• Title/Summary/Keyword: stratified random sampling

Search Result 266, Processing Time 0.024 seconds

A Study on economically optimal Determination of the Parameters of the Stratified Random Sampling (확률추출에 의한 층별 샘플링의 경제성에 관한 연구)

  • 황의철;이영식
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.13 no.21
    • /
    • pp.81-90
    • /
    • 1990
  • In stratified random sampling a simple random sample must be taken in each stratum to reduce the maximum gain in precision given the minimum cost. The purpose of this paper is to deal with the propertics of the estimates and variances and obtain the economic design of stratified random sampling through the optimum allocation of the sample sizes. In addition, the between stratum variation and the within stratum variation is stratifying the population are described.

  • PDF

Variance estimation for distribution rate in stratified cluster sampling with missing values

  • Heo, Sunyeong
    • Journal of the Korean Data and Information Science Society
    • /
    • v.28 no.2
    • /
    • pp.443-449
    • /
    • 2017
  • Estimation of population proportion like the distribution rate of LED TV and the prevalence of a disease are often estimated based on survey sample data. Population proportion is generally considered as a special form of population mean. In complex sampling like stratified multistage sampling with unequal probability sampling, the denominator of mean may be random variable and it is estimated like ratio estimator. In this research, we examined the estimation of distribution rate based on stratified multistage sampling, and determined some numerical outcomes using stratified random sample data with about 25% of missing observations. In the data used for this research, the survey weight was determined by deterministic way. So, the weights are not random variable, and the population distribution rate and its variance estimator can be estimated like population mean estimation. When the weights are not random variable, if one estimates the variance of proportion estimator using ratio method, then the variances may be inflated. Therefore, in estimating variance for population proportion, we need to examine the structure of data and survey design before making any decision for estimation methods.

Easy and Quick Survey Method to Estimate Quantitative Characteristics in the Thin Forests

  • Mirzaei, Mehrdad;Bonyad, Amir Eslam;Bijarpas, Mahboobeh Mohebi;Golmohamadi, Fatemeh
    • Journal of Forest and Environmental Science
    • /
    • v.31 no.2
    • /
    • pp.73-77
    • /
    • 2015
  • Acquiring accurate quantitative and qualitative information is necessary for the technical and scientific management of forest stands. In this study, stratification and systematic random sampling methods were used to estimation of quantitative characteristics in study area. The estimator ($((E%)^2xT)$) was used to compare the systematic random and stratified sampling methods. 100 percent inventory was carried out in an area of 400 hectares; characteristics as: tree density, crown cover (canopy), and basal area were measured. Tree density of stands was compared through systemic random and stratified sampling methods. Findings of the study reveal that stratified sampling method gives a better representation of estimates than systematic random sampling.

A Stratified Multi-proportions Randomized Response Model (층화 다지 확률화응답모형)

  • Lee, Gi-Sung;Park, Kyung-Soon
    • The Korean Journal of Applied Statistics
    • /
    • v.28 no.6
    • /
    • pp.1113-1120
    • /
    • 2015
  • We propose a multi-proportions randomized response model by stratified simple random sampling for surveys of sensitive issues of a polychotomous population composed of several stratum. We also systemize a theoretical validity to apply multi-proportions randomized response model (Abul-Ela et al.' model, Eriksson's model) to stratified simple random sampling and derive the estimate and its dispersion matrix of the proportion of sensitive characteristic of population using the suggested model. Two types of sample allocations (proportional allocation and optimum allocation) are considered under the fixed cost. In efficiency, the Eriksson's model by stratified sampling are compared to the Abul-Ela et al.' model.

Efficient Use of Auxiliary Information through the Stratified Sampling and Systematic Sampling Design (층화추출과 계통추출을 이용한 효율적인 보조정보 사용)

  • Kim, Gwan-Su;Park, Min-Gue
    • Survey Research
    • /
    • v.10 no.1
    • /
    • pp.155-168
    • /
    • 2009
  • As an efficient sampling design, stratified random sampling is often used when auxiliary information is available at the designing stage. Although one - per - stratum design is an efficient design that can be used when many auxiliary variables are available, it does not provide any unbiased variance estimator. With a two - per - stratum sample in which two elements are selected from each stratum, it is possible to obtain an unbiased variance estimator. However the loss of efficiency could be significant if any important stratification variable is missed. In this study, we investigated a sampling design that uses the all given auxiliary information and also permits an unbiased variance estimator suggested by Park and Fuller(2008). Through a simulation study, we compared several stratified random sampling and systematic sampling design. We also applied the proposed stratified sampling designs to 2007 youth panel data.

  • PDF

A Study on the Methods for Determining Observation Times of work Sampling (워크 샘플링 관측시각 결정방법에 관한 연구)

  • 고용해;김경호
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.8 no.11
    • /
    • pp.85-95
    • /
    • 1985
  • This thesis is a study on the work sampling method which is one of the important parts in the fields of work measurement today. The primary objective of this study is to examine various methods of selecting observation times in work sampling studies, including simple random systematic, and stratified sampling and a new method called restricted random sampling. The attribute of these sampling methods are explained, particulary statistical efficiency, and the important advantages of stratification are analysed. A case study of work sampling was made in a manufacturing plant to show its practical application and the effectiveness of the stratified random sampling technique.

  • PDF

A Generalized Ratio-cum-Product Estimator of Finite Population Mean in Stratified Random Sampling

  • Tailor, Rajesh;Sharma, Balkishan;Kim, Jong-Min
    • Communications for Statistical Applications and Methods
    • /
    • v.18 no.1
    • /
    • pp.111-118
    • /
    • 2011
  • This paper suggests a ratio-cum product estimator of a finite population mean using information on the coefficient of variation and the fcoefficient of kurtosis of auxiliary variate in stratified random sampling. Bias and MSE expressions of the suggested estimator are derived up to the first degree of approximation. The suggested estimator has been compared with the combined ratio estimator and several other estimators considered by Kadilar and Cingi (2003). In addition, an empirical study is also provided in support of theoretical findings.

A Stratified Unknown Repeated Trials in Randomized Response Sampling

  • Singh, Housila P.;Tarray, Tanveer Ahmad
    • Communications for Statistical Applications and Methods
    • /
    • v.19 no.6
    • /
    • pp.751-759
    • /
    • 2012
  • This paper proposes an alternative stratified randomized response model based on the model of Singh and Joarder (1997). It is shown numerically that the proposed stratified randomized response model is more efficient than Hong et al. (1994) (under proportional allocation) and Kim and Warde (2004) (under optimum allocation).

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
    • /
    • v.10 no.1
    • /
    • pp.79-89
    • /
    • 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.

  • PDF

A Note on the Decision of Sample Size by Relative Standard Error in Successive Occasions (계속조사에서 상대표준오차를 이용한 표본크기 결정에 관한 고찰)

  • Han, GeunShik;Lee, Gi-Sung
    • The Korean Journal of Applied Statistics
    • /
    • v.28 no.3
    • /
    • pp.477-483
    • /
    • 2015
  • This study deals with the decision problem of sample size by the relative standard error of estimates derived from survey results in successive occasions. The population of the construction in business survey results is used to calculate quartile of the relative standard error of the 1,000 sample obtained from simple or stratified random sampling. The sample size at time t with a relative standard error of the point (t-1) in the successive occasions were calculated according to the sampling method. As a result, in terms of the sample size according to the size of the relative standard error of the (t-1), simple random sampling differs significantly from stratified sampling. In addition, we could see differences in sample size (depending on how the population is stratified) and that careful attention is required in the problem of sample size by the relative standard error of estimates derived from survey results in successive occasions.