• Title/Summary/Keyword: Factorial structure

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A Study on the Statistical Structure and Additional Analysis of the 3-level Foldover Resolution IV Fractional Factorial Designs (3-수준계 Foldover Resolution IV 부분실험법의 통계적 구조 및 추가분석방법에 관한 연구)

  • Kim, Sang-Ik
    • Journal of Korean Society for Quality Management
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    • v.38 no.1
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    • pp.42-51
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    • 2010
  • For the fractional factorial designs, the resolution-IV designs can be used when we want to estimate the main effects and to investigate the structure of the non-negligible two-factor interaction effects, when the three-factor and higher order interaction effects are all negligible. However we need to add the additional treatment combinations in order to identify the influential interactions for the resolution-IV fractional factorial designs. In this paper we investigate the statistical structure for 3-level resolution-IV designs constructed by fold-over scheme and introduce a method for analyzing the influential two-factor interactions.

Some orthogonal factorial row-column designs (직교 요인 행-열 계획)

  • 박동권
    • The Korean Journal of Applied Statistics
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    • v.5 no.2
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    • pp.169-179
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    • 1992
  • It is shown that a structurally complete row-column design has orthogonal factorial structure if each of its component designs has orthogonal factorial structure. It implies that such designs are most easily constructed via the amalgamating of one-dimensional block designs which have orthogonal factorial structure. However, this does not always hold for structurally incomplete row-column designs. A structurally incomplete row-column design is derived from the design with adjusted orthogonality, by simply interchanging row and treatment numbers.

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On ORTHOGONALITY AND BALANCING IN GENERALIZED CYCLIC FACTORIAL EXPERIMENTS

  • Lee, U-Sun
    • Journal of the Korean Statistical Society
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    • v.21 no.1
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    • pp.80-86
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    • 1992
  • The concept of Balanced Factorial Experiment (BFE) was introduced by Shah (1958). The conditions for BFE were set up by Kurkjian and Zelen (1963) and Kshirsagar (1966). Generalized Cyclic Factorial Experiment (GCFE), which is more wide class of designs than BFE, do not satisfy the condition of BFE. So all contrasts belonging to the same interaction are not estimated with equal variance. The main purpose of this paper is to show that GCFE have orthogonal factorial structure and the scheme of the size of variances for all normalized contrasts in GCFE is similar to the original intra-block association scheme.

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A Study on the Sequential Analysis of Resolution IV $3^t$ Fractional Factorial Designs (Resolution IV $3^t$ 요인부분실험법의 축차 분석방법에 관한 연구)

  • Kim, Sang-Ik
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2010.04a
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    • pp.129-138
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    • 2010
  • For the fractional factorial designs, the resolution-IV designs can be used when we want to estimate the main effects and to investigate the structure of the non-negligible two-factor interaction effects, when the three-factor and higher order interaction effects are all negligible. However we need to add the additional treatment combination in order to identify the influential interactions for the resolution-IV fracrtional factorial designs. In this paper we investigate the statistical structure for 3-level resolution-IV designs constructed by fold-over scheme and introduce a method for analyzing the influential two-factor interactions.

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Testing on the Existence of Interaction Effects in $3^t$ Resolution IV Factorial Experiments (Resolution IV $3^t$요인실험법에서 교호작용 효과의 존재에 대한 검정 방법 연구)

  • 김상익
    • Journal of Korean Society for Quality Management
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    • v.28 no.3
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    • pp.59-67
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    • 2000
  • In analysis of resolution IV fractional factorial experiments, the main effects only are analyzed, even though we can get some useful information on the confounded 2-factor interactions. In this paper, we introduce an exploiting method of the confounded structure of interactions, especially for the near minimal resolution IV 3$^{t}$ fractional factorial designs developed by Anderson and Thomas (1979). Moreover, in this paper the application way of the proposed method is also discussed by analyzing some simulated data.

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THE CHOW RINGS FOR 3-DIMENSIONAL TORIC VARIETIES WITH ONE BAK ISOLATED SINGULARITY

  • Park, Hye-Sook
    • Journal of applied mathematics & informatics
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    • v.3 no.1
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    • pp.65-78
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    • 1996
  • The properties of a toric variety have strong connection with the combinatorial structure of the corresponding fan and the rela-tions among the generators. Using this fact we have described explic-itly the Chow ring for a Q-factorial toric variety as the Stanley-Reisner ring for the corresponding fan modulo the linear equivalence relation. In this paper we calculate the Chow ring for 3-dimensional Q-factorial toric varieties having one bad isolated singularity.

Localization and a Distributed Local Optimal Solution Algorithm for a Class of Multi-Agent Markov Decision Processes

  • Chang, Hyeong-Soo
    • International Journal of Control, Automation, and Systems
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    • v.1 no.3
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    • pp.358-367
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    • 2003
  • We consider discrete-time factorial Markov Decision Processes (MDPs) in multiple decision-makers environment for infinite horizon average reward criterion with a general joint reward structure but a factorial joint state transition structure. We introduce the "localization" concept that a global MDP is localized for each agent such that each agent needs to consider a local MDP defined only with its own state and action spaces. Based on that, we present a gradient-ascent like iterative distributed algorithm that converges to a local optimal solution of the global MDP. The solution is an autonomous joint policy in that each agent's decision is based on only its local state.cal state.

Evaluation of Athletic Performance for Taekwondo Players by Physical Fitness Components (태권도선수들의 체력요인에 의한 경기력 결정요인 평가)

  • Kim Chang-Mo;Lee Ki-Jeong
    • Proceedings of the Korea Contents Association Conference
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    • 2005.11a
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    • pp.247-253
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    • 2005
  • In this paper, I was undertaken to identify factorial structure of physical fitness components for male high school Taekwondo players. In order to accomplish this purpose, the selected 8 physical fitness test were conducted to 50 male high school Taekwondo players. For the concretely, this study was conducted to physical fitness battery was grip strength, vertical jump, standing trunk flexion, sit-ups, closed eyes foot balance, 10m shuttle run, 50m run, and 1600m run. Factor analysis was applied for analyzing factorial structure of each physical fitness components.

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Anthropometry for Clothing Construction and the Factorial Structure Analysis (II) (피복구성학적 인체계측과 요인구조분석 (II) - 여자고교생을 중심으로 -)

  • 김구자
    • Journal of the Korean Home Economics Association
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    • v.20 no.4
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    • pp.83-89
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    • 1982
  • The purpose of this study was to analyze the 45 measuring items for the clothing construction in order to observe the factorial structure of items and to extract the common factor and the special unique factor from data. The sample for the study was drawn randomly out of senior high schoolgirls in Seoul urban area. The size of sample was 301 girls between age 16 and 18. The method of analysis was applied by the principal component analysis with orthogonal rotation after extraction of 9 major factors. All of the above data was analyzed by the computer installed at Seoul National University. From these analyses, the major findings can be summerized as follows: 1. The results of factor analysis generally indicated that the first factor was clustered with 15 items, length measures and height measures. The eigenvalue of the first factor was 16.5 and the cumulative percentage of variables 36.6%. 2. The second factor was clustered with width measures, girth measures and weight of 19 items. The eigenvalue of the second factor was 6.5 and the cumulative percentage of variables 51.0%.

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The Factorial Structure and Psychometric Properties of the Persian Effort-Reward Imbalance Questionnaire

  • Babamiri, Mohammad;Siegrist, Johannes;Zemestani, Mehdi
    • Safety and Health at Work
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    • v.9 no.3
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    • pp.334-338
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    • 2018
  • Background: With global changes in the current state of work and employment, the role of health-adverse psychosocial work environments has received increasing attention in developed as well as in rapidly developing countries. Thus, there is a need to apply valid measurement tools for monitoring and preventive purposes. This study aims to examine the factorial structure and psychometric properties of the Persian version of the effort-reward imbalance (ERI) questionnaire, assessing one of the internationally leading concepts of stressful work. Methods: This descriptive cross-sectional study of a random sample of 202 white collar employees in an industrial company in Iran analyzes the ERI scales by exploratory and confirmatory factor analysis. Moreover, aspects of construct and criterion validity are tested. To this end, correlations of ERI scales with subscales of organizational injustice, a complementary work stress model, and also the correlations of ERI scales with a questionnaire assessing psychosomatic symptoms are performed. Results: Internal consistency of the three ERI scales was satisfactoryy (Cronbach ${\alpha}$ effort: 0.76, reward: 0.79, overcommitment: 0.75). Fit indices of confirmatory factor analsis pointed to an adequate representation of the theoretical construct (e.g., adjusted goodness of fit index (AGFI): 0.73, goodness of fit index (GFI): 0.78). Negative correlations with subscales of organizational injustice supported the notion of construct validity of the ERI scales, and positive correlations of ERI scales with psychosomatic symptoms indicated preliminary criterion validity. Conclusion: The Persian version of the ERI questionnaire has acceptable psychometric properties and can be used as a valid instrument in research on this topic.