It is shown that a unidimensional monotone latent variable model for binary items implies a restriction on the relative sizes of item correlations: The negative logarithm of the correlations satisfies the triangle inequality. This inequality is not implied by the condition that the correlations...

In this paper we define the class of conditional strong N-demimartingales given a σ-field F. This class includes the partial sum of F-negatively associated random variables as a special case. For functions of conditional strong N-demimartingales we compare the conditional expectation with the...