• Title/Summary/Keyword: Stratified Sampling

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Non-negative Unbiased MSE Estimation under Stratified Multi-stage Sampling

  • Kim, Kyuseong
    • Journal of the Korean Statistical Society
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    • v.30 no.4
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    • pp.637-644
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    • 2001
  • We investigated two kinds of mean square error (MSE) estimator of homogeneous linear estimator (HLE) for the population total under stratified multi-stage sampling. One is studied when the second stage variance component is estimable and the other is found in cafe it is not estimable. The proposed estimators are necessary forms of non-negative unbiased MSE estimators of HLE.

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EFFICIENT ESTIMATION OF POPULATION MEAN IN STRATIFIED SAMPLING USING REGRESSION TYPE ESTIMATOR

  • Grover Lovleen Kumar
    • Journal of the Korean Statistical Society
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    • v.35 no.4
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    • pp.441-452
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    • 2006
  • Here an efficient regression type estimator for a stratified population mean is proposed under the two-phase sampling scheme. While constructing the proposed estimator, it is assumed that the first auxiliary variable x is directly and highly correlated with the study variable y, and the second auxiliary variable z is directly and highly correlated with the first auxiliary variable x. However the variable z is not directly correlated with the variable y, but they are just correlated with each other only due to their direct and high correlation with the variable x. The proposed regression type estimator is found to be always more efficient than the existing estimators defined under the same situation.

A composite estimator for stratified two stage cluster sampling

  • Lee, Sang Eun;Lee, Pu Reum;Shin, Key-Il
    • Communications for Statistical Applications and Methods
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    • v.23 no.1
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    • pp.47-55
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    • 2016
  • Stratified cluster sampling has been widely used for effective parameter estimations due to reductions in time and cost. The probability proportional to size (PPS) sampling method is used when the number of cluster element are significantly different. However, simple random sampling (SRS) is commonly used for simplicity if the number of cluster elements are almost the same. Also it is known that the ratio estimator produces a good performance when the total number of population elements is known. However, the two stage cluster estimator should be used if the total number of elements in population is neither known nor accurate. In this study we suggest a composite estimator by combining the ratio estimator and the two stage cluster estimator to obtain a better estimate under a certain population circumstance. Simulation studies are conducted to compare the superiority of the suggested estimator with two other estimators.

Sample size determination using design effect formula for repeated surveys (반복조사에서 설계요소를 반영한 표본수 결정)

  • Park, Inho;Hwang, Hyeon Gil
    • The Korean Journal of Applied Statistics
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    • v.32 no.4
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    • pp.643-652
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    • 2019
  • We propose a method for sample size determination using design effect formulas when a sample is resigned for a repeated survey. The proposed method enables the determination of the sample size by incorporating the impact of various design components to the sampling error through design effect formulas that are applicable under multistage sampling design and stratified multistage sampling designs.

A Study on the Stratified Cluster Replicated Systematic Unrelated Question Model (층화 집락 반복계통 무관질문모형에 관한 연구)

  • Lee, Gi-Sung
    • The Korean Journal of Applied Statistics
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    • v.26 no.2
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    • pp.209-222
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    • 2013
  • We apply stratified cluster sampling to a replicated systematic unrelated question model for a large scale survey in which the population is comprised of several strata developed by several clusters and with sensitive parameters. We first present a replicated systematic unrelated question model using an unrelated question model to procure sensitive information from the population of clusters and then develop a suggested model to an unrelated question by a stratified cluster replicated systematic sampling that can be used in large population of strata. We cover the proportional and optimum allocation for the suggested model. Finally, we compare and analyze the efficiency of the suggested model with the replicated systematic unrelated question model.

On Statistical Inference of Stratified Population Mean with Bootstrap (층화모집단 평균에 대한 붓스트랩 추론)

  • Heo, Tae-Young;Lee, Doo-Ri;Cho, Joong-Jae
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.405-414
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    • 2012
  • In a stratified sample, the sampling frame is divided into non-overlapping groups or strata (e.g. geographical areas, age-groups, and genders). A sample is taken from each stratum, if this sample is a simple random sample it is referred to as stratified random sampling. In this paper, we study the bootstrap inference (including confidence interval) and test for a stratified population mean. We also introduce the bootstrap consistency based on limiting distribution related to the plug-in estimator of the population mean. We suggest three bootstrap confidence intervals such as standard bootstrap method, percentile bootstrap method and studentized bootstrap method. We also suggest a bootstrap test method computing the $ASL_{boot}$(Achieved Significance Level). The results of estimation are verified using simulation.

Mean Estimation in Two-phase Sampling (이중추출에서 모평균 추정)

  • 김규성;김진석;이선순
    • The Korean Journal of Applied Statistics
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    • v.14 no.1
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    • pp.13-24
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    • 2001
  • In this paper, we investigated mean estimation methods in two-phase sampling. Under the fixed expected cost we reviewed the optimal sample sizes, minimum variances and approximate unbiased variance estimators for usual ratio estimator, stratified sample mean with proportional allocation and Rao's allocation of the second phase sample. Also we proposed combined ratio estimator, which uses both ratio estimation and stratification and derived optimal sample size, minimum variance and unbiased variance estimator. Through a limited simulation study, we compared estimators by design effects and came to know that ratio estimator is more efficient than stratified sample mean in some cases and inefficient in the other cases, but combined ratio estimator is more efficient than others in most cases.

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Factors Affecting Acceptance and Use of E-Tax Services among Medium Taxpayers in Phnom Penh, Cambodia

  • ANN, Samnang;DAENGDEJ, Jirapun;VONGURAI, Rawin
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.7
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    • pp.79-90
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    • 2021
  • The purpose of this research is to identify factors affecting the acceptance and use of e-tax services among medium taxpayers in Phnom Penh, Cambodia. The researcher conducted the study based on a quantitative approach by using multi-stage sampling method, which selects a sample size by two or more stages. The first stage sampling was the stratified random sampling and the subsequent stage was purposive sampling. In this study, the stratified random sampling was first used, followed by purposive sampling. The data were collected from 450 medium taxpayers who experienced using e-tax services located in three tax branches in Phnom Penh. This study adapted the confirmatory factor analysis (CFA) and structural equation model (SEM) to analyze the model accuracy, reliability and influence of various variables. The primary result showed that behavioral intention has a significant effect on user behavior of e-tax services among medium taxpayers in Phnom Penh, Cambodia. Moreover, the results revealed that performance expectancy, effort expectancy, social influence, and anxiety have significant impact on behavioral intention. In addition, social influence has the strongest impact on behavioral intention, followed by anxiety, performance expectancy and effort expectancy. Conversely, facilitating conditions, trust in government, and trust in internet do not influence behavioral intention.