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Statistical inference in orthogonal regression for three-part compositional data using a linear model with type-II constraints

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F12%3A33140420" target="_blank" >RIV/61989592:15310/12:33140420 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1080/03610926.2011.604145" target="_blank" >http://dx.doi.org/10.1080/03610926.2011.604145</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1080/03610926.2011.604145" target="_blank" >10.1080/03610926.2011.604145</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Statistical inference in orthogonal regression for three-part compositional data using a linear model with type-II constraints

  • Original language description

    Orthogonal regression is a proper tool to analyze relations between two variables when three-part compositional data, i.e. three-part observations carrying relative information (like proportions or percentages), are under examination. When linear statistical models with type-II constraints (constraints involving other parameters besides the ones of the unknown model) are employed for estimating the parameters of the regression line, approximate variances and covariances of the estimated line coefficients can be determined. Moreover, additional assumption of normality enables to construct confidence domains and perform hypotheses testing. The theoretical results are applied to real-world examples.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Communications in Statistics - Theory and Methods

  • ISSN

    0361-0926

  • e-ISSN

  • Volume of the periodical

    41

  • Issue of the periodical within the volume

    13-14

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    19

  • Pages from-to

    2367-2385

  • UT code for WoS article

    000305208600008

  • EID of the result in the Scopus database