This research studies
the efficiency of two stage stratified sampling procedure under gamma
distribution. The main purpose of this research work is to determine the effect
of sample size on the precision of the estimate of the sample design. The
source of data that is used for the analysis under this research study is from
primary source. The data are set of data which exhibits gamma distribution of
different scales and each scale also has another set of data of different
shape, these data sets are obtained from simulation on R-package. The overall
stratified mean and the population total are obtained, also the standard error,
95% confidence interval and precision of these estimates are also computed for
each sample size. The selections of the sample size are varying to each other.
Selection of the primary units are 4, 5 and 6 primary units, for each primary
unit selected, for each primary unit, selection of secondary units are vary
from 4 to 16 units. The precision obtained for each sample unit are all
reliable, since all their precisions are all less than 10%, but it can be
deduced that as the sample size increases, the better the precision of the
estimate. Based on the findings of this study, it is later recommended that in
order to reduce the sampling error of the estimate of the characteristics of
the population under study in a large scale survey, especially when making use
of two stage stratified sampling procedure, an enumerator should try to
selected at least 50% percent of the primary units and secondary unit each from
the total population.

Effficiency of two stage stratified Sampling under Gamma Distribution

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