Simultaneous Confidence Intervals for Parameters of a Balanced Incomplete Block

Autor:	D. E. Bee, L. D. Broemeling
Rok vydání:	1976
Předmět:	Statistics and Probability Algebraic formula for the variance Statistics Linear model Contrast (statistics) Analysis of variance Variance (accounting) Statistics Probability and Uncertainty Confidence interval Sufficient statistic Mathematics Variance function
Zdroj:	Journal of the American Statistical Association. 71:425-428
ISSN:	1537-274X 0162-1459
DOI:	10.1080/01621459.1976.10480363
Popis:	Inferences concerning the variance ratios of a random linear model are important in genetics and other areas of scientific investigation. For example, in genetics, the heritability parameters are functions of the variance ratios of a random model. This paper derives simultaneous confidence intervals for all or certain subsets of the parameters of a balanced incomplete random model. This procedure is based on the mean squares of the analysis of variance, and the mean squares are linear functions of a set of minimal sufficient statistics for estimating the parameters of the model. The procedure is demonstrated for a layout of six treatments, ten blocks, and five observations per block.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::918d20b35324e19001a89fe63a72c37a https://doi.org/10.1080/01621459.1976.10480363 Zobrazit plný text záznamu