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Volumn 61, Issue 1, 2003, Pages 91-96

An order-preserving property of the maximum likelihood estimates for the Rasch model

Author keywords

Arrangement increasing functions; Conditional maximum likelihood; Maximum likelihood estimation; Monotone likelihood ratio; Rasch model

Indexed keywords


EID: 0037211928     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(02)00351-6     Document Type: Article
Times cited : (4)

References (16)
  • 1
    • 0001758835 scopus 로고
    • Asymptotic properties of conditional maximum likelihood estimators
    • Andersen, E.B., 1970. Asymptotic properties of conditional maximum likelihood estimators. J. Roy. Statist. Soc. Ser. B 32, 283-301.
    • (1970) J. Roy. Statist. Soc. Ser. B , vol.32 , pp. 283-301
    • Andersen, E.B.1
  • 2
    • 0002686036 scopus 로고
    • The numerical solution to a set of conditional estimation equations
    • Andersen, E.B., 1972. The numerical solution to a set of conditional estimation equations. J. Roy. Statist. Soc. Ser. B 34, 42-54.
    • (1972) J. Roy. Statist. Soc. Ser. B , vol.34 , pp. 42-54
    • Andersen, E.B.1
  • 3
    • 85004795370 scopus 로고
    • Conditional inference for multiple-choice questionnaires
    • Andersen, E.B., 1973. Conditional inference for multiple-choice questionnaires. British J. Math. Statist. Psych. 26, 31-44.
    • (1973) British J. Math. Statist. Psych. , vol.26 , pp. 31-44
    • Andersen, E.B.1
  • 5
    • 0002402298 scopus 로고
    • On the existence and uniqueness of maximum-likelihood estimates in the Rasch model
    • Fischer, G.H., 1981. On the existence and uniqueness of maximum-likelihood estimates in the Rasch model. Psychometrika 46, 59-77.
    • (1981) Psychometrika , vol.46 , pp. 59-77
    • Fischer, G.H.1
  • 7
    • 0012004081 scopus 로고
    • A convolutive class of monotone likelihood ratio families
    • Ghurye, S.G., Wallace, D.L., 1959. A convolutive class of monotone likelihood ratio families. Ann. Math. Statist. 30, 1158-1164.
    • (1959) Ann. Math. Statist. , vol.30 , pp. 1158-1164
    • Ghurye, S.G.1    Wallace, D.L.2
  • 8
    • 0001442462 scopus 로고
    • Two-Group classification in latent trait theory: Scores with monotone likelihood ratio
    • Grayson, D.A., 1988. Two-Group classification in latent trait theory: scores with monotone likelihood ratio. Psychometrika 53, 383-392.
    • (1988) Psychometrika , vol.53 , pp. 383-392
    • Grayson, D.A.1
  • 9
    • 0030367038 scopus 로고    scopus 로고
    • Polythomous IRT models and monotone likelihood ratio of the total score
    • Hemker, B.T., Molenaar, I.W., Junker, B.W., 1996. Polythomous IRT models and monotone likelihood ratio of the total score. Psychometrika 61, 679-693.
    • (1996) Psychometrika , vol.61 , pp. 679-693
    • Hemker, B.T.1    Molenaar, I.W.2    Junker, B.W.3
  • 10
    • 0002163837 scopus 로고
    • On person parameter estimation in the dichotomous Rasch model
    • Fischer, G.H., Molenaar, I. (Eds.), Springer, New York
    • Hoijtink, H., Boomsma, A., 1995. On person parameter estimation in the dichotomous Rasch model. In: Fischer, G.H., Molenaar, I. (Eds.), Rasch Models. Foundations, Recent Developments, and Applications. Springer, New York, pp. 53-68.
    • (1995) Rasch Models. Foundations, Recent Developments, and Applications , pp. 53-68
    • Hoijtink, H.1    Boomsma, A.2
  • 11
    • 21344496332 scopus 로고
    • A new proof for monotone likelihood ratio for the sum of independent Bernoulli random variables
    • Huynh, H., 1994. A new proof for monotone likelihood ratio for the sum of independent Bernoulli random variables. Psychometrika 59, 77-79.
    • (1994) Psychometrika , vol.59 , pp. 77-79
    • Huynh, H.1
  • 12
    • 0011989251 scopus 로고
    • Exact and best confidence intervals for the ability parameter of the Rasch Model
    • Klauer, K.C., 1991. Exact and best confidence intervals for the ability parameter of the Rasch Model. Psychometrika 56, 535-547.
    • (1991) Psychometrika , vol.56 , pp. 535-547
    • Klauer, K.C.1
  • 16
    • 0000578264 scopus 로고
    • Invariance of maximum likelihood estimators
    • Zehna, P.W., 1966. Invariance of maximum likelihood estimators. Ann. Math. Statist. 37, 744.
    • (1966) Ann. Math. Statist. , vol.37 , pp. 744
    • Zehna, P.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.