• Title/Summary/Keyword: Forward sequential test

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The Sequential Testing of Multiple Outliers in Linear Regression

  • Park, Jinpyo;Park, Heechang
    • Communications for Statistical Applications and Methods
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    • v.8 no.2
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    • pp.337-346
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    • 2001
  • In this paper we consider the problem of identifying and testing the outliers in linear regression. first we consider the problem for testing the null hypothesis of no outliers. The test based on the ratio of two scale estimates is proposed. We show the asymptotic distribution of the test statistic by Monte Carlo simulation and investigate its properties. Next we consider the problem of identifying the outliers. A forward sequential procedure based on the suggested test is proposed and shown to perform fairly well. The forward sequential procedure is unaffected by masking and swamping effects because the test statistic is based on robust estimate.

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The Forward Sequential Procedure for the Identifying Multiple Outliers in Linear Regression

  • Park, Jin-Pyo
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.1053-1066
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    • 2005
  • In this paper we consider the problem of identifying and testing outliers in linear regression. First we consider the use of the so-called scale ratio tests for testing the null hypothesis of no outliers. This test is based on the ratio of two residual scale estimates. We show the asymptotic distribution of the test statistics and investigate its properties. Next we consider the problem of identifying the outliers. A forward sequential procedure using the suggested test is proposed. The new method is compared with classical procedure in the real data example. Unlike other forward procedures, the present one is unaffected by masking and swamping effects because the test statistic is based on robust scale estimate.

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The Identification Of Multiple Outliers

  • Park, Jin-Pyo
    • Journal of the Korean Data and Information Science Society
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    • v.11 no.2
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    • pp.201-215
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    • 2000
  • The classical method for regression analysis is the least squares method. However, if the data contain significant outliers, the least squares estimator can be broken down by outliers. To remedy this problem, the robust methods are important complement to the least squares method. Robust methods down weighs or completely ignore the outliers. This is not always best because the outliers can contain some very important information about the population. If they can be detected, the outliers can be further inspected and appropriate action can be taken based on the results. In this paper, I propose a sequential outlier test to identify outliers. It is based on the nonrobust estimate and the robust estimate of scatter of a robust regression residuals and is applied in forward procedure, removing the most extreme data at each step, until the test fails to detect outliers. Unlike other forward procedures, the present one is unaffected by swamping or masking effects because the statistics is based on the robust regression residuals. I show the asymptotic distribution of the test statistics and apply the test to several real data and simulated data for the test to be shown to perform fairly well.

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The Scale Ratio Testing of Multiple Outliers in Linear Regression

  • Park, Jin-Pyo
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.3
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    • pp.673-685
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    • 2003
  • In this paper we consider the problem of identifying and testing outliers in linear regression. First we consider the problem for testing the null hypothesis of no outliers. A test based on the ratio of two residual scale estimates is proposed. We show the asymptotic distribution of the test statistics by Monte Carlo simulation and investigate its properties. Next we consider the problem of identifying the outliers. A forward sequential procedure using the suggested test is proposed and shown to perform fairly well. Unlike other forward procedures, the present one is unaffected by masking and swamping effects because the test statistic is based on robust scale estimate.

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The Detection and Testing of Multiple Outliers in Linear Regression

  • Park, Jin-Pyo;Zamar, Ruben H.
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.4
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    • pp.921-934
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    • 2004
  • We consider the problem of identifying and testing outliers in linear regression. First, we consider the scale-ratio tests for testing the null hypothesis of no outliers. A test based on the ratio of two residual scale estimates is proposed. We show the asymptotic distribution of test statistics and investigate the properties of the test. Next we consider the problem of identifying the outliers. A forward procedure based on the suggested test is proposed and shown to perform fairly well. The forward procedure is unaffected by masking and swamping effects because the test statistics used a robust scale estimate.

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Designing an Electronic Course and Its Impact on Developing University Students' Computational Thinking Skills

  • Al-Zahrani, Majed bin Maili bin Mohammad
    • International Journal of Computer Science & Network Security
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    • v.22 no.1
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    • pp.15-20
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    • 2022
  • The study investigated the effects of differences in some electronic course designs on university students' Computational Thinking Skills (CTS). Towards this end, the researcher adopted the experimental research design of a quasi-experimental of two experimental groups. The first group was taught an e-course designed in a sequential pattern, and the other group's course was designed according to the holistic model. A CTSs test was prepared to collect the relevant data, and the data were analyzed statistically using these tests- Pearson correlation Mann Whitney and Alpha Cronbach. Results revealed statistically-significant differences at the level α=0.05 between the mean scores of the first and second experimental groups in favor of the latter in the CTS test. The findings gave ground to put forward some salient recommendations, including the need to expand computational thinking in universities' educational process. It also recommends urging faculty members to enhance e-courses in the educational process and provide technical support to students and faculty members.

Development of Electric Actuator Position Control System for Automatic Shuttle Shifting of Tractor (트랙터의 전후진 자동 변속을 위한 전자식 액추에이터의 위치 제어 시스템 개발)

  • Choi, Chang-Hyun;Woo, Mi-Na;Lee, Dae-Hyun;Kim, Yong-Joo;Jeong, Jin-Hee
    • Journal of Biosystems Engineering
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    • v.35 no.4
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    • pp.224-230
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    • 2010
  • The purpose of this study was to develop position control system of an electric actuator for automatic shuttle shifting of a tractor. The electric actuator was installed at the link of the forward-reverse gearshift of the tractor transmission, and controlled in the ranges of forward, neutral, and reverse positions. The position control system of the electric actuator was developed based on PID (Proportional Integral Derivative) controller and transfer function of the electric actuator. The coefficients of the PID controller were determined by Ziegler-Nichols (Z-N) method and optimized using simulation program. The prototype AMT (Automated Manual Transmission) test unit of the tractor was installed and used to evaluate the performance of the position control. The evaluation system for the control performance consisted of forward-reverse actuator, motor driver, and controller. The tests were conducted as the controlled positions of the actuator were changed from neutral position to forward, neutral, and reverse positions in sequence. The sequential tests were repeated 20 times. The operations of changing the gearshift were considered as the step response of the control system. Maximum overshoot, settling time, and steady-state error were analyzed. The results showed that performance of the position control system was reasonable and qualified. The maximum overshoots, the steady-state errors, and the settling times of the position control system were 10~20%, 1~5%, and 0.92~1.49 sec, respectively. The modifications of the electric actuator will be required to enhance the performance of position control during field operation.

Reliability and Validity of Patient Oriented Eczema Measure (POEM) Korean Version

  • Kim, Yoon-Ha;Han, Jong-Min;Jung, In-Chul;Kang, Weechang;Park, Yang-Chun
    • The Journal of Korean Medicine
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    • v.37 no.4
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    • pp.22-29
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    • 2016
  • Objectives: We developed a Korean translation of this questionnaire by sequential forward-and-backward translation. The purpose of this study is to validate the Korean version of the POEM, the "POEM-K" by Korean patients with atopic dermatitis (AD). Methods: A single-center prospective study was conducted with 50 participants diagnosed with AD. The POEM was translated to Korean version by an expert panel. Scoring Atopic Dermatitis (SCORAD) and Short Form 36 Health Survey (SF-36) were used as external comparators. Results: Twenty men and thirty women between the ages of 18 and 63 participated in the study. The test-retest reliability of the total POEM-K was estimated using the intra-class correlation coefficient (ICC) that showed a strong agreement (ICC = 0.72). By using Pearson correlation coefficients, we compared the POEM-K to SCORAD and yielded a concurrent validity that showed a significant result. The responsiveness of the POEM-K was represented by the effect size (ES) of 1.41 and statistically significant (p = 0.004). Conclusions: The Korean version of the POEM is a reliable, valid, and responsive disease-specific questionnaire for assessing the symptoms and quality of life of Korean patients with AD.

Variable selection in partial linear regression using the least angle regression (부분선형모형에서 LARS를 이용한 변수선택)

  • Seo, Han Son;Yoon, Min;Lee, Hakbae
    • The Korean Journal of Applied Statistics
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    • v.34 no.6
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    • pp.937-944
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    • 2021
  • The problem of selecting variables is addressed in partial linear regression. Model selection for partial linear models is not easy since it involves nonparametric estimation such as smoothing parameter selection and estimation for linear explanatory variables. In this work, several approaches for variable selection are proposed using a fast forward selection algorithm, least angle regression (LARS). The proposed procedures use t-test, all possible regressions comparisons or stepwise selection process with variables selected by LARS. An example based on real data and a simulation study on the performance of the suggested procedures are presented.

The Application of Various Non-parametric Trend Tests to Observed and Future Rainfall Data in the Nakdong River Basin (낙동강 유역의 과거 및 미래 강우자료에 대한 다양한 비모수적 경향성 검정 기법의 적용)

  • Kim, Sang Ug;Lee, Yeong Seob;Lee, Cheol-Eung
    • Journal of Korea Water Resources Association
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    • v.47 no.3
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    • pp.223-235
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    • 2014
  • In recent, the various methods to predict the hydrological impacts due to climate change have been developed and applied. Especially the trend analysis using observed and future hydrological data has been performed than ever. Parametric or non-parametric tests can be applied for a trend analysis. However, the non-parametric tests have been commonly used in the case of trend analysis using hydrological data. Therefore, the two types of non-parametric tests, Mann-Kendall (MK) test and Spearman Rho (SR) test, were used to detect the trend in the observed and future rainfall data that were collected from the Nakdong River basin. Also, the Pre-Whitening (PW) and the Trend Free Pre-Whitening (TFPW) as the pre-process of the trend analysis were performed. Also, the result of trend analysis suggest that those pre-processes have a statistically significant effect. Additionally, the Sequential Mann-Kendall (SMK) was used to reveal the beginning point of a trend in the observed and future rainfall data in the Nakdong River basin. The rainfall patterns in most rainfall gauges using the observed rainfall show the increasing trend and the abrupt changes in the specific months (from April to May and September to October). Also, the beginning point of the trend is brought forward by several months when climate change is accelerated. Finally, the results of this study can provide the useful background for the research related to climate change and water resources planning in the Nakdong River basin.