TOSTpaired.raw {TOSTER}R Documentation

TOST function for a dependent t-test (raw scores)

Description

TOST function for a dependent t-test (raw scores)

Usage

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

lower equivalence bounds (e.g., -0.5) expressed in raw scores

high_eqbound

upper equivalence bounds (e.g., 0.5) expressed in raw scores

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

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, 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 1.30 in sample of 65 pairs
## with correlation between observations of 0.745 using equivalence bounds in raw units of
## -0.34 and 0.34, (with default alpha setting of = 0.05).
TOSTpaired.raw(n=65,m1=5.83,m2=5.75,sd1=1.17,sd2=1.30,r12=0.745,low_eqbound=-0.34,high_eqbound=0.34)

[Package TOSTER version 0.7.1 Index]