Qfun

<code>Qfun</code> returns the complete log-likelihood that is used to calculate
the fraction of missing information.

models

Implements the Bayesian and likelihood methods proposed
in Imai, Lu, and Strauss (2008 <DOI: 10.1093/pan/mpm017>) and
(2011 <DOI:10.18637/jss.v042.i05>) for ecological inference in 2
by 2 tables as well as the method of bounds introduced by Duncan and
Davis (1953). The package fits both parametric and nonparametric
models using either the Expectation-Maximization algorithms (for
likelihood models) or the Markov chain Monte Carlo algorithms (for
Bayesian models). For all models, the individual-level data can be
directly incorporated into the estimation whenever such data are available.
Along with in-sample and out-of-sample predictions, the package also
provides a functionality which allows one to quantify the effect of data
aggregation on parameter estimation and hypothesis testing under the
parametric likelihood models.

Ying Lu

Ecological Inference in 2x2 Tables

Kosuke Imai

Aaron Strauss

Hubert Jin

Qfun function

<dl><dt>theta</dt>
<dd>A vector that contains the MLE \(E(W_1)\),\(E(W_2)\),
\(var(W_1)\),\(var(W_2)\), and \(cov(W_1,W_2)\). Typically it is the
element <code>theta.em</code> of an object of class <code>ecoML</code>.</dd>
<dt>suff.stat</dt>
<dd>A vector of sufficient statistics of \(E(W_1)\),
\(E(W_2)\), \(var(W_1)\),\(var(W_2)\), and \(cov(W_1,W_2)\).</dd>
<dt>n</dt>
<dd>A integer representing the sample size.</dd></dl>

Arguments

Fitting the Parametric Bayesian Model of Ecological Inference in 2x2 Tables — Qfun

<dl>

<dt>theta</dt>
<dd>A vector that contains the MLE \(E(W_1)\),\(E(W_2)\),
\(var(W_1)\),\(var(W_2)\), and \(cov(W_1,W_2)\). Typically it is the
element <code>theta.em</code> of an object of class <code>ecoML</code>.</dd>


<dt>suff.stat</dt>
<dd>A vector of sufficient statistics of \(E(W_1)\),
\(E(W_2)\), \(var(W_1)\),\(var(W_2)\), and \(cov(W_1,W_2)\).</dd>


<dt>n</dt>
<dd>A integer representing the sample size.</dd>

</dl>

Qfun: Fitting the Parametric Bayesian Model of Ecological Inference in 2x2 Tables

Description

Usage

Arguments

References

See Also