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Interest in computer based resampling methods has risen dramatically
over the past 20 years. Two resampling methods, bootstrapping and
permutation tests, has been applied successfully to areas of statistical
modelling where "traditional" standard errors, confidence
intervals and significance tests are unavailable or of doubtful
accuracy.
Even in situations where traditional methods are usually applied,
resampling methods are valuable as a validity check, and the answers
may surprise many experienced statisticians. For example, the old
rule of requiring sample sizes of at least 30 before applying Gaussian-based
methods is inaccurate in the presence of skewness. Resampling methods
offer graphical and numerical diagnostics for standard assumptions.
Resampling methods also offer practitioners greater flexibility
in modeling. They are no longer constrained to use simple statistics
such as sample means. They may use robust alternatives, and use
resampling for inferences.
Similarly, resampling offers the flexibility to handle complex
sampling situations, without the need for extensive analytical derivations.
The basic rule is to resample in a way consistent with the original
data collection. For example, when sampling from a finite population
one should use a finite-population resampling method.
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