types of models belong to each number of factors: One factor is 0BS 1WS. Two factors are 1BS 1WS and 0BS 2WS. Three factors are 1BS 2WS and 2BS 1WS. Lastly, the four factors include model of 2BS 2WS In addition, the study explains the generation mechanism of models for RMD using Generalizability Design (GD). GD is a useful method for practitioners to identify linear model of experimental design, since it generates a Venn diagram. Lastly, the research develops three types of 1BS 2WS RMDs with crossed factors and nested factors. Those are random models, mixed models and fixed models and they are presented by using Generalizability Design, $(S:A{\times}B){\times}C$. Moreover, the example of applications and its implementation steps of models developed in the study are presented for better comprehension.

• 응용통계연구
• /
• 제28권5호
• /
• pp.1035-1046
• /
• 2015

분산성분모형은 다양한 임의 요인들이 반응변수에 미치는 영향을 선형식의 형태로 나타내는 매우 유용하고 널리 사용되는 통계적 모형이다. 분산성분모형은 요인의 배치나 관측 자료의 구조에 따라 크게 교차배치와 지분배치로 나누어진다. 본 논문은 분산성분모형에서 요인의 배치구조와 분산성분의 크기에 따라 모형선택법의 경험적인 성질이 다르게 나타나는 현상을 체계적인 모의실험을 통하여 제시하고자 한다. 이원배치 분산성분모형에서 정보기준에 근거한 모형선택법, 즉 BIC 또는 AIC를 사용하는 경우 요인의 배치구조와 분산성분의 크기에 따라 모형선택법의 경험적인 성질이 다르게 나타나는 현상을 소규모 모의실험을 통하여 보여준다. 모의실험 결과에서 모형선택법의 경험적 성질이 요인의 배치 설계에 따라 다르게 나타난다는 사실을 확인하였으며 특히 요인의 배치구조가 지분 설계구조일때 내포된 요인의 분산성분의 상대적인 크기가 커짐에 따라 자료를 생성하는 모형보다 작은 모형을 선택하는 경향이 있다는 것이 모의실험으로 확인되었다.