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Original Articles

A comparison of estimators of the ED50 in up-and-down experiments

Pages 175-184 | Received 15 Jan 1986, Published online: 07 Jun 2010

References

  • Brownlee , K.I. , Hodges , J.L. and Rosenblatt , M. 1953 . The Up-and-down method with small samples . Journal of the American Statistical Association , 48 : 262 – 277 .
  • Choi , S.C. 1971 . An investigation of Wetheriirs method of estimation for the up-and-down experiment . Biometrics , 27 : 961 – 970 .
  • Chung , K.L. 1966 . Markov Chains with Stationary Transition Probabilities , Berlin : Springer .
  • Davis , M. 1965 . “ Comparison of sequential experiments for estimating the median lethal dose ” . In Ph.D. thesis , Harvard University .
  • Davis , M. 1971 . Comparison of sequential bioassays in small samples . Journal of the Royal Statistical Society , 33 : 78 – 87 .
  • Dixon , W.J. 1965 . The up-and-down method for small samples . Journal of the American Statistical Association , 60 : 967 – 978 .
  • Dixon , W.J. and Mood , A.M. 1948 . A method for obtaining and analyzing sensitivity data . Journal of the American Statistical Association , 43 : 109 – 126 .
  • Finney , D.J. 1971 . Probit Analysis , Cambridge University Press .
  • Kershaw , C.D. 1983 . “ Sequential estimation for binary response ” . In Ph.D. thesis , Edinburgh University .
  • Kershaw , C.D. 1985a . Statistical properties of staircase estimates from two interval forced choice experiments . British Journal of Mathematical and Statistical Psychology , 38 : 35 – 43 .
  • Kershaw , C.D. 1985b . Asymptotic properties of cd, an estimator of the ED50 suggested for use in up-and-down experiments in bio-assay . Annals of Statistics , 13 : 85 – 94 .
  • Numerical Algorithms Group . 1983 . Library Manual ML , Vol. 10 , Oxford : NAG Central Office . 256 Banbury Road
  • Tsutakawa , R.K. 1967a . Random walk design in bio-assay . Journal of the American Statistical Association , 62 : 842 – 856 .
  • Tsutakawa , R.K. 1967b . Asymptotic properties of the block up-and-down method in bio-assay . Annals of Statistics , 38 : 1822 – 1828 .
  • Wetherill , G.B. 1963 . Sequential estimation of quantal response curves . Journal of the Royal Statistical Society , 25 : 1 – 48 . Series B
  • Wetherill , G.B. 1975 . Sequential Methods in Statistics , London : Chapman and Hall .
  • Wetherill , G.B. , Chen , H. and Vasudeva , R.B. 1966 . Sequential estimation of quantal response curves: A new method estimation . Biometrika , 53 : 439 – 454 .
  • Wetherill , G.B. and Levitt , H. 1965 . Sequential estimation of points on a psychometric function . British Journal of Mathematical and Statistical Psychology , 18 : 1 – 10 .

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