TY - JOUR

T1 - Can a linear combination model be scientific explanation? Integration of mathematical sociology and empirical social research in class identification study

AU - Hamada, Hiroshi

PY - 2012

Y1 - 2012

N2 - A linear combination model of explanatory variables such as a multiple regression analysis is often used as the simplest approximation of true relation between explanatory and response variable. This paper shows that a linear combination model can be logically derived from the models of mathematical sociology that consist of sociological assumptions and attempts to give a linear combination model theoretical ground. We show that a linear combination model can be an explanatory model rather than just a curve-fitting model. In the context of studies of class identification, we show that the Farao-Kosaka model and the inherited status model can be a theoretical ground for a linear combination model of class identification and clarify the condition that is needed for an integrated development of mathematical sociology and sociometrics in the field of social stratification.

AB - A linear combination model of explanatory variables such as a multiple regression analysis is often used as the simplest approximation of true relation between explanatory and response variable. This paper shows that a linear combination model can be logically derived from the models of mathematical sociology that consist of sociological assumptions and attempts to give a linear combination model theoretical ground. We show that a linear combination model can be an explanatory model rather than just a curve-fitting model. In the context of studies of class identification, we show that the Farao-Kosaka model and the inherited status model can be a theoretical ground for a linear combination model of class identification and clarify the condition that is needed for an integrated development of mathematical sociology and sociometrics in the field of social stratification.

KW - Class identification

KW - Fararo-Kosaka model

KW - Inherited status model

KW - Linear combination model

UR - http://www.scopus.com/inward/record.url?scp=84890093116&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84890093116&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84890093116

SN - 0913-1442

VL - 27

SP - 259

EP - 276

JO - Sociological Theory and Methods

JF - Sociological Theory and Methods

IS - 2

ER -