The Basic Two-Level Regression Model

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14:20:25:01:10Page 11Page 112The Basic Two-Level Regression ModelThe multilevel Regression Model has become known in the research literature under avariety of names, such as random coefficient Model (de Leeuw & Kreft, 1986; Long-ford, 1993), variance component Model (Longford, 1987), and hierarchical linearmodel (Raudenbush & Bryk, 1986, 1988). Statistically oriented publications tend torefer to the Model as a mixed-effects or mixed Model (Littell, Milliken, Stroup, &Wo lfinger, 1996). The models described in these publications are not exactly the same,but they are highly similar, and I will refer to them collectively as multilevel regressionmodels.

14:20:25:01:10 Page 12 Page 12 In this regression equation, 0j is the intercept, β 1jβ is the regression coefficient (regres- sion slope) for the dichotomous explanatory variable gender, 2j is the regression coef-βficient (slope) for the continuous explanatory variable extraversion, and

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