• Communications for Statistical Applications and Methods
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• v.18 no.6
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• pp.707-716
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• 2011

Quantiles and quantile ranks(or plotting positions) are widely used in academia and industry. Sample quantile methods and sample quantile methods implemented in some major statistical software are at least seven, respectively. Small looking differences between the methods can make big differences in outcomes that result from decisions based on them. We discussed the characteristics and differences of the basic plotting position using the empirical cumulative probability and the six plotting positions derived from the suggestion of Blom (1958). After discussing the characteristics and differences of seven quantile methods used in the some major statistical software, we suggested a general expression covering all seven quantile methods. Using the insight obtained from the general expression, we proposed four propositions that make it possible to find the plotting position method that correspond to each of the seven quantile methods. These correspondences may help us to understand and apply quantile methodology.

• School Mathematics
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• v.16 no.4
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• pp.727-743
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• 2014

The concepts of sample and sampling are central to the statistical thinking and foundations of the statistical literacy, so we need to be emphasized their importance in the statistics education. However, many researches which dealt with samples only analyze textbooks or students' responses. In this study, the concept of sample is addressed by a historical consideration which is one aspect of the didactical analysis. Moreover, developing concept of sample is analyzed from the preceding studies about the statistical literacy, considering the sample representativeness and the sampling variability. The results say that the historical process of developing the concept of sample can be divided into three step: understanding the sample representativeness; appearing the sample variance; recognizing the sampling variability. Above all, it is important to aware and control the sampling variability, but many related researches might not consider sample variability. Therefore, it implies that the awareness and control of sampling variability are needed to reflect to the teaching-learing of sample for developing the students' statistical literacy.

• The Korean Journal of Applied Statistics
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• v.14 no.1
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• pp.81-90
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• 2001

One of the Repeated survey which estimates variability of population, we can be consider rotation sample survey. There are two kinds of rotation sample survey - onelevel rotation sample survey and multi-level rotation sample survey. In rotation sample survey, Composite estimator is used to measure level or level change of the population. This study suggests Generalized Composite estimator as considering intraclass correlation in multi-level rotation sample survey, and optimal weight minimizing variance of estimator. Numerical example shows efficiency of Generalized Composite estimator as considering intraclass correlation according to the sample unit and change degree of intraclass correlation in the rotation group.

• Survey Research
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• v.10 no.3
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• pp.157-172
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• 2009

For a survey research in which the characteristics of the population of interest are investigated from a sample, representativeness of the sampling frame is one of the most important part to be considered. If the sampling frame fails to represent the population properly, statistical procedures based on the even efficient sampling design result in significant nonsampling biases and thus the statistical validities of the results could be damaged. But the construction of the reliable sampling frame that covers the population properly costs money and time and thus the sampling frame based on a census or a large scale survey is often used in practice. For example, the sampling frame based on the population households census is used for many household surveys in Korea. But due to the time difference between the census and a survey of interest, the sampling frame constructed from the census is expected to fail to cover the population of interest. Especially, one could expect a large amount of population and household movement in a large city like Seoul. Thus in our research, we considered the construction of new sampling frame and the procedure of sample selection for 2008 Seoul survey. We analyzed the sampling frame based on 2005 population households census and found that it does not represent the population properly. Thus, we proposed a new sampling frame based on resident registration DB for 2008 Seoul survey. We also proposed the sampling weights and estimator of the population mean based on the sample selected from the newly constructed sampling frame.

• The Korean Journal of Applied Statistics
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• v.12 no.2
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• pp.375-385
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• 1999

본 연구에서는 노동력수요동향조사를 위한 새로운 표본설계를 제시하였다. 새로운 표본설계에서는 전국 통계를 산출하기 위한 전국표본과 지역 특성에 맞는 고용정책 및 직업 훈련 계획 수립 등을 위한 지역통계의 수요에 따라 16개 시·도별, 규모별, 산업대분류별로 오차를 관리할 수 있는 지역표본으로 이원화하여 설계하였으며, 규모별, 산업대분류별로 오차를 관리하는 현행 표본조사의 상대표준오차를 검토하여 규모별, 산업중분류별로 합리적인 오차 관리가 가능하도록 설계하였다.

• Proceedings of the IEEK Conference
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• 2001.09a
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• pp.583-586
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• 2001

본 논문에서는 다중 대역통과 표본화 이론에 기반하여 1.9GHz IS-95신호와 2.2GHz IMT-2000 신호를 하나의 ADC(analog to digital converter)를 사용하여 동시에 표본화하고 디지털 처리를 수행하는 방법을 제안하고 실험을 통하여 검증하였다. 일반적인 방법으로는 본 논문에서 고려하는 두 신호를 동시에 표본화하기 위해서는 표본화 주파수가 최소한 1GHz 이상의 고속의 ADC를 사용해야 한다. 그러나 현재 ADC의 기술은 광대역의 신호를 직접 더지털화하기에는 아직 미흡하다. 반면에 대역통과 표본화 이론은 기존의 상용 ADC와 기콘의 RF 시스템을 이용하여 다른 대역에 위치한 두 신호를 통합처리 할 수 있는 기반을 제공하고 있다. 본 논문에서는 이러한 대역통과 표본화 이론에 기반을 두고 상용 ADC를 사용하여 표본화 시스템을 구현하여 IS-95신호와 IMT-2000 신호를 표본화하고 이를 컴퓨터에서 디지털 필터를 이용하여 두 신호를 분리하는 실험을 통하여 다중 대역통과 표본화의 적용 가능성을 검증하였다.

• The Korean Journal of Applied Statistics
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• v.22 no.2
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• pp.341-353
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• 2009

We consider sample-size determination problem motivated by comparative clinical trials where patient outcomes are characterized by a bivariate outcome of efficacy and safety. Thall and Cheng (1999) presented a sample size methodology for the case of bivariate binary outcomes. We propose a bivariate Wilcoxon-Mann-Whitney(WMW) statistics for sample-size determination for binary outcomes, and this nonparametric method can be equally used to determine sample sizes of ordinal outcomes. The two methods of sample size determination rely on the same testing strategy for the target parameters but differs in the test statistics, an asymptotic bivariate normal statistic of the transformed proportions in Thall and Cheng (1999) and nonparametric bivariate WMW statistic in the other method. Sample sizes are calculated for the two experimental oncology trials, described in Thall and Cheng (1999), and for the first trial example the sample sizes of a bivariate WMW statistic are smaller than those of Thall and Cheng (1999), while for the second trial example the reverse is true.

• Communications for Statistical Applications and Methods
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• v.19 no.3
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• pp.315-331
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• 2012

In this research, we estimated the number of hits per song and its sampling error from 11 (areas including Gangnam) based on log data compiling the number of hits collected from offline karaoke players in March 2011. Then, we calculated the monetary equivalent of the sampling error under the current system that distribute royalties from the karaoke players to copyright holders(song writers and arrangers) according to the estimated hits. Because of the small sample size, the estimated number of hits had a very large sampling error. This research proposes a more reasonable sample design to estimate the usage of copyrighted music works for a fair distribution of royalties by reducing sampling error.

• Proceedings of the Korean Statistical Society Conference
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• 2000.11a
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• pp.45-50
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• 2000

Hedayat et al.(1988)와 Stufken(1993) 등은 환경 또는 생태의 특성을 고려하여 인접단위들을 추출확률을 최소화시킬 수 있는 표본설계방법을 제안하였다. 그리고 Hedayat et al.(1998)은 실제 조사에 있어 이들 방법보다 유용한 방법을 제시하였다. 본 논문에서는 이들 표본설계방법의 문제점들을 밝히고 이를 보완할 수 있는 방법과 추가적인 연구 방향 등을 제시한다.

• Proceedings of the Korean Statistical Society Conference
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• 2002.11a
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• pp.135-140
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• 2002

변량추출비 관리도는 현재의 관측값에 기초하여 다음 시점의 표본크기와 표본추출간격을 변화시키면서 공정의 변화를 탐지하는 관리도 절차이다. 만일 공정에서 추출한 현재의 관측값을 살펴볼 때 공정변화의 징후가 있는 경우에는 다음 시점의 표본추출비를 증가시켜, 즉 표본크기를 크게 하고 표본추출간격을 작게 하여 예상되는 공정변화를 더 빠르고 정확하게 탐지함으로보다 효율적인 공정관리를 수행하는 것이다. 본 연구는 변량추출비 ${\bar{X}}$ 관리도에서 사용하는 표본크기와 표본추출간격의 수를 달리하며 각각의 경우에 대한 통계적 효율을 계산하고 이를 비교하고자 한다.