Page 59 - Contributed Paper Session (CPS) - Volume 8
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CPS2184 M Lutfor Rahman
            which is one of the ten leading infectious diseases causes deaths of 1.3 million
            people around the globe in 2016. It is imperative to identify the leading factors
            responsible for spreading the TB infection as well as to quantify the likelihood
            of  normal  individuals  being  infected  in  a  natural  environment,  particularly
            taking into account the TB networks.
                Binary logistic regression assumes independency between observations.
            When there is nonindependence in the data, namely due to the presence of a
            hierarchical structure, logistic mixed models should be used to model binary
            outcomes  (Mendes  2013).  Is  relatively  frequent,  but  not  theoretically
            adequate, the use of binary logistic regression even if in the presence of a
            hierarchical structure. Mendes (2013) used logistic model for interpreting TB
            data and to relate TB infection with the risk factors, but their model does not
            consider the dependency structure of the data.
                Additionally, a more challenging structure can be presented, considering
            not  only  a  non-independency  between  observations  but  also  the  index-
            contact network relationship. In this case, a more complex statistical approach
            but with lower methodological limitations could be based on network analysis,
            popularly known as social network analysis (SNA), rooted in the mathematical
            graph theory. The SNA has established itself as a powerful tool for studying
            structure and complex dynamics of systems (Lusseau et.al. 2008). It has been
            employed  across  the  disciplines  prominently  in  studies  of  transportation
            systems (Sen et.al. 2013), infectious disease spread Rothenberg et al. 1995;
            PastorSatorras et.al. 2001; Bell et.al. 1999; Cook et al. 2007; computer viruses
            through  the  internet  (Newman,  2002),  animal  behaviour  (Wey,  2019);
            leadership  evaluation  (Hoppe  et.al.  2010).  The  methodological  and
            performance of networks tools evaluation have been reported by Freeman
            (1978); Brandes (2001); and Butts (2008). Further, social network analysis has
            extensively been reviewed by Wasserman and Faust (1994); Martínez-López et
            al.  (2009).  This  study  aims  to  model  transmission  network  of  an  infectious
            disease  (event  under  analyses  -  infection),  particularly  considering  the
            casestudy of Tuberculosis (TB) network in Portugal. Three levels of risk factors
            were considered: index patients, contacts and characteristics of exposure. In
            methodological terms, three different models were used and the results were
            compared.

            2.  Methodology
                The main interest in this study was to model the binary response (infected
            or not infected). Three levels of risk factors were considered: index-patients,
            contacts and characteristics of exposure: 1) index-patients: biologic products
            (Bronchoalveolar  lavage,  Sputum),  chest  radiography  (Without  cavitation,
            Cavitation),  symptomatic  period  (in  days);  2)  contacts:  age  (years),  sex
            (Male/Female), diabetes (Yes/No),  Chronic renal failure (Yes/No);  3) exposure:

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