SnowsCorrectlySizedButOtherwiseUselessTestOfAnything: Snow's Correctly Sized But Otherwise Useless Test of Anything

Description

This is a hypothesis test designed to be correctly sized in that the probability of rejecting the null when it is true will be equal to your alpha level. Other than that it is a pretty useless test mainly intended for when people say something like "I just need a p-value".

Usage

SnowsCorrectlySizedButOtherwiseUselessTestOfAnything(x,
  data.name = deparse(substitute(x)),
  alternative = "You Are Lucky", ..., seed)

Arguments

The data, or nothing, or something equally irrelevant

data.name

The name of the data for the output

alternative

The phrase for the alternate hypothesis in the output

...

Additional arguments that will be silently ignored (like x), future versions may mockingly ignore these instead

seed

A seed (numeric or character) used to seed the random number generator. Use this or manually set the seed if you want reproducible (but still meaningless) results

Value

An object of class htest with the following elements:
p.valueThe p-value
statisticThe test statistic (identical to the p-value)
data.nameThe name of the data (if any)
methodThe name of the test
alternativea phrase representing the alternative hypothesis
seedoptionally the seed that was used

Details

Some of the advantages/disadvantages of this test include:

The probability of a Type I error is alpha

Power can be easily computed (it is alpha) Power is independent of the sample size Power is independent of the hypotheses This test is not affected by missing data (present data either) This test does not depend on any distributional or independence assumptions

References

The author is unlikely to be willing to publish in any "journal" that would be willing to publish this test.

Examples

Run this code

SnowsCorrectlySizedButOtherwiseUselessTestOfAnything(log(rnorm(100)))

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