wr.sigma.sqr {WRestimates}

Assumed Population Variance of a Win Ratio

Description

Calculate the assumed population variance of a win ratio.

\sigma^2 = (4 * (1 + p[tie]))/(3 * k * (1 - k) * (1 - p[tie])

Where;

p[tie] = The proportion of ties.

k = The proportion of subjects allocated to one group.

Usage

wr.sigma.sqr(k, p.tie)

Arguments

k

The proportion of subjects allocated to one group i.e. the proportion of patients allocated to treatment.

p.tie

The proportion of ties.

Value

wr.sigma.sqr returns an object of class "list" containing the following components:

sigma.sqr

Population variance of the natural log (ln) of the win ratio.

k

The proportion of subjects allocated to one group.

p.tie

The proportion of ties.

Author(s)

Autumn O'Donnell [e-mail]

References

Yu, R. X. and Ganju, J. (2022). Sample size formula for a win ratio endpoint. Statistics in medicine, 41(6), 950-963. doi: 10.1002/sim.9297.

See Also

wr.var