• Title/Summary/Keyword: Data normality

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Canonical Correlation: Permutation Tests and Regression

  • Yoo, Jae-Keun;Kim, Hee-Youn;Um, Hye-Yeon
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.471-478
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    • 2012
  • In this paper, we present a permutation test to select the number of pairs of canonical variates in canonical correlation analysis. The existing chi-squared test is known to be limited to normality in use. We compare the existing test with the proposed permutation test and study their asymptotic behaviors through numerical studies. In addition, we connect canonical correlation analysis to regression and we we show that certain inferences in regression can be done through canonical correlation analysis. A regression analysis of real data through canonical correlation analysis is illustrated.

Permutation Predictor Tests in Linear Regression

  • Ryu, Hye Min;Woo, Min Ah;Lee, Kyungjin;Yoo, Jae Keun
    • Communications for Statistical Applications and Methods
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    • v.20 no.2
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    • pp.147-155
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    • 2013
  • To determine whether each coefficient is equal to zero or not, usual $t$-tests are a popular choice (among others) in linear regression to practitioners because all statistical packages provide the statistics and their corresponding $p$-values. Under smaller samples (especially with non-normal errors) the tests often fail to correctly detect statistical significance. We propose a permutation approach by adopting a sufficient dimension reduction methodology to overcome this deficit. Numerical studies confirm that the proposed method has potential advantages over the t-tests. In addition, data analysis is also presented.

A Goodness of Fit Approach for Testing NBUFR (NWUFR) and NBAFR (NWAFR) Properties

  • Mahmoud, M.A.W.;Alim, N.A. Abdul
    • International Journal of Reliability and Applications
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    • v.9 no.2
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    • pp.125-140
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    • 2008
  • The new better than used failure rate (NBUFR), Abouammoh and Ahmed (1988), and new better than average failure rate (NBAFR) Loh (1984) classes of life distributions, have been considered in the literature as natural weakenings of NBU (NWU) property. The paper considers testing exponentiality against strictly NBUFR (NBAFR) alternatives, or their duals, based on goodness of fit approach that is possible in life testing problems and that it results in simpler procedures that are asymptotically equivalent or better than standard ones. They may also have superior finite sample behavior. The asymptotic normality are proved. Powers, Pitman asymptotic efficiency and critical points are computed. Dealing with censored data case also studied. Practical applications of our tests in the medical sciences are present.

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Probability Distribution of Track Recording Data (궤도틀림 검측 데이타의 확률분포 검토)

  • Lee, Jee-Ha;Na, Sung-Hoon;Kim, Bag-Jin;Lee, You-Bok
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.310-314
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    • 2010
  • Track geometry changes by traffic loads. The bigger the changes are, the worse the riding comfort and running stability of train. This is so-called track irregularity and is the most important quality parameters of ballasted track. To objectively assess track irregularity, track geometry should be able to be measured. Practically, railway companies in Korea use normal distribution as probability distribution of track irregularity. But some countries use non-normal distribution according to their own track recording system. In this report, reviewed probability distribution of Kyung-Bu high-speed line and tested normality.

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Design of Combined Shewhart-CUSUM Control Chart using Bootstrap Method (Bootstrap 방법을 이용한 결합 Shewhart-CUSUM 관리도의 설계)

  • 송서일;조영찬;박현규
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.25 no.4
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    • pp.1-7
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    • 2002
  • Statistical process control is used widely as an effective tool to solve the quality problems in practice fields. All the control charts used in statistical process control are parametric methods, suppose that the process distributes normal and observations are independent. But these assumptions, practically, are often violated if the test of normality of the observations is rejected and/or the serial correlation is existed within observed data. Thus, in this study, to screening process, the Combined Shewhart - CUSUM quality control chart is described and evaluated that used bootstrap method. In this scheme the CUSUM chart will quickly detect small shifts form the goal while the addition of Shewhart limits increases the speed of detecting large shifts. Therefor, the CSC control chart is detected both small and large shifts in process, and the simulation results for its performance are exhibited. The bootstrap CSC control chart proposed in this paper is superior to the standard method for both normal and skewed distribution, and brings in terms of ARL to the same result.

The Effects of Trust and Perceived Risk on Attitude and Purchase Intension in Internet Shopping Malls (인터넷 쇼핑몰에서 신뢰와 지각된 위험이 태도 및 구매의도에 미치는 영향)

  • Chang, Myung-Hee
    • The Journal of Information Systems
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    • v.14 no.1
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    • pp.227-249
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    • 2005
  • In this research, four antecedents of trust ad the effect of trust and perceived risk on attitude and purchase intension in internet shopping malls is investigated. In survey, data were collected from 286 male and female internet shopping mall users, and then covariance structure modeling through Amos was used to test the 10 hypotheses. The survey results as follow: First, this research shows that institution base structural assurance and situational normality and knowledge-based familiarity are important antecedents on trust in internet shopping malls. Second, trust affected attitude and purchase intension. Third, it has a negative relationship between trust and perceived risk. But perceived risk does not influence attitude and purchase intension. This study contribute to understanding on the role of trust and perceived risk in internet shopping malls.

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Interval Estimation of the Difference of two Population Proportions using Pooled Estimator

  • Hong, Chong-Sun
    • Communications for Statistical Applications and Methods
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    • v.9 no.2
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    • pp.389-399
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    • 2002
  • In order to examine whether the difference between two point estimates of population proportions is statistically significant, data analysts use two techniques. The first is to explore the overlap between two associated confidence intervals. Second method is to test the significance which is introduced at most statistical textbooks under the common assumptions of consistency, asymptotic normality, and asymptotic independence of the estimates. Under the null hypothesis which is two population proportions are equal, the pooled estimator of population proportion is preferred as a point estimator since two independent random samples are considered to be collected from one population. Hence as an alternative method, we could obtain another confidence interval of the difference of the population proportions with using the pooled estimate. We conclude that, among three methods, the overlapped method is under-estimated, and the difference of the population proportions method is over-estimated on the basis of the proposed method.

Partially linear multivariate regression in the presence of measurement error

  • Yalaz, Secil;Tez, Mujgan
    • Communications for Statistical Applications and Methods
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    • v.27 no.5
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    • pp.511-521
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    • 2020
  • In this paper, a partially linear multivariate model with error in the explanatory variable of the nonparametric part, and an m dimensional response variable is considered. Using the uniform consistency results found for the estimator of the nonparametric part, we derive an estimator of the parametric part. The dependence of the convergence rates on the errors distributions is examined and demonstrated that proposed estimator is asymptotically normal. In main results, both ordinary and super smooth error distributions are considered. Moreover, the derived estimators are applied to the economic behaviors of consumers. Our method handles contaminated data is founded more effectively than the semiparametric method ignores measurement errors.

Tests of equality of several variances with the likelihood ratio principle

  • Park, Hyo-Il
    • Communications for Statistical Applications and Methods
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    • v.25 no.4
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    • pp.329-339
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    • 2018
  • In this study, we propose tests for equality of several variances with the normality assumption. First of all, we propose the likelihood ratio test by applying the permutation principle. Then by using the p-values for the pairwise tests between variances and combination functions, we propose combination tests. We apply the permutation principle to obtain the overall p-values. Also we review the well- known test statistics for the completion of our discussion and modify a statistic with the p-values. Then we illustrate proposed tests by numerical and simulated data and compare their efficiency with the reviewed ones through a simulation study by obtaining empirical p-values. Finally, we discuss some interesting features related to the resampling methods and tests for equality among several variances.

Research on the Indices for Demonstrating Cell Conditions

  • Kim, Ik-Hyun;Pan, Sung-Bum
    • Journal of Sensor Science and Technology
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    • v.21 no.5
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    • pp.324-328
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    • 2012
  • In the past a few decades, various kinds of cells have been examined in laboratories all over the world, and their interesting results have been expressed through various methods in journal publications. For a representative example, the increment or reduction of cell numbers during a bio-related experimental process has been demonstrated using the hazard ratio in survival analysis or in the form of a graph. In addition, the condition of cells such as their normality or abnormality would be indicated by the images of the cell nuclei or membranes treated with proper fluorescent labeling. However, the above methods seem to not be quantitative but rather qualitative assessments, which might be difficult to provide people with the eidetic understanding through parameters or numerical data. With adequate suggestions on any indices enabling the explanation for cell conditions, some analyses may be underestimated due to the lack of objectiveness caused by merely linguistic evaluation for the cell conditions, not numerally scientific interpretation. Therefore, in this study, we would suggest some indices enabling quantitative analysis on the cellular conditions.