Coherent Identifier About this item: 20.500.12592/7md5vq

A Novel Health Metric Based on Biomarkers /

2017

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Summary

In section 2 we introduce the health measure; in section 3 we validate versions of the health measure through the link with self-reported health which is another commonly used measure of general health; in section 4 we illustrate the health measure in two applications; nally we conclude in section 5. 2. Health metric 2.1. [...] Mahalanobis explained the distance in parallels with the Galilean transformation, a standard method in physics that maps all coordinates into a frame of reference and thus ensures comparability between the objects; and indeed the distance is a composition of the Euclidean distance and the trans- formation T (x). [...] Additionally, the Mahalanobis distance can become unreliable when the scales of the variables di¤er; we thus standardize each biomarker with respect to the mean and standard deviation of the reference group. [...] We validate this by varying the number of biomarkers included in the calculation of DM : in each di¤erent case we validate the signal of health through the link of DM with self-reported health. [...] Hence the standardization in the de nition of HO i in (3.1) is necessary because the scale of DM changes with the number of biomarkers included.

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health economics science and technology research obesity mathematics social sciences statistics survey body mass index odds ratio distance mean logit model normal distribution probability distribution covariance variance logarithm logistic regressions mahalanobis distance multivariate normal distribution survey of health, ageing and retirement in europe ratio scale

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