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Broken biological size relationships: A truncated semiparametric regression approach with measurement error

Publication ,  Journal Article
Gelfand, AE; Mallick, BK; Polasek, W
Published in: Journal of the American Statistical Association
September 1, 1997

Biological size relationships (i.e., regression of one size variable on another) are typically monotone but often break down at extreme values of the variables. Here we study the way in which a plant's biomass is apportioned to reproductive and other life activities. Working with a theory proposed by Weiner (1988) based an analogy between a biological plant and an industrial plant leads to a truncated regression model formulation. We consider a dataset involving 542 goldenrod plants that has been analyzed in a limited fashion by others. Important extensions that we provide include nonparametric modeling of the size relationship, introduction of covariate information, incorporation of heterogeneity across plant families, and inclusion of measurement error models for both response and explanatory variables. Our approach is through hierarchical models taking advantage of available prior information on the magnitudes of the size variables. Models are fitted using simulation methods enabling a full range of inference. An attractive model choice criterion demonstrates the need to accommodate all of the aforementioned aspects for the given dataset. Our flexible modeling approach can be adapted to investigate other biological size relationships. © 1997 Taylor & Francis Group, LLC.

Duke Scholars

Published In

Journal of the American Statistical Association

DOI

EISSN

1537-274X

ISSN

0162-1459

Publication Date

September 1, 1997

Volume

92

Issue

439

Start / End Page

836 / 845

Related Subject Headings

  • Statistics & Probability
  • 1603 Demography
  • 1403 Econometrics
  • 0104 Statistics
 

Citation

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Gelfand, A. E., Mallick, B. K., & Polasek, W. (1997). Broken biological size relationships: A truncated semiparametric regression approach with measurement error. Journal of the American Statistical Association, 92(439), 836–845. https://doi.org/10.1080/01621459.1997.10474039
Gelfand, A. E., B. K. Mallick, and W. Polasek. “Broken biological size relationships: A truncated semiparametric regression approach with measurement error.” Journal of the American Statistical Association 92, no. 439 (September 1, 1997): 836–45. https://doi.org/10.1080/01621459.1997.10474039.
Gelfand AE, Mallick BK, Polasek W. Broken biological size relationships: A truncated semiparametric regression approach with measurement error. Journal of the American Statistical Association. 1997 Sep 1;92(439):836–45.
Gelfand, A. E., et al. “Broken biological size relationships: A truncated semiparametric regression approach with measurement error.” Journal of the American Statistical Association, vol. 92, no. 439, Sept. 1997, pp. 836–45. Scopus, doi:10.1080/01621459.1997.10474039.
Gelfand AE, Mallick BK, Polasek W. Broken biological size relationships: A truncated semiparametric regression approach with measurement error. Journal of the American Statistical Association. 1997 Sep 1;92(439):836–845.

Published In

Journal of the American Statistical Association

DOI

EISSN

1537-274X

ISSN

0162-1459

Publication Date

September 1, 1997

Volume

92

Issue

439

Start / End Page

836 / 845

Related Subject Headings

  • Statistics & Probability
  • 1603 Demography
  • 1403 Econometrics
  • 0104 Statistics