A lofistic rlgression analysis of response-time data where the hazard function is time dependent |
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Authors: | Nathan Mantel Benjamin F. Hankey |
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Affiliation: | 1. George Washington University , 7979 Old Georgetown Road, Bethesda, Maryland, 20014, U.S.A;2. National Cancer Institute , Bethesda, Maryland, 20014, U.S.A |
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Abstract: | A logistic-exponential model for analyzing response-time data involving regressor variables is modified to allow for non-consrarey of the hazard function. For the discrete observation case illustrated the logit of the probability of responding in a time interval cf arbitrary length is taken as the sum of a function of resressor variables and a function of the time variable. The particular functions chosen in the two medical examples analyzed are linear in the parameters involved. A polynomial function of time is employed in the absence of knowledge as to a more appropriate form. Various issues arising in the analysis made are discussed. |
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