• Title/Summary/Keyword: nested design

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Generalization of Staggered Nested Designs for Precision Experiments

  • OJIMA Yoshikazu
    • Proceedings of the Korean Society for Quality Management Conference
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    • 1998.11a
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    • pp.253-258
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    • 1998
  • Staggered nested designs are the most popular class of unbalanced nested designs in practical fields. The most important features of the staggered nested design are that it has a very simple open-ended structure and each sum of squares in the analysis of variance has almost the same degrees of freedom. Based on the features, a class of unbalanced nested designs which is generalized of the staggered nested design is proposed. Some of the generalized staggered nested designs are shown to be more efficient than the staggered nested design in estimating some of variance components and their linear combinations.

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Power Comparison in a Balanced Factorial Design with a Nested Factor

  • Choi, Young-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.4
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    • pp.1059-1071
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    • 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.

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Variance Components of Nested Designs (지분계획의 분산성분)

  • Choi, Jaesung
    • The Korean Journal of Applied Statistics
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    • v.28 no.6
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    • pp.1093-1101
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    • 2015
  • This paper discusses nested design models when nesting occurs in treatment structure and design structure. Some are fixed and others are random; subsequently, the fixed factors having a nested design structure are assumed to be nested in the random factors. The treatment structure can involve random and fixed effects as well as a design structure that can involve several sizes of experimental units. This shows how to use projections for sums of squares by fitting the model in a stepwise procedure. Expectations of sums of squares are obtained via synthesis. Variance components of the nested design model are estimated by the method of moments.

Generation of Split Plot Design of Fixed Factors by Random, Crossed, and Nested Models (랜덤, 교차, 지분인자 모형에 의한 고정인자 분할구 실험설계의 생성)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2011.04a
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    • pp.487-493
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    • 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.

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Derivation of error sum of squares of two stage nested designs and its application (이단계 지분계획법의 오차제곱합 유도와 그 활용)

  • Kim, Daehak
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.6
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    • pp.1439-1448
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    • 2013
  • The analysis of variance for randomized block design or two way classification data is well known. In this paper, particularly, we considered two stage nested design in which the levels of one factor is not identical for different levels of another factor. We investigate the structural properties of two stage nested design and the properties of error sum of squares for random effect model. For the application of two way nested design, we consider two-period crossover design which is used commonly for the equivalence test to bio-similar product. The confidence interval estimation of the difference of two population means in the crossover design is discussed based on statistical package SPSS.

Rank Transformation Technique in a Two-stage Two-level Balanced Nested Design (이단계 이수준 균형지분모형의 순위변환 기법연구)

  • Choi Young-Hun
    • The Korean Journal of Applied Statistics
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    • v.19 no.1
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    • pp.111-120
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    • 2006
  • In a two-stage two-level balanced nested design, type I error rates for the parametric tests and the rank transformed tests for the main effects and the nested effects are in overall similar to each other. Furthermore, powers for the rank transformed statistic for the main effects and the nested effects in a two-stage two-level balanced nested design are generally superior to powers for the parametric statistic When the effect size and the sample size are increased, we can find that powers increase for the parametric statistic and the rank transformed statistic are dramatically improved. Especially for the case of the fixed effects in the asymmetric distributions such as an exponential distribution, powers for the rank transformed tests are quite high rather than powers for the parametric tests.

A Design of Instrumentation Amplifier using a Nested-Chopping Technique (Nested-chopping 기법을 이용한 Instrumentation Amplifier 설계)

  • Lee, Jun-Gyu;Burm, Jin-Wook;Lim, Shin-Il
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.483-484
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    • 2007
  • In this paper, we describe a chip design technique for instrumentation amplifier using a nested-chopping technique. Conventional chopping technique uses a pair of chopper, but nested chopping technique uses two pairs of chopper to reduce residual offset and 1/f noise. The inner chopper pair removes the 1/f noise, while the outer chopper pair reduces the residual offset. Our instrumentation amplifier using a nested chopping technique has residual offset under 100 nV. We also implement very low frequency filter. Since this filter needs very large RC time constant, we use a technique named 'diode connected PMOS' to increase R with small die area. The total power consumption is 3.1 mW at the supply voltage of 3.3V with the 0.35um general CMOS technology. The die area of implemented chip was $530um{\times}300um$.

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Random Ordering of Experimental Design According to the Nested Factor, Block Factor and Repetition Types (지분인자, 블록인자와 되풀이 유형에 따른 실험계획의 랜덤화 순서)

  • Choi, Sung-Woon
    • Proceedings of the Safety Management and Science Conference
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    • 2009.04a
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    • pp.177-183
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    • 2009
  • The research develops random ordering methodology of experimental design by the use of nested factor, block factor and repetition types. The spreadsheets developed are useful for quality practioner to acquire the experimental characteristics according to the random ordering.

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Optimal Design for Complete Diallel Crosses

  • Park, Kuey-Chung;Son, Young-Nam
    • Communications for Statistical Applications and Methods
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    • v.8 no.3
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    • pp.677-683
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    • 2001
  • In this paper, optimal block designs for complete diallel crosses are proposed. These optimal block designs for estimating general combining abilities are constructed by using balanced incomplete block designs and nested balanced incomplete block designs. Also, the efficiency of the optimal block design obtained through this method is reported in table.

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A Nested Session Control for Fault-Recovery Agent on Industry Safety Environment (산업 안전 환경에서 결함 복구 에이전트를 위한 네스티드 세션 관리)

  • Ko, Eung-Nam
    • Journal of Advanced Navigation Technology
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    • v.14 no.1
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    • pp.74-79
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    • 2010
  • This paper explains the design and implementation of nested session management based the FRA(Fault Recovery Agent). FRA is a system that is suitable for recovering software error for multimedia remote control based on industry safety environment. In this paper, we discuss a method for increasing reliability through organization of nested session.