A variety of tests for randomness are reviewed based on simple product-moment statistics defined between two matrices, {<i>a_ij</i>} and {<i>b_ij</i>}. Typically, the first matrix, {<i>a_ij</i>}, contains proximity data on the spatial placement of <i>n</i> observations, {<i>x</i>₁, ..., <i>x_n</i>}; the second matrix, {<i>b_ij</i>}, is obtained...

The Euclidean metric is perhaps the most commonly used and most convenient one for representing mapped phenomena. In this paper we examine the suitability of representing cognitive phenomena via the Euclidean metric. Some general properties of spaces are examined with particular emphasis on the...

The problem of validating a given unidimensional scale (that is, an ordering of a set of objects along a single dimension) is discussed in terms of a few simple properties of the data used to obtain the scale. Based on a set of asymmetric proximity values as raw data, a distinction between...

Connections between hierarchical clustering and the seriation of objects along a continuum that depend on the patterning of entries in a proximity matrix are pointed out. Based on the similarity between the central notion of an ultrametric in hierarchical clustering and what is called an...

A procedure is discussed for comparing two rectangular <i>n</i> x <i>m </i>data matrices. The two matrices would typically represent data on the same <i>n </i>objects (for example, cities or subjects) and the same <i>m </i>attributes (for example, crime rates or attitudinal variables). An index that measures the degree to...

An inference strategy is presented to assess the goodness-of-fit for logit models. The conventional approach has emphasized likelihood ratio tests in which a distribution for the test statistic is assumed. A more recent development, the prediction success table, is based upon a ratio of...

A major concern of geographers has been the explanation and prediction of spatial choice behavior. Several discrete choice models have been developed which attempt to account for the use of different transport routes, modes, shopping centers, and so on. One of the fundamental issues associated...

This paper itemises and examines some of the myths that appear to be building up in geography around the topic of behavioral research. In particular it traces some of the reasons for the development of behavioral approaches in the discipline, defines some of their fundamental characteristics,...

This paper examines the spatial properties of settlement patterns, using two-dimension digital spectral analysis, in areas selected for diverse physical and economic environment. A comparison with Christaller geometry is made and discussed.

In 1997 the Department of Transportation carried out a one-week study in Lexington, Kentucky in which the cars of 100 households were equipped with GPS and in-car computers. Every stop was logged by the GPS receiver and the purpose of the stop was recorded at real time on an in-car computer. The...