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Sequential item response models with an ordered response. (English) Zbl 0718.62263

Summary: A stepwise approach to the construction of latent trait models is outlined. As a special case of the derived general sequential model, a sequential Rasch model is considered. The derivation of the models is based on mechanisms of latent random variables. The unconditional maximum likelihood estimation is embedded in the framework of generalized linear models. An alternative estimation procedure which allows for ‘parameter separability’ is considered and its applicability is shown.

MSC:

62P15 Applications of statistics to psychology
62J12 Generalized linear models (logistic models)
62F10 Point estimation
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