fixedHajnal.onez_es: Fixed-design one-sample z-tests using Hajnal's ratio for...
In NAP: Non-Local Alternative Priors in Psychology

Description Usage Arguments Value Author(s) References Examples

In two-sided fixed design one-sample z-tests with composite alternative prior assumed on the standardized effect size μ/σ_0 under the alternative, this function calculates the expected log(Hajnal's ratio) at a prefixed standardized effect size for a varied range of sample sizes.

1 2	fixedHajnal.onez_es(es = 0, es1 = 0.3, nmin = 20, nmax = 5000, sigma0 = 1, batch.size.increment, nReplicate = 50000)

`es`	Numeric. Standardized effect size where the expected weights of evidence is desired. Default: `0`.
`es1`	Positive numeric. Default: 0.3. For this, the composite alternative prior on the standardized effect size μ/σ_0 takes values 0.3 and -0.3 each with equal probability 1/2.
`nmin`	Positive integer. Minimum sample size to be considered. Default: 20.
`nmax`	Positive integer. Maximum sample size to be considered. Default: 5000.
`sigma0`	Positive numeric. Known standard deviation in the population. Default: 1.
`batch.size.increment`	function. Increment in sample size. The sequence of sample size thus considered for the fixed design test is from `nmin` to `nmax` with an increment of `batch.size.increment`. Default: `function(narg){20}`. This means an increment of 20 samples at each step.
`nReplicate`	Positve integer. Number of replicated studies based on which the expected weights of evidence is calculated. Default: 50,000.

A list with two components named summary and BF.

$summary is a data frame with columns n containing the values of sample sizes and avg.logBF containing the expected log(Hajnal's ratios) at those values.

$BF is a matrix of dimension number of sample sizes considered by nReplicate. Each row contains the Hajnal's ratios at the corresponding sample size in nReplicate replicated studies.

Sandipan Pramanik and Valen E. Johnson

Hajnal, J. (1961). A two-sample sequential t-test.Biometrika, 48:65-75, [Article].

Schnuerch, M. and Erdfelder, E. (2020). A two-sample sequential t-test.Biometrika, 48:65-75, [Article].