New classification methods of branching patterns
- 1 October 1984
- journal article
- Published by Wiley in Journal of Microscopy
- Vol. 136 (1) , 23-34
- https://doi.org/10.1111/j.1365-2818.1984.tb02543.x
Abstract
Binary branching patterns are described in this paper by their topological structure. The statistical properties of these structures appear to be highly dependent on their growth patterns. As such, observed trees may be used for testing growth models. This paper describes three options in the construction of frequency distributions of topological parameters and their corresponding probability distributions, arising from the terminal and segmental growth models. The construction of these distributions makes the analysis of observed tree structures possible in those experimental conditions where small numbers of observations or differing sizes of trees would form serious obstacles to alternative analytical procedures.Keywords
This publication has 14 references indexed in Scilit:
- A new method for the topological analysis of neuronal tree structuresJournal of Neuroscience Methods, 1983
- Asymptotically Optimal Methods of Combining TestsJournal of the American Statistical Association, 1979
- Combining Independent Chi-Squared TestsJournal of the American Statistical Association, 1978
- Combining Independent Chi-Squared TestsJournal of the American Statistical Association, 1978
- The growth of the dendritic trees of Purkinje cells in the cerebellum of the ratBrain Research, 1976
- Three Growth Models for Stream Channel NetworksThe Journal of Geology, 1976
- The probabilities of rooted tree-shapes generated by random bifurcationAdvances in Applied Probability, 1971
- Statistical Law of Stream NumbersThe Journal of Geology, 1966
- Quantitative analysis of watershed geomorphologyEOS, Transactions American Geophysical Union, 1957
- Some Methods for Strengthening the Common χ 2 TestsPublished by JSTOR ,1954