We introduce the bottom-up tree-to-graph transducer, which is very similar to the usual (total deterministic) bottom-up tree transducer except that it translates trees into hypergraphs rather than trees, using hypergraph substitution instead of tree substitution. If every output hypergraph of the tr
Equivalence of two healthcare costing methods: bottom-up and top-down
β Scribed by Michael K. Chapko; Chuan-Fen Liu; Mark Perkins; Yu-Fang Li; John C. Fortney; Matthew L. Maciejewski
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 230 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1057-9230
- DOI
- 10.1002/hec.1422
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper compares two quite different approaches to estimating costs: a 'bottom-up' approach, represented by the US Department of Veterans Affairs' (VA) Decision Support System that uses local costs of specific inputs; and a 'top-down' approach, represented by the costing system created by the VA Health Economics Resource Center, which assigns the VA national healthcare budget to specific products using various weighting systems. Total annual costs per patient plus the cost for specific services (e.g. clinic visit, radiograph, laboratory, inpatient admission) were compared using scatterplots, correlations, mean difference, and standard deviation of individual differences. Analysis are based upon 2001 costs for 14 915 patients at 72 facilities. Correlations ranged from 0.24 for the cost of outpatient encounters to 0.77 for the cost of inpatient admissions, and 0.85 for total annual cost. The mean difference between costing methods was $707 ($4168 versus $3461) for total annual cost. The standard deviation of the individual differences was $5934. Overall, the agreement between the two costing systems varied by the specific cost being measured and increased with aggregation. Administrators and researchers conducting cost analyses need to carefully consider the purpose, methods, characteristics, strengths, and weaknesses when selecting a method for assessing cost.
π SIMILAR VOLUMES
Knuth proposed to compare his method and those of Luce for studying strongly connected digraphs. Changing Knuth's notation slightly we construct a set of strongly connected digraphs which is equal to the set of the compound circuits defined by Luce. (Let us recall that Luce proved that a minimal str