R×CEcological Inference: Bounds, Correlations, Flexibility and Transparency of Assumptions
针对美国投票权诉讼等场景中常见的多行多列表格，提出一种计数型R×C生态推断方法，该方法尊重确定性边界、允许内部单元格间的复杂关系、易于扩展且假设透明。
Summary Despite its potential pitfalls, ecological inference is an unavoidable part of some quantitative settings, including US voting rights litigation. In such applications, the analyst will typically encounter two-way tables with more than two rows and columns. Although several ecological inference methods are currently available for 2×2 tables, there are fewer options for analysing general R×C tables, and virtually none that model counts as opposed to fractions. We propose a count R×C method that respects the bounds deterministically, that allows for complex relationships between internal cell quantities, that is easily extensible and that results from transparent assumptions. We study the method via simulation, and then apply it to an example that is drawn from the state of Texas relevant to recent redistricting litigation there.