chat_pois

a vector of lambda (&gt; 0) constants for the Poisson variables (see <code><a rd-options="stats" href="/link/Poisson?package=SimMultiCorrData&version=0.2.2&to=stats" data-mini-rdoc="stats::Poisson">Poisson</a></code>)

the number of uniform random numbers to generate in calculating the bound (default = 10000)

n_unif

the seed used in random number generation (default = 1234)

seed

This function calculates the upper Frechet-Hoeffding bound on the correlation between a Poisson variable
 and the normal variable used to generate it. It is used in <code><a rd-options="SimMultiCorrData" href="/link/findintercorr_cat_pois?package=SimMultiCorrData&version=0.2.2&to=SimMultiCorrData" data-mini-rdoc="SimMultiCorrData::findintercorr_cat_pois">findintercorr_cat_pois</a></code>
 and <code><a rd-options="SimMultiCorrData" href="/link/findintercorr_cont_pois?package=SimMultiCorrData&version=0.2.2&to=SimMultiCorrData" data-mini-rdoc="SimMultiCorrData::findintercorr_cont_pois">findintercorr_cont_pois</a></code> in calculating the intermediate MVN correlations. This uses
 the method of Amatya &amp; Demirtas (2015, 10.1080/00949655.2014.953534). This function would not ordinarily be called directly by the user.

correlation

method

poisson

Generate continuous (normal or non-normal), binary, ordinal, and count (Poisson or Negative
Binomial) variables with a specified correlation matrix. It can also produce a single continuous
variable. This package can be used to simulate data sets that mimic real-world situations (i.e.
clinical or genetic data sets, plasmodes). All variables are generated from standard normal
variables with an imposed intermediate correlation matrix. Continuous variables are simulated
by specifying mean, variance, skewness, standardized kurtosis, and fifth and sixth standardized
cumulants using either Fleishman's third-order (<DOI:10.1007/BF02293811>) or Headrick's
fifth-order (<DOI:10.1016/S0167-9473(02)00072-5>) polynomial transformation. Binary and
ordinal variables are simulated using a modification of the ordsample() function from 'GenOrd'.
Count variables are simulated using the inverse cdf method. There are two simulation pathways
which differ primarily according to the calculation of the intermediate correlation matrix. In
Correlation Method 1, the intercorrelations involving count variables are determined using a
simulation based, logarithmic correlation correction (adapting Yahav and Shmueli's 2012 method,
<DOI:10.1002/asmb.901>). In Correlation Method 2, the count variables are treated as ordinal
(adapting Barbiero and Ferrari's 2015 modification of GenOrd, <DOI:10.1002/asmb.2072>).
There is an optional error loop that corrects the final correlation matrix to be within a
user-specified precision value of the target matrix. The package also includes functions to
calculate standardized cumulants for theoretical distributions or from real data sets, check
if a target correlation matrix is within the possible correlation bounds (given the distributions
of the simulated variables), summarize results (numerically or graphically), to verify valid power
method pdfs, and to calculate lower standardized kurtosis bounds.

Allison Fialkowski

SimMultiCorrData

Simulation of Correlated Data with Multiple Variable Types

chat_pois function

a vector of lambda (&gt; 0) constants for the Poisson variables (see <code><a rd-options='stats' href='Poisson'>Poisson</a></code>)

This function calculates the upper Frechet-Hoeffding bound on the correlation between a Poisson variable
 and the normal variable used to generate it. It is used in <code><a rd-options='SimMultiCorrData' href='findintercorr_cat_pois'>findintercorr_cat_pois</a></code>
 and <code><a rd-options='SimMultiCorrData' href='findintercorr_cont_pois'>findintercorr_cont_pois</a></code> in calculating the intermediate MVN correlations. This uses
 the method of Amatya &amp; Demirtas (2015, 10.1080/00949655.2014.953534). This function would not ordinarily be called directly by the user.

chat_pois: Calculate Upper Frechet-Hoeffding Correlation Bound: Poisson - Normal Variables

Description

Usage

Arguments

Value

References

See Also