Systematic sampling of discrete and continuous populations: sample selection and the choice of estimator

2009 ◽  
Vol 39 (6) ◽  
pp. 1061-1068 ◽  
Author(s):  
Harry T. Valentine ◽  
David L.R. Affleck ◽  
Timothy G. Gregoire

Systematic sampling is easy, efficient, and widely used, though it is not generally recognized that a systematic sample may be drawn from the population of interest with or without restrictions on randomization. The restrictions or the lack of them determine which estimators are unbiased, when using the sampling design as the basis for inference. We describe the selection of a systematic sample, with and without restriction, from populations of discrete elements and from linear and areal continuums (continuous populations). We also provide unbiased estimators for both restricted and unrestricted selection. When the population size is known at the outset, systematic sampling with unrestricted selection is most likely the best choice. Restricted selection affords estimation of attribute totals for a population when the population size — for example, the area of an areal continuum — is unknown. Ratio estimation, however, is most likely a more precise option when the selection is restricted and the population size becomes known at the end of the sampling. There is no difference between restricted and unrestricted selection if the sampling interval or grid tessellates the frame in such a way that all samples contain an equal number of measurements. Moreover, all the estimators are unbiased and identical in this situation.

1987 ◽  
Vol 36 (3-4) ◽  
pp. 193-196 ◽  
Author(s):  
Arijit Chaudhuri ◽  
Arun Kumar Adhikary

Certain conditions connecting the population size, sample size and the sampling interval in circular systematic sampling with equal probabilities are known. We present here a simple “condition” connecting the sample size, size-measures and the sampling interval in pps circular systematic sampling. The condition is important in noting limitations on sample-sizes when a sampling interval is pre-assigned.


1988 ◽  
Vol 37 (1-2) ◽  
pp. 111-112 ◽  
Author(s):  
S. Sengupta

A necessary and sufficient condition connecting the samplesize, size-measures and tbe sampling interval is given for a pps circular systematic sample to contain all distinct units.


PIERS Online ◽  
2007 ◽  
Vol 3 (1) ◽  
pp. 106-110
Author(s):  
Shaogang Wang ◽  
Xinpu Guan ◽  
Dangwei Wang ◽  
Xingyi Ma ◽  
Yi Su

Author(s):  
Zhiao Zhao ◽  
Yong Zhang ◽  
Guanjun Liu ◽  
Jing Qiu

Sample allocation and selection technology is of great significance in the test plan design of prognostics validation. Considering the existing researches, the importance of prognostics samples of different moments is not considered in the degradation process of a single failure. Normally, prognostics samples are generated under the same time interval mechanism. However, a prognostics system may have low prognostics accuracy because of the small quantity of failure degradation and measurement randomness in the early stage of a failure degradation process. Historical degradation data onto equipment failure modes are collected, and the degradation process model based on the multi-stage Wiener process is established. Based on the multi-stage Wiener process model, we choose four parameters to describe different degradation stages in a degradation process. According to four parameters, the sample selection weight of each degradation stage is calculated and the weight of each degradation stage is used to select prognostics samples. Taking a bearing wear fault of a helicopter transmission device as an example, its degradation process is established and sample selection weights are calculated. According to the sample selection weight of each degradation process, we accomplish the prognostics sample selection of the bearing wear fault. The results show that the prognostics sample selection method proposed in this article has good applicability.


2017 ◽  
Vol 4 (4) ◽  
Author(s):  
Sarvdeep Kohli ◽  
Anjali Malik ◽  
Varsha Rani

An essential component of youths’ successful development is learning to appropriately respond to emotions, including the ability to recognize, identify and describe one’s feelings. Emotional competence refers to one’s ability to express or release one’s inner feelings or emotions. Self-esteem reflects a person’s overall subjective emotional evaluation of his or her own worth. It is a judgment of oneself as well as an attitude toward the self. General well being refers to the harmonious functioning of the physical as well as psychological aspects of the personality, giving satisfaction to the self and benefit to the society. The present study focuses on the self esteem and general well being in adolescents with low vs high emotional competence. For this purpose, first of all emotional competence scale was administered on 260 adolescents within the age range of 15-18 years, to identify the low emotionally competent and high emotionally competent adolescents. After the sample selection of 152 subjects (76 low emotionally competent and 76 high emotionally competent) Rosenberg’s Self-esteem scale and General well being scale were administered. Results indicate that high emotionally competent adolescents have high self-esteem and better general well being than low emotionally competent adolescents.


2021 ◽  
Vol 37 (3) ◽  
pp. 655-671
Author(s):  
Paolo Righi ◽  
Piero Demetrio Falorsi ◽  
Stefano Daddi ◽  
Epifania Fiorello ◽  
Pierpaolo Massoli ◽  
...  

Abstract For the first time in 2018 the Italian Institute of Statistics (Istat) implemented the annual Permanent Population Census which relies on the Population Base Register (PBR) and the Population Coverage Survey (PCS). This article provides a general overview of the PCS sampling design, which makes use of the PBR to correct population counts with the extended dual system estimator (Nirel and Glickman 2009). The sample allocation, proven optimal under a set of precision constraints, is based on preliminary estimates of individual probabilities of over-coverage and under-coverage. It defines the expected sample size in terms of individuals, and it oversamples the sub-populations subject to the risk of under/over coverage. Finally, the article introduces a sample selection method, which to the greatest extent possible satisfies the planned allocation of persons in terms of socio-demographic characteristics. Under acceptable assumptions, the article also shows that the sampling strategy enhances the precision of the estimates.


2017 ◽  
Vol 8 (2) ◽  
pp. 122-139
Author(s):  
Thia Margaretha Tarigan

This research aims to verify and provide empirical evidences about: the effect of Profitability, Solvability, and Audit Opinion to Timeliness with Auditor Quality as moderating variabel of manufacturing companies in Indonesia Stock Exchange. The population of this research are 138 manufacturing companies in Indonesia Stock Exchange (BEI) since 2010 – 2014. Sample selection of this research use purposive sampling method. The sample of this research are 78 manufacturing companies. Type of data used are secondary data, that collected by documentation. Statistical tool used is logistic regressions analysis. The result of this research concluded that only profitability have positive significant to timeliness while solvability and audit opinion have not significant to timeliness. Auditor quality as moderating variabel has not strengthened the correlation between profitability, and audit opinion to timeliness but not weaknessed the correlation between solvability to timeliness.


Entropy ◽  
2018 ◽  
Vol 20 (9) ◽  
pp. 631
Author(s):  
Marc Harper ◽  
Dashiell Fryer

We propose the entropy of random Markov trajectories originating and terminating at the same state as a measure of the stability of a state of a Markov process. These entropies can be computed in terms of the entropy rates and stationary distributions of Markov processes. We apply this definition of stability to local maxima and minima of the stationary distribution of the Moran process with mutation and show that variations in population size, mutation rate, and strength of selection all affect the stability of the stationary extrema.


2013 ◽  
Vol 10 (3) ◽  
pp. 348-356
Author(s):  
Yolanda Jordaan

Within the current privacy sensitive environment, an understanding of consumers’ information privacy concerns is critical. The objective of the study is to establish whether there is a difference between victims and non-victims of information privacy invasion, and whether this has an influence on their privacy concerns and protective behaviour. A probability (systematic) sampling design was used to draw a representative sample of 800 households where-after 800 telephone interviews were conducted with adults from these households. The findings show that victims had increased concern about information misuse by, and solicitation practices of, organisations, and they exhibit more protective behaviour than non-victims. This suggests that organisations should recognise that consumers believe that they have ownership of their personal information. Furthermore, organisations should share information of consumers in a way that is respectful, relevant and beneficial.


Sign in / Sign up

Export Citation Format

Share Document