scalarInRange | R Documentation |
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 |
high |
the upper bound, default |
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 |
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 |
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
TRUE
or FALSE
TRUE
or FALSE
TRUE
or FALSE
the conditional probability
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