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acceptable (i.e. neither too large nor too small), the sample size of 384 is generally considered
to be sufficient for estimating the prevalence rate for most of the cases.
In contrast to prevalence rate, the sample size required to estimate the population
mean is usually smaller (Bujang et al., 2012; Bujang et al., 2015). However, this may not
hold true if the margin of error selected by the researcher is different, since a smaller margin
of error will always necessitate a bigger sample size. Therefore, it is up to the researcher to
decide how small the margin of error in sample populations they intend to detect, since a
larger sample will be required to detect a smaller margin of error.
For those studies that involve hypothesis testing, the sample size required is
determined by three components, such as type I error (usually fixed at 0.05), power (usually
fixed at 80.0%) and the effect size. The effect size is estimated by using a different formula,
which shall depend on the specific statistical test employed. It is recommended that a sample
size of at least 500 to be required for performing most of the common statistical hypotheses
Bujang et al.,2015). Nevertheless, researchers should always bear in mind that all sample size
calculations will have to take into account all the specific study objectives, in order to ensure
that the power attained by the study will be sufficient to address all the study objectives.
There are numerous guidelines that currently exist in the literature for estimating the
minimum sample sizes required for performing (i) the sensitivity and specificity test, (ii) the
correlation test, (iii) the intra-class correlation coefficient, (iv) kappa agreement, (v) multiple
linear regression and (vi) analysis of covariance, (vii) Cronbach's alpha test, (viii) logistic
regression, (ix) survival analysis (Concato et al., 1995; Bujang et al., 2016; Bujang &
Baharum, 2016; Bujang & Baharum, 2017a; Bujang & Baharum, 2017b; Bujang et al., 2017;
Bujang et al., 2018a; Bujang et al., 2018b).