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Bayesian analysis of null intercept errors-in-variables regression for pretest/post-test data

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  • Reiko Aoki
  • Jorge Achcar
  • Heleno Bolfarine
  • Julio Singer

Abstract

This article discusses a Bayesian analysis of repeated measures pretest/post-test data under null intercepts errors-in-variables regression models. For illustration we consider an example in the field of dentistry involving the comparison of two types of toothbrushes with respect to the efficacy in removing dental plaque. The proposed Bayesian approach accommodates the correlated measurements and incorporates the restriction that the slopes must lie in the [0,1] interval, a feature not considered in the analysis conducted by Singer & Andrade (1997). The observed values of the (repeated) response and explanatory variables are supposed to follow a Multivariate Student- t distribution. A Gibbs sampler is used to perform the computations.

Suggested Citation

  • Reiko Aoki & Jorge Achcar & Heleno Bolfarine & Julio Singer, 2003. "Bayesian analysis of null intercept errors-in-variables regression for pretest/post-test data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(1), pages 3-12.
    • Handle: RePEc:taf:japsta:v:30:y:2003:i:1:p:3-12
    DOI: 10.1080/0266476022000018466
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    Citations

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    Cited by:

    1. Filidor Vilca-Labra & Reiko Aoki & Camila Zeller, 2011. "Hypotheses testing for structural calibration model," Statistical Papers, Springer, vol. 52(3), pages 553-565, August.
    2. Leão Pinto Jr., D. & Aoki, R. & Silva, G.F., 2009. "Statistical analysis of proficiency testing results under elliptical distributions," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1427-1439, February.
    3. Filidor Labra & Reiko Aoki & Heleno Bolfarine, 2005. "Local influence in null intercept measurement error regression under a student_t model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 723-740.
    4. Ghosh, Pulak & Bayes, C.L. & Lachos, V.H., 2009. "A robust Bayesian approach to null intercept measurement error model with application to dental data," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1066-1079, February.
    5. Victor Lachos & Vicente Cancho & Reiko Aoki, 2010. "Bayesian analysis of skew-t multivariate null intercept measurement error model," Statistical Papers, Springer, vol. 51(3), pages 531-545, September.

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