Algorithm 11: Information Statistics for Comparing Predicted and Observed Trip Matrices

Ayeni B , 1982, “The testing of hypotheses on interaction data matrices” Geographical Analysis 14 79–84.

Ayeni M A O , 1976, “The city system and the use of entropy in urban analysis” Urban Ecology 2 33–53.

Batty M , 1970, “Some problems of calibrating the Lowry model” Environment and Planning 2 95–114.

Berry B J L Schwind P , 1969, “Information and entropy in migrant flows” Geographical Analysis 1 5–14.

Black J A Salter R J , 1975, “A statistical evaluation of a family of gravity models” Proceedings of the Institution of Civil Engineers 59 1–20.

Bowman K O Shanton L R Hurchenson K Odun E P , 1971, “Comments on the distribution of indices of diversity” in Many Species Populations, Ecosystem and Systems Analysis Eds Patil G P Pielou E C Waters W E , The Pennsylvania State University, University Park, PA 16802.

Chapman G P , 1970, “The application of information theory to the analysis of population distribution in space” Economic Geography (Supplement) 46 317–331.

Fisher R , 1950, “The significance of deviations from expectation in a Poisson series” Biometrica 6 17–24.

Fisk C Brown G R , 1975, “The role of model parameters in trip distribution models” Transportation Research 9 143–148.

Garrison C B Paulson A J , 1973, “An entropy measure of the geographical concentration of economic activity” Economic Geography 49 319–324.

Gokhale D V Kullback S , 1978 The Information in Contingency Tables (Marcel Dekkar, New York).

Hoel P G , 1971 Introduction to Mathematical Statistics (John Wiley, New York).

Hyman G , 1969, “The calibration of trip distribution models” Environment and Planning 1 105–112.

Jaynes E T , 1957, “Information theory and statistical mechanics” Physical Review 106 165–188.

Kullback S , 1958 Information Theory and Statistics (John Wiley, New York).

Osteyee D B Good I J , 1974 Information, Weight of Evidence, The Singularity Between Probability Measures and Signal Detection (Springer, Berlin).

Pitfield D E , 1978, “Algorithm 6: The χ² test for predicted trip matrices” Environment and Planning A 10 1200–1206.

Shore J E Johnson R W , 1980, “Axiomatic derivation of the principle of minimum cross-entropy and the principle of minimum cross-entropy” IEEE Transaction on Information Theory volume IT-26, pp 20–27.

Snickars F Weibull J W , 1977, “A minimum information principle. Theory and practice” Regional Science and Urban Economics 7 137–168.

Theil H , 1967 Economics and Information Theory (North-Holland, Amsterdam).

Wilson A G , 1970 Entropy in Urban and Regional Modelling (Pion, London).

Wilson A G , 1971, “A family of spatial interaction models, and associated developments” Environment and Planning 3 1–32.

Wilson J R , 1976, “Statistical notes on the evaluation of calibrated gravity models” Transportation Research 10 343–345.