• Title/Summary/Keyword: Nonparametric Ranking

Search Result 11, Processing Time 0.022 seconds

Assessment of Properties of Error Terms in Design of Experiment (실험계획법에서 오차항의 가정 검토방안)

  • Choe, Seong-Un
    • Proceedings of the Safety Management and Science Conference
    • /
    • 2012.04a
    • /
    • pp.579-583
    • /
    • 2012
  • The Design of Experiment (DOE) is a most practical technique when establishing an optimal condition for production technology in Six Sigma innovation project. This research proposes the assessment of properties of error terms, such as normality, equal variance, unbiasedness and independence. The properties of six nonparametric ranking techniques for checking normality assumption are discussed as well as run test which is used to identify the randomness, and to check unbiased assumption. Furthermore, Durbin-Watson (DW) statistics and ARIMA (p,d,q) process are discussed to identify the serial correlation.

  • PDF

Nonparametric Selection Procedures and Their Efficiency Comparisons

  • Sohn, Joong-K.;Shanti S.Gupta;Kim, Heon-Joo
    • Communications for Statistical Applications and Methods
    • /
    • v.1 no.1
    • /
    • pp.41-51
    • /
    • 1994
  • We consider nonparametric procedures for the selection and ranking problems. Tukey's generalized lambda distribution is condidered as the distribution for the score function because the distribution can approximate many well-known contionuous distributions. Also we compare these procedures in terms of efficiency, defined by the ratio of a probability of a correct selection divided by the expected selected subset size.

  • PDF

Nonparametric procedures using aligned method and linear placement statistics in randomized block design (랜덤화 블록 계획법에서 정렬방법과 선형위치통계량을 이용한 비모수 검정법)

  • Han, Jinjoo;Kim, Dongjae
    • The Korean Journal of Applied Statistics
    • /
    • v.29 no.7
    • /
    • pp.1411-1419
    • /
    • 2016
  • Nonparametric procedures in randomized block design was proposed by Friedman (1937) as a general alternative. This method is used to find out the difference in treatment effect. It can cause a loss of inter block information using the ranking in each block. This paper proposed nonparametric procedures using an aligned method proposed by Hodges and Lehmann (1962) to reduce block information based on joint placement suggest by Jo and Kim (2013) in a randomized block design. We also compared the power of the test of the proposed procedures and established method through a Monte Carlo simulation.

Nonparametric procedures using aligned method and joint placement in randomized block design with replications (반복이 있는 랜덤화 블록 계획법에서 정렬방법과 결합위치를 이용한 비모수 검정법)

  • Lee, Eunjee;Kim, Dongjae
    • The Korean Journal of Applied Statistics
    • /
    • v.30 no.2
    • /
    • pp.291-299
    • /
    • 2017
  • Mack and Skillings (1980) proposed nonparametric procedures in a randomized block design with replications as general alternatives. This method is used to find the difference in the treatment effect; however, it can cause a loss of inter block information using the ranking in each block. In this paper, we proposed new nonparametric procedures in a randomized block design with replications using an aligned method proposed by Hodges and Lehmann (1962) that used information of blocks and based on the joint placement suggest by Chung and Kim (2008). We also compared the power of the test of the proposed procedures and established a method through Monte Carlo simulation.

Distribution-Free k-Sample Tests for Ordered Alternatives of Scale Parameters

  • Jeong, Kwang-Mo;Song, Moon-Sup
    • Journal of the Korean Statistical Society
    • /
    • v.17 no.2
    • /
    • pp.61-80
    • /
    • 1988
  • For testing homogeneity of scale parameters aginst ordered alternatives, some nonparametric test statistics based on pairwise ranking method are proposed. The proposed tests are distribution-free. The asymptotic distributions of the proposed statistcs are also investigated. It is shown that the Pitman efficiencies of the proposed rank tests are the same as those of the corresponding two-sample rank tests in the scale problem. A small-sample Monte Carlo study is also performed. The results show that the proposed tests are robust and efficient.

  • PDF

Nonparametric Methods for Analyzing Incomplete Ranking Data

  • Lim, Dong-Hoon
    • Communications for Statistical Applications and Methods
    • /
    • v.5 no.3
    • /
    • pp.695-706
    • /
    • 1998
  • In this paper we consider the setting where a group of n judges are to independently rank a series of κ objects, but the intended complete rankings are not realized and we are faced with analyzing randomly incomplete rank vectors. We discuss some tests based on Friedman statistics on the designs completed through rank imputation schemes suggested by Lordo and Wolfe (1994) and evaluate them on the basis of simulated power studies, constructing their appropriate null distributions.

  • PDF

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
    • /
    • v.30 no.6
    • /
    • pp.1027-1036
    • /
    • 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.

Nonparametric Approaches of Analyzing Randomly Incomplete Ranking Data (임의의 불완전 순위자료 분석을 위한 비모수적 방법)

  • 임동훈
    • The Korean Journal of Applied Statistics
    • /
    • v.13 no.1
    • /
    • pp.45-53
    • /
    • 2000
  • 본 논문에서는 모든 판정자(judge)들이 모든 객체(object)들에 대해 순위를 부여할 수 없는 경우에 얻어지는 불완전 순위자료에서 판정자들의 처리 효과에 대한 유의성을 검정하는데 관심이 있다. 이를 위해 불완전 순위자료를 완전자료로 바꾸는 알고리즘을 제안하고 알고리즘에 의해 얻어진 완전 순위자료에 Friedman 검정법을 적용하고자 한다. 제안된 검정법은 결측 객체에 순위를 부여하는데 있어서 완전순위를 갖는 판정자들의 정보를 이용함으로서 효율적이며 검정을 시행하는데 기존의 Friedman 통계량에 대한 분포표를 사용할 수 있어 간편하다. 그리고 몬테칼로 모의실험을 통하여 제안된 검정법과 기존의 평균 순위법, 최대/최소 Friedman 검정법과 검정력을 비교하였다.

  • PDF

A Multi-Period Input DEA Model with Consistent Time Lag Effects (일관된 지연 효과를 고려한 다기간 DEA 모형)

  • Jeong, Byungho;Zhang, Yanshuang;Lee, Taehan
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.42 no.3
    • /
    • pp.8-14
    • /
    • 2019
  • Most of the data envelopment analysis (DEA) models evaluate the relative efficiency of a decision making unit (DMU) based on the assumption that inputs in a specific period are consumed to produce the output in the same period of time. However, there may be some time lag between the consumption of input resources and the production of outputs. A few models to handle the concept of the time lag effect have been proposed. This paper suggests a new multi-period input DEA model considering the consistent time lag effects. Consistency of time lag effect means that the time delay for the same input factor or output factor are consistent throughout the periods. It is more realistic than the time lag effect for the same output or input factor can vary over the periods. The suggested model is an output-oriented model in order to adopt the consistent time lag effect. We analyze the results of the suggested model and the existing multi period input model with a sample data set from a long-term national research and development program in Korea. We show that the suggested model may have the better discrimination power than existing model while the ranking of DMUs is not different by two nonparametric tests.

Effects of EMS Compression Belts with Different Muscular Patterns on Lumbar Stabilization (근육모양의 패턴을 달리한 EMS 복압벨트가 요추 안정화에 미치는 영향에 관한 연구)

  • Kim, Dae-Yeon;Park, Jin-hee;Kim, Joo-Yong
    • Science of Emotion and Sensibility
    • /
    • v.24 no.2
    • /
    • pp.81-92
    • /
    • 2021
  • In this study, we investigated the effects of five EMS lumbar back pressure belts produced on an anatomical basis on lumbar spine stabilization. Five core muscles were selected, including the urinal, vertebral column, endotracheal, external abdominal, and large back muscles, and patterns were designed using a conductive fabric considering the appropriate muscle shape and pain-causing points. We experimented with four motions to examine the effects of different EMS abdominal compression belts on lumbar spine stabilization. Five healthy men in their 20s were selected. The selection conditions include no back pain history for the past three months, no restricted movements through pre-inspection, and the muscular strength of the body should belong to the normal grade. Using SLR, the sequence of experimental actions was chosen from the following but not limited to left-hand, body-hand, and back-line forces. Resting between movements lasted for 2 min, and the experiments were conducted after wearing the EMS abdominal pressure belt. Electrical stimulation was applied for 10 min to increase blood flow and muscle activation. The statistics of the experimental results were analyzed for specific differences by conducting the Wilcoxon and Friedman tests with nonparametric tests. The ranking results of each pattern were successfully assessed in the order of 5, 4, 3, 1, 2 for the five patterns, and we could identify slightly more significant results for experimental behavior associated with each muscle movement. Patterns produced based on anatomy showed differentiated effects when electric stimulation was applied to each muscle in different shapes, which could improve the stabilization of the lumbar spine in everyday life or training to the public. Based on these results, subsequent research would focus on developing smart healthcare clothing that is practical in daily life by employing different anatomical mechanisms, depending on the back pain, to utilize trunk-type tights.