Neil Wrigley

Stochastic Panel-Data Models of Urban Shopping Behaviour: 1. Purchasing at Individual Stores in a Single City

In this paper, the first application of the NBD (negative binomial distribution) consumer purchasing model is presented in the context of purchasing at individual stores in a single city. Empirical results derived from a recently conducted spatially disaggregate consumer-panel survey in Cardiff, United Kingdom, are reported. The fit of the model, in general, is extremely good, although there are certain small but consistent discrepancies, the explanation of which has both statistical and geographical components.

Stochastic Panel-Data Models of Urban Shopping Behaviour: 2. Multistore Purchasing Patterns and the Dirichlet Model

In this paper, the first application of the Dirichlet model of heterogeneous buyer behaviour, in the context of multistore purchasing in a single city, is presented. Empirical results derived from a recently conducted spatially disaggregate consumer-panel survey in Cardiff, the United Kingdom, are reported. The fit of the model is, in general, extremely good, and its potential for studies of urban consumer behaviour is stressed.

Stochastic Panel-Data Models of Urban Shopping Behaviour: 4. Incorporating Independent Variables into the NBD and Dirichlet Models

In this paper the authors describe the way in which the NBD and Dirichlet models of consumer behaviour may be extended to include independent or exogenous variables. Such methods allow the predictions obtained from these models to be disaggregated, that is, to be made conditional on the values of the exogenous variables. Empirical examples are presented of repeat buying of a branded good and at an individual store (for the NBD model), and of multistore purchasing (for the Dirichlet model).

Developments in the statistical analysis of categorical data

During the past ten years the social sciences have benefited from a ’major advance in the analysis of categorical data, an area where statistical methodology had previously been weak’ (Coxon, 1977). In the late 1960s and early 1970s a series of influential papers and books on the analysis of categorical data was published (Cox, 1970; Goodman, 1970; 1972a; 1972b; Grizzle et al., 1969; Theil, 1969; 1970) which succeeded in reaching and influencing a wide audience in a range of disciplines including statistics, biometrics, medicine, econometrics, sociology and transportation science. At the same time, a number of doctoral dissertations or early research papers on the topic were completed by workers such as Fienberg (1968), Bishop (1967), McFadden (1968) and Haberman (1970) who were subsequently to produce equally influential books and papers in the mid 1970s

Stochastic Panel-Data Models of Urban Shopping Behaviour: 3. The Interaction of Store Choice and Brand Choice

In this paper, the first consideration of the interaction of the processes of store choice and brand choice at the level of individual stores is presented. Empirical results derived from a recently conducted spatially disaggregate consumer-panel survey in Cardiff, the United Kingdom, are reported. These results suggest that store loyalty and brand loyalty are both extremely low. On this basis it is argued that store and brand choice might profitably be regarded as a nested choice process, with store choice preceding brand choice. The application of the Dirichlet model to patterns of multibrand purchasing within individual stores is then discussed.

Graphical diagnostics for logistic oil exploration models

This paper demonstrates how some recently developed graphical diagnostic techniques can be used to explore and improve the specification of logistic oil exploration models. Techniques are applied to information on 124 hydrocarbon exploration wells drilled between 1948 and 1963 into the ‘B’ Division of the Mississippian (Osage Series) in a 13 by 13 square mile area of Stafford County, south-central Kansas.

Paired-comparison experiments and logit models: a review and illustration of some recent developments

Paired-comparison procedures have considerable potential in many areas of geographical research, but in recent years geographers have used them in a rather unimaginative way, confining their use almost exclusively to the initial stages of multidimensional scaling experiments. This paper reviews and illustrates some new procedures for treating paired-comparison data, which link the method of paired comparisons into the rapidly developing unified approach to the analysis of categorical data. The paper concentrates specifically on a weighted-least-squares logit-model approach, and on how to fit such models by use of a readily available computer program, GENCAT.

Categorical data, repeated-measurement research designs, and regional industrial surveys

Wrigley N. (1980) Categorical data, repeated-measurement research designs, and regional industrial surveys, Reg. Studies 14, 455–471. This paper shows that the sets of location factor questions often included in regional industrial surveys are an example of a categorical data, repeated-measurement research design, and that as a result they can be analysed using a methodology which is part of the rapidly developing unified approach to the analysis of categorical data. A weighted least-squares logit model is used to analyse data from a recent regional industrial survey of Northern Ireland, and details of how to fit such models using the computer program GENCAT are provided.

Book review essay: Sons of the green giant

x + 557 pp. £10.50. Everitt, B. S. 1977: The analysis of contingency tables. London: Chapman and Hall. ix + 128 pp. £3.95. Fienberg, S. E. 1977: The analysis of cross-classified data. Cambridge, Massachusetts: MIT Press. x + 151 pp. £7.70. Haberman, S. J. 1978: Analysis of qualitative data. Volume 1: Introductory topics. New York: Academic Press. xiii + 368 pp. £12.65 (U.S.

Quantitative Methods: The Era of Longitudinal Data Analysis

19.50). Upton, G. J. G. 1978: The analysis of cross-tabulated data. Chichester: John Wiley. xii + 148 pp. £10.75.