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| Titel: |
An upper bound for any linear function of normed residuals |
| Auteur: |
Prescott, P. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 6 (1977) nr. 1 pagina's 83-88 |
| Jaar: |
1977 |
| Inhoud: |
An upper bound for any linear function of normed residuals from a least squares analysis of a linear model is determined by considering the non negative definitive property of the variance-covariance matrix of the residuals from another linear model. The basic result has a particularly simple form and is appropriate for the general linear model. It is developed using generalized inverse matrices and is therefore applicable to residuals from analyses of models with design matrices of less than full rank. One area of application of the upper bound is in the determination of exact percentage points of test statistics used to detect outliers in experiments. This is illustrated by deriving an upper bound for the second largest absolute normed residual for a particular class of designs. This upper bound may be used to show that certain percentage points of the maximum normed residual are obtainable exactly from appropriate F-distributions. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 2 van 10 gevonden artikelen
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