TY  - BOOK
AU  - Rowaida Ali Abedalbary 
AU  - Ahmed Amin Elsheikh , 
AU  - Elhoussainy Abdelbar Rady , 
TI  - A Comparative study of lack-of- fit Tests  In general linear models / 
PY  - 2016///
CY  - Cairo : 
PB  - Rowaida Ali Abedalbary , 
KW  - General Linear Models
KW  - Lack-of-fit tests
KW  - Statistics and econometrics
N1  - Thesis (M.Sc.) - Cairo University - Institute of Statistical Studies and Research - Department of Statistics and Econometrics; Issued also as CD
N2  - This thesis is concerned mainly with lack of fit tests. A presentation of  existing tests is given. All mentioned tests in the literature is going to be  reviewed. This thesis contributes in two directions.  First, we introduced local linear kernel estimator by assuming that the  third derivative of the regression function exists then, approximating the regre- ssion function locally by using a second-degree polynomial for Li (2005) test.  Secondly, a comparative study between two non replicated lack of fit  tests called the Rainbow (1982) and Burn and Ryan (1983) tests will be  considered by using R language. The two tests are compared with various  parameters and data generating for different types of alternative one-variable  models. The comparative will be depend on the second and the third order of  polynomial models containing the case of hierarchical models with (without)  constant, also the case of non hierarchical models. In addition to three different  types of sinusoidal models. For third order polynomial models, the case to fit  the highest degree of the models, and to fit the second degree of the models  will be introduced. The comparative study is depending on normal distributions  of the errors with different parameters. The power of the tests will be used as  the criterion to evaluate the performance of the tests and based on 5000  simulated. The simulation studies indicate that the best power of the Rainbow  (1982) and Burn and Ryan (1983) tests for polynomial models, when fitting the  highest degree of the model.
UR  - http://172.23.153.220/th.pdf
ER  -