Estimation in Elusive Populations Using Multiple Frames and Two-Phase Multiple Frames in the Presence of Measurement and Response Errors
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Date
2020
Authors
Mutanu, Beth
Kahiri, James
Odongo, Leo
Journal Title
Journal ISSN
Volume Title
Publisher
science publishing group
Abstract
Accurate survey data is important for planning and decision making. The presence of measurement and response
errors in surveys has been known to negatively affect the efficiency of estimates as well as to create biases in estimates. It is
important to investigate the effects of measurement and response errors when computing survey data so as to obtain reliable
information for use by statisticians and policy makers. Unavailability of a sampling frame in a survey for elusive populations
has led to the application of multiple frames in sample selection processes. This paper investigates the effect of measurement
and response errors in population estimation under multiple and two-phase multiple frames for elusive populations. The effect
of random errors and biases from systematic errors on simple and correlated response variances under various levels of
multiplicity adjustment factor in multiple frames is carried out. A numerical example is given assuming simple random
sampling. The net effect of the errors has been found to inflate simple and correlated response variances and hence
overestimation of the variances under different variance estimators. It is therefore recommended that both measurement and
response errors be put into consideration when designing and carrying out a survey for more accurate results
Description
article
Keywords
Elusive Populations, Multiple Adjustment Factor, Simple Response Variance, Correlated Response Variance, Multiple Frames, Measurement Errors
Citation
Mutanu Beth, Kahiri James, Odongo Leo. Estimation in Elusive Populations Using Multiple Frames and Two-Phase Multiple Frames in the Presence of Measurement and Response Errors. American Journal of Theoretical and Applied Statistics. Vol. 9, No. 5, 2020, pp. 173-184. doi: 10.11648/j.ajtas.20200905.11