Local indices of segregation: a case study of London secondary schools

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Segregation indices measure how social groups are distributed across a region and whether they are separated. A local index compares each place to surrounding places, adopting a network model of space. This allows calculating an index value for each place and examining the distribution. Applying this to London secondary schools, differences were found between schools' proportions of pupils eligible for free school meals and their competitors. Selecting schools showed the greatest differences. No evidence was found that segregation increased from 2003-2008, possibly because the competitive system remained stable, with average patterns of competition unchanged.

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Local indices of isolation and of concentration with application to social segregation between London secondary schools

[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object]

student Primary school Secondary school Attributes 1 A I … 2 A II … 3 B I … 4 C I … 5 C II … 6 B III … … … … …

primary primary primary primary secondary secondary

[object Object],[object Object],Year FSM, i FSM, j 1-FSM, j LID LII 1 0.4 0.3 0.7 0.10 0.28 2 0.6 0.5 0.5 0.10 0.30

Note: only |LID| is unidirectional (it determines a difference but not which school has the greater proportion of FSM-eligible pupils. All the others rise with FSM-eligibility per school. LII MLII LID |LID| LII 1 0.843 0.766 0.313 MLII 0.843 1 0.819 0.264 LID 0.766 0.819 1 0.206 |LID| 0.313 0.264 0.206 1

Note: Due to data swapping, it is not possible to read values for specific schools from their apparent locations on the map

Higher than expected Lower than expected

Directly or indirectly selecting schools tend to have a lower proportion of FSM eligible pupils than their competitors

No evidence that social segregation increased 2003-8. Why?

[object Object],ID 2 3 4 5 6 7 8 37 40 … w ij 0.275 0.131 0.015 0.018 0.262 0.029 0.222 0.005 0.002 … ID 2 6 8 3 7 105 5 4 43 … w ij 0.275 0.262 0.222 0.131 0.029 0.021 0.018 0.015 0.007 … ∑ w ij 0.275 0.537 0.759 0.89 0.918 0.939 0.957 0.972 0.979 …

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Local indices of segregation: a case study of London secondary schools