Abstract Theoretical units of interest often do not align with the spatial units at which data are available. This problem is pervasive in political science, particularly in subnational empirical research that requires integrating data across incompatible geographic units (e.g., administrative areas, electoral constituencies, and grid cells). Overcoming this challenge requires researchers not only to align the scale of empirical and theoretical units, but also to understand the consequences of this change of support for measurement error and statistical inference. We show how the accuracy of transformed values and the estimation of regression coefficients depend on the degree of nesting (i.e., whether units fall completely and neatly inside each other) and on the relative scale of source and destination units (i.e., aggregation, disaggregation, and hybrid). We introduce simple, nonparametric measures of relative nesting and scale, asex anteindicators of spatial transformation complexity and error susceptibility. Using election data and Monte Carlo simulations, we show that these measures are strongly predictive of transformation quality across multiple change-of-support methods. We propose several validation procedures and provide open-source software to make transformation options more accessible, customizable, and intuitive.
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This content will become publicly available on December 11, 2025
Ligand cross-links as a design element in oligo- and polyMOFs
Oligo- and polyMOFs based on DMOF-1 adopt distinct isomeric structures governed by the flexibility, length, and number of repeat units of tethering groups between terephthalate units.
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- Award ID(s):
- 2011924
- PAR ID:
- 10589222
- Publisher / Repository:
- RSC
- Date Published:
- Journal Name:
- Chemical Science
- Volume:
- 15
- Issue:
- 48
- ISSN:
- 2041-6520
- Page Range / eLocation ID:
- 20448 to 20456
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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