A survey of literature on quantal response curves with a view toward application to the problem of selecting the curve with the smallest q-quantile (ediooq)
DOI10.1080/03610928608829276zbMath0602.62096OpenAlexW2093857382MaRDI QIDQ3738453
Publication date: 1986
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610928608829276
surveyasymptotic solutionmaximum likelihood estimationweighted least-squares estimationmultiple comparisonslogisticprobitdose-responseup-and-down methodindifference-zone approachsensitivity experimentsEDl00qminimum (modified) chi-square estimationq-quantilequantal response assaysRobbins-Monro type stochastic approximation proceduresingle-stage selection procedureSpearman- Kärber estimator
Applications of statistics to biology and medical sciences; meta analysis (62P10) Statistical ranking and selection procedures (62F07) Sequential estimation (62L12)
Cites Work
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- Minimum chi-square, not maximum likelihood!
- A stochastic approximation by observations on a discrete lattice using isotonic regression
- The application of stochastic approximation methods to the bio-assay problem
- A stochastic Newton-Raphson method
- Asymptotically efficient stochastic approximation; the RM case
- Nonparametric estimators of the mean tolerance in bioassay
- An Empirical Distribution Function for Sampling with Incomplete Information
- Non-Parametric Up-and-down Experimentation
- Some Properties of the Spearman Estimator in Bioassay
- Robust estimators for quantal bioassay
- Selection of Dose Levels for Estimating a Percentage Point of a Logistic Quantal Response Curve
- Point estimation in quantal response models
- The Comparison of Several Response Functions with a Standard
- Some properties of Spearman-type estimators of the variance and percentiles in bioassay
- Quantal resp0nse assays by inverse regression
- Adaptive design in regression and control
- A distribution‐free approach to qdantal response assays
- Optimal designs for dose response experiments in cancer research
- A Simple Solution for Optimal Chebyshev Regression Extrapolation
- An Extension of the Robbins-Monro Procedure
- Asymptotic Properties of the Block Up-and-Down Method in Bio-assay
- Nonparametric Procedures for Selecting the $t$ Population with the Largest $\alpha$-Quantiles
- Asymptotic Distribution of Stochastic Approximation Procedures
- Linear and non-linear multiple comparisons in logit analysis
- A Stochastic Approximation Method
- A Single-Sample Multiple Decision Procedure for Ranking Means of Normal Populations with known Variances
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