• Title/Summary/Keyword: percentile test

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Some versatile tests based on percentile tests

  • Park, Hyo-Il;Kim, Ju-Sung
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.2
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    • pp.291-296
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    • 2010
  • In this paper, we consider a versatile test based on percentile tests. The versatile test may be useful when the underlying distributions are unknown or quite different types. We consider two kinds of combining functions for the percentile statistics, the quadratic and summing forms and obtain the limiting distributions under the null hypothesis. Then we illustrate our procedure with an example. Finally we discuss some interesting features of the test as concluding remarks.

Percentile Envelope and Its Characteristic of Error Distribution for Supernormality

  • Lee, Jea-Young;Rhee, Seong-Won
    • Journal of the Korean Data and Information Science Society
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    • v.12 no.2
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    • pp.35-45
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    • 2001
  • We introduce a new percentile envelope for diagnosing supernormality in regression analysis. Furthermore, we compare this percentile envelope, which is much simpler and easier, with Atkinson's and Flack and Flores' envelopes. Using percentile envelope, we investigate characteristics of normal probability plots with envelope for error distributions when supernormality is occurred. We give cautions that test result for normality assumption of errors can be reached the wrong conclusion by supernormality.

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Analysis of Factors Enhancing Growth Effect of Boyangsungjang-Tang (보양성장탕 (補陽成長湯) 투여의 성장효과를 높이는 요인 분석)

  • Hong, Hyo-Shin;Lee, Jin-Yong;Kim, Deog-Gon
    • The Journal of Pediatrics of Korean Medicine
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    • v.26 no.2
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    • pp.62-71
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    • 2012
  • Objectives The purpose of this study is to analyze factors that enhance growth effect after the administration of Boyangsungjang-Tang (補陽成長湯) to children and adolescents. Methods This clinical study has been carried out with 112 children and adolescents, who visited one University Oriental Medicine Hospital Pediatric department, from January 2009 to December 2010. They were treated on height-growth with Boyangsungjang-Tang (補陽成長湯). We used modified-intend to treat analysis to examine children who had their height and weight records six months after the treatment. We use PASW Statistics 18.0 to analyze what factors (Height percentile, Weight percentile, Age, Birth weight, Frequency of taking Medicine, Period of Treatment) enhanced the growth by using t-test, one-way ANOVA, Pearson's correlation analysis. Results The mean value of the height percentile were significantly increased, $2.83{\pm}10.04$ ($36.61{\pm}27.02$ to $39.44{\pm}26.89$, P=0.004). The height percentile difference has significantly correlated with weight percentile (P<0.001) and height percentile (P<0.05). Weight less than 50 percentile (P<0.05), and treatment period more than 15 months (P<0.05) had significant impact on the height percentile differences. Conclusions If we have treated more than 15 months of Boyangsungjang-Tang (補陽成長湯) to children and adolescents whose weight are less than 50 percentile, we would have expected their height percentile to increase as $5.72{\pm}10.64$.

Methods and Sample Size Effect Evaluation for Wafer Level Statistical Bin Limits Determination with Poisson Distributions (포아송 분포를 가정한 Wafer 수준 Statistical Bin Limits 결정방법과 표본크기 효과에 대한 평가)

  • Park, Sung-Min;Kim, Young-Sig
    • IE interfaces
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    • v.17 no.1
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    • pp.1-12
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    • 2004
  • In a modern semiconductor device manufacturing industry, statistical bin limits on wafer level test bin data are used for minimizing value added to defective product as well as protecting end customers from potential quality and reliability excursion. Most wafer level test bin data show skewed distributions. By Monte Carlo simulation, this paper evaluates methods and sample size effect regarding determination of statistical bin limits. In the simulation, it is assumed that wafer level test bin data follow the Poisson distribution. Hence, typical shapes of the data distribution can be specified in terms of the distribution's parameter. This study examines three different methods; 1) percentile based methodology; 2) data transformation; and 3) Poisson model fitting. The mean square error is adopted as a performance measure for each simulation scenario. Then, a case study is presented. Results show that the percentile and transformation based methods give more stable statistical bin limits associated with the real dataset. However, with highly skewed distributions, the transformation based method should be used with caution in determining statistical bin limits. When the data are well fitted to a certain probability distribution, the model fitting approach can be used in the determination. As for the sample size effect, the mean square error seems to reduce exponentially according to the sample size.

Two Sequential Wilcoxon Tests for Scale Alternatives

  • Mishra, Prafulla-Chandra
    • Journal of the Korean Statistical Society
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    • v.30 no.4
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    • pp.679-691
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    • 2001
  • Two truncated sequential tests are developed for the two-sample scale problem based on the usual Wilcoxon rank-sum statistic for two different dispersion indices - absolute median deviations, when the medians of the two populations X and Y are equal or known and sums of squared mean deviations, when the medians are either unknown or unequal. The first test is briefly called SWAMD test and the second SWSMD test. For the SWAMD test, the percentile points for both the one-sided and two-sided alternatives, (equation omitted) have been found by Wiener approximation and their values computed for a range of values of a and N; analytical expression for the power function has been derived through Wiener process and its performance studied for various sequential designs for exponential distribution. This test has been illustrated by a numerical example. All the results of the SWAMD test, being directly applicable to the SWSMD test, are not dealt with separately Both the tests are compared and their suitable applications indicated.

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The Relationship between Stress Response and Oxidative Stress among Healthy Volunteers (정상인에서의 스트레스 반응 정도와 산화스트레스 사이의 상관관계 연구)

  • Byun, Soon-Im;Kim, Ji-Young;Cho, Seung-Hun;Kim, Jong-Woo;Hwang, Wei-Wan
    • Journal of Society of Preventive Korean Medicine
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    • v.13 no.2
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    • pp.27-38
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    • 2009
  • Objective : This study was to examine a relationship among subjective psychological stress, physical stress response and oxidative stress. Methods : The subjects were consisted of 87 healthy volunteers. To assess subjective psychological stress, SRI(stress response inventory) was completed. To assess psychological and physical stress response, HRV(Heart Rate Variability) were tested. To assess oxidative stress, d-roms(Derivatives of reactive oxygen metabolites test) test was conducted. Subjects were divided into 3 groups depending on SRI(Stress Response Inventory) score, low stress response(LSR: lower than 30 percentile), Medium(MSR: 30-70 percentile) and high stress response(HSR: higher than 70 percentile). The Relationship between Stress Response and Oxidative Stress was estimated by correlation and One-way ANOVA analysis. Results : There were no significant differences of demographic data among 3 groups. There was a significant difference of oxidative stress among 3 groups. Conclusion : Our results suggest that there is a weak positive correlation between subjective psychological stress and oxidative stress. There is a significant difference of oxidative stress between HSR group and LSR group.

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A Study on the Quality Improvement of College Scholastic Ability Test Scoring System (대학수학능력시험 점수산정시스템의 품질 제고를 위한 연구)

  • Park, Youngsun
    • Journal of Korean Society for Quality Management
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    • v.50 no.2
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    • pp.199-220
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    • 2022
  • Purpose: The purpose of this study is to analyze the score data released by the Korea Institute of Curriculum and Evaluation to find out the problems with the current scoring system provided by the College Scholastic Ability Test and to suggest improvement measures to solve these problems. Methods: We calculated the descriptive statistics of the standard scores using the frequency distribution table of the standard scores and identified the characteristics of the standard scores by expressing the distribution as a graph. Also, we developed an index to evaluate whether each stanine level was stably assigned and calculated the indexes for each area/subject by using the data on the number of examinees for each level. Results: We found that the relationship of conversion from raw scores to integerized standard scores is different depending on the size of the standard deviation of the raw scores, and identified the problem that the raw score information is not fairly reflected in the calculation of the percentile and level as the two raw scores are converted to one standard score. This problem can be solved by calculating the standard score to a decimal point. Conclusion: In this study, as a way to improve the quality of the scores of the current CSAT, the standard score and percentile decimal notation, the specific regulations of the standard score and stanine level calculation method, and the expansion of the open range of the scores were suggested.

Comparison and Evaluation of Performance for Standard Control Limits and Bootstrap Percentile Control Limits in $\bar{x}$ Control Chart ($\bar{x}$ 관리도의 표준관리한계와 부트스트랩 백분률 관리한계의 수행도 비교평가)

  • 송서일;이만웅
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.52
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    • pp.347-354
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    • 1999
  • Statistical Process Control(SPC) which uses control charts is widely used to inspect and improve manufacturing process as a effective method. A parametric method is the most common in statistical process control. Shewhart chart was made under the assumption that measurements are independent and normal distribution. In practice, this assumption is often excluded, for example, in case of (equation omitted) chart, when the subgroup sample is small or correlation, it happens that measured data have bias or rejection of the normality test. A bootstrap method can be used in such a situation, which is calculated by resampling procedure without pre-distribution assumption. In this study, applying bootstrap percentile method to (equation omitted) chart, it is compared and evaluated standard process control limit with bootstrap percentile control limit. Also, under the normal and non-normal distributions, where parameter is 0.5, using computer simulation, it is compared standard parametric with bootstrap method which is used to decide process control limits in process quality.

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Development of Finite Element Model of Hybrid III 5th Percentile Female Dummy (Hybrid III 5% 성인 여성 더미의 유한요소 모델 개발)

  • Yi, Sang-Il;Mohan, Pradeep K.;Kan, Cing-Dao Steve;Park, Gyung-Jin
    • Transactions of the Korean Society of Automotive Engineers
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    • v.18 no.4
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    • pp.18-30
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    • 2010
  • As the automobile industry is developing, the number of deaths and injuries has increased. To reduce the damages from automobile accidents, the government of each country proposes experimental conditions for reproducing the accident and establishes the vehicle safety regulations. Automotive manufacturers are trying to make safer vehicles by satisfying the requirements. The Hybrid III crash test dummy is a standard Anthropomorphic Test Device (ATD) used for measuring the occupant's injuries in a frontal impact test. Since a real crash test using a vehicle is fairly expensive, a computer simulation using the Finite Element Method (F.E.M.) is widely used. Therefore, a detailed and robust F.E. dummy model is needed to acquire more accurate occupant injury data and behavior during the crash test. To achieve this goal, a detailed F.E. model of the Hybrid III 5th percentile female dummy is constructed by using the reverse engineering technique in this research. A modeling process is proposed to construct the F.E. model. The proposed modeling process starts from disassembling the physical dummy. Computer Aided Design (CAD) geometry data is constructed by three-dimensional (3-D) scanning of the disassembled physical dummy model. Based on the geometry data, finite elements of each part are generated. After mesh generation, each part is assembled with other parts using the joints and rigid connection elements. The developed F.E. model of dummy is simulated based on the FMVSS 572 validation regulations. The results of simulation are compared with the results of physical tests.

Experimental analysis of whiplash injury with hybrid III 50 percentile test dummy

  • Gocmen, Ulas;Gokler, Mustafa Ilhan
    • Advances in Automotive Engineering
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    • v.1 no.1
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    • pp.61-77
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    • 2018
  • In this study, the effects of sitting position of the driver on the whiplash neck injury have been analyzed experimentally by using hybrid III series 50 percentile male crash test dummy. A testing platform consisting of vehicle ground, driver foot rest, driver seat and a 3-point seatbelt has been prepared. This testing platform and the instrumented crash test dummy are prepared for tests according to the Euro NCAP whiplash testing protocol. The prepared test set-up has been exposed to 3 different acceleration-time loading curves defined in the Euro NCAP whiplash testing protocol by performing sled tests. 9 different sled tests have been performed with the combinations of 3 different seating positions of the crash test dummy and 3 different acceleration-time loading curves. The sensor data obtained from the crash test dummy and high-speed videos taken are analyzed according to the injury assessments criteria defined in the Euro NCAP whiplash testing protocol and the criticality of the whiplash injury is defined. It is seen that the backset distance of the driver head with the headrest and the height difference of the top of the head of the driver with the headrest have a great importance on whiplash injuries.