2003
DOI: 10.1002/sim.1450
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Assessing non‐inferiority of a new treatment in a three‐arm clinical trial including a placebo

Abstract: In non-inferiority trials, where non-inferiority of a new experimental drug compared to an active control has to be shown, it may be advisable to use an additional placebo group for internal validation if ethically justifiable. The focus of this paper is on such designs. Assuming normality and homogeneity of variances we will derive a statistical test procedure which turns out to be equivalent to the assessment based on Fieller's confidence interval. Based on the power function of this test, sample size calcul… Show more

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Cited by 128 publications
(235 citation statements)
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“…(12) It was assumed that the placebo-adjusted effect for both treatment groups was 1.56% and that the placebo-adjusted effect for the oral rsCT tablets must be at least 0.5 times the placebo-adjusted effect for the ssCT nasal spray for the study to demonstrate the non-inferiority of the oral rsCT tablets to the ssCT nasal spray. Thus we wished to have 95% confidence that the oral tablets were not less than one-half as effective as nasal spray.…”
Section: Discussionmentioning
confidence: 99%
“…(12) It was assumed that the placebo-adjusted effect for both treatment groups was 1.56% and that the placebo-adjusted effect for the oral rsCT tablets must be at least 0.5 times the placebo-adjusted effect for the ssCT nasal spray for the study to demonstrate the non-inferiority of the oral rsCT tablets to the ssCT nasal spray. Thus we wished to have 95% confidence that the oral tablets were not less than one-half as effective as nasal spray.…”
Section: Discussionmentioning
confidence: 99%
“…for the standardized difference). Pigeot et al (2003) or Tang & Tang (2004) investigated trials where the noninferiority margin δ 1 for a new treatment compared to a standard treatment is specified as a fraction of the true difference between the standard treatment and placebo. This setting can also be treated with help of the LR test -both asymptotically and exact.…”
Section: Discussionmentioning
confidence: 99%
“…See e.g. Wiens & Iglewicz (1999) and Tang & Tang (2004) for an account of methods for the assessment of noninferiority with binary data, or Pigeot, Schäfer, Röhmel & Hauschke (2003) for the case of normal responses.…”
Section: Introductionmentioning
confidence: 99%
“…[11][12] The approach illustrated here considers having the outcome variables that are normally distributed with common but unknown variances and that higher values correspond to better efficacy. The statistical procedure follows the one proposed in earlier study, 12 that is testing superiority of reference against placebo in the first place, and then followed with testing non-inferiority of experimental treatment against the reference, provided that superiority can be established in the first stage. The hypothesis formulation in the second stage is given as follows:…”
Section: 20 Statistical Design For Three-arm Non-inferiority Trialsmentioning
confidence: 99%
“…Note that Equation (2) is slightly different from the previous study, 12 since it considers expressing the sample sizes in experimental and reference groups as proportions of those in the placebo group. Thus, the total sample size, N for a clinical study is given as:…”
Section: 20 Statistical Design For Three-arm Non-inferiority Trialsmentioning
confidence: 99%