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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.
  • 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. (en)
Title
  • Statistical inference in orthogonal regression for three-part compositional data using a linear model with type-II constraints
  • Statistical inference in orthogonal regression for three-part compositional data using a linear model with type-II constraints (en)
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  • Statistical inference in orthogonal regression for three-part compositional data using a linear model with type-II constraints
  • Statistical inference in orthogonal regression for three-part compositional data using a linear model with type-II constraints (en)
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  • RIV/61989592:15310/12:33140420!RIV13-MSM-15310___
http://linked.open...avai/predkladatel
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  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 13-14
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  • 171178
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  • RIV/61989592:15310/12:33140420
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  • orthogonal regression; compositional data; linear regression model with type-II constraints (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [AA60139D3C64]
http://linked.open...i/riv/nazevZdroje
  • Communications in Statistics - Theory and Methods
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  • 41
http://linked.open...iv/tvurceVysledku
  • Hron, Karel
  • Fišerová, Eva
http://linked.open...ain/vavai/riv/wos
  • 000305208600008
http://linked.open...n/vavai/riv/zamer
issn
  • 0361-0926
number of pages
http://bibframe.org/vocab/doi
  • 10.1080/03610926.2011.604145
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  • 15310
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