Description Usage Arguments Value Author(s) References See Also
This function aims at analysing some multiple continuous endpoints with individual testing procedures (Bonferroni, Holm, Hochberg). These procedures, based on a Union-Intersection test procedure, allow to take into account the correlation between the different endpoints in the analysis. This function uses critical values from Romano et al. to control the q-gFWER. Different structures of the covariance matrices between endpoints are considered.
1 2 | indiv.analysis(method, XE, XC, d, matrix.type, equalSigmas, alpha =
0.05, q = 1, rho = NULL, alternative = "greater", orig.Hochberg = FALSE)
|
method |
"Bonferroni", "Holm" or "Hochberg". When |
XE |
matrix (of size n_E \times m) of the outcome for the experimental (test) group. |
XC |
matrix (of size n_C \times m) of the outcome for the control group. |
d |
vector of length |
matrix.type |
integer value equal to 1, 2, 3, 4 or 5. A value of 1 indicates multisample sphericity. A value of 2 indicates multisample variance components. A value of 3 indicates multisample compound symmetry. A value of 4 indicates multisample compound symmetry with unequal individual (endpoints) variances. A value of 5 indicates unstructured variance components. |
equalSigmas |
logical. Indicates if Σ_E is equal to Σ_C. |
alpha |
value which corresponds to the chosen q-gFWER type-I error rate control bound. |
q |
integer. Value of 'q' (q=1,...,m) in the q-gFWER of Romano et
al., which is the probability to make at least |
rho |
NULL or should be provided only if |
alternative |
NOT USED YET. Character string specifying the alternative hypothesis, must be one of "two.sided", "greater" or "less". |
orig.Hochberg |
logical. To use the standard Hochberg's procedure. |
list(stat = statvec, pvals = pvals, AdjPvals = pvals.adj, sig2hat = varhatvec)
stat |
individual test statistic values. |
pvals |
non corrected p-values. |
pvals.adj |
corrected p-values. |
sig2hat |
estimated variance (i.e., square of denominator of the test statistic. |
P. Lafaye de Micheaux, B. Liquet and J. Riou
Delorme P., Lafaye de Micheaux P., Liquet B., Riou, J. (2015). Type-II Generalized Family-Wise Error Rate Formulas with Application to Sample Size Determination. Submitted to Statistics in Medicine.
Romano J. and Shaikh A. (2006) Stepup Procedures For Control of Generalizations of the Familywise Error Rate. The Annals of Statistics, 34(4), 1850–1873.
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