Description Usage Arguments Details Value Author(s) References Examples
In a N(μ,σ_0^2) population with known variance σ_0^2, consider the two-sided one-sample z-test for testing the point null hypothesis H_0 : μ = 0 against H_1 : μ \neq 0. Based on an observed data, this function calculates the Hajnal's ratio in favor of H_1 when the prior assumed on the standardized effect size μ/σ_0 under the alternative places equal probability at +δ and -δ (δ>0 prefixed).
1 2 | HajnalBF_onez(obs, nObs, mean.obs, test.statistic,
es1 = 0.3, sigma0 = 1)
|
obs |
Numeric vector. Observed vector of data. |
nObs |
Numeric or numeric vector. Sample size(s). Same as |
mean.obs |
Numeric or numeric vector. Sample mean(s). Same as |
test.statistic |
Numeric or numeric vector. Test-statistic value(s). |
es1 |
Positive numeric. δ as above. Default: 0.3. For this, the prior on the standardized effect size μ/σ_0 takes values 0.3 and -0.3 each with equal probability 1/2. |
sigma0 |
Positive numeric. Known standard deviation in the population. Default: 1. |
Users can either specify obs
, or nObs
and mean.obs
, or nObs
and test.statistic
.
If obs
is provided, it returns the corresponding Bayes factor value.
If nObs
and mean.obs
are provided, the function is vectorized over both arguments. Bayes factor values corresponding to the values therein are returned.
If nObs
and test.statistic
are provided, the function is vectorized over both arguments. Bayes factor values corresponding to the values therein are returned.
Positive numeric or numeric vector. The Hajnal's ratio(s).
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].
1 | HajnalBF_onez(obs = rnorm(100))
|
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