Department of Radiology, University of Washington, 325 Ninth Avenue, Seattle, WA 98104, USA.
J Am Coll Radiol. 2011 Aug;8(8):575-82. doi: 10.1016/j.jacr.2011.02.002.
The authors explain that negative binomial (NB) and zero-inflated NB (ZINB) distributions are probably the most commonly seen distributions of outcomes in radiology health services research. Using simulation data, the authors demonstrate the potential errors in adopting an inappropriate model in the analysis of count outcomes in this field of research.
A hypothetical database with 5,000 records was generated to evaluate the associations between the number of head CT studies (with Poisson, NB, and ZINB distributions) and age, gender, mechanism of injury, and injury severity. Linear, Poisson, NB, and ZINB regression models were used to analyze these hypothetical data.
For analysis of the number of head CT studies with an NB distribution, using linear regression resulted in biased estimates. Poisson regression resulted in artificially narrow confidence intervals. For the analyses of the number of head CT studies with a ZINB distribution, Poisson and NB regression models overestimated the association between the number of head CT studies and the predictors, while linear regression resulted in incorrect point estimates.
With substantial increases in health care costs and the upcoming health care overhaul, pressure on radiology health services research will increase. To provide valid estimates of the predictors of utilization pattern, researchers should adopt models that appropriately deal with the skewed count outcomes, or the results might be incorrect.
作者解释说,负二项(NB)和零膨胀负二项(ZINB)分布可能是放射科卫生服务研究中最常见的结果分布。作者使用模拟数据,演示了在分析该领域研究中的计数结果时采用不适当模型的潜在错误。
生成了一个具有 5000 条记录的假设数据库,以评估头部 CT 研究数量(具有泊松、NB 和 ZINB 分布)与年龄、性别、损伤机制和损伤严重程度之间的关联。使用线性、泊松、NB 和 ZINB 回归模型来分析这些假设数据。
对于具有 NB 分布的头部 CT 研究数量的分析,使用线性回归会导致有偏估计。泊松回归导致人为的置信区间变窄。对于 ZINB 分布的头部 CT 研究数量的分析,泊松和 NB 回归模型高估了头部 CT 研究数量与预测因子之间的关联,而线性回归导致了不正确的点估计。
随着医疗保健成本的大幅增加和即将进行的医疗保健改革,放射科卫生服务研究的压力将会增加。为了提供利用模式预测因子的有效估计,研究人员应采用适当处理偏态计数结果的模型,否则结果可能不正确。