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The design of quantal response experiments and the modelling of quantal response experiments over time Sitter, Randy Rudolf
Abstract
The problem of designing a quantal response experiment when estimation of the median effective dose (ED50) is of main interest is examined. The asymptotic variances of the maximum likelihood estimators of the ED50 for various 3 and 5 point designs, using the logit model, are compared to the minimum possible which is achieved with an inadvisable 1 point design (Cher-noff[5]). Alternate criteria for choosing a design that attempt to incorporate goodness-of-fit of the model are then examined. The modelling of quantal response experiments observed over time is also considered. A growth-curve approach to this problem was suggested by Carter and Hubert[3], and applied to a data set. The feasibility of this approach is discussed, and a simpler, more direct approach is proposed. The two models are applied to the presented data set, and the resulting fits are compared. The model proposed here appears to fit the data better. Inference about the ED50 using the two models is also compared.
Item Metadata
Title |
The design of quantal response experiments and the modelling of quantal response experiments over time
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1986
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Description |
The problem of designing a quantal response experiment when estimation of the median effective dose (ED50) is of main interest is examined. The asymptotic variances of the maximum likelihood estimators of the ED50 for various 3 and 5 point designs, using the logit model, are compared to the minimum possible which is achieved with an inadvisable 1 point design (Cher-noff[5]). Alternate criteria for choosing a design that attempt to incorporate goodness-of-fit of the model are then examined.
The modelling of quantal response experiments observed over time is also considered. A growth-curve approach to this problem was suggested by Carter and Hubert[3], and applied to a data set. The feasibility of this approach is discussed, and a simpler, more direct approach is proposed. The two models are applied to the presented data set, and the resulting fits are compared. The model proposed here appears to fit the data better. Inference about the ED50 using the two models is also compared.
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Type | |
Language |
eng
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Date Available |
2010-06-30
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0096804
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URI | |
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Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.