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Bootstrapping and permutational method in hypothesis testing
Nor Aishah Ahad1, Ang, Jin Sheng2, Bidin Yatim3.
Classical parametric tests such as t-test is a powerful analytical tool to test the
equality of central tendency for two groups. However, the use of parametric
tests restricted to certain assumptions such as the data must be continuous and
normally distributed, variances for different groups must be homogeneous, data
must be randomly sampled and the observations must be independent. When the
situations do not meet these assumptions, especially when the data is continuous
but not normally distributed or with the small sample size, the Type I error and
power rates will be affected drastically. Therefore, non-parametric test is an
alternative for researcher when normality assumption of parametric test is
violated. However, due to loss of information when using non-parametric test,
researchers tend to find more alternative tests such as resampling methods.
Bootstrapping and permutation test are the focus in this study. Performance of
parametric tests, non-parametric tests, bootstrapping and permutation test in
different simulated situations were measured in term of Type I error and power
of test and compared via Monte Carlo studies. Through this study, permutation
test perform better than bootstrapping in most cases. Overall, resampling
methods perform better than parametric test when normality assumptions are
violated.
Affiliation:
- Universiti Utara Malaysia, Malaysia
- Universiti Utara Malaysia, Malaysia
- Universiti Utara Malaysia, Malaysia
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