References
- Bagheri , A. , Midi , H. and Imon , A. H.M.R. 2010 . The effect of collinearity–influential observations on collinear data set: A Monte Carlo simulation study . J. Appl. Sci. , 10 ( 18 ) : 2086 – 2093 . (doi:10.3923/jas.2010.2086.2093)
- Belsley , D. A. , Kuh , E. and Welsch , R. E. 1980 . Regression Diagnostics: Identifying Data and Sources of Collinearity , New Jersey : John Wiley & Sons .
- Brown , G. C. and Lawrance , A. J. 2000 . Theory and illustration of regression influence diagnostics . Commun. Stat. Theory Methods , 29 ( 9 and 10 ) : 2079 – 2107 .
- Chatterjee , S. and Hadi , A. S. 1986 . Influential observations, high leverage points, and outliers in linear regression . Stat. Sci. , 1 ( 3 ) : 379 – 416 . (doi:10.1214/ss/1177013622)
- Cook , R. D. 1977 . Detection of influential observation in linear regression . Technometrics , 19 ( 1 ) : 15 – 18 . (doi:10.2307/1268249)
- Cook , R. D. 1986 . Assessment of local influence . J. R. Stat. Soc. B , 48 ( 2 ) : 133 – 169 .
- Cook , R. D. , Pena , D. and Weisberg , S. 1988 . The likelihood displacement: A unifying principle for influence measures . Commun. Stat. Theory Methods , 17 ( 3 ) : 623 – 640 . (doi:10.1080/03610928808829645)
- Cook , R. D. and Weisberg , S. 1982 . Residuals and Influence in Regression , New York : Chapman and Hall .
- Gray , J. B. and Woodall , W. H. 1994 . The maximum size of standardized and internally studentized residuals in regression analysis . Am. Stat. , 48 ( 2 ) : 111 – 113 .
- Gruber , M. H.J. 2010 . Regression Estimators: A Comparative Study , 2 , Baltimore , MD : John Hopkins University Press .
- Gruber , M. H.J. 2012 . Liu and ridge estimators: A comparison . Commun. Stat. Theory Methods , 41 : 3739 – 3749 . (doi:10.1080/03610926.2011.563018)
- Hample , F. R. 1974 . The influence curve and its role in robust estimation . J. Am. Stat. Assoc. , 69 ( 346 ) : 383 – 393 . (doi:10.1080/01621459.1974.10482962)
- Hoerl , A. E. and Kennard , R. W. 1970 . Ridge regression: Biased estimation for nonorthogonal problems . Technometrics , 12 ( 1 ) : 55 – 67 . (doi:10.1080/00401706.1970.10488634)
- Imon , A. H.M.R. 2005 . Identifying multiple influential observations in linear regression . J. Appl. Stat. , 32 ( 9 ) : 929 – 946 . (doi:10.1080/02664760500163599)
- Jahufer , A. and Jianbao , C. 2009 . Assessing global influential observations in modified ridge regression . Stat. Probab. Lett. , 79 : 513 – 518 . (doi:10.1016/j.spl.2008.09.019)
- Liu , K. 1993 . A new class of biased estimate in linear regression . Commun. Stat. Theory Methods , 22 ( 2 ) : 393 – 402 . (doi:10.1080/03610929308831027)
- Liu , K. 2003 . Using Liu-type estimator to combat collinearity . Commun. Stat. Theory Methods , 32 ( 5 ) : 1009 – 1020 . (doi:10.1081/STA-120019959)
- Liu , K. 2004 . More on Liu-type estimator in linear regression . Commun. Stat. Theory Methods , 33 ( 11 ) : 2723 – 2733 . (doi:10.1081/STA-200037930)
- Longley , J. W. 1967 . An appraisal of least squares programs for the electronic computer from the point of view of the user . J. Am. Stat. Assoc. , 62 : 819 – 841 . (doi:10.1080/01621459.1967.10500896)
- Mason , R. L. and Gunst , R. F. 1985 . Outlier-induced collinearities . Technometrics , 27 ( 4 ) : 401 – 407 . (doi:10.1080/00401706.1985.10488079)
- Massy , W. F. 1965 . Principal components regression in explanatory statistical research . J. Am. Stat. Assoc. , 60 : 234 – 256 . (doi:10.1080/01621459.1965.10480787)
- Mayer , L. S. and Willke , T. A. 1973 . On biased estimation in linear models . Technometrics , 15 : 497 – 508 . (doi:10.1080/00401706.1973.10489076)
- Meloun , M. and Militky , J. 2001 . Detection of single influential points in OLS regression model building . Anal. Chim. , 439 : 169 – 191 . (doi:10.1016/S0003-2670(01)01040-6)
- Nurunnabi , A. A.M. , Imon , A. H.M.R. and Nasser , M. 2011 . A diagnostic measure for influential observations in linear regression . Commun. Stat. Theory Methods , 40 : 1169 – 1183 . (doi:10.1080/03610920903564727)
- Özkale , M. R. and Kaçıranlar , S. 2007 . The restricted and unrestricted two parameter estimators . Commun. Stat. Theory Methods , 36 ( 15 ) : 2707 – 2725 . (doi:10.1080/03610920701386877)
- Pena , D. 2005 . A new statistic for influence in linear regression . Technometrics , 47 ( 1 ) : 1 – 12 . (doi:10.1198/004017004000000662)
- Prescott , P. 1975 . An estimate test for outliers in linear models . Technometrics , 17 ( 1 ) : 129 – 132 . (doi:10.1080/00401706.1975.10489282)
- Schützenmeister , A. , Jensen , U. and Piepho , H. P. 2012 . Checking normality and homoscedasticity in the general linear model using diagnostic plots . Commun. Stat. Simul. Comput. , 41 : 141 – 154 . (doi:10.1080/03610918.2011.582560)
- Shen , Q. and Xu , H. 2007 . Diagnostics for linear models with functional responses . Technometrics , 49 ( 1 ) : 26 – 33 . (doi:10.1198/004017006000000444)
- Shi , L. and Wang , X. 1999 . Local influence in ridge regression . Comput. Stat. Data Anal. , 31 : 341 – 353 . (doi:10.1016/S0167-9473(99)00019-5)
- Smith , G. and Champbell , F. 1980 . A critique of some ridge regression methods . J. Am. Stat. Assoc. , 75 ( 369 ) : 74 – 103 . (doi:10.1080/01621459.1980.10477428)
- Swindel , B. F. 1976 . Good ridge estimators based on prior information . Commun. Stat. Theory Methods , A5 ( 11 ) : 1065 – 1075 .
- Theil , H. 1963 . On the use of incomplete prior information in regression analysis . J. Am. Stat. Assoc. , 58 ( 302 ) : 401 – 414 . (doi:10.1080/01621459.1963.10500854)
- Theil , H. and Goldberger , A. S. 1961 . On pure and mixed statistical estimation in economics . Int. Econ. Rev. , 2 ( 1 ) : 65 – 78 . (doi:10.2307/2525589)
- Tripp , R. E. 1983 . Nonstochastic ridge regression and effective rank of the regressors matrix , Dept. of Statistics, Virginia Polytechnic Institute and State University . Unpublished Ph.D. diss.
- Türkan , S. and Toktamış , Ö. 2012 . Detection of influential observations in ridge regression and modified ridge regression . Model Assist. Stat. Appl. , 7 : 91 – 97 .
- Walker , E. and Birch , J. B. 1988 . Influence measures in ridge regression . Technometrics , 30 ( 2 ) : 221 – 227 . (doi:10.1080/00401706.1988.10488370)
- Walker , E. and Birch , J. B. 1988 . Correction . Technometrics , 30 ( 4 ) : 469 – 469 .