• 제목/요약/키워드: Statistical hypothesis testing

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The Impact of Product Quality, Price, and Distribution on Satisfaction and Loyalty

  • YUSUF, Muhammad;NURHILALIA, NURHILALIA;PUTRA, Aditya Halim Perdana Kusuma
    • 유통과학연구
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    • 제17권10호
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    • pp.17-26
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    • 2019
  • Purpose - This research investigates the old marketing mix approach to satisfaction and loyalty from the perspective of research subjects of Samsung brand smartphone cases through empirical testing involving product quality, price, distribution channel variables as antecedent variables. Research design, data, and methodology - This study emphasizes the empirical/quantitative concept by using a survey as a data collection tool. The number of samples used was 179 eligible respondents who used Samsung smartphone devices for more than five years. Statistical testing tools use PLS with several testing stages such as the classical assumption test to the hypothesis testing stage. Results - The nine hypotheses proposed, as many as two hypotheses were proposed, namely intervening relationships involving Price and Distribution channel variables on customer satisfaction and customer loyalty. Conclusions - Product quality is the essential component affecting customer satisfaction and loyalty while distribution channel is a complementary component that is no less important to measure the extent to which customer satisfaction expectations and customer loyalty are realized for the product quality of the products that have been produced and marketed. The price component is not the only reason to make consumers satisfied and loyal.

Test for Discontinuities in Nonparametric Regression

  • Park, Dong-Ryeon
    • Communications for Statistical Applications and Methods
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    • 제15권5호
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    • pp.709-717
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    • 2008
  • The difference of two one-sided kernel estimators is usually used to detect the location of the discontinuity points of regression function. The large absolute value of the statistic imply discontinuity of regression function, so we may use the difference of two one-sided kernel estimators as the test statistic for testing null hypothesis of a smooth regression function. The problem is, however, we only know the asymptotic distribution of the test statistic under $H_0$ and we hardly expect the good performance of test if we rely solely on the asymptotic distribution for determining the critical points. In this paper, we show that if we adjust the bias of test statistic properly, the asymptotic rules hold for even small sample size situation.

Monotone Likelihood Ratio Property of the Poisson Signal with Three Sources of Errors in the Parameter

  • Kim, Joo-Hwan
    • Communications for Statistical Applications and Methods
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    • 제5권2호
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    • pp.503-515
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    • 1998
  • When a neutral particle beam(NPB) aimed at the object and receive a small number of neutron signals at the detector, it follows approximately Poisson distribution. Under the four assumptions in the presence of errors and uncertainties for the Poisson parameters, an exact probability distribution of neutral particles have been derived. The probability distribution for the neutron signals received by a detector averaged over the three sources of errors is expressed as a four-dimensional integral of certain data. Two of the four integrals can be evaluated analytically and thereby the integral is reduced to a two-dimensional integral. The monotone likelihood ratio(MLR) property of the distribution is proved by using the Cauchy mean value theorem for the univariate distribution and multivariate distribution. Its MLR property can be used to find a criteria for the hypothesis testing problem related to the distribution.

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로짓모형을 이용한 질적 종속변수의 분석 (Application of Logit Model in Qualitative Dependent Variables)

  • 이길순;유완
    • 가정과삶의질연구
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    • 제10권1호통권19호
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    • pp.131-138
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    • 1992
  • Regression analysis has become a standard statistical tool in the behavioral science. Because of its widespread popularity. regression has been often misused. Such is the case when the dependent variable is a qualitative measure rather than a continuous, interval measure. Regression estimates with a qualitative dependent variable does not meet the assumptions underlying regression. It can lead to serious errors in the standard statistical inference. Logit model is recommended as alternatives to the regression model for qualitative dependent variables. Researchers can employ this model to measure the relationship between independent variables and qualitative dependent variables without assuming that logit model was derived from probabilistic choice theory. Coefficients in logit model are typically estimated by the method of Maximum Likelihood Estimation in contrast to ordinary regression model which estimated by the method of Least Squares Estimation. Goodness of fit in logit model is based on the likelihood ratio statistics and the t-statistics is used for testing the null hypothesis.

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QUALITY IMPROVEMENT OF VEHICLE DRIFT USING STATISTICAL SIX SIGMA TOOLS

  • PARK T. W.;SOHN H. S.
    • International Journal of Automotive Technology
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    • 제6권6호
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    • pp.625-633
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    • 2005
  • Vehicle drift was reduced using statistical six sigma tools. The study was performed through four steps: M (measure), A (analyze), I (improve), and C (control). Step M measured the main factors which were derived from a fishbone diagram. The measurement system capabilities were analyzed and improved before measurement. Step A analyzed critical problems by examining the process capability and control chart derived from the measured values. Step I analyzed the influence of the main factors on vehicle drift using DOE (design of experiment) to derive the CTQ (critical to quality). The tire conicity and toe angle difference proved to be CTQ. This information enabled the manufacturing process related with the CTQ to be improved. The respective toe angle tolerance for the adjustment process was obtained using the Monte Carlo simulation. Step C verified and controlled the improved results through hypothesis testing and Monte Carlo simulation.

Testing Exponentiality of Kullback-Leibler Information Function based on a Step Stress Accelerated Life Test

  • 박병구;윤상철
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2000년도 추계학술발표회 논문집
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    • pp.235-240
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    • 2000
  • In this paper a test of fit for exponentiality and we propose the estimator of Kullback-Leibler Information functions using the data from accelerated life tests. This acceleration model is assumed to be a tampered random variable model. The procedure is applicable when the exponential parameter based on the data from accelerated life tests is or is not specified under null hypothesis. Using Simulations, the power of the proposed test based on use condition of accelerated life test under alternatives is compared with that of other standard tests in the small sample.

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Estimation of Jump Points in Nonparametric Regression

  • Park, Dong-Ryeon
    • Communications for Statistical Applications and Methods
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    • 제15권6호
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    • pp.899-908
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    • 2008
  • If the regression function has jump points, nonparametric estimation method based on local smoothing is not statistically consistent. Therefore, when we estimate regression function, it is quite important to know whether it is reasonable to assume that regression function is continuous. If the regression function appears to have jump points, then we should estimate first the location of jump points. In this paper, we propose a procedure which can do both the testing hypothesis of discontinuity of regression function and the estimation of the number and the location of jump points simultaneously. The performance of the proposed method is evaluated through a simulation study. We also apply the procedure to real data sets as examples.

영상에서 에지 검출을 위한 통계적 방법 (Statistical methods for Edge Detection in Images)

  • 임동훈;박은희
    • 응용통계연구
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    • 제13권2호
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    • pp.515-523
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    • 2000
  • 본 논문에서는 변화점 문제(change-point problem)에 대한 통계적 방법들을 사용하여 에지를 검출하고자 한다. 이를 위해 $n\timesn$ 부분영상을 선택하고 선택된 영상이 농도값에서 유의한 차이가 있는 두 개의 영역으로 분할하는 경계에 대응되는 에지점(edge point)을 포함하는지에 대해 가설 검정을 한다. 에지 검출에 사용되는 통계적 방법은 이표본 Kolmogorov-Smirnov 검정에 기초해서 얻은 제안된 방법과 기존의 우도비(likelihood ratio)방법,비모수적인 Wolfe-Schechtman 방법 등이다. 위 방법들의 성능을 평가하기 위해 접음영상과 잡음없는 영상에 대해 실험을 실시하고 비교 분석한다.

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Error Rate for the Limiting Poisson-power Function Distribution

  • Joo-Hwan Kim
    • Communications for Statistical Applications and Methods
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    • 제3권1호
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    • pp.243-255
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    • 1996
  • The number of neutron signals from a neutral particle beam(NPB) at the detector, without any errors, obeys Poisson distribution, Under two assumptions that NPB scattering distribution and aiming errors have a circular Gaussian distribution respectively, an exact probability distribution of signals becomes a Poisson-power function distribution. In this paper, we show that the error rate in simple hypothesis testing for the limiting Poisson-power function distribution is not zero. That is, the limit of ${\alpha}+{\beta}$ is zero when Poisson parameter$\kappa\rightarro\infty$, but this limit is not zero (i.e., $\rho\ell$>0)for the Poisson-power function distribution. We also give optimal decision algorithms for a specified error rate.

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k-표본 우산형 위치-척도 대립가설에 대한 순위검정법의 연구 (k-Sample Rank Tests for Umbrella Location-Scale Alternatives)

  • Hee Moon Park
    • 응용통계연구
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    • 제7권2호
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    • pp.159-171
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    • 1994
  • 본 논문에서는 $\kappa$-표본 문제에서 우산형 위치-척도 대립가설에 대한 순위검정법들을 연구하였다. 위치모수와 척도모수의 변동에 민감한 순위점수에 기초한 검정통계량들을 제안하였다. 우산형 대립가설의 정점이 알려진 경우를 다루었으며 귀무가설과 대립가설하에서의 점근성질도 아울러 조사되었다. 모수들간의 간격이 같지않는 우산형 위치-척도모형에서 Chen-Wolfe의 동위회귀 추정량을 이용한 순위통계량에 의존한 검정법이 효율적이었으며 또한 아주 안정적이었다.

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