## Analysis of Multivariate Social Science Data, Second Edition by Bartholomew, David J. PDF

By Bartholomew, David J.

ISBN-10: 1584889608

ISBN-13: 9781584889601

ISBN-10: 1584889616

ISBN-13: 9781584889618

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**Additional resources for Analysis of Multivariate Social Science Data, Second Edition**

**Example text**

15 sets out the 16 possible response patterns and their frequencies. The patterns are arranged by the number of 1s they contain. The data may be regarded as 379 observations on four binary variables x1 , x2 , x3 , and x4 . 15 Response patterns, frequencies and cluster allocation using farthest neighbour (complete linkage) clustering for the attitude to abortion data Pattern x1 x2 x3 x4 Total Frequency Cluster 1 0 0 0 0 0 103 1 2 3 4 5 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 13 10 9 1 1 2 1 1 6 7 8 9 10 11 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 1 1 0 0 0 2 2 2 2 2 2 21 6 0 7 0 3 2 1 1 2 2 1 12 13 14 15 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 3 3 3 3 44 6 3 12 2 2 1 2 16 1 1 1 1 4 141 2 Total 379 for example, 103 respondents thought an abortion should not be allowed in any of the four situations; 13 thought an abortion should be allowed if the couple could not aﬀord have the child; and so on to the last row, where 141 respondents thought that an abortion should be allowed in all four situations.

We must not therefore expect to learn very much about interpretation from this particular example. Its purpose is solely to deﬁne the steps which have to be followed. Imagine that the data concern ﬁve customers of a supermarket: Adam, Brian, Carmen, Donna, and Eve, and that information has been obtained from a survey of their tastes and preferences. 1. 1 Distance table for illustrating clustering methods A B C D E A B C D E – 3 8 11 10 – 7 9 9 – 6 7 – 5 – tential buying patterns. The smaller the number, the closer the pair.

Binary responses to four items are given for 379 respondents. The items are questions relating to the circumstances under which a respondent would consider that an abortion should be allowed under law. The four circumstances are (brieﬂy): the woman decides on her own that she does not wish to have the child; the couple agree that they do not want to have the child; the woman is not married and does not wish to marry the man; and the couple cannot aﬀord to have any more children. 14 Attitude to abortion marginal frequencies for four binary variables Variable x1 x2 x3 x4 Item Response 1 0 WomanDecide CoupleDecide NotMarried CannotAﬀord 166 225 241 234 213 154 138 145 Total 379 379 379 379 low an abortion) and negatively (an abortion should not be allowed) for each item, together with a short item name.

### Analysis of Multivariate Social Science Data, Second Edition by Bartholomew, David J.

by Mark

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