HajnalBF_twot: Hajnal's ratio in two-sample t tests

Description Usage Arguments Details Value Author(s) References Examples

View source: R/NAPfunctions.R

Description

In case of two independent populations N(μ_1,σ^2) and N(μ_2,σ^2) with unknown common variance σ^2, consider the two-sample t-test for testing the point null hypothesis of difference in their means H_0 : μ_2 - μ_1 = 0 against H_1 : μ_2 - μ_1 \neq 0. Based on an observed data, this function calculates the Hajnal's ratio in favor of H_1 when the prior assumed under the alternative on the difference between standardized effect sizes (μ_2 - μ_1)/σ places equal probability at and (δ>0 prefixed).

Usage

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HajnalBF_twot(obs1, obs2, n1Obs, n2Obs, mean.obs1, mean.obs2,
              sd.obs1, sd.obs2, test.statistic, es1 = 0.3)

Arguments

obs1

Numeric vector. Observed vector of data from Group-1.

obs2

Numeric vector. Observed vector of data from Group-2.

n1Obs

Numeric or numeric vector. Sample size(s) from Group-1. Same as length(obs1) when numeric.

n2Obs

Numeric or numeric vector. Sample size(s) from Group-2. Same as length(obs2) when numeric.

mean.obs1

Numeric or numeric vector. Sample mean(s) from Group-1. Same as mean(obs1) when numeric.

mean.obs2

Numeric or numeric vector. Sample mean(s) from Group-2. Same as mean(obs2) when numeric.

sd.obs1

Numeric or numeric vector. Sample standard deviations(s) from Group-1. Same as sd(obs1) when numeric.

sd.obs2

Numeric or numeric vector. Sample standard deviations(s) from Group-2. Same as sd(obs2) when numeric.

test.statistic

Numeric or numeric vector. Test-statistic value(s).

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.

Details

Value

Positive numeric or numeric vector. The Hajnal's ratio(s).

Author(s)

Sandipan Pramanik and Valen E. Johnson

References

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].

Examples

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HajnalBF_twot(obs1 = rnorm(100), obs2 = rnorm(100))

NAP documentation built on Jan. 6, 2022, 5:07 p.m.