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what are additional questions to ask when evaluating a non-inferiority trial
did the investigators guard against unwarranted conclusion of non-inferiority?
was the effect of the standard treatment preserved?
did the investigators analyze patients according to the treatment received and to the groups to which they were assigned?
what is a superiority trial
a study to prove one intervention is better than the other
often superiority vs placebo
what is the null hypothesis for a superiority trial
start by assuming there is no difference between groups
what is the alternative hypothesis for a superiority trial
suggests that there is a difference between groups
what is a type 1 error
probability of concluding that there was a difference, when there was no difference
i.e. false positive

what is the probability of making a type 1 error
alpha
arbitrarily set at 0.05 → p < 0.05
what is a type 2 error
probability of concluding there was no difference when there was a difference
i.e. false negative

what is the probability of making a type 2 error
beta
what is the main determinant of making a type 2 error
sample size
what are the 3 possible outcomes of a superiority trial

what are problems with superiority RCTs
unethical to do a placebo-controlled trial
regulatory agencies want clinical endpoint trials, not surrogate endpoint trials
incremental benefits of therapies are getting smaller
may want to prove that a new drug is efficacious and: safer, costs less, more convenient, improves quality of life
what is an example of a research question for a superiority trial
with a 95% certainty can I say that the mortality rate of the study drug is 30% lower than that of the control?
what is an example of a research question for an equivalence trial
with a 90% certainty can I say that the AUC for a generic formulation of a drug lies within 80% to 125% of the AUC for the brand name standard?
what is an example of a research question for a non-inferiority trial
with a 95% certainty, can I say that Drug A is no worse than 30% than Drug B?
what is the purpose of equivalence trial
aim to rule out differences between two treatments
this difference is outside a zone of scientific or clinical indifference
most commonly done in the context of establishing bioequivalence of generic medications

what is the goal of non-inferiority trials
designed to prove that one intervention is not worse than another treatment by some pre-specified amount
amount of benefit you are willing to sacrifice to use the new drug instead of the old drug
where are they used: CVOT in diabetes, novel oral anticoagulants in atrial fibrillation, antibiotic therapy, new inhaled therapies for COPD

what is the null hypothesis of a non-inferiority trial
there is a difference between groups
what is the alternative hypothesis for a non-inferiority trial
the difference in effect between the new and old interventions is less than the pre-specified amount
what is a type 1 error of a non-inferiority trial
deciding a treatment is non-inferior when it is inferior
i.e. false negative (opposite of normal type 1 error)
what is a type 2 error of a non-inferiority trial
deciding a treatment is inferior when it is actually non-inferior
i.e. false positive (opposite of normal type 2 error)
what else can an non-inferiority trial show
can show superiority
must test for non-inferiority first, then superiority
what are the 3 interpretations if non-inferiority is shown
both drugs are equally effective (not worse than)
both drugs are equally ineffective
the trial was insufficiently designed to find a difference
how should a failed superiority trial be interpreted
negative superiority trials do not demonstrate that therapies are equivalent
lots of time the trials are not large enough to show equivalence
what is the risk of a poorly done non-inferiority trial
falsely suggest there is no difference between groups → false negative trial and drug put into practice
how can investigators guard against an unwarranted conclusion of non-inferiority
ensure the active control was previously proven to be effective
ensure study patients and outcomes are similar to those in the original trials establishing efficacy of the active control
ensure both regimens were applied in optimal fashion
ensure patients are analyzed according to the treatment they received and to the groups they were assigned
ensure the non-inferiority margin is pre-specified
ensure sample size is large enough
what is the issue of assay sensitivity seen in non-inferiority trials
in some disease settings even truly effective drugs do not always show a benefit in clinical trials
assay sensitivity = the ability to distinguish effective from ineffective therapies
what are some ways that investigators can produce apparent non-inferiority
enrolling patients less likely to be adherent
enrolling patients less likely to be responsive to standard treatment
enrolling a low-risk population
reducing treatment intensity
administering treatment by a suboptimal route
terminating follow up before treatment effects manifest
what is the effect of using intention to treat analysis in a superiority trial
underestimates treatment effect, favours finding no difference
what is the effect of using per protocol analysis in a superiority trial
overestimates treatment effect, favours finding a difference
what is the effect of using intention to treat analysis in a non-inferiority trial
underestimates treatment effect, favours finding non-inferiority
what is the effect of using per protocol analysis in a non-inferiority trial
overestimates treatment effect, favours finding against non-inferiority
how to ttell a study has a non-inferiority goal
look for the non-inferiority statement: this intervention is not that much worse than the control
how is a pre-specified margin set in a non-inferiority trial
main approaches: statistical method, clinical method
margin may be set using: absolute differences, relative differences
the margin should be based on sound statistical reasoning and clinical judgement
should be: defined a priori, justified clinically, must be smaller than the difference between gold standard and placebo in superiority trials
what is the smallest acceptable degree of clinical inferiority of the new treatment
at least 50% of the minimal treatment effect of the active control demonstrated in prior meta-analysis be preserved
OR or RR of 1.15 to 1.20 has been commonly used as a clinically acceptable margin
why is it important that the sample size is large enough in a study
failure to find a difference when one really exists (type 2 error) may be due to lack of power because of small sample size or low event rates
in non-inferiority trials, the smaller the margin on non-inferiority, the more study subjects and events needed to show non-inferiority
what is the sample size of a study dependent on
power (increased power = increased sample size)
type 1 error rate (alpha, usually 0.05 but smaller = greater sample size)
estimated difference you think you will detect (smaller difference = greater sample size)