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Proportion Analysis on Cell Data: Distortions Due to Variations in Cell Sizes

Scottish Education Department

'Proportion' analysis is a technique for comparing the relative incidence of concentrated deprivation between regions. It is applied when population or household data is available down to the level of small areal units or cells. The technique involves calculating the proportion of households in each cell possessing a given attribute: identifying those cells with extreme proportions: and then drawing inferences based on the incidence of these selected cells. This technique is shown to be sensitive to bias in the presence of variations in size of the basic cells. A general formula is derived for calculating the extent of the bias, under simplifying assumptions. Tables are given, illustrating the extent of the bias in particular cases.

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