Estimating the Mahalanobis distance from mixed continuous and discrete data

Edward J. Bedrick; Jodi Lapidus; Joseph F. Powell

doi:10.1111/j.0006-341X.2000.00394.x

Estimating the Mahalanobis distance from mixed continuous and discrete data

Edward J. Bedrick
, Jodi Lapidus
, Joseph F. Powell

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

We present a method for estimating the Mahalanobis distance between two multivariate normal populations when a subset of the measurements is observed as ordered categorical responses. Asymptotic properties of the proposed estimator are developed. Two examples are discussed.

Original language	English (US)
Pages (from-to)	394-401
Number of pages	8
Journal	Biometrics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1111/j.0006-341X.2000.00394.x
State	Published - Jun 2000
Externally published	Yes

Keywords

Discriminant analysis
Distance between populations
Multidimensional scaling
Multivariate probit model

ASJC Scopus subject areas

Statistics and Probability
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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10.1111/j.0006-341X.2000.00394.x

Cite this

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title = "Estimating the Mahalanobis distance from mixed continuous and discrete data",

abstract = "We present a method for estimating the Mahalanobis distance between two multivariate normal populations when a subset of the measurements is observed as ordered categorical responses. Asymptotic properties of the proposed estimator are developed. Two examples are discussed.",

keywords = "Discriminant analysis, Distance between populations, Multidimensional scaling, Multivariate probit model",

author = "Bedrick, \{Edward J.\} and Jodi Lapidus and Powell, \{Joseph F.\}",

year = "2000",

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doi = "10.1111/j.0006-341X.2000.00394.x",

language = "English (US)",

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T1 - Estimating the Mahalanobis distance from mixed continuous and discrete data

AU - Bedrick, Edward J.

AU - Lapidus, Jodi

AU - Powell, Joseph F.

PY - 2000/6

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N2 - We present a method for estimating the Mahalanobis distance between two multivariate normal populations when a subset of the measurements is observed as ordered categorical responses. Asymptotic properties of the proposed estimator are developed. Two examples are discussed.

AB - We present a method for estimating the Mahalanobis distance between two multivariate normal populations when a subset of the measurements is observed as ordered categorical responses. Asymptotic properties of the proposed estimator are developed. Two examples are discussed.

KW - Discriminant analysis

KW - Distance between populations

KW - Multidimensional scaling

KW - Multivariate probit model

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UR - https://www.scopus.com/pages/publications/0033933589#tab=citedBy

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M3 - Article

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SP - 394

EP - 401

JO - Biometrics

JF - Biometrics

IS - 2

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Estimating the Mahalanobis distance from mixed continuous and discrete data

Abstract

Keywords

ASJC Scopus subject areas

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