15 research outputs found

    Concentration or representation : the struggle for popular sovereignty

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    There is a tension in the notion of popular sovereignty, and the notion of democracy associated with it, that is both older than our terms for these notions themselves and more fundamental than the apparently consensual way we tend to use them today. After a review of the competing conceptions of 'the people' that underlie two very different understandings of democracy, this article will defend what might be called a 'neo-Jacobin' commitment to popular sovereignty, understood as the formulation and imposition of a shared political will. A people's egalitarian capacity to concentrate both its collective intelligence and force, from this perspective, takes priority over concerns about how best to represent the full variety of positions and interests that differentiate and divide a community

    Concordance between power in logistic regression and slope of power curve given by equation 6.

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    <p>Proportion of scenarios in which observed change in power agreed with predicted slope of chi-square power. The observed change in power is calculated as the sign of the difference of the median likelihood ratio statistic at γca  = 0 and at γca  = 1. 160 parameter values were considered, a subset of the parameter space described in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0063481#pone-0063481-t001" target="_blank">table 1</a>. 500 realizations at γca  = 0 and at γca  = 1 of each combination were undertaken to find the median likelihood ratio statistics.</p

    Empirical power and asymptotic power.

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    <p>Comparison of empirical power (E) to asymptotic (A) for various <i>γ<sub>ca</sub></i> and <i>R</i> = 1 (solid line), <i>R</i> = 2 (dashed), <i>R</i> = 4 (dotted) at two loci that nominally replicate in the gold standard subset. Power is shown as 20<sup>th</sup> percentile of X<sup>2</sup> statistics over 1000 bootstrapped replicates for empirical graphs or as 20<sup>th</sup> percentile of the chi squared distribution for asymptotic graphs, with non-centrality determined from genotypic disease model given in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0063481#pone-0063481-t002" target="_blank">table 2</a>.</p
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