Submitted Manuscripts and Preprints

Naumann, K., & Heller, J. (2026). Revisiting cross-modal matching in the light of Luce’s global psychophysical theory. PsyArXiv Preprint https://doi.org/10.31234/osf.io/tekq2_v2

Kohler, D., & Heller, J. (2026). On cross-modal commutativity in magnitude production for loudness and brightness. PsyArXiv Preprint https://doi.org/10.31234/osf.io/74qj3_v2

Heller, J. (2025). Simultaneous measurement of persons and items on a common scale. PsyArXiv Preprint https://doi.org/10.31234/osf.io/bemrj_v1

Heller, J. (2022). The near-miss to cross-modal commutativity. PsyArXiv Preprint 10.31234/osf.io/p9dny

Heller, J. (2019). Complete Q-matrices in general attribute structures. PsyArXiv Preprint 10.31234/osf.io/k82a5

Heller, J. (2019). Internal references in cross-modal matching: a global psychophysical perspective. PsyArXiv Preprint 10.31234/osf.io/mf3tk

Publications in Refereed Journals

Anselmi, P., Heller, J., Stefanutti, L., & Robusto, E. (2026). A competency addition procedure for constructing minimal, yet maximally informative tests for skill assessment. Behavior Research Methods. Manuscript accepted for publication.

Jenisch, A., & Heller, J. (2026). The discrepancy between items and knowledge states. Journal of Mathematical Psychology, 130, 103010. https://doi.org/10.1016/j.jmp.2026.103010

Kohler, D., & Heller, J. (2026). On cross-modal commutativity in magnitude production for loudness and brightness. Perception. Manuscript accepted for publication.

Noventa, S., Heller, J., Schaffland, T., & Kelava, A. (2026). Toward a unified perspective on assessment models, part III: polytomous and continuous latent variables. Journal of Mathematical Psychology, 129, 102993. https://doi.org/10.1016/j.jmp.2026.102993

Noventa, S., Spoto, A., Heller, J., & Kelava, A. (2026). On the modeling of local dependence. Psychometrika, 1-28. https://doi.org/10.1017/psy.2026.10099

Noventa, S., Heller, J., Ye, S., & Kelava, A. (2025). Toward a unified perspective on assessment models, part II: dichotomous latent variables. Journal of Mathematical Psychology, 125, 102926. https://doi.org/10.1016/j.jmp.2025.102926

Anselmi, P., Heller, J., Stefanutti, L., & Robusto, E. (2025). Real-Life Applications of Competence-Based Test Development to the Construction, Improvement, and Shortening of Tests. Education and Information Technologies. https://doi.org/10.1007/s10639-025-13581-x

Heller, J. (2025). The near-miss to cross-modal commutativity. Attention, Perception, & Psychophysics, 87, 619–636. https://doi.org/10.3758/s13414-025-03014-9

Anselmi, P., Heller, J., Stefanutti, L., & Robusto, E. (2025). Educational and Clinical Assessment Within Competence-Based Knowledge Structure Theory. TPM - Testing, Psychometrics, Methodology in Applied Psychology. https://doi.org/10.69978/Tpmap.V32.I1.1

Stefanutti, L., Anselmi, P., de Chiusole, D., Spoto, A., & Heller, J. (2025). The BLIM, the DINA and their polytomous extensions. Rejoinder to the Commentary by Chiu, Köhn and Ma. Psychometrika. https://doi.org/10.1017/psy.2024.24

Noventa, S., Heller, J., & Kelava, A. (2024). Toward a unified perspective on assessment models, part I: foundations of a framework. Journal of Mathematical Psychology, 122, 102872. https://doi.org/10.1016/j.jmp.2024.102872

Anselmi, P., Heller, J., Stefanutti, L., & Robusto, E. (2024). Constructing tests for skill assessment with competence-based test development. British Journal of Mathematical and Statistical Psychology, 77, 429-458. http://doi.org/10.1111/bmsp.12335 (ranked among the top 10 most-cited articles in BJMSP in 2024)

Heller, J. (2023). Special issue on knowledge structures: Theoretical developments and applications. Editorial. Journal of Mathematical Psychology, 114, 102773.    https://doi.org/10.1016/j.jmp.2023.102773   (PDF)

Heller, J. (2023). Assessment-based correct rates in learning spaces. Journal of Mathematical Psychology, 112, 102740. https://doi.org/10.1016/j.jmp.2022.102740

Heller, J. (2022). Complete Q-matrices in conjunctive models on general attribute structures. British Journal of Mathematical and Statistical Psychology, 75, 522-549. https://doi.org/10.1111/bmsp.12266

Anselmi, P., Heller, J., Stefanutti, L., Robusto, E. (2022). Constructing, improving, and shortening tests for skill assessment. Journal of Mathematical Psychology. https://doi.org/10.1016/j.jmp.2021.102621

Noventa, S., Heller, J., Stefanutti, L. (2021). Some considerations on the factorization of knowledge state probabilities in knowledge structures. Journal of Mathematical Psychology. https://doi.org/10.1016/j.jmp.2021.102542

Heller, J. (2021). Internal references in cross-modal judgments: a global psychophysical perspective. Psychological Review, 128, 509-524.  https://doi.org/10.1037/rev0000280  (Full-text on ResearchGate)

Heller, J. (2021). Generalizing quasi-ordinal knowledge spaces to polytomous items. Journal of Mathematical Psychology. https://doi.org/10.1016/J.JMP.2021.102515

Jung, S., Moeller, K., Klein, E., & Heller, J. (2021).  Mode effect: An issue of perspective? Writing mode differences in a spelling assessment in German children with and without developmental dyslexia. Dyslexia. https://doi.org/10.1002/dys.1675

Daroczy, G., Meurers, D., Heller, J., Wolska, M., & Nürk, H.-C. (2020). The interaction of linguistic and arithmetic factors affects adult performance on arithmetic word problems. Cognitive Processing. https://doi.org/10.1007/s10339-019-00948-5

Jung, S., Roesch, S., Klein, E., Dackermann, T., Heller, J., & Moeller, K. (2020). The strategy matters: Bounded and unbounded number line estimation in secondary school children. Cognitive Development. doi: 10.1016/j.cogdev.2019.100839

Heller, J. (2019). Assessment structures in psychological testing. Journal of Mathematical Psychology, 91, 1-13. https://doi.org/10.1016/j.jmp.2019.02.003

Noventa, S., Spoto, A., Heller, J., & Kelava, A. (2019). On a generalization of local independence in item response theory based on knowledge space theory. Psychometrika, 84, 395-421. https://doi.org/10.1007/s11336-018-9645-6

Heller, J., Anselmi, P., Stefanutti, L., & Robusto, E. (2017). A necessary and suffcient condition for unique skill assessment. Journal of Mathematical Psychology, 79, 23-28. http://dx.doi.org/10.1016/j.jmp.2017.05.004

Heller, J. (2017). Identifiability in probabilistic knowledge structures. Journal of Mathematical Psychology, 77, 46-57. http://dx.doi.org/10.1016/j.jmp.2016.07.008

Roesch, S., Jung, S., Huber, S., Artemenko, C., Bahnmueller, J., Heller, J., Grust, T., Nuerk, H.-C., & Moeller, K. (2016). Training arithmetic and orthography on a web-based and socially-interactive learning platform. International Journal of Education and Information Technologies, 10, 204-217.

Jung, S., Huber, S., Heller, J., Grust, T., Moeller, K., & Nuerk, H.-C. (2016). Die TUebinger LernPlattform zum Erwerb numerischer und orthografischer Kompetenzen (TULPE). Lernen und Lernstörungen, 5(1), 7-15.

Heller, J., Stefanutti, L., Anselmi, P., & Robusto, E. (2016). Erratum to: On the Link between Cognitive Diagnostic Models and Knowledge Space Theory. Psychometrika, 81, 250-251. http://dx.doi.org/10.1007/s11336-015-9494-5

Heller, J., Stefanutti, L., Anselmi, P., & Robusto, E. (2015). On the Link between Cognitive Diagnostic Models and Knowledge Space Theory. Psychometrika, 80, 995-1019. http://dx.doi.org/10.1007/s11336-015-9457-x

Heller, J. (2014). On the perception of achromatic colors: Wallach's ratio principle revisited. Testing, Psychometrics, Methodology in Applied Psychology (TPM), 21, 371-388.

Heller, J., & Wickelmaier, F. (2013). Minimum discrepancy estimation in probabilistic knowledge structures. Electronic Notes in Discrete Mathematics, 42, 49-56.

Sauter, K., Heller, J., & Landerl, K. (2012). Sprachrhythmus und Schriftspracherwerb. Lernen und Lernstorungen, 1, 225-239. 

Stefanutti, L., Heller, J., Anselmi, P., & Robusto, E. (2012). Assessing the local identiability of probabilistic knowledge structures. Behavior Research Methods,
44, 1197-1211.

Heller, J., & Repitsch, C. (2012). Exploiting prior information in stochastic knowledge assessment. Methodology, 8, 12-22.

Marte, B., Steiner, C.M., Heller, J., & Albert, D. (2008). Activity- and taxonomybased knowledge representation framework. International Journal of Knowledge and Learning, 4, 189-202.

Heller, J. & Repitsch, C. (2008). Distributed skill functions and the meshing of knowledge structures. Journal of Mathematical Psychology, 52, 147-157.

Heller, J. (2006). Illumination invariance of Plateau's midgrey. Journal of Mathematical Psychology, 50, 263-270.

Heller, J., Steiner, C., Hockemeyer, C. & Albert, D. (2006). Competence-Based Knowledge Structures for Personalised Learning. International Journal on ELearning, 5, 75-88.

Heller, J. (2004). The locus of perceived equidistance in binocular vision. Perception & Psychophysics, 66, 1162-1170.

Heller, J. (2004). A formal framework for characterizing querying algorithms. Journal of Mathematical Psychology, 48, 1-8.

Perrucci V., Heller, J. & Agnoli, F. (2004). Identifying solution strategies in a cube comparison task using a knowledge structure approach. TPM - Testing Psicometria Metodologia, 11, 1-27.

Heller, J. (2003). Generalized factorizable automorphisms in n-component conjoint structures. Journal of Mathematical Psychology, 47, 527-537.

Heller, J. (2001). Mittenbildung bei achromatischen Farben: Das klassische Experiment von Plateau. Zeitschrift fur Experimentelle Psychologie, 48, 259-271.

Heller, J. (2000). Representation and assessment of individual semantic knowledge. Methods of Psychological Research - Online, 5(2), 1-37.

Aczel, J., Boros, Z., Heller, J. & Ng, C. T. (1999). Functional equations in binocular space perception. Journal of Mathematical Psychology, 43, 71-101.

Heller, J. (1997). Psychophysische Invarianzen des beidaugigen Raumsehens. Zeitschrift für Psychologie, 205, 297-318.

Heller, J. (1997). On the psychophysics of binocular space perception. Journal of Mathematical Psychology, 41, 29-43.

Heller, J. & Reyersbach, R. (1995). Zum Einfluß der Helligkeit auf die binokular gesehene Distanz. Zeitschrift fur Experimentelle Psychologie, 42, 237-255.

Heller, J. (1988). Experimentelle Untersuchung der Bildung von Oberbegriffen. Zeitschrift fur Experimentelle und Angewandte Psychologie, 35, 74-87.

Contributions to Edited Books

Doignon, J.-P., Heller, J., & Stefanutti, L. (2018). Identifiability of probabilistic models, with examples from knowledge structure theory. In W.H. Batchelder, H. Colonius, & E.N. Dzhafarov, New Handbook of Mathematical Psychology, Volume II (pp. 128-184). Cambridge University Press: Cambridge, UK.

Heller, J., Augustin, T., Hockemeyer, C., Stefanutti, L., & Albert, D. (2013). Recent developments in competence-based knowledge space theory. In J.- C. Falmagne, D. Albert, C. Doble, D. Eppstein, & X. Hu (Eds.), Knowledge spaces: applications in education (pp. 229–242). Berlin, Heidelberg, and New York: Springer.

Heller, J., Ünlü, A., & Albert, D. (2013). Skills, competencies and knowledge structures. In J.-C. Falmagne, D. Albert, C. Doble, D. Eppstein, & X. Hu (Eds.), Knowledge spaces: Applications in education (pp. 229–242). Berlin, Heidelberg, and New York: Springer.

Ünlü, A., Schrepp, M., Heller, J., Hockemeyer, C., Wesiak, G., & Albert, D. (2013). Recent developments in performance-based knowledge space theory. In J.-C. Falmagne, D. Albert, C. Doble, D. Eppstein, & X. Hu (Eds.), Knowledge spaces: Applications in education (pp. 147-192). Berlin, Heidelberg, and New York: Springer.

Heller, J., Levene, M., Keenoy, K., Albert, D. & Hockemeyer, C. (2007). Cognitive aspects of trails: A stochastic model linking navigation behaviour to the learner's cognitive state (pp. 119-146). In J. Schoonenboom, M. Levene, J. Heller, K. Keenoy & M. Turcsanyi-Szabo (eds.), Trails in Education: Technologies that Support Navigational Learning. Rotterdam: Sense Publishers.

Steiner, Ch., Albert, D. & Heller, J. (2007). Concept mapping as a means to build e-learning. In N.A. Buzzetto-More (ed.), Advanced principles of effective e-learning. Santa Rosa, CA: Informing Science Press.

Heller, J., Albert, D., Kickmeier-Rust, M. & Kertz, M. (2006). Achievement Motivation, Performance Structure, and Adaptive Hypertext Learning. In M. Pivec, F. Thissen & K. Baumann (eds.), Aective and Emotional Aspects of Human-Computer Interaction: Emphasis on Game-Based and Innovative Learning Approaches. Amsterdam: IOS Press.

Heller, J. (2001). Binocular space perception models. In N.J. Smelser & P.B. Baltes (eds.), International Encyclopedia of the Social and Behavioral Sciences (pp. 1184-1187). Amsterdam: Elsevier.

Heller, J. (2001). Raumwahrnehmung. Kurzbeitrag in G. Wenninger (Hrsg.), Lexikon der Psychologie (Bd. 3), S. 423. Heidelberg: Spektrum Akademischer Verlag.

Heller, J. (2001). Nichteuklidische Raumwahrnehmung. Kurzbeitrag in G. Wenninger (Hrsg.), Lexikon der Psychologie (Bd. 3), S. 423-242. Heidelberg: Spektrum Akademischer Verlag.

Heller, J. (2001). Skalierung. Kurzbeitrag in G. Wenninger (Hrsg.), Lexikon der Psychologie (Bd. 4), S. 181. Heidelberg: Spektrum Akademischer Verlag.

Heller, J. (1994). Semantic structures. In D. Albert (Ed.), Knowledge structures (pp. 117-149). Berlin: Springer.

Monographs

Heller, J. (2012). Experimentelle Psychologie. München: Oldenbourg Verlag. https://doi.org/10.1524/9783486714258

Edited Books

Heller, J., & Stefanutti, L. (Eds.) (2024). Knowledge Structures: Recent Developments in Theory and Application (Advanced Series on Mathematical Psychology: Volume 7). Singapore: World Scientific. https://doi.org/10.1142/13519

Schoonenboom, J., Levene, M., Heller, J. Keenoy, K., & Turcsanyi-Szabo, M. (Eds.) (2007). Trails in Education: Technologies that Support Navigational Learning. Rotterdam: Sense Publishers.

Refereed Conference Proceedings

Ganter, B., Bedek, M., Heller, J., & Suck, R. (2017). An Invitation to Knowledge Space Theory. In: Bertet, K., Borchmann, D., Cellier, P., Ferré, S. (eds) Formal Concept Analysis. ICFCA 2017. Lecture Notes in Computer Science, 10308. Springer: Cham. https://doi.org/10.1007/978-3-319-59271-8_1

Heller, J., Mayer, B., Hockemeyer, C. & Albert, D. (2005). Competence-based knowledge structures for personalised learning: Distributed Resources and Virtual Experiments. Paper presented at the 1. ELeGI Conference, 14-16 March 2005, Vico Equense.

Heller, J., Steiner, C., Hockemeyer, C. & Albert, D. (2005). Competencebased knowledge structures for personalised learning. Paper presented at the ProLearn-iClass Workshop, 3-4 March 2005, Leuven.

Heller, J., Hockemeyer, C. & Albert, D. (2004). Applying Competence Structures for Peer Tutor Recommendations in CSCL Environments. Proceedings of IEEE International Conference on Advanced Learning Technologies (ICALT'04), 30 August - 01 September 2004, Joensuu, Finland, pp. 1050-1051.

Miscellaneous

Loenneker, H. D., Huber, J. F., Artemenko, C., Heller, J., & Nuerk, H.-C. (2022). Realitätscheck Open Science in der universitären Lehre. Psychologische Rundschau, 73(1), 47–49. https://doi.org/10.1026/0033-3042/a000577