• Title/Summary/Keyword: small sample size

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Evaluation of Dynamic Properties of Subballast Materials Used in Korea Using Midsize Resonant Column Test Apparatus (중형 공진주 시험기를 이용한 보조도상 재료의 동적특성 정량화)

  • Lim, Yu-Jin;Sin, Joong-Hoon;Park, Kyung-Su;Park, Jae-Hak;Hwang, Jung-Kyu
    • Proceedings of the KSR Conference
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    • 2011.05a
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    • pp.1214-1221
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    • 2011
  • It is an well-known fact that dynamic properties should be considered in design and maintenance of civil structures undergoing dynamic force such as rail track. For designing of the rail tack structures, dynamic properties of track bed soil such as shear modulus (G) and damping coefficients(D) obtained in small to medium range of shear strain must be known. In general, small size sample of D=5 cm and H=10cm has been used mostly for test convenience. However, ratio of largest particle diameter of the soil to sample diameter is very important and affects to the values of dynamic soil properties in track bed. In this study, an RC/TS test apparatus was built and was run for testing a medium size soil sample that can handle with compacted soil sample up to 10 cm diameter and 20 cm height.

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The Convergence Characteristics of The Time- Averaged Distortion in Vector Quantization: Part I. Theory Based on The Law of Large Numbers (벡터 양자화에서 시간 평균 왜곡치의 수렴 특성 I. 대수 법칙에 근거한 이론)

  • 김동식
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.7
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    • pp.107-115
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    • 1996
  • The average distortio of the vector quantizer is calcualted using a probability function F of the input source for a given codebook. But, since the input source is unknown in geneal, using the sample vectors that is realized from a random vector having probability function F, a time-average opeation is employed so as to obtain an approximation of the average distortion. In this case the size of the smple set should be large so that the sample vectors represent true F reliably. The theoretical inspection about the approximation, however, is not perfomed rigorously. Thus one might use the time-average distortion without any verification of the approximation. In this paper, the convergence characteristics of the time-average distortions are theoretically investigated when the size of sample vectors or the size of codebook gets large. It has been revealed that if codebook size is large enough, then small sample set is enough to obtain the average distortion by approximatio of the calculated tiem-averaged distortion. Experimental results on synthetic data, which are supporting the analysis, are also provided and discussed.

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Estimation of the Number of the Unemployed Using Small Area Estimation Methods (소지역 추정방법을 이용한 실업자 수 추정 사례연구)

  • Kwon, Se-Hyug
    • Survey Research
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    • v.10 no.1
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    • pp.141-154
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    • 2009
  • With the current sampling scheme, the sampling variance is getting larger in producing smaller regional statistics than the designed area, The larger sample size can make the variance reduced but the efficiency of sample survey lower. The desired confidence level of sampling survey can be obtained using the current sample scheme with the same sample size and administrative data. In this paper, the number of the unemployed of 5 regions in Daejon are estimated using small area estimation methods and the CV values in each estimation method is calculated and compared for their estimation efficiency as empirical study. Jackknife method is proposed to estimate the MSE of synthetic estimator and composite estimator more accurately.

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A VSR $\bar{X}$ Chart with Multi-state VSS and 2-state VSI Scheme

  • Lee, Jae-Heon;Park, Chang-Soon
    • Journal of Korean Society for Quality Management
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    • v.32 no.4
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    • pp.252-264
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    • 2004
  • Variable sampling Interval (VSI) control charts vary the sampling interval according to value of the control statistic while the sample size is fixed. It is known that control charts with 2-state VSI scheme, which uses only two sampling intervals, give good statistical properties. Variable sample size (VSS) control charts vary the sample size according to value of the control statistic while the sampling interval is fixed. In the VSS scheme no optimal results are known for the number of sample sizes. It is also known that the variable sampling rate (VSR) $\bar{X}$ control chart with 2-state VSS and 2-state VSI scheme leads to large improvements In performance over the fixed sampling rate (FSR) $\bar{X}$ chart, but the optimal number of states for sample size Is not known. In this paper, the VSR Χ charts with multi-state VSS and 2-state VSI scheme are designed and compared to 2-state VSS and 2-state VSI scheme. The multi-state VSS scheme is considered to, achieve an additional improvement by switching from the 2-state VSS scheme. On the other hand, the multi-state VSI scheme is not considered because the 2-state scheme is known to be optimal. The 3-state VSS scheme improves substantially the sensitivity of the $\bar{X}$ chart especially for small and moderate mean shifts.

Determinants of Investment Capital Size: A Case of Small and Medium-Sized Enterprises in Vietnam

  • XUAN, Vu Ngoc
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.6
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    • pp.19-27
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    • 2020
  • This research investigates the determinants of investment capital size in Vietnam's small and medium-sized firms. The study employs a sample of 458 small and medium-sized enterprises in the country. The study is based on data collects in the areas of Hanoi, Bac Can, Buon Ma Thuot and Pleiku Provinces at time series data of October 2019. This study also identifies the factors that affect the size of investment capital in medium and small-sized enterprises in Vietnam. Data are processed via STATA 14.0 and SPSS 20.0 software. The research results indicate that (1) business lines, (2) import and export business, (3) type of business registration, (4) business location, (5) operating time, and (6) the percentage of the organization's capital contribution are factors that impact on the size of the investment capital of the business. Business line and business location have negative impacts on investment capital size. The operating time, the percentage of the organization's capital contribution, import and export business, and the type of business registration have positive impacts on investment capital size. In addition, the findings of this study also suggest that the operation time has the highest impact on investment capital size of the small and medium-sized firms in Vietnam.

Guidelines and Sample Investigation about the Texts and Icons used to deliver the Safety and Health Information in Pesticides (농약의 안전보건정보 표시 관련 가이드라인 및 표시 현황 조사)

  • Song, Young-Woong;Lim, Chang-Wook;Choi, Sang-Jun
    • Journal of the Korea Safety Management & Science
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    • v.12 no.3
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    • pp.53-60
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    • 2010
  • Texts and icons are used to deliver the safety and health information on pesticide labels. This study surveyed the standards or guidelines regarding the presentation formats of texts and icons used in pesticides. Also, the text and icon formats being used in the 50 pesticide products in Korea were investigated in the aspects of size, font (texts only), color. From the guideline survey, it was found that while the guidelines for the text fonts and colors in pesticides were suggested, there was no detailed guidelines about the text size. For the icon presentation, it was regulated that the icon size for the pesticides should be larger than $7mm{\times}7mm$, and this size was equivalent to the size when the reading distance of 28 ㎝ was applied to other two guidelines. From the sample survey of the 50 pesticides, it was found that the small text size being used in the 50 pesticides was 1mm (3pt), and this size was considered to be very difficult to be read, particularly by old people. The minimum size of the texts for the toxicity of the pesticide, the very important safety information, was found to be 1.5 mm, which is considered to be very uncomfortable to be read. The size of icons were varied from 2 to 12 mm, and the total average size was 4.6 mm. The 149 icons from a total 187 icons (80%) were smaller than the icon presentation guideline ($7mm{\times}7mm$), and the reason for the small icon size might be the small area of the label of the pesticides. Thus, more detailed guidelines for the text size and more practical guidelines for the size of icons are required.

Dependence of Weibull parameters on the diameter and the internal defects of Tyranno ZMI fiber in the strength analysis

  • Morimoto, Tetsuya;Yamamoto, Koji;Ogihara, Shinji
    • Advanced Composite Materials
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    • v.16 no.3
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    • pp.245-258
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    • 2007
  • The single-modal Weibull model has been assessed on Tyranno ZMI Si-Zr-C-O fiber if a set of shape and scale parameters accurately reproduced the effect of the size of the diameter on strength. The tensile data of a single fiber have been divided into two expedient groups as 'small diameter' group and 'large diameter' group in deriving the parameters, which should be consistent if the Weibull model accurately reproduced the size effect. However, the derived Weibull parameters were inconsistent between the two groups. Thereby the authors have concluded that the parameters of the single-modal Weibull model are dependent on the fiber diameter, so that the model is inadequate to reproduce the strength size effect. On the other hand, Weibull parameters were found consistent between the two groups by excluding the data of 'large mirror zone' sample, which was defined as the sample around 10% mirror zone area of the fracture surface. What is more, the exclusion reduced the strength variance more drastically in the 'large diameter' group than in the 'small diameter' group, even though the 'large mirror zone' samples were found identical in the percentage between the two groups. The authors therefore conclude that diameter limitation to the 'small diameter' group level can lead to drastically less distributed strength values than the estimated strength through the Weibull scaling on the present Tyranno ZMI Si-Zr-C-O fiber.

Small Area Estimation via Nonparametric Mixed Effects Model

  • Jeong, Seok-Oh;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.457-464
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    • 2012
  • Small area estimation is a statistical inference method to overcome the large variance due to the small sample size allocated in a small area. Recently some nonparametric estimators have been applied to small area estimation. In this study, we suggest a nonparametric mixed effect small area estimator using kernel smoothing and compare the small area estimators using labor statistics.

Electrochemical Properties for the Corrosion of Zinc Anode with Different Particle Size and Shape in Zinc/air Batteries (입자의 크기가 다른 아연공기전지용 아연음극의 부식에 관한 전기화학적 특성 연구)

  • Yang, Won-Geun;Hong, Jung-Eui;Oh, Rye-Gyeong;Oh, Ji-Woo;Kong, Young-Min;Ryu, Kwang-Sun
    • Journal of Powder Materials
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    • v.20 no.3
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    • pp.186-190
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    • 2013
  • The electrochemical performance for the corrosion of zinc anodes according to particle size and shape as anode in Zn/air batteries was study. We prepared five samples of Zn powder with different particle size and morphology. For analysis the particle size of theme, we measured particle size analysis (PSA). As the result, sample (e) had smaller particle size with $10.334{\mu}m$ than others. For measuring the electrochemical performance of them, we measured the cyclic voltammetry and linear polarization in three electrode system (half-cell). For measuring the morphology change of them before and after cyclic voltammetry, we measured Field Emission Scanning Electron Microscope (FE-SEM). From the cyclic voltammetry, as the zinc powder had small size, we knew that it had large diffusion coefficient. From the linear polarization, as the zinc powder had small size, it was a good state with high polarization resistance as anode in Zn/air batteries. From the SEM images, the particle size had increased due to the dendrite formation after cyclic voltammetry. Therefore, the sample (e) with small size would have the best electrochemical performance between these samples.

Effective Sample Sizes for the Test of Mean Differences Based on Homogeneity Test

  • Heo, Sunyeong
    • Journal of Integrative Natural Science
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    • v.12 no.3
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    • pp.91-99
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    • 2019
  • Many researchers in various study fields use the two sample t-test to confirm their treatment effects. The two sample t-test is generally used for small samples, and assumes that two independent random samples are selected from normal populations, and the population variances are unknown. Researchers often conduct F-test, the test of equality of variances, before testing the treatment effects, and the test statistic or confidence interval for the two sample t-test has two formats according to whether the variances are equal or not. Researchers using the two sample t-test often want to know how large sample sizes they need to get reliable test results. This research gives some guidelines for sample sizes to them through simulation works. The simulation had run for normal populations with the different ratios of two variances for different sample sizes (${\leq}30$). The simulation results are as follows. First, if one has no idea equality of variances but he/she can assume the difference is moderate, it is safe to use sample size at least 20 in terms of the nominal level of significance. Second, the power of F-test for the equality of variances is very low when the sample sizes are small (<30) even though the ratio of two variances is equal to 2. Third, the sample sizes at least 10 for the two sample t-test are recommendable in terms of the nominal level of significance and the error limit.