binMto (version 0.0-7)

binMto-package: Asymptotic simultaneous confdence intervals for many-to-one comparisons of proportions

Description

Asymptotic simultaneous confidence intervals for comparison of many treatments with one control, for the difference of proportions, allows for Dunnett-like-adjustment, Bonferroni or unadjusted intervals.

Details

A formal definition and simulation results of the simultaneous coverage probability under various conditions can be found in Schaarschmidt et al. (2009).

References

Schaarschmidt, F., Biesheuvel, E., Hothorn, L.A. (2009) Asymptotic simultaneous confidence intervals for many-to-one comparisons of binary proportions in randomized clinical trials, Journal of Biopharmaceutical Statistics 19(2):292-310.

Examples

# NOT RUN {
# binMto:
# Calculate and plot approximate simultaneous
# confidene intervals for many-to-one comparisons of a
# dichotomous variable in a one-way model. 

# Example from Table 5 in Koch, HF and Hothorn, LA,
# JSPI 82, 83-99:
# A toxicity study with 100 mice randomised in 4 groups.
# Response x was number of deaths after 6 months.
# Control (n=40, x=4), 10 mg/kg (n=20, x=1),
# 50 mg/kg (n=20, x=6), 100 mg/kg (n=20, x=8).

# Approximate simultaneous 95% add-4-CI: 

many21<-binMto(n=c(40,20,20,20), x=c(4,1,6,8),
 names=c("Control", "10mg", "50mg", "100mg"))

many21

plot(many21)

# Note that normal approximation becomes problematic for np(1-p)<2.

# }