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在映射算法的选择中,特定国家的偏好权重是否重要?将糖尿病-39 映射到八个特定国家的 EQ-5D-5L 值集中的情况。

Do country-specific preference weights matter in the choice of mapping algorithms? The case of mapping the Diabetes-39 onto eight country-specific EQ-5D-5L value sets.

机构信息

Department of Community Medicine, University of Tromsø, Tromsø, Norway.

Centre for Health Economics, Monash Business School, Monash University, Melbourne, Australia.

出版信息

Qual Life Res. 2018 Jul;27(7):1801-1814. doi: 10.1007/s11136-018-1840-5. Epub 2018 Mar 22.

Abstract

PURPOSE

To develop mapping algorithms that transform Diabetes-39 (D-39) scores onto EQ-5D-5L utility values for each of eight recently published country-specific EQ-5D-5L value sets, and to compare mapping functions across the EQ-5D-5L value sets.

METHODS

Data include 924 individuals with self-reported diabetes from six countries. The D-39 dimensions, age and gender were used as potential predictors for EQ-5D-5L utilities, which were scored using value sets from eight countries (England, Netherland, Spain, Canada, Uruguay, China, Japan and Korea). Ordinary least squares, generalised linear model, beta binomial regression, fractional regression, MM estimation and censored least absolute deviation were used to estimate the mapping algorithms. The optimal algorithm for each country-specific value set was primarily selected based on normalised root mean square error (NRMSE), normalised mean absolute error (NMAE) and adjusted-r. Cross-validation with fivefold approach was conducted to test the generalizability of each model.

RESULTS

The fractional regression model with loglog as a link function consistently performed best in all country-specific value sets. For instance, the NRMSE (0.1282) and NMAE (0.0914) were the lowest, while adjusted-r was the highest (52.5%) when the English value set was considered. Among D-39 dimensions, the energy and mobility was the only one that was consistently significant for all models.

CONCLUSIONS

The D-39 can be mapped onto the EQ-5D-5L utilities with good predictive accuracy. The fractional regression model, which is appropriate for handling bounded outcomes, outperformed other candidate methods in all country-specific value sets. However, the regression coefficients differed reflecting preference heterogeneity across countries.

摘要

目的

开发将 Diabetes-39(D-39)评分转换为最近发布的八个特定国家 EQ-5D-5L 值集的 EQ-5D-5L 效用值的映射算法,并比较 EQ-5D-5L 值集中的映射函数。

方法

数据包括来自六个国家的 924 名自我报告患有糖尿病的个体。D-39 维度、年龄和性别被用作 EQ-5D-5L 效用的潜在预测因子,这些效用使用来自八个国家(英国、荷兰、西班牙、加拿大、乌拉圭、中国、日本和韩国)的价值集进行评分。使用普通最小二乘法、广义线性模型、β二项式回归、分数回归、MM 估计和截尾最小绝对偏差来估计映射算法。根据归一化均方根误差 (NRMSE)、归一化平均绝对误差 (NMAE) 和调整后的 r,主要选择每个特定国家值集的最佳算法。使用五倍交叉验证来测试每个模型的泛化能力。

结果

在所有特定国家的价值集中,对数对数作为链接函数的分数回归模型始终表现最佳。例如,当考虑英国价值集时,NRMSE(0.1282)和 NMAE(0.0914)最低,而调整后的 r 最高(52.5%)。在 D-39 维度中,能量和移动性是所有模型中唯一始终具有重要意义的维度。

结论

D-39 可以很好地预测 EQ-5D-5L 效用值。分数回归模型适用于处理有界结果,在所有特定国家的价值集中均优于其他候选方法。然而,回归系数因国家间偏好异质性而有所不同。

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