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Approximate Confidence Intervals for Estimates of Redundancy Between Sets of Variables

Bibliographic Data

ID19291382
AuthorsZarrel V Lambert, Albert R Wildt, Richard M Durand
Year1989
Volume24
Issue3
Pages307-333
Publication date1989-07-01
Open AccessNo
TypeARTICLE
VenueMultivariate Behavioral Research (JOURNAL)
Journal identifiersISSN: 0027-3171 • E-ISSN: 1532-7906
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1207/s15327906mbr2403_3
PMID26750500
OpenAlexW2030120379
LanguageEN
Citations received1
References cited42

Use of redundancy analysis would be enhanced by having available a procedure that (a) evaluates the statistical significance of the estimated proportion of variance in the criterion variable set extracted by a given predictor variate, Ry i (2), as well as by all predictor variates combined, R(y 2), and (b) is lenient with respect to assumptions about the distributions of redundancy estimates. A previous testing method leaves in doubt the assessment of redundancy attributed individually to each predictor variate, and it requires parametric assumptions about the distributions of the estimators. This paper describes and demonstrates the bootstrap methodology which yields approximations of the sampling variation of redundancy estimates while assuming little a priori knowledge about the distributions of these statistics. The procedure is applicable for evaluating the estimated proportions of criterion set variance explained solely by a given predictor variate and cumulatively by all predictor variates

Confidence interval · Control variates · Estimator · Monte Carlo method · Parametric statistics · Random variable · Random variate · Redundancy (engineering) · Statistics · Variance (accounting) · Variance reduction · Advanced Statistical Methods and Models · Computer Science · Mathematics · Statistical Methods and Bayesian Inference · Statistical Methods and Inference

  • Bias Approximations for Complex Estimators

    Open Access•Zarrel V Lambert, Albert R Wildt et al.•Educational and Psychological…•1991

  • Computer-Intensive Methods in Statistics

    Persi Diaconis, Bradley Efron•Scientific American•1983

  • Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy

    B Efron, R Tibshirani•Statistical Science•1986

  • Bootstrap Methods

    B Efron•The Annals of Statistics•1979

  • Correcting for Bias in the Canonical Redundancy Statistic

    Open Access•Beth K Dawson-Saunders, Beth Dawson‐Saunders•Educational and Psychological…•1982

  • Bootstrapping an Econometric Model

    David A Freedman, Stephen C Peters•Journal of Business and Economic…•1984

  • The Sampling Distribution and a Test for the Significance of the Bimultivariate Redundancy Statistic

    John K Miller•Multivariate Behavioral Research•1975

  • External Single-Set Components Analysis Of Multiple Criterion/Multiple Predictor Variables

    Claes Fornell•Multivariate Behavioral Research•1979

  • Efron's Bootstrap with Application to the Repeated Measures Design

    Clifford E Lunneborg, James P Tousignant•Multivariate Behavioral Research•1985

  • Bootstrap confidence intervals

    B Efron•Psychological Bulletin•1988

  • Estimating correlation coefficients

    Jeffrey Lee Rasmussen•Psychological Bulletin•1987

  • Estimating the correlation coefficient

    Clifford E Lunneborg•Psychological Bulletin•1985

  • Bootstrap Type I error rates for the correlation coefficient

    Michael J Strube, Michael Strube•Psychological Bulletin•1988

  • Bootstrap confidence intervals

    Jeffrey Lee Rasmussen•Psychological Bulletin•1988

  • Redundancy analysis

    Zarrel V Lambert, Albert R Wildt et al.•Psychological Bulletin•1988

Citations per year0.03
Citation span1991 - 1991 (1)
Highly citedNo

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