# Partial and semi-partial measures of spatial associations for multivariate lattice data

## TL;DR

This paper introduces new partial and semi-partial measures for assessing spatial associations in multivariate lattice data, enabling analysis of component relationships conditioned on others, demonstrated with crime data.

## Contribution

It develops novel measures of spatial association for multivariate lattice data, advancing the analysis of component relationships conditioned on remaining variables.

## Key findings

- New measures effectively capture spatial associations
- Application to crime data illustrates practical utility
- Enhances understanding of multivariate spatial relationships

## Abstract

This paper concerns the development of partial and semi-partial measures of spatial associations in the context of multivariate spatial lattice data which describe global or local associations among spatially aggregated measurements for pairs of different components conditional on all remaining components. The new measures are illustrated using aggregated data on crime counts at ward level.