tdir_backtrans

matrix with samples from truncated Dirichlet density. These samples should be transformed, so they range
over the entire real line

xi_mat

list containing indices for upper and lower truncation boundaries

boundaries

multiplicative elements for each lower and upper bound of each inequality constrained parameter.

mult_equal

vector of multiplicative elements of collapsed parameters

nr_mult_equal

vector of multiplicative elements of free parameters

nr_mult_free

specifies whether the imposed inequality constrained imposes an increasing (i.e., 'smaller') or
decreasing (i.e., 'larger') trend

hyp_direction

Transforms samples from the real line to samples from a truncated Dirichlet density using a stick-breaking algorithm.
This algorithm is suitable for mixtures of equality constrained parameters, inequality constrained parameters,
and free parameters

Evaluate hypotheses concerning the distribution of multinomial
proportions using bridge sampling. The bridge sampling routine is able to
compute Bayes factors for hypotheses that entail inequality constraints,
equality constraints, free parameters, and mixtures of all three. These
hypotheses are tested against the encompassing hypothesis, that all parameters
vary freely or against the null hypothesis that all category proportions are equal.
For more information see Sarafoglou et al. (2020) <doi:10.31234/osf.io/bux7p>.

Alexandra Sarafoglou

multibridge

Evaluating Multinomial Order Restrictions with Bridge Sampling

Frederik Aust

Julia M. Haaf

Joris Goosen

Quentin F. Gronau

Maarten Marsman

tdir_backtrans function

<dl><dt>xi_mat</dt>
<dd>matrix with samples from truncated Dirichlet density. These samples should be transformed, so they range
over the entire real line</dd>
<dt>boundaries</dt>
<dd>list containing indices for upper and lower truncation boundaries</dd>
<dt>mult_equal</dt>
<dd>multiplicative elements for each lower and upper bound of each inequality constrained parameter.</dd>
<dt>nr_mult_equal</dt>
<dd>vector of multiplicative elements of collapsed parameters</dd>
<dt>nr_mult_free</dt>
<dd>vector of multiplicative elements of free parameters</dd>
<dt>hyp_direction</dt>
<dd>specifies whether the imposed inequality constrained imposes an increasing (i.e., 'smaller') or
decreasing (i.e., 'larger') trend</dd></dl>

Arguments

Backtransforms Samples From Real Line To Dirichlet Parameters — tdir_backtrans

<dl>

<dt>xi_mat</dt>
<dd>matrix with samples from truncated Dirichlet density. These samples should be transformed, so they range
over the entire real line</dd>


<dt>boundaries</dt>
<dd>list containing indices for upper and lower truncation boundaries</dd>


<dt>mult_equal</dt>
<dd>multiplicative elements for each lower and upper bound of each inequality constrained parameter.</dd>


<dt>nr_mult_equal</dt>
<dd>vector of multiplicative elements of collapsed parameters</dd>


<dt>nr_mult_free</dt>
<dd>vector of multiplicative elements of free parameters</dd>


<dt>hyp_direction</dt>
<dd>specifies whether the imposed inequality constrained imposes an increasing (i.e., 'smaller') or
decreasing (i.e., 'larger') trend</dd>

</dl>

tdir_backtrans: Backtransforms Samples From Real Line To Dirichlet Parameters

Description

Usage

Value

Arguments