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Volumn 87, Issue 2, 2000, Pages 317-345

Noncanonical links in generalized linear models - when is the effort justified?

Author keywords

62F03; 62F04; 62J12; Generalized linear models; Goodness of link tests; Link function; Logistic regression; Model validation and discrimination; Overdispersion; p value curve; Parametric links

Indexed keywords


EID: 0042916377     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(99)00195-0     Document Type: Article
Times cited : (25)

References (46)
  • 1
    • 0001444996 scopus 로고
    • On two families of transformations to additivity for binary response data
    • Aranda-Ordaz F.J. On two families of transformations to additivity for binary response data. Biometrika. 68:1981;357-364.
    • (1981) Biometrika , vol.68 , pp. 357-364
    • Aranda-Ordaz, F.J.1
  • 2
    • 0002042574 scopus 로고
    • Regression diagnostics, transformations and constructed variables (with discussion)
    • Atkinson A.C. Regression diagnostics, transformations and constructed variables (with discussion). J. Roy. Statist. Soc. Ser. B. 44:1982;1-36.
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 1-36
    • Atkinson, A.C.1
  • 4
    • 84921386393 scopus 로고
    • Reconcilling Bayesian and Frequentist evidence in the one-sided testing problem
    • Casella G., Berger R.L. Reconcilling Bayesian and Frequentist evidence in the one-sided testing problem. J. Amer. Statist. Assoc. 82:1987;106-111.
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 106-111
    • Casella, G.1    Berger, R.L.2
  • 6
    • 0017338666 scopus 로고
    • Quantity analysis: A quantal assay refinement
    • Copenhaver T.W., Mielke P.W. Quantity analysis: a quantal assay refinement. Biometrics. 33:1977;175-186.
    • (1977) Biometrics , vol.33 , pp. 175-186
    • Copenhaver, T.W.1    Mielke, P.W.2
  • 7
    • 0002738159 scopus 로고
    • Parameter orthogonality and approximate conditional inference
    • Cox D.R., Reid N. Parameter orthogonality and approximate conditional inference. J. Roy. Statist. Soc. (B). 49:1987;1-39.
    • (1987) J. Roy. Statist. Soc. (B) , vol.49 , pp. 1-39
    • Cox, D.R.1    Reid, N.2
  • 8
    • 0010812933 scopus 로고
    • On link selection in generalized linear models
    • In: Fahrmein, L., Francis, B., Gilchrist, R., Tutz, G. (Eds.), Springer, New York
    • Czado, C., 1992. On link selection in generalized linear models. In: Fahrmein, L., Francis, B., Gilchrist, R., Tutz, G. (Eds.), Advances in GLIM and Statistical Modelling, Lecture Notes in Statistics, vol. 78. Springer, New York.
    • (1992) Advances in GLIM and Statistical Modelling, Lecture Notes in Statistics , vol.78
    • Czado, C.1
  • 9
    • 0031591313 scopus 로고    scopus 로고
    • On selecting parametric link transformation families in generalized linear models
    • Czado C. On selecting parametric link transformation families in generalized linear models. J. Statist. Plann. Inference. 61:1997;125-141.
    • (1997) J. Statist. Plann. Inference , vol.61 , pp. 125-141
    • Czado, C.1
  • 10
    • 0032223376 scopus 로고    scopus 로고
    • Assessing the similarity of distributions - finite sample performance of the empirical Mallows distance
    • Czado C., Munk A. Assessing the similarity of distributions - finite sample performance of the empirical Mallows distance. J. Statist. Comput. Simulation. 60:1998;319-346.
    • (1998) J. Statist. Comput. Simulation , vol.60 , pp. 319-346
    • Czado, C.1    Munk, A.2
  • 11
    • 38249010069 scopus 로고
    • The effect of link misspecification on binary regression inference
    • Czado C., Santner T.J. The effect of link misspecification on binary regression inference. J. Statist. Plann. Inference. 33:1992;213-231.
    • (1992) J. Statist. Plann. Inference , vol.33 , pp. 213-231
    • Czado, C.1    Santner, T.J.2
  • 13
    • 0040606893 scopus 로고
    • Testing for overdispersion in Poisson and binomial regression models
    • Dean C.B. Testing for overdispersion in Poisson and binomial regression models. J. Amer. Statist. Assoc. 87:1992;451-457.
    • (1992) J. Amer. Statist. Assoc. , vol.87 , pp. 451-457
    • Dean, C.B.1
  • 14
    • 0011694919 scopus 로고
    • Lower bounds for Bayes factors for interval null hypotheses
    • Delampady M. Lower bounds for Bayes factors for interval null hypotheses. J. Amer. Statist. Assoc. 84:1989;120-124.
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 120-124
    • Delampady, M.1
  • 15
    • 0032344431 scopus 로고    scopus 로고
    • Validation of linear regression models
    • Dette H., Munk A. Validation of linear regression models. Ann. Statist. 26:1998;778-800.
    • (1998) Ann. Statist. , vol.26 , pp. 778-800
    • Dette, H.1    Munk, A.2
  • 16
    • 7844245425 scopus 로고    scopus 로고
    • A simple goodness of fit test for linear models under a random design assumption
    • Dette H., Munk A. A simple goodness of fit test for linear models under a random design assumption. Ann. Inst. Statist. Math. 50:1998;253-275.
    • (1998) Ann. Inst. Statist. Math. , vol.50 , pp. 253-275
    • Dette, H.1    Munk, A.2
  • 17
    • 0001241028 scopus 로고
    • Consistency and asymptotic normality of the maximum likelihood estimator in generalized linear models
    • Fahrmeir, L., Kaufmann, H., 1985. Consistency and asymptotic normality of the maximum likelihood estimator in generalized linear models. Ann. Statist. 13, 342-368 (Correction: Ann. Statist. 14, 1643).
    • (1985) Ann. Statist. , vol.13 , pp. 342-368
    • Fahrmeir, L.1    Kaufmann, H.2
  • 18
    • 0042604949 scopus 로고
    • Correction
    • Fahrmeir, L., Kaufmann, H., 1985. Consistency and asymptotic normality of the maximum likelihood estimator in generalized linear models. Ann. Statist. 13, 342-368 (Correction: Ann. Statist. 14, 1643).
    • (1643) Ann. Statist. , vol.14
  • 19
    • 0000497227 scopus 로고
    • Use of the Box-Cox transformation with binary response models
    • Guerrero V.M., Johnson R.A. Use of the Box-Cox transformation with binary response models. Biometrika. 69:1982;309-314.
    • (1982) Biometrika , vol.69 , pp. 309-314
    • Guerrero, V.M.1    Johnson, R.A.2
  • 20
    • 0043005476 scopus 로고    scopus 로고
    • Discussion of: Bioequivalence trials, intersection union tests and equivalence confidence sets (by Berger, R.L., Hsu, J.C.)
    • Hauck W.W., Anderson S. Discussion of: Bioequivalence trials, intersection union tests and equivalence confidence sets (by Berger, R.L., Hsu, J.C.). Statist. Sci. 11:1996;283-319.
    • (1996) Statist. Sci. , vol.11 , pp. 283-319
    • Hauck, W.W.1    Anderson, S.2
  • 22
    • 84988052086 scopus 로고
    • Negative binomial and mixed Poisson regression
    • Lawless J.F. Negative binomial and mixed Poisson regression. Canad. J. Statist. 15:1987;209-225.
    • (1987) Canad. J. Statist. , vol.15 , pp. 209-225
    • Lawless, J.F.1
  • 23
    • 84985610024 scopus 로고
    • Diagnostic displays for assessing leverage and influence in generalized linear models
    • Lee A.H. Diagnostic displays for assessing leverage and influence in generalized linear models. Austral. J. Statist. 29:1987;233-243.
    • (1987) Austral. J. Statist. , vol.29 , pp. 233-243
    • Lee, A.H.1
  • 24
    • 0023889091 scopus 로고
    • Assessing partial influence in generalized linear models
    • Lee A.H. Assessing partial influence in generalized linear models. Biometrics. 44:1988;71-77.
    • (1988) Biometrics , vol.44 , pp. 71-77
    • Lee, A.H.1
  • 26
    • 0041295297 scopus 로고
    • Improved added variable and partial residual plots for the detection of influential observations in generalized linear models
    • O'Hara Hines R.J., Carter E.M. Improved added variable and partial residual plots for the detection of influential observations in generalized linear models. Appl. Statist. 42:1993;3-20.
    • (1993) Appl. Statist. , vol.42 , pp. 3-20
    • O'Hara Hines, R.J.1    Carter, E.M.2
  • 28
    • 0000698850 scopus 로고
    • Model specification tests and artificial regressions
    • MacKinnon J.G. Model specification tests and artificial regressions. J. Econom. Lit. 30:1992;102-146.
    • (1992) J. Econom. Lit. , vol.30 , pp. 102-146
    • MacKinnon, J.G.1
  • 29
    • 0013947842 scopus 로고
    • Age at menarche in Warsaw girls in 1965
    • Milicer H., Szczotka F. Age at menarche in Warsaw girls in 1965. Hum. Biol. 38:1966;199-203.
    • (1966) Hum. Biol. , vol.38 , pp. 199-203
    • Milicer, H.1    Szczotka, F.2
  • 30
    • 0042604950 scopus 로고
    • Observations on quantit analysis
    • Morgan B.J.T. Observations on quantit analysis. Biometrics. 39:1983;879-886.
    • (1983) Biometrics , vol.39 , pp. 879-886
    • Morgan, B.J.T.1
  • 31
    • 0000062208 scopus 로고    scopus 로고
    • Nonparametric validation of similar distributions and assessment of goodness of fit
    • Munk A., Czado C. Nonparametric validation of similar distributions and assessment of goodness of fit. J. Roy. Statist. Soc. B. 60:1998;223-241.
    • (1998) J. Roy. Statist. Soc. B , vol.60 , pp. 223-241
    • Munk, A.1    Czado, C.2
  • 32
    • 0032235630 scopus 로고    scopus 로고
    • Nonparametric comparison of several regression functions: Exact and asymptotic theory
    • Munk A., Dette H. Nonparametric comparison of several regression functions: exact and asymptotic theory. Ann. Statist. 26:1998;2339-2368.
    • (1998) Ann. Statist. , vol.26 , pp. 2339-2368
    • Munk, A.1    Dette, H.2
  • 35
    • 0009093765 scopus 로고
    • Bayesian interpretation of standard inference statements (with discussion)
    • Pratt J.W. Bayesian interpretation of standard inference statements (with discussion). J. Roy. Statist. Soc. Ser. B. 27:1965;169-203.
    • (1965) J. Roy. Statist. Soc. Ser. B , vol.27 , pp. 169-203
    • Pratt, J.W.1
  • 36
    • 0001872828 scopus 로고
    • Goodness of link tests for generalized linear models
    • Pregibon D. Goodness of link tests for generalized linear models. J. Roy. Statist. Soc. Ser. C. 29:1980;15-24.
    • (1980) J. Roy. Statist. Soc. Ser. C , vol.29 , pp. 15-24
    • Pregibon, D.1
  • 37
    • 0000350475 scopus 로고
    • Logistic regression diagnostics
    • Pregibon D. Logistic regression diagnostics. Ann. Statist. 9:1981;705-724.
    • (1981) Ann. Statist. , vol.9 , pp. 705-724
    • Pregibon, D.1
  • 39
    • 0017054227 scopus 로고
    • A generalization of the probit and logit methods for dose response curves
    • Prentice R.L. A generalization of the probit and logit methods for dose response curves. Biometrics. 32:1976;761-768.
    • (1976) Biometrics , vol.32 , pp. 761-768
    • Prentice, R.L.1
  • 40
    • 0030336426 scopus 로고    scopus 로고
    • P -values: What they are and what they are not
    • Schervish M.J. P -values: what they are and what they are not The Amer. Statist. 50:1996;203-206.
    • (1996) The Amer. Statist. , vol.50 , pp. 203-206
    • Schervish, M.J.1
  • 41
    • 21144463916 scopus 로고
    • Testing and adjusting for departures from nominal dispersion in generalized linear models
    • Smith P.J., Heitjan D.F. Testing and adjusting for departures from nominal dispersion in generalized linear models. Appl. Statist. 42:1993;31-41.
    • (1993) Appl. Statist. , vol.42 , pp. 31-41
    • Smith, P.J.1    Heitjan, D.F.2
  • 42
    • 0001636903 scopus 로고
    • Generalized logistic models
    • Stukel T. Generalized logistic models. J. Amer. Statist. Assoc. 83:1988;426-431.
    • (1988) J. Amer. Statist. Assoc. , vol.83 , pp. 426-431
    • Stukel, T.1
  • 43
    • 0001311341 scopus 로고
    • The cost of generalized logistic regression
    • Taylor J.M.G. The cost of generalized logistic regression. J. Amer. Statist. Assoc. 83:1988;1078-1083.
    • (1988) J. Amer. Statist. Assoc. , vol.83 , pp. 1078-1083
    • Taylor, J.M.G.1
  • 44
    • 0017111759 scopus 로고
    • Quantal response analysis: Enlargement of the logistic model with a kurtosis parameter
    • Van Montford M.A.J., Otten A. Quantal response analysis: enlargement of the logistic model with a kurtosis parameter. Biomet. Z. 18:1976;371-380.
    • (1976) Biomet. Z. , vol.18 , pp. 371-380
    • Van Montford, M.A.J.1    Otten, A.2
  • 45
    • 0020802906 scopus 로고
    • Transformations to linearity in binary regression
    • Whittmore A.S. Transformations to linearity in binary regression. SIAM J. Appl. Math. 43:1983;703-710.
    • (1983) SIAM J. Appl. Math. , vol.43 , pp. 703-710
    • Whittmore, A.S.1
  • 46
    • 0000814621 scopus 로고
    • Generalized linear model diagnostics using the deviance and single case deletions
    • Williams D.A. Generalized linear model diagnostics using the deviance and single case deletions. Appl. Statist. 36:1987;181-191.
    • (1987) Appl. Statist. , vol.36 , pp. 181-191
    • Williams, D.A.1


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