Cet article se concentre sur la construction et l’évaluation de la qualité de bandes de confiance de droites de régression à erreurs sur les variables utilisées dans le contexte particulier de la comparaison de méthodes de mesure. La comparaison de méthodes de mesure vise à vérifier, sur base de données expérimentales, que deux méthodes de mesure fournissent des résultats équivalents. En l’absence de biais analytique, deux méthodes, entachées d’erreurs de mesure, doivent fournir des résultats en moyenne identiques, c’est-à-dire distribués autour de la droite
This paper focuses on the confidence bands of errors-in-variables regression lines applied to method comparison studies. When comparing two measurement methods, the goal is to ’proof’ that they are equivalent. Without analytical bias, they must provide the same results on average notwithstanding the errors of measurement. The results should not be far from the identity line
Mots-clés : bandes de confiance, régression avec erreurs sur variables, comparaison de méthode, équivalence de méthode de mesure, régression deming
@article{JSFS_2014__155_1_23_0, author = {Francq, Bernard G. and Govaerts, Bernadette B.}, title = {Hyperbolic confidence bands of errors-in-variables regression lines applied to method comparison studies}, journal = {Journal de la soci\'et\'e fran\c{c}aise de statistique}, pages = {23--45}, publisher = {Soci\'et\'e fran\c{c}aise de statistique}, volume = {155}, number = {1}, year = {2014}, mrnumber = {3199548}, zbl = {1316.62098}, language = {en}, url = {http://archive.numdam.org/item/JSFS_2014__155_1_23_0/} }
TY - JOUR AU - Francq, Bernard G. AU - Govaerts, Bernadette B. TI - Hyperbolic confidence bands of errors-in-variables regression lines applied to method comparison studies JO - Journal de la société française de statistique PY - 2014 SP - 23 EP - 45 VL - 155 IS - 1 PB - Société française de statistique UR - http://archive.numdam.org/item/JSFS_2014__155_1_23_0/ LA - en ID - JSFS_2014__155_1_23_0 ER -
%0 Journal Article %A Francq, Bernard G. %A Govaerts, Bernadette B. %T Hyperbolic confidence bands of errors-in-variables regression lines applied to method comparison studies %J Journal de la société française de statistique %D 2014 %P 23-45 %V 155 %N 1 %I Société française de statistique %U http://archive.numdam.org/item/JSFS_2014__155_1_23_0/ %G en %F JSFS_2014__155_1_23_0
Francq, Bernard G.; Govaerts, Bernadette B. Hyperbolic confidence bands of errors-in-variables regression lines applied to method comparison studies. Journal de la société française de statistique, Tome 155 (2014) no. 1, pp. 23-45. http://archive.numdam.org/item/JSFS_2014__155_1_23_0/
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