• Title/Summary/Keyword: Statistical hypothesis

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Statistical division of compressive strength results on the aspect of concrete family concept

  • Jasiczak, Jozef;Kanoniczak, Marcin;Smaga, Lukasz
    • Computers and Concrete
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    • v.14 no.2
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    • pp.145-161
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    • 2014
  • The article presents the statistical method of grouping the results of the compressive strength of concrete in continuous production. It describes the method of dividing the series of compressive strength results into batches of statistically stable strength parameters at specific time intervals, based on the standardized concept of "concrete family". The article presents the examples of calculations made for two series of concrete strength results, from which sets of decreased strength parameters were separated. When assessing the quality of concrete elements and concrete road surfaces, the principal issue is the control of the compressive strength parameters of concrete. Large quantities of concrete mix manufactured in a continuous way should be subject to continuous control. Standardized approach to assessing the concrete strength proves to be insufficient because it does not allow for the detection of subsets of the decreased strength results, which in turn makes it impossible to make adjustments to the concrete manufacturing process and to identify particular product or area on site with decreased concrete strength. In this article two independent methods of grouping the test results of concrete with statistically stable strength parameters were proposed, involving verification of statistical hypothesis based on statistical tests: Student's t-test and Mann - Whitney - U test.

Statistical Analysis of 3D Volume of Red Blood Cells with Different Shapes via Digital Holographic Microscopy

  • Yi, Faliu;Lee, Chung-Ghiu;Moon, In-Kyu
    • Journal of the Optical Society of Korea
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    • v.16 no.2
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    • pp.115-120
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    • 2012
  • In this paper, we present a method to automatically quantify the three-dimensional (3D) volume of red blood cells (RBCs) using off-axis digital holographic microscopy. The RBCs digital holograms are recorded via a CCD camera using an off-axis interferometry setup. The RBCs' phase image is reconstructed from the recorded off-axis digital hologram by a computational reconstruction algorithm. The watershed segmentation algorithm is applied to the reconstructed phase image to remove background parts and obtain clear targets in the phase image with many single RBCs. After segmenting the reconstructed RBCs' phase image, all single RBCs are extracted, and the 3D volume of each single RBC is then measured with the surface area and the phase values of the corresponding RBC. In order to demonstrate the feasibility of the proposed method to automatically calculate the 3D volume of RBC, two typical shapes of RBCs, i.e., stomatocyte/discocyte, are tested via experiments. Statistical distributions of 3D volume for each class of RBC are generated by using our algorithm. Statistical hypothesis testing is conducted to investigate the difference between the statistical distributions for the two typical shapes of RBCs. Our experimental results illustrate that our study opens the possibility of automated quantitative analysis of 3D volume in various types of RBCs.

QUALITY IMPROVEMENT FOR EXPERT BASE WITH CONTROL CHART TECHNIQUES

  • Liu Yumin;Xu Jichao
    • Proceedings of the Korean Society for Quality Management Conference
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    • 1998.11a
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    • pp.189-197
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    • 1998
  • The axiomatic hypothesis of the objective distribution of evaluation subjection will be proposed in this paper. On the basis of that, set up the random response model of the expert evaluation system and the quality control principle of expert base. Under this principle, develop the statistical quality control theory of expert base, further; provide the quality improvement technology for expert base.

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A Study of The Useful of Techniques for The Organization Development (조직개발을 위한 기법의 유용성에 관한 연구)

  • 정수진;고종식
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.19 no.37
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    • pp.279-288
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    • 1996
  • The purpose of this study is to investigate the usefulness of organizational development techniques for the behavioral change of employees and to inform organizational developer useful information for decision making. The scope of this study be limited to the techniques for the individual behavioral change among the organizational development The methodology of this study used the questionaire, and the sampling objected to the white class of manufactures. To verify the hypothesis, statistical methods used are Regression Analysis, T-test, Chi- square.

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k-Sample Rank Procedures for Ordered Location-Scale Alternatives

  • Park, Hee-Moon
    • Journal of Korean Society for Quality Management
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    • v.22 no.2
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    • pp.166-176
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    • 1994
  • Some rank score tests are proposed for testing the equality of all sampling distribution functions against ordered location-scale alternatives in k-sample problem. Under the null hypothesis and a contiguous sequence of ordered location-scale alternatives, the asymptotic properties of the proposed test statistics are investigated. Also, the asymptotic local powers are compared with each others. The results show that the proposed tests based on the Hettmansperger-Norton type statistic are more powerful than others for the general ordered location-scale alternatives. However, the Shiraishi's tests based on the sum of two Bartholomew's rank analogue statistics are robust.

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A Study on the Two Equal Tail Critical Region for the Testing Statistical Hypothesis (통계적 가설검정에 있어서의 등측기각역에 관한 고찰)

  • 김광섭
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.5 no.7
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    • pp.25-27
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    • 1982
  • In most introductory statistics courses and text, the two equal tail test is presented without justification. In the present paper, the two equal tail critical region will be discussed in the light of unbiasedness with some test examples for the mean and the variance based on the random sample $X_1$, $X_2$,....$X_n$ from N($\mu$, $\delta^2$) using only elementary mathematics.

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Impact of Outliers on the Statistical Measures of the Environmental Monitoring Data in Busan Coastal Sea (이상자료가 연안 환경자료의 통계 척도에 미치는 영향)

  • Cho, Hong-Yeon;Lee, Ki-Seop;Ahn, Soon-Mo
    • Ocean and Polar Research
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    • v.38 no.2
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    • pp.149-159
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    • 2016
  • The statistical measures of the coastal environmental data are used in a variety of statistical inferences, hypothesis tests, and data-driven modeling. If the measures are biased, then the statistical estimations and models may also be biased and this potential for bias is great when data contain some outliers defined as extraordinary large or small data values. This study aims to suggest more robust statistical measures as alternatives to more commonly used measures and to assess the performance these robust measures through a quantitative evaluation of more typical measures, such as in terms of locations, spreads, and shapes, with regard to environmental monitoring data in the Busan coastal sea. The detection of outliers within the data was carried out on the basis of Rosner's test. About 5-10% of the nutrient data were found to contain outliers based on Rosner's test. After removal (zero-weighting) of the outliers in the data sets, the relative change ratios of the mean and standard deviation between before and after outlier-removal conditions revealed the figures 13 and 33%, respectively. The variation magnitudes of skewness and kurtosis are 1.36 and 8.11 in a decreasing trend, respectively. On the other hand, the change ratios for more robust measures regarding the mean and standard deviation are 3.7-10.5%, and the variation magnitudes of robust skewness and kurtosis are about only 2-4% of the magnitude of the non-robust measures. The robust measures can be regarded as outlier-resistant statistical measures based on the relatively small changes in the scenarios before and after outlier removal conditions.

Bayesian Test of Quasi-Independence in a Sparse Two-Way Contingency Table

  • Kwak, Sang-Gyu;Kim, Dal-Ho
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.495-500
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    • 2012
  • We consider a Bayesian test of independence in a two-way contingency table that has some zero cells. To do this, we take a three-stage hierarchical Bayesian model under each hypothesis. For prior, we use Dirichlet density to model the marginal cell and each cell probabilities. Our method does not require complicated computation such as a Metropolis-Hastings algorithm to draw samples from each posterior density of parameters. We draw samples using a Gibbs sampler with a grid method. For complicated posterior formulas, we apply the Monte-Carlo integration and the sampling important resampling algorithm. We compare the values of the Bayes factor with the results of a chi-square test and the likelihood ratio test.

Test for Discontinuities in Nonparametric Regression

  • Park, Dong-Ryeon
    • Communications for Statistical Applications and Methods
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    • v.15 no.5
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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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    • v.5 no.2
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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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