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The Sequential Estimation of Quantal Response Curves for Small Sample Sizes
Author(s) -
Wharton Robert M.,
Srinivasan R.
Publication year - 1990
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710320212
Subject(s) - monte carlo method , sample size determination , statistics , scale (ratio) , mathematics , estimation , maximum likelihood , computer science , engineering , physics , systems engineering , quantum mechanics
An approach to the sequential estimation of the location and scale‐parameters of a logistic response curve using small sample sizes is discussed. The experimental design employed is a variation of Dixon's Up‐Down method with variable step size. Modified maximum likelihood estimates for the location and scale parameters are used in conjunction with this design. The effectiveness of the new estimation procedure and a comparison of this experimental design with some standard alternative designs are examined using Monte Carlo simulation.