A score test for the agronomical overlap effect in a two-way classification model
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Nacional de Colombia
2014
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| _version_ | 1876455094584606720 |
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| author | Aquiles Darghan |
| author_facet | Aquiles Darghan |
| contents | A score test for the agronomical overlap effect in a two-way classification model Aquiles Darghan Sinha Surendra Julio Monroy Agrociencias side conditions experimental design Perpendicular projection operator In some agricultural research, a treatment applied to an experimental unit may affect the response in the neighboring experimental units. This phenomenon is known as overlap. In this article, a test to evaluate this effect in the Draper and Guttman model was developed by imposing side conditions on the parameters of a two-way classification model to obtain a re-parameterized model which can be used in different neighboring patterns of experimental units, usually plants within a crop, whenever the nearest neighbor is considered a directly affected experimental unit and the two-way model is used. Three methods, namely maximum likelihood, least squares with side conditions and generalized inverse, were used to estimate the parameters of the original model in order to calculate the value of the test statistics for the null hypothesis associated with the absence of the overlapping effect. The three alternatives were invariant with respect to the use of test. The proposed test is simple to adopt and can be implemented in agronomy since its asymptotic nature is in agreement with the large number of experimental units which generally exist in this type of research, where each plant represents the experimental unit being assessed. 2014 artículo científico 0120-9965 https://www.redalyc.org/articulo.oa?id=180333786016 en http://www.redalyc.org/revista.oa?id=1803 Agronomía Colombiana application/pdf Universidad Nacional de Colombia Agronomía Colombiana (Colombia) Num.3 Vol.32 |
| format | Artículo científico |
| id | redalyc_180333786016 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | A score test for the agronomical overlap effect in a two-way classification model Aquiles Darghan Agrociencias side conditions experimental design Perpendicular projection operator A score test for the agronomical overlap effect in a two-way classification model Aquiles Darghan Sinha Surendra Julio Monroy Agrociencias side conditions experimental design Perpendicular projection operator In some agricultural research, a treatment applied to an experimental unit may affect the response in the neighboring experimental units. This phenomenon is known as overlap. In this article, a test to evaluate this effect in the Draper and Guttman model was developed by imposing side conditions on the parameters of a two-way classification model to obtain a re-parameterized model which can be used in different neighboring patterns of experimental units, usually plants within a crop, whenever the nearest neighbor is considered a directly affected experimental unit and the two-way model is used. Three methods, namely maximum likelihood, least squares with side conditions and generalized inverse, were used to estimate the parameters of the original model in order to calculate the value of the test statistics for the null hypothesis associated with the absence of the overlapping effect. The three alternatives were invariant with respect to the use of test. The proposed test is simple to adopt and can be implemented in agronomy since its asymptotic nature is in agreement with the large number of experimental units which generally exist in this type of research, where each plant represents the experimental unit being assessed. 2014 artículo científico 0120-9965 https://www.redalyc.org/articulo.oa?id=180333786016 en http://www.redalyc.org/revista.oa?id=1803 Agronomía Colombiana application/pdf Universidad Nacional de Colombia Agronomía Colombiana (Colombia) Num.3 Vol.32 |
| title | A score test for the agronomical overlap effect in a two-way classification model |
| topic | Agrociencias side conditions experimental design Perpendicular projection operator |
| url | https://www.redalyc.org/articulo.oa?id=180333786016 |