Above are papers related to the following paper: [Paper_ID] Paper #1105877. 	[Title] Latent and manifest monotonicity in item response models [Abstract]  Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #74920. 	[Title] Some remarks on Scheiblechner's treatment of ISOP models. [Abstract] Scheiblechner (1995) proposes a probabilistic axiomatization of measurement called ISOP (isotonic ordinal probabilistic models) that replaces Rasch's (1980) specific objectivity assumptions with two interesting ordinal assumptions. Special cases of Scheiblechner's model include standard unidimensional factor analysis models in which the loadings are held constant, and the Rasch model for binary item responses. Closely related are the doubly-monotone item response models of Mokken (1971; see also Mokken and Lewis, 1982; Si-jtsma, 1988; Molenaar, 1991; Sijtsma and Junker, 1996; and Sijtsma and Hemker, 1996). More generally, strictly unidimensional latent variable models have been considered in some detail by Holland and Rosenbaum (1986), Ellis and van den Wollenberg (1993), and Junker (1990, 1993). The purpose of this note is to provide connections with current research in foundations and nonparametric latent variable and item response modeling that are missing from Scheiblechner's (1995) paper, and to point out important related work by Hemker et al. (1996a,b), Ellis and Junker (1996) and Junker and Ellis (1996). We also discuss counterexamples to three major theorems in the paper. By carrying out these three tasks, we hope to provide researchers interested in the foundations of measurement and item response modeling the opportunity to give the ISOP approach the careful attention it deserves. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #74921. 	[Title] A Characterization of Monotone Unidimensional Latent Variable Models [Abstract]  Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #74937. 	[Title] A Survey of Theory and Methods of Invariant Item Ordering [Abstract] This work was initiated while Junker was visiting the University of Utrecht with the support of a Carnegie Mellon University Faculty Development Grant, and the generous hospitality of the Social Sciences Faculty, University of Utrecht. Additional support was provided by the Office of Naval Research, Cognitive Sciences Division, Grant N00014-87-K-0277 and the National Institute of Mental Health, Training Grant MH15758. Please summarise all the given information.

Paper #1105877 has the title `Latent and manifest monotonicity in item response models  
` and the abstract `nan`.
Question: Which category should Paper #1105877 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].


Paper #1105877 has the title `Latent and manifest monotonicity in item response models  
` and the abstract `nan`.
Question: Which category should Paper #1105877 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].

This paper should be classified into: Probabilistic_Methods