✦ LIBER ✦

Estimation of Fixed and Random Effects in the Functional Nonlinear Errors-in-Variable Model

✍ Scribed by Dr. P. M. Johnson; Dr. G. A. Milliken

Publisher: John Wiley and Sons
Year: 1985
Tongue: English
Weight: 398 KB
Volume: 27
Category: Article
ISSN: 0323-3847
DOI: 10.1002/bimj.4710270111

No coin nor oath required. For personal study only.

✦ Synopsis

Abatrcrct

Consider an experiment where a nonlinear continuous functional relationship exists between y and 5. Assume that this relationship haa been meaaured at n replicatad pointa of X from each of t treatmenta or populations. Assume further that the X are fixed unknown vectors and that the location parameter S is either B fixed unknown vector or a vector of random variables. In the firat case various linear hypotheees are to be tested about S, such as teats for main effects and interaction; in the second case, the mean and variance of the random variable 2 are to be estimated. A twostep procedure based on asymptotic theory is presented to test hypothesee or develop estimates for the fixed effecta or random effecta functional errors-in-variable model. An example of a one-way random effecta model is given.

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