## Abstract

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.

Original language | English |
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Pages (from-to) | 259-276 |

Number of pages | 18 |

Journal | Sociological Theory and Methods |

Volume | 27 |

Issue number | 2 |

Publication status | Published - 2012 Dec 1 |

## Keywords

- Class identification
- Fararo-Kosaka model
- Inherited status model
- Linear combination model

## ASJC Scopus subject areas

- Social Sciences (miscellaneous)
- Sociology and Political Science