fixedHajnal.twot_n: Fixed-design two-sample t-tests using Hajnal's ratio and a...
In NAP: Non-Local Alternative Priors in Psychology

Description Usage Arguments Value Author(s) References Examples

In two-sided fixed design two-sample t-tests with composite alternative prior assumed on the standardized effect size (μ_2 - μ_1)/σ under the alternative and a prefixed sample size, this function calculates the expected log(Hajnal's ratio) at a varied range of differences between standardized effect sizes.

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fixedHajnal.twot_n(es1 = 0.3, es = c(0, 0.2, 0.3, 0.5), 
                   n1.fixed = 20, n2.fixed = 20, 
                   nReplicate = 50000, nCore)

`es1`	Positive numeric. δ as above. Default: 0.3. For this, the prior on (μ_2 - μ_1)/σ takes values 0.3 and -0.3 each with equal probability 1/2.
`es`	Numeric vector. Standardized effect size differences (μ_2 - μ_1)/σ where the expected weights of evidence is desired. Default: `c(0, 0.2, 0.3, 0.5)`.
`n1.fixed`	Positive integer. Prefixed sample size from Group-1. Default: 20.
`n2.fixed`	Positive integer. Prefixed sample size from Group-2. Default: 20.
`nReplicate`	Positve integer. Number of replicated studies based on which the expected weights of evidence is calculated. Default: 50,000.
`nCore`	Positive integer. Default: One less than the total number of available cores.

A list with two components named summary and BF.

$summary is a data frame with columns effect.size containing the values in es and avg.logBF containing the expected log(Hajnal's ratios) at those values.

$BF is a matrix of dimension length(es) by nReplicate. Each row contains the Hajnal's ratios at the corresponding standardized effec 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].