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Journal of the American Statistical Association Volume 70, 1975 - Issue 352
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Theory and Method

The Up-and-Down Method for Small Samples with Two Specimens “in Series”

R. E. Little School of Engineering, University of Michigan, Dearborn, Mich., 48128, USA
Pages 846-851 | Received 01 Jul 1974, Published online: 05 Apr 2012

References

  • Brownlee , K. A. , Hodges , J. L. Jr. and Rosenblatt , Murray . 1953 . “The Up-and-Down Method with Small Samples” . Journal of the American Statistical Association , 48 June : 262 – 77 .
  • Choi , S. C. 1971 . “An Investigation of Wetherill's Method of Estimation for the Up-and-Down Experiment” . Biometrics , 27 December : 961 – 70 .
  • Cochran , William G. and Davis , Miles . 1964 . “Stochastic Approximation to the Median Effective Dose in Bioassay” . In Stochastic Models in Medicine and Biology , Edited by: Gurland , John . 281 – 300 . Madison : The University of Wisconsin Press .
  • Davis , Miles . 1971 . “Comparison of Sequential Bioassays in Small Samples” . Journal of the Royal Statistical Society, Ser. B (Methodological) , 33 ( No. 1 ) : 78 – 87 .
  • Dixon , W. J. and Mood , A. M. 1948 . “A Method for Obtaining and Analyzing Sensitivity Data” . Journal of the American Statistical Association , 43 March : 109 – 26 .
  • Dixon , W. J. and Mood , A. M. 1965 . “The Up-and-Down Method for Small Samples” . Journal of the American Statistical Association , 60 December : 967 – 78 .
  • Hsi , B. P. 1969 . “The Multiple Sample Up-and-Down Method in Bioassay” . Journal of the American Statistical Association , 64 March : 147 – 62 .
  • Little , R. E. 1974 . “A Mean Square Error Comparison of Certain Median Response Estimates for the Up-and-Down Method with Small Samples” . Journal of the American Statistical Association , 69 March : 202 – 6 .
  • Little , R. E. 1974 . “The Up-and-Down Method for Small Samples with Extreme Value Response Distributions” . Journal of the American Statistical Association , 69 September : 803 – 6 .
  • Prairie , R. R. 1967 . “Probit Analysis as a Technique for Estimating the Reliability of a Simple System” . Technometrics , 9 May : 197 – 203 .
  • Tsutakawa , R. K. 1967 . “Random Walk Design in Bioassay” . Journal of the American Statistical Association , 62 September : 842 – 56 .
  • Wetherill , G. B. 1963 . “Sequential Estimation of Quantal Response Curves” . Journal of the Royal Statistical Society, Ser. B (Methodological) , 25 ( No. 1 ) : 1 – 48 .
  • Wetherill , G. B. , Chen , H. and Vasudeva , R. B. 1966 . “Sequential Estimation of Quantal Response Curves: A New Method of Estimation” . Biometrika , 53 December : 439 – 54 .

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