epiR (version 2.0.68)

epi.ssninfb: Sample size for a non-inferiority trial, binary outcome

Description

Sample size for a non-inferiority trial, binary outcome.

Usage

epi.ssninfb(treat, control, delta, n, power, r = 1, nfractional = FALSE, alpha)

Value

A list containing the following:

n.total

the total number of study subjects required.

n.treat

the required number of study subject in the treatment group.

n.control

the required number of study subject in the control group.

delta

the equivalence limit, as entered by the user.

power

the specified or calculated study power.

Arguments

treat

the expected proportion of successes in the treatment group.

control

the expected proportion of successes in the control group.

delta

the equivalence limit, expressed as the absolute change in the outcome of interest that represents a clinically meaningful difference. For a non-inferiority trial the value entered for delta must be greater than or equal to zero.

n

scalar, the total number of study subjects in the trial.

power

scalar, the required study power.

r

scalar, the number in the treatment group divided by the number in the control group.

nfractional

logical, return fractional sample size.

alpha

scalar, defining the desired alpha level.

Author

Many thanks to Aniko Szabo (Medical College of Wisconsin, Wisconsin USA) for improvements to the power calculations for this function and suggestions to improve the documentation.

References

Blackwelder WC (1982). Proving the null hypothesis in clinical trials. Controlled Clinical Trials 3: 345 - 353.

Ewald B (2013). Making sense of equivalence and non-inferiority trials. Australian Prescriber 36: 170 - 173.

Julious SA (2004). Sample sizes for clinical trials with normal data. Statistics in Medicine 23: 1921 - 1986.

Julious SA (2009). Estimating Samples Sizes in Clinical Trials. CRC, New York.

Machin D, Campbell MJ, Tan SB, Tan SH (2009). Sample Size Tables for Clinical Studies. Wiley Blackwell, New York.

Scott IA (2009). Non-inferiority trials: determining whether alternative treatments are good enough. Medical Journal of Australia 190: 326 - 330.

Wang B, Wang H, Tu X, Feng C (2017). Comparisons of superiority, non-inferiority, and equivalence trials. Shanghai Archives of Psychiatry 29, 385 - 388. DOI: 10.11919/j.issn.1002-0829.217163.

Zhong B (2009). How to calculate sample size in randomized controlled trial? Journal of Thoracic Disease 1: 51 - 54.

Examples

## EXAMPLE 1 (from Chow S, Shao J, Wang H 2008, p. 90):
## A pharmaceutical company would like to conduct a clinical trial to
## compare the efficacy of two antimicrobial agents when administered orally 
## to patients with skin infections. Assume the true mean cure rate of the 
## treatment is 0.85 and the true mean cure rate of the control is 0.65. 
## We consider the proportion cured in the treatment group minus the proportion 
## cured in the control group (i.e., delta) of 0.10 or less to be of no clinical 
## significance.

## Assuming a one-sided test size of 5% and a power of 80% how many 
## subjects should be included in the trial?

epi.ssninfb(treat = 0.85, control = 0.65, delta = 0.10, n = NA, power = 0.80, 
   r = 1, nfractional = FALSE, alpha = 0.05)

## A total of 50 subjects need to be enrolled in the trial, 25 in the 
## treatment group and 25 in the control group.


## EXAMPLE 1 (cont.):
## Suppose only 40 subjects were enrolled in the trial, 20 in the treatment
## group and 20 in the control group. What is the estimated study power?

epi.ssninfb(treat = 0.85, control = 0.65, delta = 0.10, n = 40, power = NA, 
   r = 1, nfractional = FALSE, alpha = 0.05)

## With only 40 subjects the estimated study power is 0.73.


## EXAMPLE 2:
## Assume the true mean cure rate for a treatment group to be 0.40 and the true
## mean cure rate for a control group to be the same, 0.40. We consider a 
## difference of 0.10 in cured proportions (i.e., delta = 0.10) to be of no 
## clinical importance.

## Assuming a one-sided test size of 5% and a power of 30% how many 
## subjects should be included in the trial?

n <- epi.ssninfb(treat = 0.4, control = 0.4, delta = 0.10, n = NA, power = 0.3, 
   r = 1, nfractional = TRUE, alpha = 0.05)$n.total
n

## A total of 120 subjects need to be enrolled in the trial, 60 in the 
## treatment group and 60 in the control group.

## Re-run the function using n = 120 to confirm that power equals 0.30:

epi.ssninfb(treat = 0.4, control = 0.4, delta = 0.10, n = n, power = NA, 
   r = 1, nfractional = TRUE, alpha = 0.05)$power

## With 120 subjects the estimated study power is 0.30.