5.2. Association

5.2.1. Tests for General Association

Table 5.1 contains data from a study concerning the distribution of party affiliation in a city suburb. The interest was whether there was an association between registered political party and neighborhood.

Table 5.1. Distribution of Parties in Neighborhoods
 Neighborhood
PartyBaysideHighlandLongviewSheffeld
Democrat221160360140
Independent200291160311
Republican20810631697

For these data, both row and column variables are nominally scaled; there is no inherent ordering of the response values for either neighborhood or political party. Thus, the alternative to the null hypothesis of no association is general association, defined as heterogeneous patterns of distribution of the response (column) ...

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