For many least-squares decomposition models efficient algorithms are well known. A more difficult problem arises in decomposition models where each residual is weighted by a nonnegative value. A special case is principal components analysis with missing data. Kiers (1997) discusses an algorithm...

To assess if risk attitudes play a role in individual investors' reactions to adverse events in financial markets, members of a university community (N = 102) were administered a risk tolerance instrument. Additional survey items asked about financial, emotional and behavioural effects of the...

We investigate the performance of three statistics, R <Subscript>1</Subscript>, R <Subscript>2</Subscript> (Glas in Psychometrika 53:525–546, <CitationRef CitationID="CR11">1988</CitationRef>), and M <Subscript>2</Subscript> (Maydeu-Olivares & Joe in J. Am. Stat. Assoc. 100:1009–1020, <CitationRef CitationID="CR23">2005</CitationRef>, Psychometrika 71:713–732, <CitationRef CitationID="CR24">2006</CitationRef>) to assess the overall fit of a one-parameter logistic model (1PL) estimated by...</citationref></citationref></subscript></citationref></subscript></subscript>

Asymptotic cumulants of the Bayes and pseudo Bayes estimators of ability in item response theory are obtained up to the fourth order with the higher-order asymptotic variance under possible model misspecification. Typical estimators are treated as special cases of the (pseudo) Bayes estimator...