hyp.test: Closed Testing for ASD
In asd: Simulations for Adaptive Seamless Designs

Description Usage Arguments Details Value Author(s) References See Also Examples

Implements the closure principle (Marcus et al., 1976) for controlling the familywise type I error rate in ASD.

1	hyp.test(comb.test, level = level, full.hyp = FALSE)

`comb.test`	Output from function `combn.test`
`level`	Test level (default=0.025)
`full.hyp`	Logical indicating whether the full set of intersection hypotheses should be reported; default `FALSE`

In order to control the familywise type I error rate in the strong sense at the pre-specified level α the closure principle (Marcus et al., 1976) is applied. This means that an individual null hypothesis is rejected if and only if all intersection hypotheses are also rejected at level α.

`reject`	Matrix indicating whether elementary hypotheses have been rejected
`all.rejects`	Matrix indicating rejections for each intersection hypothesis, if `full.hyp`=`TRUE`
`all.hyp`	Matrix labelling each intersection hypothesis, if `full.hyp`=`TRUE`

Nick Parsons (nick.parsons@warwick.ac.uk)

Marcus R, Peritz E, Gabriel KR. On closed testing procedures with special reference to ordered analysis of variance. Biometrika 1976;63:655-660.

treatsel.sim,dunnett.test, combn.test, select.rule, simeans.binormal

stage1 <- dunnett.test(c(0.75,1.5,2.25))
stage2 <- dunnett.test(c(0.15,1.75,2.15))
comb.test <- combn.test(stage1,stage2,weight=0.5)
hyp.test(comb.test,level=0.025,full.hyp=FALSE)

# more output
hyp.test(comb.test,level=0.025,full.hyp=TRUE)