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Volumn 16, Issue 12, 1997, Pages 1357-1376

Using smoothing spline anova to examine the relation of risk factors to the incidence and progression of diabetic retinopathy

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DIABETIC RETINOPATHY; DISEASE COURSE; HUMAN; INCIDENCE; RISK FACTOR; STATISTICAL ANALYSIS; TECHNIQUE;

EID: 0030861088     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19970630)16:12<1357::AID-SIM563>3.0.CO;2-X     Document Type: Article
Times cited : (17)

References (38)
  • 2
    • 0041865172 scopus 로고
    • Smoothing spline ANOVA for exponential families, with application to the Wisconsin Epidemiological Study of Diabetic Retinopathy
    • Wahba, G., Wang, Y., Gu, C., Klein, R. and Klein, B. 'Smoothing spline ANOVA for exponential families, with application to the Wisconsin Epidemiological Study of Diabetic Retinopathy', Annals of Statistics, 23, 1865-1895 (1995).
    • (1995) Annals of Statistics , vol.23 , pp. 1865-1895
    • Wahba, G.1    Wang, Y.2    Gu, C.3    Klein, R.4    Klein, B.5
  • 3
    • 0002032866 scopus 로고
    • GRKPACK: Fitting smoothing spline analysis of variance models to data from exponential families
    • Technical Report 942, Department of Statistics, University of Wisconsin, Madison, WI, to appear
    • Wang, Y. 'GRKPACK: Fitting smoothing spline analysis of variance models to data from exponential families', Technical Report 942, Department of Statistics, University of Wisconsin, Madison, WI, 1995, to appear, Communications in Statistics - Simulation and Computation.
    • (1995) Communications in Statistics - Simulation and Computation
    • Wang, Y.1
  • 6
    • 0000279744 scopus 로고
    • Semiparametric analysis of variance with tensor product thin plate splines
    • Gu, C. and Wahba, G. 'Semiparametric analysis of variance with tensor product thin plate splines', Journal of the Royal Statistical Society, Series B, 55, 353-368 (1993).
    • (1993) Journal of the Royal Statistical Society, Series B , vol.55 , pp. 353-368
    • Gu, C.1    Wahba, G.2
  • 7
    • 80053096906 scopus 로고
    • Smoothing spline ANOVA with component-wise Bayesian "confidence intervals"
    • Gu, C. and Wahba, G. 'Smoothing spline ANOVA with component-wise Bayesian "confidence intervals"', Journal of Computational and Graphical Statistics, 2, 97-117 (1993).
    • (1993) Journal of Computational and Graphical Statistics , vol.2 , pp. 97-117
    • Gu, C.1    Wahba, G.2
  • 11
    • 1842323397 scopus 로고
    • SIAM, CBMS-NSF Regional Conference Series in Applied Mathematics
    • Wahba, G. Spline Models for Observational Data, SIAM, CBMS-NSF Regional Conference Series in Applied Mathematics, v. 59, 1990.
    • (1990) Spline Models for Observational Data , vol.59
    • Wahba, G.1
  • 12
    • 0011564879 scopus 로고
    • Comments to "Multivariate adpative regression splines", by J. Friedman
    • Gu, C. and Wahba, G. 'Comments to "Multivariate adpative regression splines", by J. Friedman', Annals of Statistics, 19, 115-123 (1991).
    • (1991) Annals of Statistics , vol.19 , pp. 115-123
    • Gu, C.1    Wahba, G.2
  • 14
    • 0038182887 scopus 로고
    • Partial and interaction splines for the semiparametric estimation of functions of several variables
    • Boardman, T. (ed), American Statistical Association, Washington, DC
    • Wahba, G. 'Partial and interaction splines for the semiparametric estimation of functions of several variables', in Boardman, T. (ed), Computer Science and Statistics: Proceedings of the 18th Symposium, American Statistical Association, Washington, DC, 1986, pp. 75-80.
    • (1986) Computer Science and Statistics: Proceedings of the 18th Symposium , pp. 75-80
    • Wahba, G.1
  • 15
    • 0001068677 scopus 로고
    • Adaptive spline smoothing in non-Gaussian regression models
    • Gu, C. 'Adaptive spline smoothing in non-Gaussian regression models', Journal of the American Statistical Association, 85, 801-807 (1990).
    • (1990) Journal of the American Statistical Association , vol.85 , pp. 801-807
    • Gu, C.1
  • 17
    • 0002515748 scopus 로고
    • The computation of GCV functions through householder tridiagonalization with application to the fitting of interaction spline models
    • Gu, C., Bates, D. M., Chen, Z. and Wahba, G. 'The computation of GCV functions through householder tridiagonalization with application to the fitting of interaction spline models', SIAM Journal on Matrix Analysis, 10, 457-480 (1989).
    • (1989) SIAM Journal on Matrix Analysis , vol.10 , pp. 457-480
    • Gu, C.1    Bates, D.M.2    Chen, Z.3    Wahba, G.4
  • 18
    • 0001003992 scopus 로고
    • Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method
    • Gu, C. and Wahba, G. 'Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method', Journal of Scientific and Statistical Computing, 12, 383-398 (1991).
    • (1991) Journal of Scientific and Statistical Computing , vol.12 , pp. 383-398
    • Gu, C.1    Wahba, G.2
  • 20
    • 0000290423 scopus 로고
    • Soft classification, a. k. a. risk estimation, via penalized log likelihood and smoothing spline analysis of variance
    • Wolpert, D. (ed), Addison-Wesley, Reading, MA
    • Wahba, G., Gu, C., Wang, Y. and Chappell R. 'Soft classification, a. k. a. risk estimation, via penalized log likelihood and smoothing spline analysis of variance', in Wolpert, D. (ed), The Mathematics of Generalization, Santa Fe Institute Studies in the Sciences of Complexity, Proc. Vol. XX, Addison-Wesley, Reading, MA, 1995, pp. 329-360.
    • (1995) The Mathematics of Generalization, Santa Fe Institute Studies in the Sciences of Complexity, Proc. , vol.20 , pp. 329-360
    • Wahba, G.1    Gu, C.2    Wang, Y.3    Chappell, R.4
  • 21
    • 0348076968 scopus 로고
    • Simulation studies of smoothing parameter estimates and Bayesian confidence intervals in Bernoulli SS-ANOVA models
    • Wang, Y., Wahba, G., Chappell, R. and Gu, C. 'Simulation studies of smoothing parameter estimates and Bayesian confidence intervals in Bernoulli SS-ANOVA models', Communications in Statistics -Simulation and Computation, 24, 1037-1059 (1995).
    • (1995) Communications in Statistics -Simulation and Computation , vol.24 , pp. 1037-1059
    • Wang, Y.1    Wahba, G.2    Chappell, R.3    Gu, C.4
  • 22
    • 0002219809 scopus 로고
    • Technical Report 356, Department of Statistics, University of Chicago, Chicago, I1
    • Wong, W. 'Estimation of the loss of an estimate', Technical Report 356, Department of Statistics, University of Chicago, Chicago, I1, 1992.
    • (1992) Estimation of the Loss of an Estimate
    • Wong, W.1
  • 23
    • 21444449622 scopus 로고    scopus 로고
    • A generalized approximate cross validation for smoothing splines with non-Gaussian data
    • Xiang, D. and Wahba, G. 'A generalized approximate cross validation for smoothing splines with non-Gaussian data', Statistica Sinica, 6, 675-692 (1996).
    • (1996) Statistica Sinica , vol.6 , pp. 675-692
    • Xiang, D.1    Wahba, G.2
  • 24
    • 1842352337 scopus 로고
    • Algorithms for nonlinear generalized cross-validation
    • Boardman, T. J. (ed), American Statistical Association, Washington, DC
    • Yandell, B. 'Algorithms for nonlinear generalized cross-validation', in Boardman, T. J. (ed), Computer Science and Statistics: 18th Symposium on the Interface, American Statistical Association, Washington, DC, 1986.
    • (1986) Computer Science and Statistics: 18th Symposium on the Interface
    • Yandell, B.1
  • 25
    • 0000939344 scopus 로고
    • Bayesian "confidence intervals" for the cross-validated smoothing spline
    • Wahba, G. 'Bayesian "confidence intervals" for the cross-validated smoothing spline', Journal of the Royal Statistical Society, Series B, 45, 133-150 (1983).
    • (1983) Journal of the Royal Statistical Society, Series B , vol.45 , pp. 133-150
    • Wahba, G.1
  • 26
    • 0000506506 scopus 로고
    • Penalized likelihood regression: A Bayesian analysis
    • Gu, C. 'Penalized likelihood regression: a Bayesian analysis', Statistica Sinica, 2, 255-264 (1992).
    • (1992) Statistica Sinica , vol.2 , pp. 255-264
    • Gu, C.1
  • 28
    • 0024456469 scopus 로고
    • Is blood pressure a predicator of the incidence or progression of diabetic retinopathy
    • Klein, R., Klein, B. E. K., Moss, S. E., Davis, M. D. and DeMets, D. L. 'Is blood pressure a predicator of the incidence or progression of diabetic retinopathy', Archives of Internal Medicine, 149, 2427-2432 (1989).
    • (1989) Archives of Internal Medicine , vol.149 , pp. 2427-2432
    • Klein, R.1    Klein, B.E.K.2    Moss, S.E.3    Davis, M.D.4    DeMets, D.L.5
  • 30
    • 0028063014 scopus 로고
    • The relationship of hyperglycemia of long-term incidence of progression of diabetic retinopathy
    • Klein, R., Klein, B. E. K., Moss, S. E. and Cruickshanks, K. J. 'The relationship of hyperglycemia of long-term incidence of progression of diabetic retinopathy', Archives of Internal Medicine, 154, 2169-2178 (1994).
    • (1994) Archives of Internal Medicine , vol.154 , pp. 2169-2178
    • Klein, R.1    Klein, B.E.K.2    Moss, S.E.3    Cruickshanks, K.J.4
  • 31
    • 0028076222 scopus 로고
    • The Wisconsin Epidemiologic Study of Diabetic Retinopathy. XIV. Ten year incidence and progression of diabetic retinopathy
    • Klein, R., Klein, B. E. K., Moss, S. E. and Cruickshanks, K. J. 'The Wisconsin Epidemiologic Study of Diabetic Retinopathy. XIV. Ten year incidence and progression of diabetic retinopathy', Archives of Ophthalmology, 112, 1217-1228 (1994).
    • (1994) Archives of Ophthalmology , vol.112 , pp. 1217-1228
    • Klein, R.1    Klein, B.E.K.2    Moss, S.E.3    Cruickshanks, K.J.4
  • 32
    • 0021136256 scopus 로고
    • The Wisconsin Epidemiologic Study of Diabetic Retinopathy. II. Prevalence and risk of diabetic retinopathy when age at diagnosis is less than 30 years
    • Klein, R., Klein, B. E. K., Moss, S. E., Davis, M. D. and DeMets, D. L. 'The Wisconsin Epidemiologic Study of Diabetic Retinopathy. II. Prevalence and risk of diabetic retinopathy when age at diagnosis is less than 30 years', Archieves of Ophthalmology, 102, 520-526 (1984).
    • (1984) Archieves of Ophthalmology , vol.102 , pp. 520-526
    • Klein, R.1    Klein, B.E.K.2    Moss, S.E.3    Davis, M.D.4    DeMets, D.L.5
  • 33
    • 0021191759 scopus 로고
    • The Wisconsin Epidemiologic Study of Diabetic Retinopathy. III. Prevalence and risk of diabetic retinopathy when age at diagnosis is 30 or more years
    • Klein, R., Klein, B. E. K., Moss, S. E., Davis, M. D. and DeMets, D. L. 'The Wisconsin Epidemiologic Study of Diabetic Retinopathy. III. Prevalence and risk of diabetic retinopathy when age at diagnosis is 30 or more years', Archives of Ophthalmology, 102, 527-532 (1984).
    • (1984) Archives of Ophthalmology , vol.102 , pp. 527-532
    • Klein, R.1    Klein, B.E.K.2    Moss, S.E.3    Davis, M.D.4    DeMets, D.L.5
  • 34
    • 0024537989 scopus 로고
    • The Wisconsin Epidemiologic Study of Diabetic Retinopathy. IX. Four year incidence and progression of diabetic retinopathy when age at diagnosis is less than 30 years
    • Klein, R., Klein, B. E. K., Moss, S. E., Davis, M. D. and DeMets, D. L. 'The Wisconsin Epidemiologic Study of Diabetic Retinopathy. IX. Four year incidence and progression of diabetic retinopathy when age at diagnosis is less than 30 years', Archives of Ophthalmology, 107, 237-243 (1989).
    • (1989) Archives of Ophthalmology , vol.107 , pp. 237-243
    • Klein, R.1    Klein, B.E.K.2    Moss, S.E.3    Davis, M.D.4    DeMets, D.L.5
  • 35
    • 0024581628 scopus 로고
    • The Wisconsin Epidemiologic Study of Diabetic Retinopathy, X. Four incidence and progression of diabetic retinopathy when age at diagnosis is 30 or more years
    • Klein, R., Klein, B. E. K., Moss, S. E., Davis, M. D. and DeMets, D. L. 'The Wisconsin Epidemiologic Study of Diabetic Retinopathy, X. Four incidence and progression of diabetic retinopathy when age at diagnosis is 30 or more years', Archives of Ophthalmology, 107, 244-249 (1989).
    • (1989) Archives of Ophthalmology , vol.107 , pp. 244-249
    • Klein, R.1    Klein, B.E.K.2    Moss, S.E.3    Davis, M.D.4    DeMets, D.L.5
  • 36
    • 0027988548 scopus 로고
    • The association of glycemia and cause-specific mortality in a diabetic population
    • Moss, S. E., Klein, R., Klein, B. E. K., Meuer, S. M. 'The association of glycemia and cause-specific mortality in a diabetic population', Archives of Internal Medicine, 154, 2473-2479 (1994).
    • (1994) Archives of Internal Medicine , vol.154 , pp. 2473-2479
    • Moss, S.E.1    Klein, R.2    Klein, B.E.K.3    Meuer, S.M.4
  • 37
    • 0000999621 scopus 로고
    • Some diagnostics for binary logistic regression via smoothing
    • Fowlkes, E. B. 'Some diagnostics for binary logistic regression via smoothing', Biometrika, 74, 503-515 (1987).
    • (1987) Biometrika , vol.74 , pp. 503-515
    • Fowlkes, E.B.1
  • 38
    • 1842281289 scopus 로고    scopus 로고
    • Odds ratio estimation in Bernoulli smoothing spline ANOVA model
    • Technical Report 946, University of Wisconsin-Madison, Department of Statistics, to appear
    • Wang, Y. 'Odds ratio estimation in Bernoulli smoothing spline ANOVA model', Technical Report 946, University of Wisconsin-Madison, Department of Statistics, 1996, to appear, The Statistician.
    • (1996) The Statistician
    • Wang, Y.1


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