ei.reg {eiPack} | R Documentation |
Ecological regression
Description
Estimate an ecological regression using least squares.
Usage
ei.reg(formula, data, ...)
Arguments
formula |
An R formula object of the form |
data |
data frame containing the variables specified in |
... |
Additional arguments passed to |
Details
For , C regressions of the form
c_i ~ cbind(r1, r2, ...)
are performed.
These regressions make use of the accounting identities
and the constancy assumption, that for all
.
The accounting identities include
–defining the population cell fractions
such that
for every
–
for
and
–
for
and
Then regressing
for
recovers the population parameters
when the
standard linear regression assumptions apply, including
and
for
all
.
Value
A list containing
call |
the call to |
coefficients |
an |
se |
an |
cov.matrices |
A list of the |
Author(s)
Olivia Lau <olivia.lau@post.harvard.edu> and Ryan T. Moore <rtm@american.edu>
References
Leo Goodman. 1953. “Ecological Regressions and the Behavior of Individuals.” American Sociological Review 18:663–664.