Confidence regions for INDSCAL using the jackknife and bootstrap techniques

Sharon L. Weinberg; J. Douglas Carroll; Harvey S. Cohen

doi:10.1007/BF02302586

Confidence regions for INDSCAL using the jackknife and bootstrap techniques

Sharon L. Weinberg, J. Douglas Carroll, Harvey S. Cohen

Applied Statistics, Social Science, and Humanities

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

Abstract

Bootstrap and jackknife techniques are used to estimate ellipsoidal confidence regions of group stimulus points derived from INDSCAL. The validity of these estimates is assessed through Monte Carlo analysis. Asymptotic estimates of confidence regions based on a MULTISCALE solution are also evaluated. Our findings suggest that the bootstrap and jackknife techniques may be used to provide statements regarding the accuracy of the relative locations of points in space. Our findings also suggest that MULTISCALE asymptotic estimates of confidence regions based on small samples provide an optimistic view of the actual statistical reliability of the solution.

Original language	English (US)
Pages (from-to)	475-491
Number of pages	17
Journal	Psychometrika
Volume	49
Issue number	4
DOIs	https://doi.org/10.1007/BF02302586
State	Published - Dec 1984

Keywords

Individual differences
maximum likelihood
multidimensional scaling
pseudovalues
resampling schemes
stability
standard errors

ASJC Scopus subject areas

Psychology(all)
Applied Mathematics

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10.1007/BF02302586

Cite this

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abstract = "Bootstrap and jackknife techniques are used to estimate ellipsoidal confidence regions of group stimulus points derived from INDSCAL. The validity of these estimates is assessed through Monte Carlo analysis. Asymptotic estimates of confidence regions based on a MULTISCALE solution are also evaluated. Our findings suggest that the bootstrap and jackknife techniques may be used to provide statements regarding the accuracy of the relative locations of points in space. Our findings also suggest that MULTISCALE asymptotic estimates of confidence regions based on small samples provide an optimistic view of the actual statistical reliability of the solution.",

keywords = "Individual differences, maximum likelihood, multidimensional scaling, pseudovalues, resampling schemes, stability, standard errors",

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T1 - Confidence regions for INDSCAL using the jackknife and bootstrap techniques

AU - Weinberg, Sharon L.

AU - Carroll, J. Douglas

AU - Cohen, Harvey S.

PY - 1984/12

Y1 - 1984/12

N2 - Bootstrap and jackknife techniques are used to estimate ellipsoidal confidence regions of group stimulus points derived from INDSCAL. The validity of these estimates is assessed through Monte Carlo analysis. Asymptotic estimates of confidence regions based on a MULTISCALE solution are also evaluated. Our findings suggest that the bootstrap and jackknife techniques may be used to provide statements regarding the accuracy of the relative locations of points in space. Our findings also suggest that MULTISCALE asymptotic estimates of confidence regions based on small samples provide an optimistic view of the actual statistical reliability of the solution.

AB - Bootstrap and jackknife techniques are used to estimate ellipsoidal confidence regions of group stimulus points derived from INDSCAL. The validity of these estimates is assessed through Monte Carlo analysis. Asymptotic estimates of confidence regions based on a MULTISCALE solution are also evaluated. Our findings suggest that the bootstrap and jackknife techniques may be used to provide statements regarding the accuracy of the relative locations of points in space. Our findings also suggest that MULTISCALE asymptotic estimates of confidence regions based on small samples provide an optimistic view of the actual statistical reliability of the solution.

KW - Individual differences

KW - maximum likelihood

KW - multidimensional scaling

KW - pseudovalues

KW - resampling schemes

KW - stability

KW - standard errors

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EP - 491

JO - Psychometrika

JF - Psychometrika

IS - 4

ER -

Confidence regions for INDSCAL using the jackknife and bootstrap techniques

Abstract

Keywords

ASJC Scopus subject areas

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