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Ecological Systems and Devices

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Regression Models in Medico-Ecological Monitoring: an Algorithm for Taking Into Account Correlations Between Predictors
Varaksin A.N.

Regression models in medico-ecological monitoring (for example, in problems of the relationship between population
morbidity Y and environmental pollution indicators X) may contain interrelated predictors characterizing health risks
(correlations between predictors X). The presence of correlations between predictors in regression models leads to diffi culties
in interpreting the results of regression modeling. Currently, there is no clear solution to the problem of correlated predictors
in regression models. The purpose of the study is to develop one of the possible algorithms for solving this problem.
The algorithm is implemented in two stages. At the fi rst stage, a regression model containing so-called “cross terms” is
constructed using conventional methods of regression analysis. Such a model allows, in principle, to calculate the effects of
some predictors X on the response Y for different values of other predictors, which is a prerequisite for taking into account
correlations between predictors. Such a model, however, does not contain specifi c indicators of the correlation of predictors,
for example, correlation coeffi cients between them, and does not allow correlations to be “automatically” taken into account
when analyzing modeling results. Therefore, at the second stage of implementing the algorithm, it is proposed to use either
explicit statistical relationships between predictors or moving average methods to explicitly take into account correlations
between predictors. The connection between the general morbidity of the population of St. Petersburg and atmospheric air
pollution with carbon monoxide and sulfur dioxide is considered in a specifi c example. This example shows the details of the
implementation of the algorithm for taking into account correlations between predictors. The results of the implementation
of the algorithm are compared with the results of existing approaches to the analysis of regression models, the advantages
of the new algorithm are shown.
Keywords: regression models, correlated predictors, cross terms, moving average, health risks, overall disease prevalence, air
pollution, carbon oxide, sulfur dioxide.


DOI: 10.25791/esip.1.2025.1495

Pp. 03-14.

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