Methods and formulas for Randomization Test for 2-Sample Means

Select the method or formula of your choice.

Average

Formula

Notation

TermDescription
difference in means of the ith resamples
B number of resamples
N number of observations for one group in the original sample

Standard deviation of the bootstrapping distribution

Formula

Notation

TermDescription
mean of the differences of the resamples
B number of resamples
difference in means of the ith resample

P-Value

Formula

The calculation of the p-value depends on the alternative hypothesis.
  • Mean less than hypothesized value:
  • Mean not equal to hypothesized value:
  • Mean greater than hypothesized value:

Notation

TermDescription
lnumber of bootstrap differences in means that are less than or equal to d
unumber of bootstrap differences in means that are greater than or equal to d
βnumber of resamples
nlnumber of bootstrap differences in means that are less than or equal to −d
nunumber of bootstrap differences in means that are greater than or equal to d
dsample difference in means
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