Canonical and principal components of shape

Darroch, J. N.; Mosimann, James E.

doi:10.1093/biomet/72.2.241

Cited by 435 publications

(167 citation statements)

References 11 publications

Supporting

Mentioning

162

Contrasting

Unclassified

Order By: Relevance

“…As a general rule, its only efficacy as a generalised size metric is that it effectively approximates a generalised size vector in multivariate (n-dimensional) space which is ultimately testable. [38][39][40][41] As Jolicoeur and Mosimann have demonstrated, [38][39][40][41]51 both principal and canonical components can be derived and assessed in lieu of any generalised multivariate size distribution (conforming to the Guassian log-normal and gamma distributions) and these effectively approximate the geometric mean. Nevertheless, there has been some recent criticism of the utility of the geometric mean.…”

Section: Discussionmentioning

confidence: 99%

“…While this is important, it merely stresses the rationale (theoretical/computational) that bivariate linear regression of any dependent k variate upon a geometric mean in a cumulative series of which it is a constituent, is inappropriate. 38,45,51 Irrespective of scalar constraints (i.e. differential size of the k dependents), any series of k variates is presumed to be highly correlated with its geometric mean and, given the computational mechanics of derivation of the least squares regression slope, the assumption of independence of x and y is effectively violated.…”

Section: Discussionmentioning

confidence: 99%

“…Darroch and Mosimann 51 have extended the foundations of Jolicoeur's multivariate allometry to canonical component space, subsuming the k-group method of canonical variates analysis. 52,53 Canonical variates analysis is a k-group extension of Fisher's linear discriminant analysis for k=2 groups, 52,53 and this extension has both practical and theoretical significance in biological anthropology.…”

Section: -50mentioning

confidence: 99%

“…This observation is confirmed in recent humans by general consistency of classification statistics of about 75-85% in population-specific DFA analyses in sex assessment across the skeletal system and exemplifies the continuous underlying pooled-sample distribution of female and male individuals in multivariate space. [54][55][56][57][58] Following the extension outlined in Darroch and Mosimann 51 , if the GM of any suite of k variates is an appropriate descriptor of size, then an equally satisfying correspondence should exist among the total variance explained by PC1, the classification statistics derived using a DFA, and the underlying pooled-sample distributions of the two GM sets.…”

Section: -50mentioning

confidence: 99%

See 3 more Smart Citations

Determination of a novel size proxy in comparative morphometrics

Gallagher¹

2015

S. Afr. J. Sci.

View full text Add to dashboard Cite

Absolute size is a critical determinant of organismal biology, yet there exists no real consensus as to what particular metric of 'size' is empirically valid in assessments of extinct mammalian taxa. The methodological approach of JE Mosimann has found extensive favour in 'size correction' in comparative morphometrics, but not 'size prediction' in palaeontology and palaeobiology. Analyses of five distinct mammalian data sets confirm that a novel size variate (GMSize) derived from k=8 dimensions of the postcranial skeleton effectively satisfies all expectations of the Jolicoeur-Mosimann theorem of univariate and multivariate size. On the basis of strong parametric correlations between the k=8 variates and between scores derived from the first principal component and geometric mean size (GMSize) in all series, this novel size variable has considerable utility in comparative vertebrate morphometrics and palaeobiology as an appropriate descriptor of individual size in extant and extinct taxa.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: -50mentioning

confidence: 99%

Section: -50mentioning

confidence: 99%

See 2 more Smart Citations

Determination of a novel size proxy in comparative morphometrics

Gallagher¹

2015

S. Afr. J. Sci.

View full text Add to dashboard Cite

show abstract

“…Especially, given that normal assumptions are usually not "fatal". The resultant significance tests may still be reliable (Darroch & Mosimann, 1985).…”

Section: Discriminant Analysismentioning

confidence: 99%

Credit Scoring Model for Iranian Banking Customers and Forecasting Creditworthiness of Borrowers

Mansouri¹,

Dastoori²

2013

IBR

View full text Add to dashboard Cite

Credit risk is one of important challenges facing banks and credit institutions in all economic systems. Accordingly, much research has focused on credit scoring of bank customers and to predict and classify solvent customers and insolvent customers. In this line, the present study has attempted to identify and employ financial ratios affecting the creditworthiness of banking customers using discriminant analysis and logistic regression to determine the reliability of different credit scoring models in predicting creditworthiness of banking customers. To do so, customers' credit files in one of the branches of commercial Iranian banks in Province were investigated and totally 54 creditable firms and 46 non-creditable firms were identified. The creditworthiness of these firms was determined through discriminant analysis and logic regression using financial information obtained from the sample firms from 2006 to 2011. The results of the study indicated that the two fitted models are reasonable reliable in predicting the creditworthiness of banking customers. However, the logic regression model had a higher discrimination power than the discriminant analysis model.

show abstract

Shape analysis using the thin-plate spline: Neanderthal cranial shape as an example

Yaroch¹

1996

Am. J. Phys. Anthropol.

View full text Add to dashboard Cite

This paper describes a new geometric method for illustrating and quantifying biological shape difference. The technique is discussed in some detail, and is illustrated by applying it to the problem of characterizing Neanderthal cranial shape. The method of thin-plate splines uses a mathematical model based on the bending of a hypothetical steel plate in order 1) objectively to generate a D'Arcy Thompson-style deformed grid that illustrates the shape contrast between two forms, and 2) to quantify the shape difference by breaking it down into a series of components based on scale.

show abstract

Canonical and principal components of shape

Cited by 435 publications

References 11 publications

Determination of a novel size proxy in comparative morphometrics

Determination of a novel size proxy in comparative morphometrics

Credit Scoring Model for Iranian Banking Customers and Forecasting Creditworthiness of Borrowers

Shape analysis using the thin-plate spline: Neanderthal cranial shape as an example

Contact Info

Product

Resources

About