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Table 12.4 Boolean operators for category retrievals<br />

this means BOTH categories have been assigned and it excludes those where only<br />

one OR the other has been applied. In our other retrieval we asked the computer to<br />

collect all examples where one category BUT NOT the other has been assigned to<br />

the <strong>data</strong>. Using ‘X’ and ‘Y’ for our categories, we can see that our retrievals are based<br />

on the following operations:<br />

retrieve all ‘X’ AND ‘Y’<br />

retrieve all ‘X’ NOT ‘Y’<br />

These are often called ‘boolean’ operators after the nineteenth century logician,<br />

George Boole, who first distinguished them. There is another operator we may find<br />

useful as a basis for retrievals:<br />

retrieve all ‘X’ OR ‘Y’<br />

MAKING CONNECTIONS 183<br />

This would allow us to retrieve all the <strong>data</strong> which has been assigned to either of two<br />

different categories. For example, we could retrieve all the <strong>data</strong>bits assigned to<br />

‘dentist suffering’ and ‘patient suffering’. Notice that in ordinary language, we tend<br />

to use ‘and’ rather than ‘or’ when we refer to retrieving all the <strong>data</strong>bits for each of the<br />

categories—meaning ‘all X and all Y’. Confusion arises if we think about the results<br />

of the retrieval—which will include all ‘X’ and all ‘Y’—rather than the decisions on<br />

which it is based. To avoid confusion, we need to consider how the retrieval<br />

‘operates’ on each <strong>data</strong>bit. It is this decision which we must be clear about: i.e. do<br />

we include this <strong>data</strong>bit or not? The boolean operators provide a logical basis for<br />

deciding on inclusion or exclusion in terms of how our categories have been<br />

assigned (Table 12.4)<br />

Cross-tabulations based on such retrievals involve looking for connections where<br />

categories do or do not concur. The evidence these retrievals produce is embedded<br />

within each <strong>data</strong>bit. The <strong>data</strong>bits within each cell have no relationship to each<br />

other, other than that they have been assigned to the same category or categories.

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