| Автор | Gilroy, E. J. |
| Дата выпуска | 1970 |
| dc.description | A sample of size n<sub>1</sub> of a normal random variable y is augmented by n<sub>2</sub> regression estimates obtained from p other random variables which, along with y, follow a (p + 1) dimensional normal probability law. The sampling variance of s<sub>y</sub><sup>2</sup>, the estimate of the variance of y obtained from the augmented sample, is derived. The relative reliability of s<sub>y</sub><sup>2</sup> and s<sub>y</sub><sup>2</sup> (n<sub>1</sub>), the variance estimate based on the original n<sub>1</sub> observations, is found to depend on n<sub>1</sub>, n<sub>2</sub>, p, and R, the multiple correlation between y and the remaining p variables. |
| Формат | application.pdf |
| Копирайт | Copyright 1970 by the American Geophysical Union. |
| Название | Reliability of a Variance Estimate Obtained from a Sample Augmented by Multivariate Regression |
| Тип | article |
| DOI | 10.1029/WR006i006p01595 |
| Electronic ISSN | 1944-7973 |
| Print ISSN | 0043-1397 |
| Журнал | Water Resources Research |
| Том | 6 |
| Первая страница | 1595 |
| Последняя страница | 1600 |
| Выпуск | 6 |
| Библиографическая ссылка | Anderson, T. W., An Introduction to Multivariate Statistical Analysischap. 5, John Wiley, New York, 1958. |
| Библиографическая ссылка | Fiering, M. B., On the use of correlation to augment data, J. Amer. Statist. Ass., 57297, 20–32, 1962. |
| Библиографическая ссылка | Matalas, N. C., BarbaraJacobs, A correlation procedure for augmenting hydrologic data, U.S. Geol. Surv. Prof. Pap., 434‐E, 1964. |
