Sample Size Determination

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Clinical Trial: Equivalence Design

This utility can be used to calculate required sample size for a clinical trial with equivalence design when the outcome variable is in ratio scale.

Formula used and other details
Your guesstimate of Mean in test arm (M1). Approxiate estimate of mean in test arm based on previous studies / pilot studies etc.
Your guesstimate of Standard Deviation of mean in test arm (SD1) Approxiate estimate of Standard Deviation of mean in test arm, based on previous studies / pilot studies etc.
Your guesstimate of mean in control arm (M2) Approxiate estimate of mean in control arm based on previous studies / pilot studies etc.
Your guesstimate of Standard Deviation of mean in control arm (SD2) Approxiate estimate of Standard Deviation of mean in control arm, based on previous studies / pilot studies etc.
Ratio of Sample Size in two arms (Groups) (N2 / N1) Sample Size in Group 2 (control arm) / Sample Size in Group 1 (test arm)
Confidence Level % In percentage. Commonly used values are 95, 99 and 90. Should be between 0.01 to 99.99.
Power ( 1 - β) In Percentage. Should be between 0.01 to 99.99. Common values are 80 % and 90 %.
Equivalence Margin (d) It is the clinically meaningful margin on either side of P2 to define equivalence of P1. Test arm mean should be within control arm mean by this equivalence margin to consider test intervention is equivalent to control intervention.
Two sided test Being an equivalence design, hypothesis test is always two sided. However sample size is calculated using two one sided tests (TOST).
Sample Size Required =