# loglinear analysis

- A statistical technique for analysing relationships within contingency tables . Cross-classified tables of data are very common in sociology-for example cross-tabulations of political preference by sex, educational attainment by social class, and so forth. Conventionally these tables are analysed by looking at departures from statistical independence by using the Χ
^{2}test. This principle of independence can be written as:lognn_{ij}= logn_{i}+ logn_{j}- logn(hence involving the*log*arithms of the data combined in an additive or*linear*composition). This makes the analysis simpler, more akin to analysis of variance (see variation, statistical ), and more easily generalizable to three or more variables. It also allows interaction effects to be studied; that is, the effect which both*i*and*j*together have, over and above the effect of*i*and the effect of*j*.Loglinear analysis begins with a (definitionally true but trivial) ‘saturated’ model, where all possible direct and interaction effects are specified. Simpler models are then examined which leave out some of these effects (on the basis of theory or hunch) to*see*whether good fits to the data can be obtained with fewer effects (that is, with a more parsimonious model), and in this way the researcher may infer what variables are most important and what the pattern of effect actually is in the data. It is a very flexible multivariate procedure, best adapted to analysing attributes (variables at the nominal level of measurement ), and is only feasible using computer programs.Nigel Gilbert's*Modelling Society*(1981) and David Knoke and Peter J. Burke's*Log Linear Models*(1980) are both excellent introductions to topic. For substantive examples, and an explanation of how to read and interpret the various models, see,*Against the Odds?*(1997). See also multivariate analysis ; mobility, social.

*Dictionary of sociology.
2013.*

### Look at other dictionaries:

**loglinear**— analysis … Dictionary of sociology**loglinear analyses**— loglinear analysis … Dictionary of sociology**Data analysis**— Analysis of data is a process of inspecting, cleaning, transforming, and modeling data with the goal of highlighting useful information, suggesting conclusions, and supporting decision making. Data analysis has multiple facets and approaches,… … Wikipedia**multivariate analysis**— Univariate analysis consists in describing and explaining the variation in a single variable. Bivariate analysis does the same for two variables taken together (covariation). Multivariate analysis (MVA) considers the simultaneous effects of many… … Dictionary of sociology**contingency table**— Contingency tables, often referred to as cross classifications or cross tabulations, are tables of counts which describe and analyse the relationship between two or more variables in a data set. They contain row variables across the horizontal… … Dictionary of sociology**Lazarsfeld, Paul F.**— (1901 76) An Austrian born sociologist who founded the Bureau of Applied Social Research at Columbia University. He was a leading authority on American popular culture , voting behaviour , and the influence of the mass media upon society. Among… … Dictionary of sociology**Michael Friendly**— Michael Lewis Friendly (born 1945) is a Professor of Psychology at York University in Ontario, Canada, and an Associate Coordinator with the Statistical Consulting Service. Contents 1 Biography 2 Work 3 See also 4 … Wikipedia**statistics**— See cluster analysis ; contingency table ; dissimilarity, index of ; Gini coefficient ; hazard model ; inferential statistics ; logistic (or logit) regression ; loglinear analysis ; Lorenz curve ; measurement ; … Dictionary of sociology**АНАЛИЗ ЛОГЛИНЕЙНЫЙ**— (англ loglinear analysis) – метод статистики математической (см.) для изучения многомерных таблиц сопряженности. А.л. позволяет статистически проверять гипотезу о системе одновременно имеющих место парных и множественных взаимосвязей в группе… … Российская социологическая энциклопедия**mobility, social**— The movement usually of individuals but sometimes of whole groups between different positions within the system of social stratification in any society. It is conventional to distinguish upward and downward mobility (that is, movement up or down… … Dictionary of sociology