Exact tests and confidence regions in nonlinear regression

Statistics ◽  
2005 ◽  
Vol 39 (1) ◽  
pp. 13-42 ◽  
Author(s):  
C. Ittrich ◽  
W.-D. Richter
2010 ◽  
Vol 68 (7-8) ◽  
pp. 1261-1265 ◽  
Author(s):  
K.B. Lee ◽  
Jong Man Lee ◽  
Tae Soon Park ◽  
Sang Han Lee

1998 ◽  
Vol 4 (6) ◽  
pp. 443-447 ◽  
Author(s):  
P.M. Periago ◽  
S. Leontidis ◽  
P.S. Fernández ◽  
C. Rodrigo ◽  
A. Martínez

Thermobacteriological studies using Bacillus stearotherrnophilus spores were carried out by heating the spores under isothermal and non-isothermal conditions followed by an isothermal period. Ex perimental data obtained after isothermal heating were analyzed using a two-step linear regression procedure and a one-step nonlinear regression method. Results obtained using both analytical tech niques were close, but the 90% interval of confidence for predictions was lower when the one-step nonlinear regression was used. These results indicated the convenience of using the one-step nonlin ear regression method to obtain thermal kinetic parameters for bacterial spores. Also, the parameters obtained by a non-isothermal program followed by an isothermal heating period were similar to those obtained after isothermal heating. Nevertheless, the joint confidence regions at 90% did not overlap, indicating that there are significant differences. The z values obtained under isothermal (7.0 °C) and non-isothermal (8.5 °C) conditions are close and characteristic for this microorganisms.


Synthese ◽  
1977 ◽  
Vol 36 (2) ◽  
pp. 195-206 ◽  
Author(s):  
P. Martin-L�f

Technometrics ◽  
1986 ◽  
Vol 28 (2) ◽  
pp. 103-112 ◽  
Author(s):  
Jeffrey S. Simonoff ◽  
Chih-Ling Tsai

2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Lubomír Kubáček ◽  
Gejza Wimmer

AbstractThere are several ways how to redefine the Bates and Watts curvatures in models with constraints. One of possible approaches is based on a reparametrization of models. It enables us to construct linearization regions for the bias of parameter estimators, for the confidence regions, etc., in an easy way.


Sign in / Sign up

Export Citation Format

Share Document