• Title/Summary/Keyword: Statistic analysis

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Test of Normality Based on the Transformed Lorenz Curve

  • Kang, Suk-Bok;Cho, Young-Suk
    • Communications for Statistical Applications and Methods
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    • v.6 no.3
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    • pp.901-908
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    • 1999
  • Using the Transformed Lorenz curve which is introduced by Cho et al.(1999) we propose the test statistic for testing of normality that is very important test in statistical analysis and compare the proposed test statistic with the Shapiro and Wilk's W test statistic in terms of the power of test through by Monte Carlo method.

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Face Region Detection and Verification using both WPA and Spatially Restricted Statistic (공간 제약 특성과 WPA를 이용한 얼굴 영역 검출 및 검증 방법)

  • Song, Ho-Keun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.3
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    • pp.542-548
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    • 2006
  • In this paper, we propose a face region detection/verification method using wavelet packet analysis and structural statistic for frontal human color image. The method extracts skin color lesions from input images, first. and then applies spatial restrictive conditions to the region, and determines whether the region is face candidate region or not. In second step, we find eye region in the face candidate region using structural statistic for standard korean faces. And in last step, the face region is verified via wavelet packet analysis if the face torture were satisfied to normal texture conditions.

LOCAL INFLUENCE ON THE GOODNESS-OF-FIT TEST STATISTIC IN MAXIMUM LIKELIHOOD FACTOR ANALYSIS

  • Jung, Kang-Mo
    • Journal of applied mathematics & informatics
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    • v.5 no.2
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    • pp.489-498
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    • 1998
  • The influence of observations the on the goodness-of-fit test in maximum likelihood factor analysis is investigated by using the local influence method. under an appropriate perturbation the test statistic forms a surface. One of main diagnostics is the maximum slope of the perturbed surface the other is the direction vector cor-responding to the curvature. These influence measures provide the information about jointly influence measures provide the information about jointly influential observations as well as individ-ually influential observations.

Analysis on the Amino Acid Distributions with Position in Transmembrane Proteins

  • Chi, Sang-Mun
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.745-758
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    • 2005
  • This paper presents a statistical analysis on the position-specific distributions of amino acid residues in transmembrane proteins. A hidden Markov model segments membrane proteins to produce segmented regions of homogeneous statistical property from variable-length amino acids sequences. These segmented residues are analyzed by using chi-square statistic and relative-entropy in order to find position-specific amino acids. This analysis showed that isoleucine and valine concentrated on the center of membrane-spanning regions, tryptophan, tyrosine and positive residues were found frequently near both ends of membrane.

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Analysis of Agricultural Characters to Establish the Evaluating Protocol and Standard Assessment for Genetically Modified Peppers (GM 고추의 환경위해성 평가 프로토콜 작성을 위한 농업적 형질 분석)

  • Cho, Dong-Wook;Chung, Kyu-Hwan
    • Journal of Environmental Science International
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    • v.20 no.9
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    • pp.1183-1190
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    • 2011
  • This study was aimed to establish the evaluating protocol and standard assessment for genetically modified (GM) hot pepper and to find out a proper statistic method to analyze for equality of agricultural characters between GM and non-GM pepper lines. GM and non-GM hot pepper lines were cultivated in two GMO fields in the middle region of Korea and total of 52 agricultural characters were collected during the plant growing season for 4 years, 2007 to 2010. Levene's test was conducted to confirm the homogeneity of raw data before statistic analysis. Two-way ANOVA in the multivariate tests and t-test were conducted to analyze 52 agricultural characters in order to find out the equality between H15 and P2377. From the statistical analysis through two-way ANOVA, 16 out of 16 plant growth traits, 9 out of 18 green fruit traits and 7 out of 18 red fruit traits among 4 years and 9 out of 16 plant growth traits, 4 out of 18 green fruit traits and 3 out of 18 red fruit traits between H15 and P2377 have shown the statistic differences. With the same raw data of 52 agricultural characters, t-test was also conducted. Based on the result from t-test, only 1 out of 16 plant growth traits, 2 out of 18 green fruit traits and 1 out of 18 red fruit traits have shown the differences between H15 and P2377, so that it was concluded that there is no statistic difference between H15 and P2377 in terms of agricultural characters. Also, the t-test is a proper statistic method to analyze each trait between GM and its control lines in order to evaluate agricultural characters.

A Study on Two Group Comparison in Gene Expression Data

  • Seok, Kyung-Ha;Lee, Sangfeel;Bae, Whasoo
    • Communications for Statistical Applications and Methods
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    • v.11 no.2
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    • pp.247-254
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    • 2004
  • Tusher, Tibshirani and Chu (2001) suggested SAM (Significance Analysis of Microarrays) to compare two groups under different conditions for each gene, using microarray data. They used two sample t-statistic adding fudge factor in the denominator to prevent the value of statistic from being inflated by large sample variance, which might result in significant difference despite of a small value in the numerator. This paper aims at finding robust fudge factor and replacing it in two-sample t-statistic used in SAM, which we call Modified SAM (MSAM). Using the simulated data and data used in Dudoit et al.(2002), it is shown that MSAM find significant genes better and has less error rate than SAM.

On Testing Exponentiality Against HNRBUE Based on Goodness of Fit

  • Mahmoud, M.A.W.;Diab, L.S.
    • International Journal of Reliability and Applications
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    • v.8 no.1
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    • pp.27-39
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    • 2007
  • Based on goodness of fit new testing procedures are derived for testing exponentiality against harmonic new renewal better than used in expectation (HNRBUE). For this aging properties, a nonparametric procedure (U-statistic) is proposed. The percentiles of this test statistic are tabulated for sample sizes n=5(1)30(10)50. The Pitman asymptotic efficiency (PAE) of the test is calculated and compared with, the (PAE) of the test for new renewal better than used (NRBU) class of life distribution [see Mahmoud et al (2003)]. The power of this test is also calculated for some commonly used life distributions in reliability. The right censored data case is also studied. Finally, real examples are given to elucidate the use of the proposed test statistic in the reliability analysis.

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Power analysis for 3 ${\times}$ 3 Latin square design (3 ${\times}$ 3 라틴방격모형의 검정력 분석)

  • Choi, Young-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.2
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    • pp.401-410
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    • 2009
  • Due to the characteristics of 3 ${\times}$ 3 Latin square design which is composed of two block effects and one main effect, powers of rank transformed statistic for testing the main effect are very superior to powers of parametric statistic without regard to the type of population distributions. By order of when all three effects are fixed, when on one block effect is random, when two block effects are random, the rank transform statistic for testing the main effect shows relatively high powers as compared with the parametric statistic. Further when the size of main effect is big with one equivalent size of block effect and the other small size of block effect, powers of rank transformed statistic for testing the main effect demonstrate excellent advantage to powers of parametric statistic.

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Power analysis for $2{\times}2$ factorial in randomized complete block design (블럭이 존재하는 $2{\times}2$ 요인모형의 검정력 분석)

  • Choi, Young-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.2
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    • pp.245-253
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    • 2011
  • Powers of rank transformed statistic for testing main effects and interaction effects for $2{\times}2$ factorial design in randomized complete block design are very superior to powers of parametric statistic without regard to the block size, composition method of effects and the type of population distributions such as exponential, double exponential, normal and uniform. $2{\times}2$ factorial design in RCBD increases error effects and decreases powers of parametric statistic which results in conservativeness. However powers of rank transformed statistic maintain relative preference. In general powers of rank transformed statistic show relative preference over those of parametric statistic with small block size and big effect size.

Rank transformation analysis for 4 $\times$ 4 balanced incomplete block design (4 $\times$ 4 균형불완전블럭모형의 순위변환분석)

  • Choi, Young-Hun
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.231-240
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    • 2010
  • If only fixed effects exist in a 4 $\times$ 4 balanced incomplete block design, powers of FR statistic for testing a main effect show the highest level with a few replications. Under the exponential and double exponential distributions, FR statistic shows relatively high powers with big differences as compared with the F statistic. Further in a traditional balanced incomplete block design, powers of FR statistic having a fixed main effect and a random block effect show superior preference for all situations without regard to the effect size of a main effect, the parameter size and the type of population distributions of a block effect. Powers of FR statistic increase in a high speed as replications increase. Overall power preference of FR statistic for testing a main effect is caused by unique characteristic of a balanced incomplete block design having one main and block effect with missing observations, which sensitively responds to small increase of main effect and sample size.