scholarly journals The Use of the Robust GREG Estimator to Estimate Small Trade Firms

2018 ◽  
Vol 2 (334) ◽  
Author(s):  
Grażyna Dehnel
Keyword(s):  
Cross Section ◽  
Small Area ◽  
Estimation Methods ◽  
Auxiliary Variables ◽  
Dynamic Changes ◽  
Area Estimation ◽  
Unique Character ◽  
Economic Statistics ◽  
The Face ◽  
Level Of Aggregation

In the face of dynamic changes in the economy, there is a growing demand for multivariate statistics for cross‑classified domains. In economic statistics, this demand poses a particular challenge owing to the unique character of the population of enterprises, which is what motivates the search for estimation methods that can exploit administrative sources to a greater extent. The adoption of new solutions in this area is expected to increase the scope of statistical outputs and improve the efficiency of estimates. The purpose of the presented study is to test the application of the robust GREG estimator based on the LS method and least median of squares regression to estimate characteristics of small trade firms operating in 2012. The estimation process is supported with delayed variables from administrative registers used as auxiliary variables. The paper refers to small area estimation methods. The variables of interest are estimated at the low level of aggregation represented by cross‑section province and NUTS 2.

Estimation of the average wage in Polish small companies using the robust approach

2020 ◽  
Vol 66 (3) ◽  
pp. 200-213
Author(s):  
Grażyna Dehnel ◽  
Łukasz Wawrowski
Keyword(s):  
Small Firms ◽  
Estimation Methods ◽  
Average Wage ◽  
Small Companies ◽  
Auxiliary Variables ◽  
Robust Approach ◽  
Business Statistics ◽  
Economic Statistics ◽  
Robust Version ◽  
Level Of Aggregation

There is a growing demand for multivariate economic statistics for crossclassified domains. In business statistics, this demand poses a particular challenge given the specific character of the population of enterprises, which necessitates searching for methods of analysis that would represent the robust approach to estimation, where auxiliary variables could be utilised. The adoption of new solutions in this area is expected to increase the scope of statistical output and improve the precision of estimates. The study presented in the paper furthers this goal, as it is focused on testing the application of a robust version of the Fay-Herriot model, which makes it possible to meet the assumption of normality of random effects under the presence of outliers. These alternative models are supplied to estimate the parameters of small firms operating in 2012. Variables from administrative registers were used as auxiliary variables, which made the estimation process more comprehensive. The paper refers to small area estimation methods. The variables of interest are estimated at a low level of aggregation represented by the crosssection province and NACE sections.

A Study of Disability Across Districts of the Province of Wielkopolska Using Small Area Estimation Methods

2019 ◽  
Vol 65 (4) ◽  
pp. 449-472
Author(s):  
Tomasz Klimanek ◽  
Marcin Szymkowiak ◽  
Marcin Szymkowiak ◽  
Tomasz Józefowski
Keyword(s):  
Small Area ◽  
Small Area Estimation ◽  
Estimation Methods ◽  
Sources Of Information ◽  
Estimation Errors ◽  
Area Estimation ◽  
Central Statistical ◽  
Central Statistical Office ◽  
Level Of Aggregation ◽  
High Level

Surveys and censuses conducted by the Central Statistical Office in Poland are the main sources of information about disability for official statistics. Because sample sizes for relevant cross-classification domains are too small to employ classical estimation methods, results are usually published at a relatively high level of aggregation (at country or province level) or for very broadly defined domains. To meet the growing demand for detailed information about disability, the authors present an attempt of applying the methodology of small area estimation to estimate the percentage of disabled people, in the legal and biological sense, across districts (NUTS 4/LAU 1 units) of the province of Wielkopolska crossclassified by the level of education. This methodological exercise is based on data from the 2011 census and employs selected techniques of indirect estimation. Estimates obtained in the study provide an indication of the spatial variation of disability in the target domains with greater precision. It is worth noting that this level of aggregation has not been considered for purposes of official statistical outputs because of unacceptably high estimation errors of the direct estimator.

scholarly journals SMALL AREA ESTIMATION METHOD WITH EMPIRICAL BAYES BASED ON BETA BINOMIAL MODEL IN GENERATED DATA

2020 ◽  
Vol 14 (1) ◽  
pp. 1-9
Author(s):  
Ferra Yanuar ◽  
Rahmatika Fajriyah ◽  
Dodi Devianto
Keyword(s):  
Binary Data ◽  
Small Area ◽  
Empirical Bayes ◽  
Small Area Estimation ◽  
Estimation Method ◽  
Estimation Methods ◽  
Auxiliary Variables ◽  
Indirect Estimation ◽  
Area Estimation ◽  
Direct Estimation

Small Area Estimation is one of the methods that can be used to estimate parameters in an area that has a small population. This study aims to estimate the value of the binary data parameter using the direct estimation method and an indirect estimation method by using the Empirical Bayes approach. To illustrate the method, we consider three conditions: direct estimator, empirical Bayes (EB) with auxiliary variables, and empirical Bayes without auxiliary variables. The smaller value of Mean Square Error is used to determine the better method. The results showed that the indirect estimation methods (EB method) gave the parameter value that was not much different from the direct estimation value. Then, the MSE values of indirect estimation with an auxiliary variable are smaller than the direct estimation method.

scholarly journals District level child nutrition status in Bangladesh: An application of small area estimation method

2019 ◽  
Vol 53 (1) ◽  
pp. 45-61
Author(s):  
Mossamet Kamrun Nesa
Keyword(s):  
Small Area ◽  
Child Nutrition ◽  
Small Area Estimation ◽  
Estimation Method ◽  
Nutrition Status ◽  
Estimation Methods ◽  
Small Scale ◽  
Demographic Health Survey ◽  
Area Estimation ◽  
National Surveys

National level indicators of child undernutrition often hide the real scenario across a country. In order to construct a child nutrition map, accurate estimates of undernutrition are required at very small spatial scales, typically the administrative units of a country or a region within a country. Although comprehensive data on child nutrition are collected in national surveys, the small scale estimates cannot be calculated using the standard estimation methods employed in national surveys, since such methods are designed to produce national or regional level estimates, and assume large samples. Small area estimation method has been widely used to find such micro-level estimates. Due to lack of unit level data, area level small area estimation methods (e.g., Fay-Herriot method) are widely used to calculate small-scale estimates. In Bangladesh, a few works have been done to estimate district level child nutrition status. The Bangladesh Demographic Health Survey covers all districts but district wise sample sizes are very small to get consistent estimates. In this paper, Fay-Herriot Model has been developed to calculate district wise estimates with efficient mean squared error. The Bangladesh Demographic Health Survey 2011 and Population Census 2011 are utilized for this study.

scholarly journals Simple House Needs in Jember with Robust Small Area Estimation

2017 ◽  
Vol 18 (1) ◽  
pp. 1
Author(s):  
Frida Murtinasari ◽  
Alfian Futuhul Hadi ◽  
Dian Anggraeni
Keyword(s):  
Small Area ◽  
Robust Regression ◽  
Small Sample Size ◽  
Small Area Estimation ◽  
Small Sample ◽  
Estimation Methods ◽  
Linear Unbiased Prediction ◽  
Area Estimation ◽  
Best Linear Unbiased ◽  
M Estimation

SAE (Small Area Estimation) is often used by researchers, especially statisticians to estimate parameters of a subpopulation which has a small sample size. Empirical Best Linear Unbiased Prediction (EBLUP) is one of the indirect estimation methods in Small Area Estimation. The presence of outliers in the data can not guarantee that these methods yield precise predictions . Robust regression is one approach that is used in the model Small Area Estimation. Robust approach in estimating such a small area known as the Robust Small Area Estimation. Robust Small Area Estimation divided into several approaches. It calls Maximum Likelihood and M- Estimation. From the result, Robust Small Area Estimation with M-Estimation has the smallest RMSE than others. The value is 1473.7 (with outliers) and 1279.6 (without outlier). In addition the research also indicated that REBLUP with M-Estimation more robust to outliers. It causes the RMSE value with EBLUP has five times to be large with only one outlier are included in the data analysis. As for the REBLUP method is relatively more stable RMSE results.

scholarly journals Adult diet in England: where is more support needed to achieve dietary recommendations?

2020 ◽  
Author(s):  
Dianna Smith ◽  
Christina Vogel ◽  
Monique Campbell ◽  
Nisreen Alwan ◽  
Graham Moon
Keyword(s):  
Urban Areas ◽  
Small Area ◽  
Vegetable Consumption ◽  
Small Area Estimation ◽  
Estimation Methods ◽  
Dietary Recommendations ◽  
Nutrition Survey ◽  
Targeted Interventions ◽  
Area Estimation ◽  
Adult Diet

Abstract Background: Small-area estimation models are regularly commissioned by public health bodies to identify areas of greater inequality and target areas for intervention in a range of behaviours and outcomes. Such local modelling has not been completed for diet consumption in England despite diet being an important predictor of health status. The study sets out whether aspects of adult diet can be modelled from previously collected data to define and evaluate area-level interventions to address obesity and ill-health.Methods: Adults aged 16 years and over living in England. Consumption of fruit, vegetables, and sugar-sweetened beverages (SSB) are modelled using small-area estimation methods in English neighbourhoods (Middle Super Output Areas [MSOA]) to identify areas where reported portions are significantly different from recommended levels of consumption. The selected aspects of diet are modelled from respondents in the National Diet and Nutrition Survey using pooled data from 2008-2016.Results: Estimates indicate that the average prevalence of adults consuming less than one portion of fruit, vegetables or 100% juice each day by MSOA is 6.9% (range of 4.3 to 14.7%, SE 0.06) and the average prevalence of drinking more than 330ml/day of SSB is 11.5% (range of 5.7 to 30.5%, SE 0.03). Credible intervals around the estimates are wider for SSB consumption. The results identify areas including regions in London and urban areas in the North of England which may be prioritised for targeted interventions to support reduced consumption of SSB and/or an increase in portions of fruit and vegetables.Conclusion: These estimates provide valuable information at a finer spatial scale than is presently feasible, allowing for within-country and locality prioritisation of resources to improve diet. Local, targeted interventions to improve fruit and vegetable consumption such as subsidies or voucher schemes should be considered where consumption of these foods is predicted to be low.

scholarly journals A COMPARISON OF SMALL AREA ESTIMATION METHODS FOR POVERTY MAPPING

2016 ◽  
Vol 17 (1) ◽  
pp. 41-66 ◽  
Author(s):  
María Guadarrama ◽  
Isabel Molina ◽  
J. N. K. Rao
Keyword(s):  
Small Area ◽  
Small Area Estimation ◽  
Estimation Methods ◽  
Area Estimation ◽  
Poverty Mapping

Estimation the number of economically inactive people in poviats of the Kujawsko-Pomorskie Voivodship using methods of small area statistics

2016 ◽  
Vol 61 (5) ◽  
pp. 37-47
Author(s):  
Marek Ręklewski ◽  
Dominik Śliwicki
Keyword(s):  
Small Area ◽  
Estimation Methods ◽  
Low Level ◽  
Small Area Statistics ◽  
Level Of Aggregation

The aim of this paper is to estimate the number of economically inactive people at a level of poviats in Kujawsko-Pomorskie Voivodship using selected methods of small area statistics and to assess the precision of the estimates obtained. The analysis is an example of the use of selected small area estimators to estimate the number of economically inactive people in poviats of Kujawsko-Pomorskie Voivodship. The obtained results allow to inference about the size of the economically inactive population at a relatively low level of aggregation. Previously used in public statistics estimation methods did not give the possibility to obtain data at this level due to the large errors of estimates.

scholarly journals Adult diet in England: Where is more support needed to achieve dietary recommendations?

PLoS ONE ◽  
2021 ◽  
Vol 16 (6) ◽  
pp. e0252877
Author(s):  
Dianna M. Smith ◽  
Christina Vogel ◽  
Monique Campbell ◽  
Nisreen Alwan ◽  
Graham Moon
Keyword(s):  
Urban Areas ◽  
Small Area ◽  
Vegetable Consumption ◽  
Small Area Estimation ◽  
Estimation Methods ◽  
Dietary Recommendations ◽  
Nutrition Survey ◽  
Targeted Interventions ◽  
Area Estimation ◽  
Adult Diet

Background Small-area estimation models are regularly commissioned by public health bodies to identify areas of greater inequality and target areas for intervention in a range of behaviours and outcomes. Such local modelling has not been completed for diet consumption in England despite diet being an important predictor of health status. The study sets out whether aspects of adult diet can be modelled from previously collected data to define and evaluate area-level interventions to address obesity and ill-health. Methods Adults aged 16 years and over living in England. Consumption of fruit, vegetables, and sugar-sweetened beverages (SSB) are modelled using small-area estimation methods in English neighbourhoods (Middle Super Output Areas [MSOA]) to identify areas where reported portions are significantly different from recommended levels of consumption. The selected aspects of diet are modelled from respondents in the National Diet and Nutrition Survey using pooled data from 2008–2016. Results Estimates indicate that the average prevalence of adults consuming less than one portion of fruit, vegetables or 100% juice each day by MSOA is 6.9% (range of 4.3 to 14.7%, SE 0.06) and the average prevalence of drinking more than 330ml/day of SSB is 11.5% (range of 5.7 to 30.5%, SE 0.03). Credible intervals around the estimates are wider for SSB consumption. The results identify areas including regions in London, urban areas in the North of England and the South coast which may be prioritised for targeted interventions to support reduced consumption of SSB and/or an increase in portions of fruit and vegetables. Conclusion These estimates provide valuable information at a finer spatial scale than is presently feasible, allowing for within-country and locality prioritisation of resources to improve diet. Local, targeted interventions to improve fruit and vegetable consumption such as subsidies or voucher schemes should be considered where consumption of these foods is predicted to be low.

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