• Title/Summary/Keyword: Neyman allocation

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A Study on Sample Allocation for Stratified Sampling (층화표본에서의 표본 배분에 대한 연구)

  • Lee, Ingue;Park, Mingue
    • The Korean Journal of Applied Statistics
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    • v.28 no.6
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    • pp.1047-1061
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    • 2015
  • Stratified random sampling is a powerful sampling strategy to reduce variance of the estimators by incorporating useful auxiliary information to stratify the population. Sample allocation is the one of the important decisions in selecting a stratified random sample. There are two common methods, the proportional allocation and Neyman allocation if we could assume data collection cost for different observation units equal. Theoretically, Neyman allocation considering the size and standard deviation of each stratum, is known to be more effective than proportional allocation which incorporates only stratum size information. However, if the information on the standard deviation is inaccurate, the performance of Neyman allocation is in doubt. It has been pointed out that Neyman allocation is not suitable for multi-purpose sample survey that requires the estimation of several characteristics. In addition to sampling error, non-response error is another factor to evaluate sampling strategy that affects the statistical precision of the estimator. We propose new sample allocation methods using the available information about stratum response rates at the designing stage to improve stratified random sampling. The proposed methods are efficient when response rates differ considerably among strata. In particular, the method using population sizes and response rates improves the Neyman allocation in multi-purpose sample survey.

A Sample Design for Intestinal Parasitic Infection Survey (기생충 감염실태조사를 위한 표본설계)

  • Ryu Jea-Bok;Lee Seung-Joo;Jun Sung-Rae
    • The Korean Journal of Applied Statistics
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    • v.18 no.1
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    • pp.27-41
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    • 2005
  • We made a new sample design for intestinal parasitic infection survey in 2004. We used the 10% sample survey data of 2000 population and housing census as a survey population. Since the infection rates of intestinal parasitics are very low, we applied the relative risk and odds ratio instead of ordinary method such as t-test to study the characteristics from the 1997 survey data. In order to allocate samples to stratum, we used the compromise of Neyman allocation which is the average of three Neyman allocations. And also, we derive estimators and variance estimators of the estimators.

A Study on the Multivariate Stratified Random Sampling with Multiplicity (중복수가 있는 다변량 층화임의추출에 관한 연구(층별로 독립인 경우의 배분문제))

  • Kim, Ho-Il
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.1
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    • pp.79-89
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    • 1999
  • A counting rule that allows an element to be linked to more than one enumeration unit is called a multiplicity counting rule. Sample designs that use multiplicity counting rules are called network samples. Defining a network to be a set of observation units with a given linkage pattern, a network may be linked with more than one selection unit, and a single selection unit may be linked with more than one network. This paper considers allocation for multivariate stratified random sampling with multiplicity.

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A study for the efficiency of the cut-off method in highly skewed populations (왜도(Skewness)가 심한 모집단에서의 절사법효과에 관한 연구)

  • 한근식;김용철
    • The Korean Journal of Applied Statistics
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    • v.9 no.2
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    • pp.161-169
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    • 1996
  • In the design of the sampling, it is important to make a decision about the size of the sample to be selected from the population. We often have a problem to get the optical size of the sample to be considered for cost and time expended for selecting sample unit from highly skewed population. In this case, we give a graphical criterion with Take-all Stratum rate to choose a method and also illustrate the efficiency between the Neyman allocation and the cut-off method with real data.

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Sample Size Determination Using the Stratification Algorithms with the Occurrence of Stratum Jumpers

  • Hong, Taekyong;Ahn, Jihun;Namkung, Pyong
    • Communications for Statistical Applications and Methods
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    • v.11 no.2
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    • pp.297-311
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    • 2004
  • In the sample survey for a highly skewed population, stratum jumpers often occur. Stratum jumpers are units having large discrepancies between a stratification variable and a study variable. We propose two models for stratum jumpers: a multiplicative model and a random replacement model. We also consider the modification of the L-H stratification algorithm such that we apply the previous models to L-H algorithm in determination of the sample sizes and the stratum boundaries. We evaluate the performances of the new stratification algorithms using real data. The result shows that L-H algorithm for the random replacement model outperforms other algorithms since the estimator has the least coefficient of variation.

A sample design for life and attitude survey of Gyeongbuk people (경북인의 생활과 의식조사 표본설계)

  • Kim, Dal-Ho;Cho, Kil-Ho;Hwang, Jin-Seub;Jung, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.6
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    • pp.1155-1167
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    • 2009
  • We made a new sample design for life and consciousness survey of Kyungpook people in 2007. We used the 10% sample survey data of 2005 population and housing census as a survey population. After stratification, we allocate proportionally samples within strata after examining various characteristics in previous survey, which includes economic activity state, an income level per year, and housing possession. And we calculated weight in a new sample design and derived estimators and a formula of standard error using the weights.

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A Study on Weight Adjustment In Sampling Survey

  • Jung Ran Hee;Lee Sang Eun;Shin Key-Il
    • Communications for Statistical Applications and Methods
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    • v.12 no.1
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    • pp.29-38
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    • 2005
  • In sample design, determining the weights of estimates becomes usually great influence on the result. In this article, raking methods are applied to different domain and depending on the range of the domain and sample size, the results of estimates are explained and compared. For the comparison, we use the MSE, MAE, MSPE and MAPE with Actual State of Minor Enterprisers Human Resources Survey data in 2001. The simulation result shows that more elaborate method is superior to the widely used method as expected but the difference is not quite significant.

Quantile estimation using near optimal unbalanced ranked set sampling

  • Nautiyal, Raman;Tiwari, Neeraj;Chandra, Girish
    • Communications for Statistical Applications and Methods
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    • v.28 no.6
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    • pp.643-653
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    • 2021
  • Few studies are found in literature on estimation of population quantiles using the method of ranked set sampling (RSS). The optimal RSS strategy is to select observations with at most two fixed rank order statistics from different ranked sets. In this paper, a near optimal unbalanced RSS model for estimating pth(0 < p < 1) population quantile is proposed. Main advantage of this model is to use each rank order statistics and is distributionfree. The asymptotic relative efficiency (ARE) for balanced RSS, unbalanced optimal and proposed near-optimal methods are computed for different values of p. We also compared these AREs with respect to simple random sampling. The results show that proposed unbalanced RSS performs uniformly better than balanced RSS for all set sizes and is very close to the optimal RSS for large set sizes. For the practical utility, the near optimal unbalanced RSS is recommended for estimating the quantiles.

Representative of Sample and Efficiency of Estimation (표본의 대표성과 추정의 효율성)

  • Kim, Kyu-Seong
    • Survey Research
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    • v.6 no.1
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    • pp.39-62
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    • 2005
  • In this paper we investigate some concepts frequently called in sample surveys such as 'representative of sample' as well as 'consistency', 'unbiasedness', and 'efficiency' in estimation. The first is strongly related with sampling procedure including coverage rate of survey population, response rate in establishment survey, and recruit rate of final samples. The others, however, are concerned with both sampling design and corresponding estimators simultaneously. Whereas both consistency and unbiasedness are based on the representative sample, efficiency does not depend on the representative sample. The representative of sample can be increased by raising the rate of coverage, response and recruit as well. Consistency may be investigated according to variables of interest and auxiliary variables. The well-known raing-ratio weighting method is a method to increase consistency of auxiliary variables by means of matching population size in each cell. Efficiency is not directly related with the representative of sample, and allocation methods such as proportional and Neyman allocation in stratified sampling and post-stratification are all methods to increase the efficiency of estimation under the condition of satisfying the representative of sample.

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Sample Design for Materials and Components Industry Trend Survey (부품.소재산업 동향 조사의 표본설계)

  • NamKung, Pyong
    • Communications for Statistical Applications and Methods
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    • v.15 no.6
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    • pp.883-897
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    • 2008
  • This paper provides correct informations inflecting the present situation using the sample design in population that the National Statistical Office puts in operation of the mining and manufacturing industry statistical survey in 2006. This paper proposes new sampling design which is able to grasp business fluctuations and provide basic data for the rearing policy and management of the material industry and components industry. These sample design are the modified cut-off method and multivariate Neyman allocation using principal components and sampling method is the probability proportional systematic sampling.