ASSISTant-internal: Is a scalar quantity is a specified range?
In bnaras/ASSISTant: Adaptive Subgroup Selection in Group Sequential Trials

Description Usage Arguments Details Value References Examples

Check if the argument is a scalar within specified range

Check if the argument is within specified range

Check if the argument is a scalar integer within specified range

Check if the argument is an integer vector within specified range

The computation involves a J-1 multivariate normal integral of the conditional density of the i-th subgroup statistic given that it was maximal among all subgroups:

scalarInRange(x, low = -Inf, high = Inf)

numberInRange(x, low = -Inf, high = Inf)

scalarIntegerInRange(x, low = -Inf, high = Inf)

integerInRange(x, low = -Inf, high = Inf)

den.vs(v, i, mu.prime, Sigma.prime, fut)

`low`	the lower bound, default `-Inf`
`high`	the upper bound, default `Inf`
`v`	the value of the statistic
`i`	the subgroup
`mu.prime`	the conditional mean vector of the distribution of length J - 1; needs to be multipled by the conditional value, the parameter `v`.
`Sigma.prime`	the conditional covariance matrix of dimension J-1 by J-1
`fut`	the futility boundary, which is btilde for stages 1 and 2, but c for stage 3
`low`	the lower bound, default `-Inf`
`high`	the upper bound, default `Inf`
`low`	the lower bound, default `-Inf`
`high`	the upper bound, default `Inf`
`low`	the lower bound, default `-Inf`
`high`	the upper bound, default `Inf`

φ_i(v)(\int_0^v\int_0^v… \int_0^{\tilde{b}} φ_v(z_{-i})dz_{-i})

where z_{-i} denotes all subgroups other than i.

TRUE or FALSE

the conditional probability

Adaptive Choice of Patient Subgroup for Comparing Two Treatments by Tze Leung Lai and Philip W. Lavori and Olivia Yueh-Wen Liao. Contemporary Clinical Trials, Vol. 39, No. 2, pp 191-200 (2014). http://www.sciencedirect.com/science/article/pii/S1551714414001311

ASSISTant:::scalarInRange(x = 10, low = 2)  ## TRUE
ASSISTant:::scalarInRange(x = 10, high = 2) ## FALSE

ASSISTant:::numberInRange(x = 2:10, low = 2)  ## TRUE
ASSISTant:::numberInRange(x = 10:15, high = 2) ## FALSE

ASSISTant:::integerInRange(x = 10, low = 2)  ## TRUE
ASSISTant:::integerInRange(x = 10.5) ## FALSE

ASSISTant:::integerInRange(x = 2:10, low = 2)  ## TRUE
ASSISTant:::integerInRange(x = 10:15, high = 2) ## FALSE
ASSISTant:::integerInRange(x = c(0.5, 1.5), high = 2) ## FALSE