census

<p>This data set contains the proportion of the residents who are black, the
proportion of those who can read, the total population as well as the actual
black literacy rate and white literacy rate for 1040 counties in the US. The
dataset was originally analyzed by Robinson (1950) at the state level. King
(1997) recoded the 1910 census at county level. The data set only includes
those who are older than 10 years of age.</p>

datasets

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

census function

<p>A data frame containing 5 variables and 1040 observations</p><table class="table">
<tr><td>X</td><td>numeric</td><td>the proportion of Black residents in each
county</td></tr>
<tr><td>Y</td><td>numeric</td><td>the overall literacy rates in each county</td></tr>
<tr><td>N</td><td>numeric</td><td>the total number of residents in each county</td></tr>
<tr><td>W1</td><td>numeric</td><td>the actual Black literacy rate</td></tr>
<tr><td>W2</td><td>numeric</td><td>the
actual White literacy rate</td></tr>
</table><p></p><p></p>

Format

Black Illiteracy Rates in 1910 US Census — census

<p>A data frame containing 5 variables and 1040 observations</p><table class='table'>
<tr><td>X</td><td>numeric</td><td>the proportion of Black residents in each
county</td></tr>
<tr><td>Y</td><td>numeric</td><td>the overall literacy rates in each county</td></tr>
<tr><td>N</td><td>numeric</td><td>the total number of residents in each county</td></tr>
<tr><td>W1</td><td>numeric</td><td>the actual Black literacy rate</td></tr>
<tr><td>W2</td><td>numeric</td><td>the
actual White literacy rate</td></tr>
</table>



census: Black Illiteracy Rates in 1910 US Census

Description

Arguments

Format

References

X	numeric	the proportion of Black residents in each county
Y	numeric	the overall literacy rates in each county
N	numeric	the total number of residents in each county
W1	numeric	the actual Black literacy rate
W2	numeric	the actual White literacy rate