`TOSTtwo.prop.Rd`

Development on `TOSTtwo.prop`

is complete, and for new code we recommend
switching to twoprop_test, which is easier to use, more featureful,
and still under active development.

```
TOSTtwo.prop(
prop1,
prop2,
n1,
n2,
low_eqbound,
high_eqbound,
alpha,
ci_type = "normal",
plot = TRUE,
verbose = TRUE
)
```

- prop1
proportion of group 1

- prop2
proportion of group 2

- n1
sample size in group 1

- n2
sample size in group 2

- low_eqbound
lower equivalence bounds (e.g., -0.1) expressed in proportions

- high_eqbound
upper equivalence bounds (e.g., 0.1) expressed in proportions

- alpha
alpha level (default = 0.05)

- ci_type
confidence interval type (default = "normal"). "wilson" produces Wilson score intervals with a Yates continuity correction while "normal" calculates the simple asymptotic method with no continuity correction.

- 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

Returns TOST z-value 1, TOST p-value 1, TOST z-value 2, TOST p-value 2, low equivalence bound, high equivalence bound, Lower limit confidence interval TOST, Upper limit confidence interval TOST

Tunes da Silva, G., Logan, B. R., & Klein, J. P. (2008). Methods for Equivalence and Noninferiority Testing. Biology of Blood Marrow Transplant, 15(1 Suppl), 120-127.

Yin, G. (2012). Clinical Trial Design: Bayesian and Frequentist Adaptive Methods. Hoboken, New Jersey: John Wiley & Sons, Inc.

```
## Equivalence test for two independent proportions equal to .65 and .70, with 100 samples
## per group, lower equivalence bound of -0.1, higher equivalence bound of 0.1, and alpha of 0.05.
TOSTtwo.prop(prop1 = .65, prop2 = .70, n1 = 100, n2 = 100,
low_eqbound = -0.1, high_eqbound = 0.1, alpha = .05)
#> TOST results:
#> Z-value lower bound: 0.756 p-value lower bound: 0.225
#> Z-value upper bound: -2.27 p-value upper bound: 0.012
#>
#> Equivalence bounds:
#> low eqbound: -0.1
#> high eqbound: 0.1
#>
#> TOST confidence interval:
#> lower bound 90% CI: -0.159
#> upper bound 90% CI: 0.059
#>
#> NHST confidence interval:
#> lower bound 95% CI: -0.18
#> upper bound 95% CI: 0.08
#>
#> Equivalence Test based on Fisher's exact z-test Result:
#> The equivalence test was non-significant, Z = 0.756, p = 0.225, given equivalence bounds of -0.100 and 0.100 and an alpha of 0.05.
#>
#>
#> Null-Hypothesis Fisher's exact z-test Result:
#> The null hypothesis test was non-significant, Z = -0.756, p = 0.450, given an alpha of 0.05.
#>
#>
#> NHST: don't reject null significance hypothesis that the effect is equal to 0
#> TOST: don't reject null equivalence hypothesis
```