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The Loosemore–Hanby index measures disproportionality of electoral systems, how much the principle of one person, one vote is violated. It computes the absolute difference between votes cast and seats obtained using the formula: , where is the vote share and the seat share of partysuch that ,and is the overall number of parties. The LH index is related to the Schutz index of inequality, which is defined as .

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  • Der Loosemore–Hanby Index (auch LH-Index genannt) misst die Disproportionalität des Wahlsystems, wie stark das Prinzip der Wahlgleichheit verletzt wird. Es berechnet die absolute Differenz zwischen abgegebenen Stimmen und erhaltenen Sitzen unter Verwendung der Formel: , wo der Stimmenanteil und der Sitzanteil der Parteiist, so dass . Die Zahl ist die Gesamtzahl der Parteien. Der Index ist nach John Loosemore und Victor J. Hanby benannt, der die Formel erstmals 1971 in einem Artikel mit dem englischen Titel „The Theoretical Limits of Maximum Distortion: Some Analytic Expressions for Electoral Systems“ veröffentlichte. Eine Alternative ist der verwandte Gallagher-Index. Die Gegenstück zum LH-Index ist die Parteigesamtrepräsentativität. (de)
  • The Loosemore–Hanby index measures disproportionality of electoral systems, how much the principle of one person, one vote is violated. It computes the absolute difference between votes cast and seats obtained using the formula: , where is the vote share and the seat share of partysuch that ,and is the overall number of parties. This index is minimized by the largest remainder (LR) method with the Hare quota. Any apportionment method that minimizes it will always apportion identically to LR-Hare. Other methods, including the widely used divisor methods such as the Webster/Sainte-Laguë method or the D'Hondt method minimize the Sainte-Laguë index instead. The index is named after John Loosemore and Victor J. Hanby, who first published the formula in 1971 in a paper entitled "The Theoretical Limits of Maximum Distortion: Some Analytic Expressions for Electoral Systems". Along with Douglas W. Rae's, the formula is one of the two most cited disproportionality indices.Whereas the Rae index measures the average deviation, the Loosemore–Hanby index measures the total deviation. Michael Gallagher used least squares to develop the Gallagher index, which takes a middle ground between the Rae and Loosemore–Hanby indices. The LH index is related to the Schutz index of inequality, which is defined as where is the expected share of individual and her allocated share. Under the LH index, parties take the place of individuals, vote shares replace expectation shares, and seat shares allocation shares. The LH index is also related to the dissimilarity index of segregation. All three indexes are special cases of the more general index of dissimilarity. The LH index is related to the amount of unrepresented vote, which only measures the difference between votes cast and seats obtained for parties which did not obtain any seats. The complement of the LH index is called Party Total Representativity, also called Rose index R. The Rose index is typically expressed in % and can be calculated by subtracting the LH index from 1: . (en)
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  • Der Loosemore–Hanby Index (auch LH-Index genannt) misst die Disproportionalität des Wahlsystems, wie stark das Prinzip der Wahlgleichheit verletzt wird. Es berechnet die absolute Differenz zwischen abgegebenen Stimmen und erhaltenen Sitzen unter Verwendung der Formel: , wo der Stimmenanteil und der Sitzanteil der Parteiist, so dass . Die Zahl ist die Gesamtzahl der Parteien. (de)
  • The Loosemore–Hanby index measures disproportionality of electoral systems, how much the principle of one person, one vote is violated. It computes the absolute difference between votes cast and seats obtained using the formula: , where is the vote share and the seat share of partysuch that ,and is the overall number of parties. The LH index is related to the Schutz index of inequality, which is defined as . (en)
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  • Loosemore-Hanby-Index (de)
  • Loosemore–Hanby index (en)
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