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Participation and Democracy: Dynamics, Causes ... - Jacobs University

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that someone will participate in elite-challenging activities. These odds (or chances) are<br />

defined as P/(1-P), i.e. the probability (that someone participates, so ‘an event will<br />

occur’) divided by one minus the probability (that someone does not participate, so ‘an<br />

event will not occur’). The β 0i coefficient is the individual-level intercept, the other beta<br />

coefficients in the model are the individual-level effects (slopes). Finally, r ij represents<br />

the error term in this model.<br />

The main goal of a multilevel analysis is “to account for variance in a dependent variable<br />

that is measured at the lowest level of analysis by considering information from all levels<br />

of analysis” (Steenbergen <strong>and</strong> Jones 2002: 219). The information from the subordinate<br />

level, the societal level, is taken into account in the next two steps. Here, it is assumed<br />

that level-2 variables can have direct effects (Model 2) but may also mediate the effects<br />

of level-1 predictors (Model 3).<br />

In the second step of analyzing multilevel data, level-2 variables are introduced to<br />

estimate their independent effects on the individual-level intercept β 0j . In Model 2, the<br />

level-2 variables are (1) Voice <strong>and</strong> Accountability, (2) <strong>Democracy</strong> Stock, (3) GDP per<br />

capita, (4) Tertiarization, (5) Inequality, (6) Happiness level, <strong>and</strong> (7) Parliamentary<br />

system. The variable Electoral system (Proportional system) was excluded from analysis,<br />

as the predictor did not have a significant effect on the level of elite-challenging<br />

participation (see T-test in Table 8-3a) <strong>and</strong> was insignificant even when introduced as the<br />

only predictor for individual-level participation in the multilevel model. The model for<br />

the context factors looks as follows:<br />

Model 2:<br />

β 0j = γ 00 + γ 01 (Voice <strong>and</strong> Accountability j ) + γ 02 (<strong>Democracy</strong> Stock j ) +<br />

γ 03 (GDP per capita j ) + γ 04 (Tertiarization j ) + γ 05 (Inequality j ) + γ 06 (Happiness level j) +<br />

γ 07 (Parliamentary system j ) + u ij .<br />

In the equation, γ 00 is the societal level intercept, the other γ coefficients are level-2<br />

effects on the level-1 intercept β 0j . The level-2 error term is summarized in u ij .<br />

With eight individual-level <strong>and</strong> seven context factors, the problem of multicollinearity<br />

must be addressed before we begin with the statistical analysis. Multicollinearity is a<br />

156

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