British Journal of Mathematical and Statistical Psychology
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- Proquest, Ingenta, CSA, and Wiley from 1999
The impact of ignoring multiple membership data structures in multilevel models.
This study compared the use of the conventional multilevel model (MM) with that of the multiple membership multilevel model (MMMM) for handling multiple membership data structures. Multiple membership data structures are commonly encountered in longitudinal educational data sets in w...
Extensions of Narens' theory of ratio magnitude estimation.
Stevens postulated that the responses of a participant in a ratio scaling experiment can be used directly to construct a psychophysical function. Today, it is generally accepted that the axioms of commutativity and multiplicativity are crucial for the interpretation of the subjects' ratio scaling be...
On the modelling and estimation of attribute rankings with ties in the Thurstonian framework.
A Thurstonian type approach is applied to modelling ranking data with ties. It uses a non-totally differentiable discriminational process instead of the conventional totally differential one to relate the observed rankings and the underlying subjective values. A Monte Carlo expectation-maximization...
Wavelet modelling of collinearity judgment error.
We examined judgments of collinearity of dot pairs across 360 degrees of angular position. A priori and post hoc wavelet modelling strategies were used to identify independent sources of error that could not be attributed to chance, and some new statistical protocols were applied. We found evidence...
Modelling human memory: connectionism and convolution.
British Journal of Mathematical and Statistical... 49 ( Pt 1):1 (1996) PMID 8652417We show that a connectionist-like architecture can learn, using a gradient-descent algorithm, to perform single-trial learning in a similar manner to convolution. The solution that the network finds leads to less variable retrieval than does convolution. Furthermore, the network can learn to carry o...
A repeated measurements model with applications in psychology.
British Journal of Mathematical and Statistical... 43 ( Pt 2):283 (1990) PMID 2285579The multivariate Burr distribution is discussed in relation to the analysis of repeated measures data in psychology. The ease of coping with censored and missing observations is particularly highlighted. A numerical example involving test scores of low IQ institutional patients is used to illustrate...
Rejoinder to discussion of 'Philosophy and the practice of Bayesian statistics'.
An improved Hochberg procedure for multiple tests of significance.
We propose a simple modification of Hochberg's step-up Bonferroni procedure for multiple tests of significance. The proposed procedure is always more powerful than Hochberg's procedure for more than two tests, and is more powerful than Hommel's procedure for three and four tests. A numerical analysi...
The impact of omitting the interaction between crossed factors in cross-classified random effects modelling.
We investigate the impact of the omission of the interaction effect on parameter estimates and standard errors. Results from a Monte Carlo simulation study indicate that, for fixed effects, both coefficients estimates and accompanied standard error estimates are not biased. For random effects, resul...
Heteroscedastic one-factor models and marginal maximum likelihood estimation.
In the present paper, a general class of heteroscedastic one-factor models is considered. In these models, the residual variances of the observed scores are explicitly modelled as parametric functions of the one-dimensional factor score. A marginal maximum likelihood procedure for parameter estimati...