Weight links by their importance rather than counting them

A declarative marker for share_weights()'s multiplicity argument. It replaces the 0/1 link indicator with a non-negative quantity saying how much of a target unit each link accounts for: a subsidiary's share of an enterprise's assets, a child's share of time with each parent.

Usage

weighted_links(x, total)

Arguments

x

A single non-negative column of links holding the importance of each link.

total

The population total of that importance for each target unit: a column of targets, or complete_weighted_links() to assert that links is the complete population register.

Value

weighted_links() is only meaningful inside share_weights(multiplicity = ) and otherwise throws an error.

Details

Lavallee section 4.5 generalizes the method to any such quantity with no loss of theory, subject to Constraint 4.1: the total over each target cluster must be strictly positive.

The argument is not called theta. Lavallee uses that name for normalized link constants and survey::multiframe() uses it for an unrelated frame-compositing factor, and a workflow can involve both.

See also

Other weight sharing: complete_links(), complete_weighted_links(), extend_links(), share_weights()

Examples

# Used inside share_weights():
# share_weights(sample, targets, links, by, to, within = enterprise,
#               multiplicity = weighted_links(asset_share,
#                                             total = population_assets))