A test of a special case of typicality in linear discriminant analysis
Let us consider two populations having p~variate normal distributions with a common variance-covariance matrix where the parameters are known. Let X denote the vector of observations on an experimental unit whose origin is uncertain. A test is proposed to test the hypothesis that X is distributed according to one of the two distributions against the hypothesis of a third normal distribution with a mean that is a linear combination of the means of the two populations. Simulations were performed to check the level and the power of the test under various hypotheses. An example is presented.
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dig-cirad-fr-3911592022-04-22T14:39:26Z http://agritrop.cirad.fr/391159/ http://agritrop.cirad.fr/391159/ A test of a special case of typicality in linear discriminant analysis. Bar-Hen Avner, Daudin J.J.. 1997. Biometrics, 53 : 39-48.https://doi.org/10.2307/2533095 <https://doi.org/10.2307/2533095> Researchers A test of a special case of typicality in linear discriminant analysis Bar-Hen, Avner Daudin, J.J. eng 1997 Biometrics F30 - Génétique et amélioration des plantes U10 - Informatique, mathématiques et statistiques Let us consider two populations having p~variate normal distributions with a common variance-covariance matrix where the parameters are known. Let X denote the vector of observations on an experimental unit whose origin is uncertain. A test is proposed to test the hypothesis that X is distributed according to one of the two distributions against the hypothesis of a third normal distribution with a mean that is a linear combination of the means of the two populations. Simulations were performed to check the level and the power of the test under various hypotheses. An example is presented. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/closedAccess https://doi.org/10.2307/2533095 10.2307/2533095 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=90593 info:eu-repo/semantics/altIdentifier/doi/10.2307/2533095 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.2307/2533095 |
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F30 - Génétique et amélioration des plantes U10 - Informatique, mathématiques et statistiques F30 - Génétique et amélioration des plantes U10 - Informatique, mathématiques et statistiques |
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F30 - Génétique et amélioration des plantes U10 - Informatique, mathématiques et statistiques F30 - Génétique et amélioration des plantes U10 - Informatique, mathématiques et statistiques Bar-Hen, Avner Daudin, J.J. A test of a special case of typicality in linear discriminant analysis |
| description |
Let us consider two populations having p~variate normal distributions with a common variance-covariance matrix where the parameters are known. Let X denote the vector of observations on an experimental unit whose origin is uncertain. A test is proposed to test the hypothesis that X is distributed according to one of the two distributions against the hypothesis of a third normal distribution with a mean that is a linear combination of the means of the two populations. Simulations were performed to check the level and the power of the test under various hypotheses. An example is presented. |
| format |
article |
| topic_facet |
F30 - Génétique et amélioration des plantes U10 - Informatique, mathématiques et statistiques |
| author |
Bar-Hen, Avner Daudin, J.J. |
| author_facet |
Bar-Hen, Avner Daudin, J.J. |
| author_sort |
Bar-Hen, Avner |
| title |
A test of a special case of typicality in linear discriminant analysis |
| title_short |
A test of a special case of typicality in linear discriminant analysis |
| title_full |
A test of a special case of typicality in linear discriminant analysis |
| title_fullStr |
A test of a special case of typicality in linear discriminant analysis |
| title_full_unstemmed |
A test of a special case of typicality in linear discriminant analysis |
| title_sort |
test of a special case of typicality in linear discriminant analysis |
| url |
http://agritrop.cirad.fr/391159/ |
| work_keys_str_mv |
AT barhenavner atestofaspecialcaseoftypicalityinlineardiscriminantanalysis AT daudinjj atestofaspecialcaseoftypicalityinlineardiscriminantanalysis AT barhenavner testofaspecialcaseoftypicalityinlineardiscriminantanalysis AT daudinjj testofaspecialcaseoftypicalityinlineardiscriminantanalysis |
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1758016404556087296 |