exData

A dataset containing an example test set result to run a predictive probability model
with a continuous response variable.
This data set is a result of a 2^4 full factorial with five replicates that included five
main effects, with two-way interactions (excluding two-way interactions for the third factor).
This design has a power of 80%, with an 80% confidence level, to detect a difference of 50
units with a standard deviation of 100 units.

datasets

A Bayesian approach to using
predictive probability in an ANOVA construct with a continuous normal response,
when threshold values must be obtained for the question of interest to be
evaluated as successful (Sieck and Christensen (2021) <doi:10.1002/qre.2802>).
The Bayesian Mission Mean (BMM) is used to evaluate a question
of interest (that is, a mean that randomly selects combination of factor levels
based on their probability of occurring instead of averaging over the factor
levels, as in the grand mean). Under this construct, in contrast to a Gibbs
sampler (or Metropolis-within-Gibbs sampler), a two-stage sampling method is
required. The nested sampler determines the conditional posterior distribution
of the model parameters, given Y, and the outside sampler determines the marginal
posterior distribution of Y (also commonly called the predictive distribution for Y).
This approach provides a sample from the joint posterior distribution of Y and
the model parameters, while also accounting for the threshold value that must be
obtained in order for the question of interest to be evaluated as successful.

Victoria Sieck

ContRespPP

Predictive Probability for a Continuous Response with an ANOVA
Structure

Joshua Clifford

Fletcher Christensen

exData function

A matrix with 80 rows and 14 columns:<dl>
<dt>Column 1</dt>
<dd>Continuous Response Variable</dd><dt>Columns 2-14</dt>
<dd>Design Matrix</dd>
</dl>

Format

Example Continuous Response ANOVA Dataset. — exData

A matrix with 80 rows and 14 columns:<dl>
<dt>Column 1</dt>
<dd>Continuous Response Variable</dd>

<dt>Columns 2-14</dt>
<dd>Design Matrix</dd>


</dl>

exData: Example Continuous Response ANOVA Dataset.

Description

Usage

Arguments

Format

Details