• Title/Summary/Keyword: Test of Normality

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A Moment Inequality for Exponential Better (Worse) Than Used EBU (EWU) Life Distributions with Hypothensis Testing Application

  • Abu-Youssef, S.E.
    • International Journal of Reliability and Applications
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    • v.5 no.4
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    • pp.105-113
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    • 2004
  • The exponential better (worse) than used EBU (EWU) class of life distributions is considered. A moment inequality is derived for EBU (EWU) distributions which demonstrate that if the mean life is finite, then all moments exist. Based on this inequality, a new test statistic for testing exponentiality against EBU (EWU) is introduced. It is shown that the proposed test is simple, enjoys good power and has high relative efficiency for some commonly used alternatives. Critical values are tabulated for sample sizes n = 5(1)40. A set of real data is used as a practical application of the proposed test in the medical science.

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A Moment Inequality on New Renewal Better Than Used in Expectation Class of Life Distributions with Hypothesis Testing Application

  • Abu-Youssef, S.E.
    • International Journal of Reliability and Applications
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    • v.4 no.4
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    • pp.191-199
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    • 2003
  • In the present work, a moment inequality is derived for new renewal better (worse) than used in expectation(NRBUE) (NRWUE) distributions. This inequality demonstrates that if the mean life is finite then all higher order moments exist. A new test statistics for testing exponentiality against NRBUE (NRWUE) is introduced based on this inequality. It is shown that the proposed test is simple and has high relative efficiency for some commonly used alternatives. Critical values are tabulated for sample sizes n = 5(1)30. A set of real data is used as an example to elucidate the use of the proposed test statistics for practical reliability analysis.

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Behavioural experiments of Pacific giant octopus (Enteroctopus dofleini) to wooden octopus pot in the tank (동해안 대문어(Enteroctopus dofleini)의 문어상자 행동 실험)

  • KIM, Pyungkwan;SEO, Youngil;JEONG, Seong-Jae;YANG, Jaehyeong
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.58 no.3
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    • pp.199-204
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    • 2022
  • The Pacific giant octopus (Enteroctopus dofleini) is one of the most important species in the East Sea fishery of Korea. The annual production of Pacific giant octopus in 2021 was 3,880 metric ton between Gangwon province and Gyeongsangbuk province. Most of the fishing gears for the octopus fishery were based on behavioral properties such as thigmotaxis and chemotaxis. Wooden octopus box is also one of the fishing gears, which is application of thigmotaxis for the octopus capture in fishing industry. In this study, the tank experiments were designed to examine the behaviour and the effect of surface roughness to the infiltration of the octopus quantitatively. Three different types of octopus boxes were used for the experiments with different surface roughness on the average of 701.6 ㎛, 141.7 ㎛ and 2.09 ㎛ for each gear. 22 trials were conducted from June to September 2021. The normality of the experiments was tested using Shapiro-Wilk normality test (p-value < 0.05). The significance of results was conducted by Kruskal-Wallis rank sum test (Chi-squarded = 21, Degree of freedom = 3, p-value < 0.05). The use of wooden octopus box with rough surface was found to enhance the catch efficiency and observe infiltration behaviour of the octopus frequently.

Evaluation of repeated measurement stability of dentition type of maxillary anterior tooth: an in vitro study (상악 전치의 치열 형태에 따른 스캔 반복 측정 안정성 평가: in vitro 연구)

  • Park, Dong-In;Son, Ho-Jung;Kim, Woong-Chul;Kim, Ji-Hwan
    • Journal of Technologic Dentistry
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    • v.41 no.3
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    • pp.211-217
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    • 2019
  • Purpose: The purpose of this study is to evaluate the repeated measurement stability of scans related to dentition type. Methods: A normal model and the crowding and diastema models are also duplicated using duplicating silicon. After that, a plaster model is made using a plaster-type plaster on the duplicate mold, and each model is scanned 5 times by using an extraoral scanner. The gingival part and molar part were deleted from the 3D STL file data obtained through scanning. Using the 3D stl file obtained in this way, data is nested between model groups. Thereafter, RMS values obtained were compared and evaluated. The normality test of the data was performed for the statistical application of repeated measurements with dentition type, and the normality was satisfied. Therefore, the one-way ANOVA test, which is a parametric statistical method, was applied, and post-tests were processed by the Scheffe method. Results: The average size of each RMS in the Normal, Diastema, and Crowding groups was Normal> Crowding> Diastema. However, the standard deviation was in the order of Crowding> Normal> Diastema. The average value of each data is as follows. Diastema model was the smallest ($5.51{\pm}0.55{\mu}m$), followed by the crowding model ($12.30{\pm}2.50{\mu}m$). The normal model showed the maximum error ($13.23{\pm}1.06{\mu}m$). Conclusion: There was a statistically significant difference in the repeatability of the scanning measurements according to the dentition type. Therefore, you should be more careful when scanning the normal intense or crowded dentition than scanning the interdental lining. However, this error value was within the range of applicable errors for all clinical cases.

Correlations Between the Physical Properties and Consolidation Parameter of West Shore Clay (서해안 점토의 물리적 특성과 압밀정수의 상관성)

  • Heo, Yeol;Hwang, Insang;Kang, Changwoo;Bae, Wooseok
    • Journal of the Korean GEO-environmental Society
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    • v.16 no.4
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    • pp.33-40
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    • 2015
  • In the correlation formulas related to consolidation proposed at present, the analyzed areas are limited to certain overseas or domestic areas and in order to increase the number of data, experimental data of different areas are integrated and therefore in many cases application is difficult. In addition, models have been developed without clear statistic evaluation of the obtained data. Accordingly, this study divided the soft areas of the west coast into Hangang, Kumgang and Yeongsangang in order to maximally reduce uncertainty of the experimental data and performed normality test and regression analysis on the physical and dynamic characteristics. According to the analysis result, the compression index and the modified compression index had strong linearity and in all areas modified compression index and initial void ratio had closest correlation, followed by total unit weight, water contents and liquid limits. As for overconsolidation ratio with depth, the width of overconsolidation ratio was large when the depth was less than 5 to 6 m in all areas and when the depth was over 5 to 6 m, the ratio was constant.

Changes in cognitive, concentration and performance in Bowling player Associated with Magnesium Water Supplementation (마그네슘 음료 섭취에 따른 볼링선수들의 인지기능과 집중력 및 경기력의 변화)

  • Kim, Kwan Kyu;Chung, Young Hee;Nam, Jung Hoon;Cho, In Ho;Park, Noh Hwan;Lim, Byung Yun
    • The Journal of the Convergence on Culture Technology
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    • v.5 no.1
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    • pp.333-339
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    • 2019
  • The purpose of this study is to clarify the effect of magnesium water on the cognitive function, concentration and performance of bowling players. The total number of subjects in this study was 42, and changes in blood magnesium concentration, cognitive ability, concentration and performance were identified during the four-week experiment period. Data distribution was analyzed using SPSS18.0 with Normality test and Repeated measure two way ANOVA. Studies show that the concentration of magnesium in the blood of bowling players has changed with the intake of magnesium drinks, and that the concentration of magnesium in the blood has a proportional relationship with the cognitive function, concentration and performance.

A Study on Teaching Method of Two-Sample Test for Population Mean Difference (두 모집단 모평균 비교의 지도에 관한 연구)

  • Kim Yong-Tae;Lee Jang-Taek
    • The Mathematical Education
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    • v.45 no.2 s.113
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    • pp.145-154
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    • 2006
  • The main purpose of this study is to investigate the effect of departures from normality and equal variance on the two-sample test when the variances are unknown. We have found that type I error brought about a little bit change which is ignorable in relation to kurtosis. But the change of type I error was mainly based on the skewness of the parent population. In introductory statistics classes where data analysis includes techniques for detecting skewness of two populations, we recommend the two-sample t-test when maximal skewness of two populations is smalter than the value 4 when the variances seem equal. Furthermore, our simulations reveal that the two-sample t-test appears somewhat more robust than that of z-test if the assumption of equal variance is satisfied. In the case of unequal variance, the two-sample t-test appears somewhat more robust provided the t-statistic using Satterthwaite's approximate degrees of freedom.

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Revisiting the Effect of Financial Elements on Stock Performance Using Corporate Social Responsibility Cost Growth

  • JOUHA, Faraj;ALBAKAY, Khalleefah;GHOZALI, Imam;HARTO, Puji
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.1
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    • pp.767-780
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    • 2021
  • The purpose of this research is to analyze the effect of financial elements (asset growth, liability growth, equity growth, revenue growth, and profit growth) on stock price performance and to analyze the growth of Corporate Social Responsibility (CSR) costs as a moderating effect. The technique analysis used is regression analysis. Samples in this analysis are manufacturing firms listed on the Indonesian Stock Exchange (IDX) for the period 2014-2018. The use of regression models for hypothesis testing must fulfill several applicable assumptions such as Normality Test, Heteroscedasticity Test, Multicollinearity Test, Autocorrelation Test, Model Fit Test, Determination Coefficient Test, and Hypothesis Test. Data analysis used two research models, namely model 1 and model 2. Model 1 is without the moderating variable, and model 2 is with the moderating variable, that is, CSR cost growth. Based on the result of the regression analysis, it can be inferred that the asset, revenue, and profit growth have a positive impact on stock price results. Liabilities and equity growth do not affect stock price performance. Operating expense growth has a significant effect on price performance. CSR cost growth can moderate the effect of growth in financial statement elements on stock price performance but is not significant.

The color stability and antibacterial of provisional polyethyl methacrylate (PEMA) resin with zirconia nanoparticles (지르코니아 나노입자 첨가된 PEMA (Polyethyl Methacrylate)레진 표면의 색안정성 및 항균평가)

  • Kim, Hee-Seon;Lee, Seon-Ki;Jang, Woohyung;Park, Chan;Lim, Hyun-Pil
    • Journal of Dental Rehabilitation and Applied Science
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    • v.38 no.1
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    • pp.18-25
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    • 2022
  • Purpose: This study aimed to evaluate the color stability and antibacterial properties of the surface of polyethyl methacrylate (PEMA) resin with zirconia nanoparticles added. Materials and Methods: The control group was pure PEMA resin, and the experiment group was PEMA resin 15 mm in diameter and 2.5 mm in thickness disk-shaped specimens with 2, 4 and 8 w/v% of zirconia nanoparticles added, which were respectively divided into Group Z2, Group Z4, and Group Z8. After analyzing the surface roughness and color stability of the specimens, their antibacterial properties were evaluated using Porphyromonas gingivalis (P. gingivalis). The Statistical analysis was performed using when normality was met in the Shapiro-Wilk test, one-way ANOVA was used to test parameters, and Tukey's test was used as a post hoc test. When normality was not met, the Kruskal-Wallis test, a non-parametric test was used (P < 0.05). Results: The surface roughness measurement found that there was no significant difference between the experimental and control groups. The color stability evaluation showed that the Z2, Z4, and Z8 groups were within the color range of natural teeth. The adhesion of P. gingivalis was evaluated to be significantly reduced in Group Z2 compared to the control group (P < 0.05). In the Z2 group, Z4 group, and Z8 group, dead cells bacteria than the control group were observed. Conclusion: In conclusion, PEMA resin with zirconia nanoparticles added was within the range of natural teeth in color and reduced the adhesion of P. gingivalis.

Estimating On-road NOx Emissions of Euro 6 Light-duty Diesel Vehicles (Euro6 소형 경유자동차의 실제 도로 주행 NOx 배출량 평가)

  • Park, Yeon-Jae;Park, Junhong;Lee, Jai-Young
    • Journal of ILASS-Korea
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    • v.21 no.4
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    • pp.207-213
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    • 2016
  • To protect air pollution of urban area from motor vehicles, emission limits for diesel vehicles have been dramatically lowered in short period. But recent studies have shown that on-road NOx emissions of light-duty diesel vehicles are considerably higher than the values measured with laboratory test procedures used for emission certification. To tackle with this issue, Ministry of Environment have a plan to introduce EU RDE-LDV (Real-driving Emission-Light-duty Vehicle) regulation. In this study, 4 Euro 6 diesel vehicles have been tested with the new test procedures published by EU to estimate on-road NOx emissions using PEMS (Portable Emission Measurement System). The results have shown that the requirements of EU RDE-LDV could be met in driving condition of metropolitan area for constitution of test routes and validity of test results. In analysing with Moving Averaging Window method the completeness and normality of test data were validated with the requirement. On-road NOx emissions were quite deviated as test vehicles and higher than the new limit of on-road NOx emission enforced from Sept. 2017, which means that RDE-LDV can effectively reduce NOx emission of diesel vehicles in real driving conditions of Korea.