TOSTER (version 0.8.3)

power_t_TOST: Power calculations for TOST for t-tests

Description

Calculates the exact power of two one sided t-tests (TOST) for one, two, and paired samples.

Usage

power_t_TOST(
  n = NULL,
  delta = 0,
  sd = 1,
  eqb,
  low_eqbound = NULL,
  high_eqbound = NULL,
  alpha = NULL,
  power = NULL,
  type = "two.sample"
)

Arguments

n

number of observations per group. 2 sample sizes, in a vector, can be provided for the two sample case.

delta

true difference in means (default is 0).

sd

population standard deviation. Standard deviation of the differences for paired samples.

eqb

Equivalence bound. Can provide 1 value (negative value is taken as the lower bound) or 2 specific values that represent the upper and lower equivalence bounds.

low_eqbound

Lower equivalence bounds. Deprecated use eqb.

high_eqbound

Upper equivalence bounds. Deprecated use eqb.

alpha

a priori alpha-level (i.e., significance level).

power

power of the TOST procedure (1-beta).

type

string specifying the type of t-test.

Details

The exact calculations of power are based on Owen’s Q-function or by direct integration of the bivariate non-central t-distribution (inspired by the PowerTOST package). Approximate power is implemented via the non-central t-distribution or the ‘shifted’ central t-distribution.

References

Phillips KF. Power of the Two One-Sided Tests Procedure in Bioequivalence. J Pharmacokin Biopharm. 1990;18(2):137–44. doi: 10.1007/BF01063556

Diletti D, Hauschke D, Steinijans VW. Sample Size Determination for Bioequivalence Assessment by Means of Confidence Intervals. Int J Clin Pharmacol Ther Toxicol. 1991;29(1):1–8.

See Also

Other power: power_eq_f(), power_z_cor()