How many parameters can a model have and still be testable?

DOI10.1016/0022-2496(85)90005-7zbMath0625.62104OpenAlexW2073479209MaRDI QIDQ579818

Jan P. H. van Santen, Donald Bamber

Publication date: 1985

Published in: Journal of Mathematical Psychology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-2496(85)90005-7

zbMATH Keywords

Sard's theoremidentifiabilityreparameterizationgoodness-of-fit testingnew rule of thumbquantitative testabilityrank of the Jacobian matrix

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Applications of statistics to psychology (62P15)

Related Items (10)

Thou shalt identify! The identifiability of two high-threshold models in confidence-rating recognition (and super-recognition) paradigms ⋮ State trace analysis: what it can and cannot do ⋮ Identifiability in probabilistic knowledge structures ⋮ On the link between cognitive diagnostic models and knowledge space theory ⋮ How to assess a model's testability and identifiability ⋮ A correct response model in knowledge structure theory ⋮ Uncovering the best skill multimap by constraining the error probabilities of the gain-loss model ⋮ A new method for estimating model parameters for multinomial data ⋮ Safeguarding against bad luck when attempting to discredit a state-trace model ⋮ Stratified exponential families: Graphical models and model selection

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