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Analysis of variance on indirectly measured variables
Author(s) -
Engel J.
Publication year - 1983
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1983.tb00800.x
Subject(s) - mathematics , statistics , variance (accounting) , probit model , maximum likelihood , econometrics , distribution (mathematics) , normal distribution , probit , mathematical analysis , accounting , business
When observations from a normal distribution can only be obtained indirectly by counting the number of subjects responding to a previously chosen dose, parameter estimates can be obtained by using probit analysis. Well‐known is the maximum likelihood technique of parameter estimation, less known is the approach by weighted least squares. The latter approach is followed to compare the parameters of several normal distributions by testing their equality, in analogy with the analysis of variance. A practical situation gave rise to this study and it is worked out at the end of the paper.