TOSTpaired: TOST function for a dependent t-test (Cohen's dz)

In TOSTER: Two One-Sided Tests (TOST) Equivalence Testing

TOST function for a dependent t-test (Cohen's dz)

Description

Development on this function is complete, and for new code we recommend switching to tsum_TOST, which is easier to use, more featureful, and still under active development.

Usage

TOSTpaired(
  n,
  m1,
  m2,
  sd1,
  sd2,
  r12,
  low_eqbound_dz,
  high_eqbound_dz,
  alpha,
  plot = TRUE,
  verbose = TRUE
)

TOSTpaired.raw(
  n,
  m1,
  m2,
  sd1,
  sd2,
  r12,
  low_eqbound,
  high_eqbound,
  alpha,
  plot = TRUE,
  verbose = TRUE
)

Arguments

n	sample size (pairs)
m1	mean of group 1
m2	mean of group 2
sd1	standard deviation of group 1
sd2	standard deviation of group 2
r12	correlation of dependent variable between group 1 and group 2
low_eqbound_dz	lower equivalence bounds (e.g., -0.5) expressed in standardized mean difference (Cohen's dz)
high_eqbound_dz	upper equivalence bounds (e.g., 0.5) expressed in standardized mean difference (Cohen's dz)
alpha	alpha level (default = 0.05)
plot	set whether results should be plotted (plot = TRUE) or not (plot = FALSE) - defaults to TRUE
verbose	logical variable indicating whether text output should be generated (verbose = TRUE) or not (verbose = FALSE) - default to TRUE
low_eqbound	lower equivalence bounds (e.g., -0.5) expressed in raw scores
high_eqbound	upper equivalence bounds (e.g., 0.5) expressed in raw scores

Value

Returns TOST t-value 1, TOST p-value 1, TOST t-value 2, TOST p-value 2, degrees of freedom, low equivalence bound, high equivalence bound, low equivalence bound in dz, high equivalence bound in dz, Lower limit confidence interval TOST, Upper limit confidence interval TOST

References

Mara, C. A., & Cribbie, R. A. (2012). Paired-Samples Tests of Equivalence. Communications in Statistics - Simulation and Computation, 41(10), 1928-1943. https://doi.org/10.1080/03610918.2011.626545, formula page 1932. Note there is a typo in the formula: n-1 should be n (personal communication, 31-8-2016)

Examples

## Test means of 5.83 and 5.75, standard deviations of 1.17 and 1.29 in sample of 65 pairs
## with correlation between observations of 0.75 using equivalence bounds in Cohen's dz of
## -0.4 and 0.4 (with default alpha setting of = 0.05).
TOSTpaired(n=65,m1=5.83,m2=5.75,sd1=1.17,sd2=1.29,r12=0.75,low_eqbound_dz=-0.4,high_eqbound_dz=0.4)

TOSTER documentation built on May 29, 2024, 9:57 a.m.