bounds: Deterministic bounds for units satisfying row thresholds
In eiPack: Ecological Inference and Higher-Dimension Data Management

bounds

R Documentation

Deterministic bounds for units satisfying row thresholds

Calculates the deterministic bounds on the proportion of row members within a specified column.

bounds(formula, data, rows, column, excluded = NULL, 
    threshold = 0.9, total = NULL)

`formula`	a formula of the form `cbind(col1, col2, ...) ~ cbind(row1, row2, ...)`. Column and row marginals must have the same total for each ecological unit.
`data`	a data frame containing the variables specified in `formula` and (optionally) `total`
`rows`	a character vector specifying the rows of interest
`column`	a character string specifying the column marginal of interest
`excluded`	an optional character string (or vector of character strings) specifying the columns to be excluded from the bounds calculation. For example, if the quantity of interest is Democratic share of the two-party vote, non-voters would be excluded.
`threshold`	the minimum proportion of the unit that row members must comprise for the bounds to be calculated for the unit. If `threshold = 0`, bounds will be calculated for all units.
`total`	if row and/or column marginals are given as proportions, `total` identifies the name of the variable in `data` containing the total number of individuals in each unit

A list with elements

`bounds`	a list of deterministic bounds for all units in which row proportions meet the threshold
`intersection`	if the intersection of the deterministic bounding intervals is non-empty, the intersection is returned. Otherwise, `NA` is returned.

Otis Dudley Duncan and Beverley Davis. 1953. “An Alternative to Ecological Correlation.” American Sociological Review 18: 665-666.