메뉴 건너뛰기




Volumn 73, Issue 3, 2003, Pages 165-180

To be or not to be valid in testing the significance of the slope in simple quantitative linear models with autocorrelated errors

Author keywords

AR(1) errors; First differences; Fixed and trended versus random and AR(1) regressor; Least squares; Maximum likelihood; Modified t test; Restricted maximum likelihood

Indexed keywords


EID: 0037340863     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949650215866     Document Type: Article
Times cited : (14)

References (30)
  • 2
    • 0035648849 scopus 로고    scopus 로고
    • Efficiency analysis of ten estimation procedures for quantitative linear models with autocorrelated errors
    • Alpargu, G. and Dutilleul, P. (2001). Efficiency analysis of ten estimation procedures for quantitative linear models with autocorrelated errors. Journal of Statistical Computation and Simulation, 69, 257-275.
    • (2001) Journal of Statistical Computation and Simulation , vol.69 , pp. 257-275
    • Alpargu, G.1    Dutilleul, P.2
  • 3
    • 0042886015 scopus 로고    scopus 로고
    • Efficiency and validity analyses of two-stage estimation procedures and derived testing procedures in quantitative linear models with AR(1) errors
    • (in press)
    • Alpargu, G and Dutilleul, P. (2003). Efficiency and validity analyses of two-stage estimation procedures and derived testing procedures in quantitative linear models with AR(1) errors. Communications in Statistics - Simulation and Computation (in press).
    • (2003) Communications in Statistics - Simulation and Computation
    • Alpargu, G.1    Dutilleul, P.2
  • 4
    • 0012377157 scopus 로고    scopus 로고
    • Efficient estimation and valid testing for stepwise regression in mixed quantitative linear models with autocorrelated errors
    • Alpargu, G. and Dutilleul, P. Efficient estimation and valid testing for stepwise regression in mixed quantitative linear models with autocorrelated errors. Submitted to Biometrical Journal.
    • Biometrical Journal
    • Alpargu, G.1    Dutilleul, P.2
  • 5
    • 0001826397 scopus 로고
    • A maximum likelihood procedure for regression with autocorrelated errors
    • Beach, C. M. and MacKinnon, J. G. (1978). A maximum likelihood procedure for regression with autocorrelated errors. Econometrica, 46, 51-58.
    • (1978) Econometrica , vol.46 , pp. 51-58
    • Beach, C.M.1    MacKinnon, J.G.2
  • 6
    • 0000235653 scopus 로고
    • Some theorems on quadratic forms applied in the study of analysis of variance problems: I, effects of inequality of variance in the one-way classification
    • Box, G. E. P. (1954a). Some theorems on quadratic forms applied in the study of analysis of variance problems: I, effects of inequality of variance in the one-way classification. Annals of Mathematical Statistics, 25, 290-302.
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 290-302
    • Box, G.E.P.1
  • 7
    • 0000235654 scopus 로고
    • Some theorems on quadratic forms applied in the study of analysis of variance problems: II, effects of inequality of variance in the two-way classification
    • Box, G. E. P. (1954b) Some theorems on quadratic forms applied in the study of analysis of variance problems: II. effects of inequality of variance in the two-way classification. Annals of Mathematical Statistics, 25, 484-497.
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 484-497
    • Box, G.E.P.1
  • 9
  • 10
    • 0024593493 scopus 로고
    • Assessing the significance of the correlation between two spatial processes
    • Clifford, P., Richardson, S. and Hémon, D. (1989). Assessing the significance of the correlation between two spatial processes. Biometrics, 45, 123-134.
    • (1989) Biometrics , vol.45 , pp. 123-134
    • Clifford, P.1    Richardson, S.2    Hémon, D.3
  • 11
    • 0020975167 scopus 로고
    • Multiple regression in geographical mortality studies, with allowance for spatially correlated errors
    • Cook, D. G. and Pocock, S. J. (1983). Multiple regression in geographical mortality studies, with allowance for spatially correlated errors. Biometrics, 39, 361-371.
    • (1983) Biometrics , vol.39 , pp. 361-371
    • Cook, D.G.1    Pocock, S.J.2
  • 14
    • 0027286249 scopus 로고
    • Modifying the t test for assessing the correlation between two spatial processes
    • Dutilleul, P. (1993). Modifying the t test for assessing the correlation between two spatial processes. Biometrics, 49, 305-314.
    • (1993) Biometrics , vol.49 , pp. 305-314
    • Dutilleul, P.1
  • 15
    • 0002939237 scopus 로고
    • Lack of robustness in two tests of normality against autocorrelation in sample data
    • Dutilleul, P. and Legendre, P. (1992). Lack of robustness in two tests of normality against autocorrelation in sample data. Journal of Statistical Computation and Simulation, 42, 79-91.
    • (1992) Journal of Statistical Computation and Simulation , vol.42 , pp. 79-91
    • Dutilleul, P.1    Legendre, P.2
  • 18
    • 84950658629 scopus 로고
    • Conditions under which mean square ratios in repeated measurements designs have exact F-distributions
    • Huynh, H. and Feldt, S. (1970). Conditions under which mean square ratios in repeated measurements designs have exact F-distributions. Journal of the American Statistical Association, 65, 1582-1589.
    • (1970) Journal of the American Statistical Association , vol.65 , pp. 1582-1589
    • Huynh, H.1    Feldt, S.2
  • 20
    • 0000839588 scopus 로고
    • Spatial autocorrelation among errors and the relative efficiency of OLS in the linear regression model
    • Krämer, W. and Donninger, C. (1987). Spatial autocorrelation among errors and the relative efficiency of OLS in the linear regression model. Journal of the American Statistical Association, 82, 577-579.
    • (1987) Journal of the American Statistical Association , vol.82 , pp. 577-579
    • Krämer, W.1    Donninger, C.2
  • 21
    • 0000859399 scopus 로고
    • On spatial dependence, bias and the use of first spatial differences in regression analysis
    • Martin, R. L. (1974). On spatial dependence, bias and the use of first spatial differences in regression analysis. Area, 6, 185-194.
    • (1974) Area , vol.6 , pp. 185-194
    • Martin, R.L.1
  • 22
    • 0000058034 scopus 로고
    • A necessary and sufficient condition that ordinary least squares estimators be best linear unbiased
    • McElroy, F. W. (1967). A necessary and sufficient condition that ordinary least squares estimators be best linear unbiased. Journal of the American Statistical Association, 62, 1302-1304.
    • (1967) Journal of the American Statistical Association , vol.62 , pp. 1302-1304
    • McElroy, F.W.1
  • 23
    • 77956889208 scopus 로고
    • Recovery of interblock information when block sizes are unequal
    • Patterson, H. D. and Thompson, R. (1971). Recovery of interblock information when block sizes are unequal. Biometrika, 58, 545-554.
    • (1971) Biometrika , vol.58 , pp. 545-554
    • Patterson, H.D.1    Thompson, R.2
  • 24
    • 85004857164 scopus 로고
    • Comparison between treatments in a repeated-measures design: ANOVA and multivariate methods
    • Rouanet, H. and Lépine, D. (1970). Comparison between treatments in a repeated-measures design: ANOVA and multivariate methods. British Journal of Mathematical and Statistical Psychology, 23, 147-163.
    • (1970) British Journal of Mathematical and Statistical Psychology , vol.23 , pp. 147-163
    • Rouanet, H.1    Lépine, D.2
  • 25
    • 0003658935 scopus 로고    scopus 로고
    • SAS Institute Inc., Cary
    • SAS Institute Inc. (1999). SAS for Windows, Version 8, SAS Institute Inc., Cary.
    • (1999) SAS for Windows, Version 8
  • 27
    • 84950608851 scopus 로고
    • Small-sample properties of nonlinear least squares and maximum likelihood estimators in the context of autocorrelated errors
    • Spitzer, J. J. (1979). Small-sample properties of nonlinear least squares and maximum likelihood estimators in the context of autocorrelated errors. Journal of the American Statistical Association, 74, 41-47.
    • (1979) Journal of the American Statistical Association , vol.74 , pp. 41-47
    • Spitzer, J.J.1
  • 28
    • 0012460893 scopus 로고
    • A paradox in statistical estimation
    • Stuart, A. (1955). A paradox in statistical estimation. Biometrika, 42, 527-529.
    • (1955) Biometrika , vol.42 , pp. 527-529
    • Stuart, A.1
  • 29
    • 0012416766 scopus 로고
    • On the relation between estimating efficiency and the power of tests
    • Sundrum, R. M. (1954). On the relation between estimating efficiency and the power of tests. Biometrika, 41, 542-544.
    • (1954) Biometrika , vol.41 , pp. 542-544
    • Sundrum, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.