SBFHajnal_onez {NAP} | R Documentation |
Sequential Bayes Factor using the Hajnal's ratio for one-sample
-tests
Description
In a population with known variance
, consider the two-sided one-sample
-test for testing the point null hypothesis
against
. This function calculates the operating characteristics (OC) and average sample number (ASN) of the Sequential Bayes Factor design when the prior assumed on the standardized effect size
under the alternative places equal probability at
and
(
prefixed).
Usage
SBFHajnal_onez(es = c(0, 0.2, 0.3, 0.5), es1 = 0.3,
nmin = 1, nmax = 5000, sigma0 = 1,
RejectH1.threshold = exp(-3), RejectH0.threshold = exp(3),
batch.size.increment, nReplicate = 50000, nCore)
Arguments
es |
Numeric vector. Standardized effect sizes |
es1 |
Positive numeric. |
nmin |
Positive integer. Minimum sample size in the sequential comparison. Default: 1. |
nmax |
Positive integer. Maximum sample size in the sequential comparison. Default: 1. |
sigma0 |
Positive numeric. Known standard deviation in the population. Default: 1. |
RejectH1.threshold |
Positive numeric. |
RejectH0.threshold |
Positive numeric. |
batch.size.increment |
function. Increment in sample size at each sequential step. Default: |
nReplicate |
Positve integer. Number of replicated studies based on which the OC and ASN are calculated. Default: 50,000. |
nCore |
Positive integer. Default: One less than the total number of available cores. |
Value
A list with three components named summary
, BF
, and N
.
$summary
is a data frame with columns effect.size
containing the values in es
. At those values, acceptH0
contains the proportion of times H_0
is accepted, rejectH0
contains the proportion of times H_0
is rejected, inconclusive
contains the proportion of times the test is inconclusive, ASN
contains the ASN, and avg.logBF
contains the expected weight of evidence values.
$BF
is a matrix of dimension length(es)
by nReplicate
. Each row contains the Bayes factor values at the corresponding standardized effec size in nReplicate
replicated studies.
$N
is a matrix of the same dimension as $BF
. Each row contains the sample size required to reach a decision at the corresponding standardized effec size in nReplicate
replicated studies.
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
out = SBFHajnal_onez(nmax = 100, es = c(0, 0.3), nCore = 1)