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Interval estimates for variance components
Author(s) -
Venables W.,
James A. T.
Publication year - 1978
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314832
Subject(s) - component (thermodynamics) , variance components , variance (accounting) , fiducial inference , mathematics , distribution (mathematics) , inference , interval (graph theory) , fiducial marker , statistics , econometrics , computer science , combinatorics , bayesian inference , bayesian probability , artificial intelligence , mathematical analysis , frequentist inference , economics , physics , accounting , thermodynamics
A new approach to inference on variance components is propounded. This approach not only gives a new justification for Fisher's fiducial, distribution for the “between classes” component, but also leads to a new distribution for the “within classes” component. This latter distribution is studied, and has some intuitively very reasonable properties. Numerical results are given.