• Title/Summary/Keyword: Multiple Comparison

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Nonparametric Multiple Comparison Procedure Using Alignment Method Under Randomized Block Design (랜덤화 블록 모형에서 정렬 방법을 이용한 비모수 다중비교법)

  • Han, Ji-Ung;Kim, Dong-Jae
    • The Korean Journal of Applied Statistics
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    • v.19 no.3
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    • pp.555-564
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    • 2006
  • Friedman rank-sum multiple comparison procedure is often applied to nonparametric multiple comparison method under randomized block design. Since this method does not use between-block information, we propose, in this paper, nonparametric multiple comparison procedures employing aligned method suggested by Hedges and Lehmann(1962) under randomized block design. The proposed procedure and Friedman procedure are compared by Monte Carlo simulation study.

Temperature Analysis of Each Coolant Level by a Multiple Comparison in Turning Process (다중비교를 이용한 선삭가공시 절삭유량에 따른 온도변화분석)

  • Park, Tae-Jun;Yang, Seung-Han;Lee, Yeong-Mun;Kim, Hui-Sul
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.12
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    • pp.110-115
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    • 2001
  • In this paper, a multiple comparison was proposed to minimize the amount of coolant. And new coolant level, called "low level", was suggested to show usefulness of multiple comparison for experiments. The amount of this levee is about 1/4 of conventional coolant amount-called "high level", and dry cutting is called "none level". Using these coolant levels, the cutting temperatures of each coolant level in turning process were analyzed by analysis of variance(ANOYA)-test and a multiple comparison. As the result of ANOVA-test, we have just known that the average of temperature of each coolant level is not equal. However by Tukey's HSD, one of multiple comparison. it was analyzed that the average of temperature of low level is similar to that of high levee and different from that of none level.erent from that of none level.

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Understanding Whether and How Prospective Teachers Support Elementary Students to Compare Multiple Strategies in Their Enacted Number Talks

  • Byungeun Pak
    • Research in Mathematical Education
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    • v.26 no.2
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    • pp.45-61
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    • 2023
  • Number talks as a brief instructional routine benefits students and teachers. In general, the routines consist of four steps- introducing, posing questions, collecting answers, sharing ideas. This paper focuses on the sharing ideas step in which multiple strategies are shared by students because teachers sometimes do not know what to do with these multiple ideas. One way is to support students to engage in comparison given that teachers are expected to support students to compare strategies in number talks. This paper explores whether and how 15 prospective teachers supported students in their practicum classroom to compare different strategies in their enacted number talk. In this paper, 15 videos of number talks enacted by the prospective teachers were collected. Analyzing the videos produced multiple episodes in relation to comparing strategies, including 1) where prospective teachers created pre-conditions for comparison, 2) where they invited students for comparison, 3) where they pressed students to compare, and 4) where they offered their own way to compare. There were two patterns that might limit the potential of having multiple strategies as conditions for comparison. Additionally, this paper found that even though the prospective teachers missed opportunities to support students to compare different strategies, there were two ways for teachers to support students to engage in comparison. These findings can be used for mathematics teacher educators to support prospective teachers.

Analysis of the Manufacturing Process using Multiple Comparison Procedure (다중비교 절차를 이용한 제조공정의 분석)

  • 최봉욱;김광섭
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.44
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    • pp.333-341
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    • 1997
  • The purpose of this paper is to compare the manufacturing process with random covariate using multiple comparison procedure. The methodology that compares each manufacturing process by inspecting the number of nonconforming items out of k-treatment, has serveral limitations and problems according to the method and contect of the analysis. The proper way of analysis, therefore, could be obtained by the multiple comparison procedure of simultaneous confidence region of variance components. Effections that affect a manufactuing process may be predictive of responce to treatments are called covariates. In the study of comparing several treatments, prsense of covariate may bias the estimates of treatment effects.

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Bayesian Multiple Comparison of Binomial Populations based on Fractional Bayes Factor

  • Kim, Dal-Ho;Kang, Sang-Gil;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.1
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    • pp.233-244
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    • 2006
  • In this paper, we develop the Bayesian multiple comparisons procedure for the binomial distribution. We suggest the Bayesian procedure based on fractional Bayes factor when noninformative priors are applied for the parameters. An example is illustrated for the proposed method. For this example, the suggested method is straightforward for specifying distributionally and to implement computationally, with output readily adapted for required comparison. Also, some simulation was performed.

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The Effects of the Science Process Skill and Scientific Attitudes by multiple-Intelligence (다중지능을 활용한 학습이 학생들의 과학탐구능력 및 과학적 태도에 미치는 효과)

  • Hong, Soon-Won;Lee, Yong-Seob
    • Journal of the Korean Society of Earth Science Education
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    • v.3 no.1
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    • pp.76-85
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    • 2010
  • The purpose of this study is to examine the effect of higher grades in elementary the science process skill and scientific attitudes by multiple-intelligence. To verify research problem, the subject of this study were sixth-grade students selected from two classes of an elementary school located in U1san : the search group is composed of twenty-nine students who were participated in multiple-Intelligence situation, and the other is composed of thirty-two students(comparison group) who were participated in teacher map based learning situation. During six weeks, the multiple-Intelligence was executed in th search group while the teacher map based instruction in comparison group Post-test showed following results: First, the search group showed a significant improvement in the science process skill compared th the comparison group. Second, the search group did not showed a significant improvement in the scientific attitudes compared th the comparison group. In conclusion, multiple-Intelligence teaching model was more effective than the teacher map based teaching model on science process skill. However, since the study has a limit on an object of the study and the applied curriculum, the additional studies need to be conducted with an extended comparative group and curriculum.

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Multiple Comparisons With the Best in the Analysis of Covariance

  • Lee, Young-Hoon
    • Journal of the Korean Statistical Society
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    • v.23 no.1
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    • pp.53-62
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    • 1994
  • When a comparison is made with respect to the unknown best treatment, Hsu (1984, 1985) proposed the so called multiple comparisons procedures with the best in the analysis of variance model. Applying Hsu's results to the analysis of covariance model, simultaneous confidence intervals for multiple comparisons with the best in a balanced one-way layout with a random covariate are developed and are applied to a real data example.

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A Bayesian Approach to Paired Comparison of Several Products of Poisson Rates

  • Kim Dae-Hwang;Kim Hea-Jung
    • Proceedings of the Korean Statistical Society Conference
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    • 2004.11a
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    • pp.229-236
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    • 2004
  • This article presents a multiple comparison ranking procedure for several products of the Poisson rates. A preference probability matrix that warrants the optimal comparison ranking is introduced. Using a Bayesian Monte Carlo method, we develop simulation-based procedure to estimate the matrix and obtain the optimal ranking via a row-sum scores method. Necessary theory and two illustrative examples are provided.

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On Multiple Comparison of Geometric Means of Exponential Parameters via Graphical Model (그래프 모형을 이용한 지수분포 모수들의 기하평균 비교에 관한 연구)

  • Kim, Dae-Hwang;Kim, Hea-Jung
    • The Korean Journal of Applied Statistics
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    • v.19 no.3
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    • pp.447-460
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    • 2006
  • This paper develops a multiple comparison method for finding an optimal ordering of K geometric means of exponential parameters. This is based on the paired comparison experimental arrangement whose results can naturally be represented by a completely oriented graph. Introducing posterior preference probabilities and stochastic transitivity conditions to the graph, we obtain a new graphical model that yields criteria for the optimal ordering in the multiple comparison. Necessary theories involved in the method and some computational aspects are provided. Some numerical examples are given to illustrate the efficiency of the suggested method.

Nonparametric multiple comparison method in one-way layout based on joint placement (일원배치모형에서 결합위치를 이용한 비모수 다중비교법)

  • Seok, Dahee;Kim, Dongjae
    • The Korean Journal of Applied Statistics
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    • v.30 no.6
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    • pp.1027-1036
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    • 2017
  • Multiple comparisons are required to confirm whether or not something is significant if the null hypothesis to test whether the difference between more than three treatments is rejected in a one-way layout. There are both parametric multiple comparison method Tukey (1953) and Nonparametric multiple comparison method based on Kruskal-Wallis (1952).This procedure is applied to a mixed sample of all data and then an average ranking is used for each of three or more treatments. In this paper, a new nonparametric multiple comparison procedure based on joint placements for a one-way layout as extension of the joint placements described in Chung and Kim (2007) was proposed. Monte Carlo simulation is also adapted to compare the family wise error rate (FWE) and the power of the proposed method with previous methods.