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Sainte-Laguë Index
The Sainte-Laguë index (SLI) measures an election’s disproportionality, the adherence to the one person, one vote principle of equal representation. This index assumes if the fraction of voters matches the fraction of seats, then perfect proportionality is achieved. Equation for Sainte-Laguë index: : \mathrm = \sum_^n =\sum_^n , where V_i is fraction of votes and S_i is fraction of seats for each of the political parties. The first part of the equation illustrates the derivation of the equation as the squared difference to the ideal seats-to-votes ratio, then weighted equally for each voter. The larger the Sainte-Laguë index is, the larger the disproportionality and the smaller the Sainte-Laguë index is, the more proportional the election. Michael Gallagher stated that the Sainte-Laguë index (SLI) constructed from and minimized by the Sainte-Laguë method is "at the theoretical level is probably the soundest of all the measures." The Sainte-Laguë index is closely related ...
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Proportional Representation
Proportional representation (PR) refers to a type of electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to geographical (e.g. states, regions) and political divisions (political parties) of the electorate. The essence of such systems is that all votes cast - or almost all votes cast - contribute to the result and are actually used to help elect someone—not just a plurality, or a bare majority—and that the system produces mixed, balanced representation reflecting how votes are cast. "Proportional" electoral systems mean proportional to ''vote share'' and ''not'' proportional to population size. For example, the US House of Representatives has 435 districts which are drawn so roughly equal or "proportional" numbers of people live within each district, yet members of the House are elected in first-past-the-post elections: first-past-the-post is ''not'' proportional by vote share. The ...
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One Man, One Vote
"One man, one vote", or "one person, one vote", expresses the principle that individuals should have equal representation in voting. This slogan is used by advocates of political equality to refer to such electoral reforms as universal suffrage, proportional representation, and the elimination of plural voting, malapportionment, or gerrymandering. Indices The violation of equal representation in the various systems of proportional representation can be measured with the Loosemore–Hanby index, the Gallagher index or the amount of unrepresented vote. A Gallagher index above 5 (%) is seen by many experts as violating the ''One man, one vote'' principle. In case of plurality voting, the wasted vote can be measured. Additionally, the percentage of spoilt vote and percentage of disfranchisement can be measured to detect violations of the equal representation principle. History The phrase surged in english-language usage around 1880, thanks in part to British trade unionist Geo ...
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Political Parties
A political party is an organization that coordinates candidates to compete in a particular country's elections. It is common for the members of a party to hold similar ideas about politics, and parties may promote specific ideological or policy goals. Political parties have become a major part of the politics of almost every country, as modern party organizations developed and spread around the world over the last few centuries. It is extremely rare for a country to have no political parties. Some countries have only one political party while others have several. Parties are important in the politics of autocracies as well as democracies, though usually democracies have more political parties than autocracies. Autocracies often have a single party that governs the country, and some political scientists consider competition between two or more parties to be an essential part of democracy. Parties can develop from existing divisions in society, like the divisions between low ...
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Seats-to-votes Ratio
The Seats-to-votes ratio, also known as the advantage ratio, is a measure of equal representation of voters. The equation for seats-to-votes ratio for a political party ''i'' is: : \mathrm = S_i/V_i, where V_i is fraction of votes and S_i is fraction of seats. In the case both seats and votes are represented as fractions or percentages, then every voter has equal representation if the seats-to-votes ratio is 1. The principle of equal representation is expressed in slogan one man, one vote and relates to proportional representation. Related is the votes-per-seat-won, which is inverse to the seats-to-votes ratio. Relation to disproportionality indices The Sainte-Laguë Index is a disproportionality index derived by applying the Pearson's chi-squared test to the seats-to-votes ratio. Relation to seat allocation methods Different seat allocation methods such as D'Hondt method The D'Hondt method, also called the Jefferson method or the greatest divisors method, is a method for al ...
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Michael Gallagher (academic)
Michael Gallagher (born 1951) is a political scientist. He is Professor of Comparative Politics and head of the Department of Political Science at the Trinity College Dublin. Education Trained as a computer scientist, Gallagher combines his understanding of statistical analysis with his interests in politics. He holds a B.A. from Lancaster, two M.Sc. degrees, one from Essex and one from Strathclyde. He completed his Ph.D. at the University of Strathclyde. Career Gallagher created the Gallagher index, a least squares index of proportional representation that measures an electoral system’s disproportionality between votes received and seats allotted in a legislature. His research interests include Irish politics, comparative political institutions, and political parties. Gallagher is the author, co-author or editor of eighteen books, including ''The Politics of Electoral Systems'' (2005, co-edited with Paul Mitchell), ''Politics in the Republic of Ireland'' (4th ed., 2005, ...
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Pearson's Chi-squared Test
Pearson's chi-squared test (\chi^2) is a statistical test applied to sets of categorical data to evaluate how likely it is that any observed difference between the sets arose by chance. It is the most widely used of many chi-squared tests (e.g., Yates, likelihood ratio, portmanteau test in time series, etc.) – statistical procedures whose results are evaluated by reference to the chi-squared distribution. Its properties were first investigated by Karl Pearson in 1900. In contexts where it is important to improve a distinction between the test statistic and its distribution, names similar to ''Pearson χ-squared'' test or statistic are used. It tests a null hypothesis stating that the frequency distribution of certain events observed in a sample is consistent with a particular theoretical distribution. The events considered must be mutually exclusive and have total probability 1. A common case for this is where the events each cover an outcome of a categorical variable. A ...
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Psephology
Psephology (; from Greek el, ψῆφος, psephos, pebble, label=none) or political analysis is a branch of political science, the "quantitative analysis of elections and balloting". As such, psephology attempts to explain elections using the scientific method. Psephology is related to political forecasting. Psephology uses historical precinct voting data, public opinion polls, campaign finance information and similar statistical data. The term was coined in 1948 in the United Kingdom by W. F. R. Hardie (1902–1990) after he was asked by his friend R. B. McCallum for a word to describe the study of elections; first written use in 1952.
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Electoral Systems
An electoral system or voting system is a set of rules that determine how elections and referendums are conducted and how their results are determined. Electoral systems are used in politics to elect governments, while non-political elections may take place in business, non-profit organisations and informal organisations. These rules govern all aspects of the voting process: when elections occur, who is allowed to vote, who can stand as a candidate, how ballots are marked and cast, how the ballots are counted, how votes translate into the election outcome, limits on campaign spending, and other factors that can affect the result. Political electoral systems are defined by constitutions and electoral laws, are typically conducted by election commissions, and can use multiple types of elections for different offices. Some electoral systems elect a single winner to a unique position, such as prime minister, president or governor, while others elect multiple winners, such as memb ...
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Electoral Systems
An electoral system or voting system is a set of rules that determine how elections and referendums are conducted and how their results are determined. Electoral systems are used in politics to elect governments, while non-political elections may take place in business, non-profit organisations and informal organisations. These rules govern all aspects of the voting process: when elections occur, who is allowed to vote, who can stand as a candidate, how ballots are marked and cast, how the ballots are counted, how votes translate into the election outcome, limits on campaign spending, and other factors that can affect the result. Political electoral systems are defined by constitutions and electoral laws, are typically conducted by election commissions, and can use multiple types of elections for different offices. Some electoral systems elect a single winner to a unique position, such as prime minister, president or governor, while others elect multiple winners, such as memb ...
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