• Title/Summary/Keyword: Length of Sample

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Estimation in the exponential distribution under progressive Type I interval censoring with semi-missing data

  • Shin, Hyejung;Lee, Kwangho
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.6
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    • pp.1271-1277
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    • 2012
  • In this paper, we propose an estimation method of the parameter in an exponential distribution based on a progressive Type I interval censored sample with semi-missing observation. The maximum likelihood estimator (MLE) of the parameter in the exponential distribution cannot be obtained explicitly because the intervals are not equal in length under the progressive Type I interval censored sample with semi-missing data. To obtain the MLE of the parameter for the sampling scheme, we propose a method by which progressive Type I interval censored sample with semi-missing data is converted to the progressive Type II interval censored sample. Consequently, the estimation procedures in the progressive Type II interval censored sample can be applied and we obtain the MLE of the parameter and survival function. It will be shown that the obtained estimators have good performance in terms of the mean square error (MSE) and mean integrated square error (MISE).

A Study on the Effects of Percutaneous Transluminal Coronary Angioplasty and Pediatric Heart Surgery on the Differences of Risk-Adjusted Length of Stay and In-Hospital Death for Coronary Artery Bypass Graft Patients (관상동맥우회로술(CABG)환자의 재원일수와 병원 내 사망률 변이에 대한 경피적관상동맥성형술(PTCA)과 소아심장수술(PHS)의 영향분석)

  • Kim, Da-Yang;Lee, Kwang-Soo
    • The Korean Journal of Health Service Management
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    • v.8 no.4
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    • pp.47-55
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    • 2014
  • The purpose of this study was to analyze the differences in the outcome for CABG according to whether hospitals provided heart related surgeries. The 2011 National Inpatient Sample (NIS) and inpatient quality indicator principles from the Healthcare Research and Quality (AHRQ) were used for analysis. Hospitals were divided into three groups according to the surgeries they provided. The length of stay and in-hospital deaths were adjusted for the differences in risks. ANOVA was performed to examine the differences for the risk-adjusted in-hospital mortality rate and risk-adjusted length of stay among the three groups. The analysis results showed that hospitals providing CABG, PTCA, and PHS had lower risk-adjusted in-hospital mortality rates or similar risk-adjusted lengths of stay compared to those of hospitals providing only CABG. However, the three groups did not have statistically significant differences in outcome indicators. Another study will be needed with a larger sample.

Electro-Optical Characteristics of an ICP Light Source Depending on Driving Temperature and Length of Discharge Tube (구동 온도와 방전관 길이에 따른 ICP 광원의 전기.광학적 특성)

  • Yim, Youn-Chan;Park, Dae-Hee
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.4
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    • pp.107-113
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    • 2008
  • We investigated the electro-optical characteristics of an ICP(Inductively Coupled Plasma) light source depending on driving temperature, and length of discharge tube. An electro-optical stability of a sample at operating was measured to see a steady state of a sample. In this results, we can see that a stability of power loss and luminous flux of a sample at operating of upper 70[min] was 1.45[%1 and 0.36[%]. We measured the optical characteristics of a sample in a thermal chamber operated at a specific temperature divided into 5 steps. While luminance increased with temperature increasing, the decrement of luminance a eared at u or $46.7[^{\circ}C]$. According to Parchen's and Boyle-Charles' law, we can speculate that a pressure was increased and a higher voltage was needed but a ballaster having a rating power can't support a higher voltage corresponding to a pressure change, 0.02[Torr] at $46.7[^{\circ}C]$. Moreover, we measured an a lied power and current of samples depending to a various length of a discharge tube.

Sample size calculations for clustered count data based on zero-inflated discrete Weibull regression models

  • Hanna Yoo
    • Communications for Statistical Applications and Methods
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    • v.31 no.1
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    • pp.55-64
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    • 2024
  • In this study, we consider the sample size determination problem for clustered count data with many zeros. In general, zero-inflated Poisson and binomial models are commonly used for zero-inflated data; however, in real data the assumptions that should be satisfied when using each model might be violated. We calculate the required sample size based on a discrete Weibull regression model that can handle both underdispersed and overdispersed data types. We use the Monte Carlo simulation to compute the required sample size. With our proposed method, a unified model with a low failure risk can be used to cope with the dispersed data type and handle data with many zeros, which appear in groups or clusters sharing a common variation source. A simulation study shows that our proposed method provides accurate results, revealing that the sample size is affected by the distribution skewness, covariance structure of covariates, and amount of zeros. We apply our method to the pancreas disorder length of the stay data collected from Western Australia.

Determination on the Optimal Sample Size in the Aquatic Insect Community Analysis - Pangtae Creek Model (수서곤충 군집분석에 있어서 최적표본크기의 결정 - 방태천 모형)

  • 윤일병;노태호;이성진;박재홍;배연재
    • The Korean Journal of Ecology
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    • v.21 no.5_1
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    • pp.409-418
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    • 1998
  • A molel study was conducted to determine the optimal sample size for the analysis of the aquatic insect community in a stream reach of the Pangtae Creek, Kangwon-do in October 1995 and may 1996. The results showed that the required minimum sample size varied and depended on the purposes of the community analysis. Acoording to the Species: Area Curve method, at least 16 Surber samplings ($30{\times}30cm$) were required in a stream reach in each spring and fall survey. The species diversity index did not vary significantly as the sample size increased. Based on the coefficient of variation analysis, the minimum sample sizes of 10 were required in order to compare seasonal differences of the community in the study area. Considering the static community structure of aquatic insects, including both species numbers and individual numbers of aquatic insects, 11 and 7 samplings were optimal sizes for the fall and spring survey, respectively. We concluded that 12 Surber samplings from 3 riffle-pool sequences (4 samplings at each riffle-pool sequence) would be required in a stream reach (length 1 km) to obtain reliable as well as cost efficient data. Our model showed that the optimal sample size should be determined by interactions between minimum sample size, the degree of data reliability, and cost efficiency.

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Anthropometry for clothing construction and cluster analysis ( I ) (피복구성학적 인체계측과 집낙구조분석 ( I ))

  • Kim Ku Ja
    • Journal of the Korean Society of Clothing and Textiles
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    • v.10 no.3
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    • pp.37-48
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    • 1986
  • The purpose of this study was to analyze 'the natural groupings' of subjects in order to classify highly similar somatotype for clothing construction. The sample for the study was drawn randomly out of senior high school boys in Seoul urban area. The sample size was 425 boys between age 16 and 18. Cluster analysis was more concerned with finding the hierarchical structure of subjects by three dimensional distance of stature. bust girth and sleeve length. The groups forming a partition can be subdivided into 5 and 6 sets by the hierarchical tree of the given subjects. Ward's Minimum Variance Method was applied after extraction of distance matrix by the Standardized Euclidean Distance. All of the above data was analyzed by the computer installed at Korea Advanced Institute of Science and Technology. The major findings, take for instance, of 16 age group can be summarized as follows. The results of cluster analysis of this study: 1. Cluster 1 (32 persons means $18.29\%$ of the total) is characterized with smaller bust girth than that of cluster 5, but stature and sleeve length of the cluster 1 are the largest group. 2. Cluster 2 (18 Persons means $10.29\%$ of the total) is characterized with the group of the smallest stature and sleeve length, but bust girth larger than that of cluster 3. 3. Cluster 3(35persons means $20\%$ of the total) is classified with the smallest group of all the stature, bust girth and sleeve length. 4. Cluster 4(60 persons means $34.29\%$ of the total) is grouped with the same value of sleeve length with the mean value of 16 age group, but the stature and bust girth is smaller than the mean value of this age group. 5. Cluster 5(30 persons means $17.14\%$ of the total) is characterized with smaller stature than that of cluster 1, and with larger bust girth than that of cluster 1, but with the same value of the sleeve length with the mean value of the 16 age group.

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Channel Design of Decanter-Type Centrifuge (II) - Particles' Sediment and the Bowl Length (원심분리기의 채널 설계(II) - 입자의 침강문제와 보울 길이)

  • 서용권
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.11
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    • pp.108-116
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    • 2003
  • In this paper, based on the concept of solid particles' sediment problem the working formula determining the bowl length of a Decanter-type centrifuge were derived. Assuming that particles are uniformly distributed along the vertical line of the liquid inlet position, it was possible to derive a constant value k used for determining the bowl length. It was shown from the sample calculations that the bowl length should be increased as the particle size to be removed from the liquid is decreased. The length also should be increased for the same particle size as the bowl diameter is decreased. To help the engineers choose a reasonable bowl diameter, the statistical relationship between the bowl diameter and the capacity of the international products is obtained and presented.

Study of dynamic mechanical behavior of aluminum 7075-T6 with respect to diameters and L/D ratios using Split Hopkinson Pressure Bar (SHPB)

  • Kim, Eunhye;Changani, Hossein
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.857-869
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    • 2015
  • The aluminum 7075-T6 is known as an alloy widely used in aircraft structural applications, which does not exhibit strain rate sensitivity during dynamic compressive tests. Despite mechanical importance of the material, there is not enough attention to determine appropriate sample dimensions such as a sample diameter relative to the device bar diameter and sample length to diameter (L/D) ratio for dynamic tests and how these two parameters can change mechanical behaviors of the sample under dynamic loading condition. In this study, various samples which have different diameters of 31.8, 25.4, 15.9, and 9.5 mm and sample L/D ratios of 2.0, 1.5, 1.0, 0.5, and 0.25 were tested using Split Hopkinson Pressure Bar (SHPB), as this testing device is proper to characterize mechanical behaviors of solid materials at high strain rates. The mechanical behavior of this alloy was examined under ${\sim}200-5,500s^{-1}$ dynamic strain rate. Aluminum samples of 2.0, 1.5 and 1.0 of L/D ratios were well fitted into the stress-strain curve, Madison and Green's diagram, regardless of the sample diameters. Also, the 0.5 and 0.25 L/D ratio samples having the diameter of 31.8 and 25.4 mm followed the stress-strain curve. As results, larger samples (31.8 and 25.4 mm) in diameters followed the stress-strain curve regardless of the L/D ratios, whereas the 0.5 and 0.25 L/D ratios of small diameter sample (15.9 and 9.5 mm) did not follow the stress-strain diagram but significantly deviate from the diagram. Our results indicate that the L/D ratio is important determinant in stress-strain responses under the SHPB test when the sample diameter is small relative to the test bar diameter (31.8 mm), but when sample diameter is close to the bar diameter, L/D ratio does not significantly affect the stress-strain responses. This suggests that the areal mismatch (non-contact area of the testing bar) between the sample and the bar can misrepresent mechanical behaviors of the aluminum 7075-T6 at the dynamic loading condition.

Characteristics of the Acoustic Emission Waveforms from the Fatigue Crack Propagation of 2024 Aluminum Alloy with Rivet Hole (리벳구멍을 갖는 2024 알루미늄 합금의 피로 균열 진전 동안에 발생한 음향방출 파형 특성)

  • 남기우;안석환
    • Journal of Ocean Engineering and Technology
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    • v.15 no.1
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    • pp.52-56
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    • 2001
  • This study were looks at the effect of the initial cut length or stress concentration level, on the wave forms produced by crack propagation. The signals were collected, then classified visually for each type of sample. They were put into three classes according to their shapes in the time and frequency domain. Each class should domain signals which could be correlated to a certain micro-failure mechanism that occurs during the fatigue process. Classes of these signals compared, with each sample. To see if there were any classes common to the three samples. The fatigue test attempted to determine if the initial cut length has any influence on the type of signals.

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The Size Effect in Measuring the Fracture Toughness of Rock using Chevron Bend Specimen (암석의 파괴인성 측정에서 나타나는 CB 시험편의 치수효과에 관하여)

  • 김재동;백승규
    • Tunnel and Underground Space
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    • v.2 no.2
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    • pp.251-264
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    • 1992
  • In this study, the size effect in measuring the fracture toughness of rock was investigated using the ISRM Suggested Method for Fracture toughness using Chevron Bend Specimens. Total 58 specimens were prepared with 4 different diameters, 29, 42, 54, 68mm and center cut-chevron notch. In addition to this, to evaluated the effect of anisotropy of Jecheon granite, which is the sample for this study, core drilling direction was adjusted perpendicular(short transverse) and parallel(arrester) to the rift plane in the sample and the measured fracture toughness for each direction were compared. Important results obtained from this study are as follows. Level ll test condition is more adequate than l, because of low data scattering and precision and corrected fracture toughness of Jechoen granite measured and 2.2MPa{{{{ SQRT { m} }}}} for arrester direction with minimum initial crack length 0.7cm. From the relationship between core diameter and initial crack length presented in the ISRM testing method, the specimen diameter should be bigger than 47mm. The fracture toughnesses measured for arrester and short transverse directon show 10% difference. This is to the anisotropy of Jecheon granite possessing rift plane.

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