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Use of power-law analysis to predict abuse or diversion of prescribed medications: proof-of-concept mathematical exploration.


ABSTRACT: To conduct a proof-of-concept study comparing Lorenz-curve analysis (LCA) with power-law (exponential function) analysis (PLA), by applying segmented regression modeling to 1-year prescription claims data for three medications-alprazolam, opioids, and gabapentin-to predict abuse and/or diversion using power-law zone (PLZ) classification.In 1-year baseline observation, patients classified into the top PLZ groups (PLGs) were demographically and diagnostically similar to those in Lorenz-1 (top 1% of utilizers) and Lorenz-25 (top 25%). For prediction of follow-up (6-month post-baseline) Lorenz-1 use of alprazolam and opioids (i.e., potential abuse/diversion), PLA had somewhat lower sensitivity compared with LCA (83.5-95.4% vs. 99.5-99.9%, respectively) but better specificity (98.2-98.8% vs. 75.5%) and much better positive predictive value (PPV; 34.5-45.3% vs. 4.0-4.6%). Of top-PLG alprazolam- and opioid-treated patients, respectively, 20.7 and 9.9% developed incident (new) Lorenz-1 in followup, compared with?

SUBMITTER: Fairman KA 

PROVIDER: S-EPMC6069871 | biostudies-other | 2018 Jul

REPOSITORIES: biostudies-other

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Use of power-law analysis to predict abuse or diversion of prescribed medications: proof-of-concept mathematical exploration.

Fairman Kathleen A KA   Peckham Alyssa M AM   Rucker Michael L ML   Rucker Jonah H JH   Sclar David A DA  

BMC research notes 20180731 1


<h4>Objective</h4>To conduct a proof-of-concept study comparing Lorenz-curve analysis (LCA) with power-law (exponential function) analysis (PLA), by applying segmented regression modeling to 1-year prescription claims data for three medications-alprazolam, opioids, and gabapentin-to predict abuse and/or diversion using power-law zone (PLZ) classification.<h4>Results</h4>In 1-year baseline observation, patients classified into the top PLZ groups (PLGs) were demographically and diagnostically simi  ...[more]

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