Submitted Manuscripts and Preprints

Anselmi, P., Heller, J., Stefanutti, L., & Robusto, E. (2025). Educational and Clinical Assessment Within Competence-Based Knowledge Structure Theory. Manuscript submitted for publication.

Anselmi, P., Stefanutti, L., Heller, J., & Robusto, E. (2025). Real-Life Applications of Competence-Based Test Development to the Construction, Improvement, and Shortening of Tests. Manuscript under revision.

Noventa, S., Spoto, A., Heller, J., & Kelava, A. (2024). On the modeling of local independence. Manuscript under revision.

Noventa, S., Heller, J., Ye, S., & Kelava, A. (2023). Toward a unified perspective on assessment models, part II: dichotomous latent variables. Manuscript under revision.

Noventa, S., Heller, J., Schaffland, T., & Kelava, A. (2023). Toward a unified perspective on assessment models, part III: polytomous and continuous latent variables. Manuscript under revision.

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

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

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, 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

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.

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

Jung, S., Huber, S., Heller, J., Grust, T., Moeller, K., & Nuerk, H.-C. (2015). Die TUebinger LernPlattform zum Erwerb numerischer und orthografischer Kompetenzen (TULPE): Individualisierte Förderung durch adaptive Lernspiele. Lernen und Lernstörungen, 4, 1-11.

Heller, J. (2014). On the perception of achromatic colors: Wallach's ratio principle revisited. TPM - Testing, Psychometrics, Methodology in Applied Psychology, 21, 371-388. DOI: http://dx.doi.org/10.4473/TPM21.4.1

Heller, J., & Wickelmaier, F. (2013). Minimum discrepancy estimation in probabilistic knowledge structures. Electronic Notes in Discrete Mathematics, 42, 49-56. http://dx.doi.org/10.1016/j.endm.2013.05.145

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

Stefanutti, L., Heller, J., Anselmi, P., & Robusto, E. (2012). Assessing the local identifiability of probabilistic knowledge structures. Behavior Research Methods, 44, 1197-1211. https://doi.org/10.3758/s13428-012-0187-z

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 taxonomy-based 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. https://doi.org/10.1016/j.jmp.2008.01.003

Heller, J. (2006). Illumination invariance of Plateau's midgray. Journal of Mathematical Psychology, 50, 263-270. https://doi.org/10.1016/j.jmp.2005.12.002

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

Heller, J. (2004). The locus of perceived equidistance in binocular vision. Perception & Psychophysics, 66, 1162-1170. https://doi.org/10.3758/BF03196843

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 für Experimentelle Psychologie, 48, 259-271.

Heller, J. (2000). Representation and assessment of individual semantic knowledge. In Methods of Psychological Research (Vols. 5, Issues 2, pp. 1-37). IPN - Institute for Science Education at the University of Kiel, Germany. https://doi.org/10.23668/psycharchives.12749

Aczél, J., Boros, Z., Heller, J., & Ng, C. T. (1999). Functional equations in binocular space perception. Journal of Mathematical Psychology, 43, 71-101. https://doi.org/10.1006/jmps.1998.1224

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

Heller, J. (1997). On the psychophysics of binocular space perception. Journal of Mathematical Psychology, 41, 29-43. https://doi.org/10.1006/jmps.1997.1145

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

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

Publications in Refereed Conference Proceedings

Ganter, B., Bedek, M., Heller, J., & Suck, R. (2017). An invitation to knowledge space theory. In K. Bertet, D. Borchmann, P. Cellier, & S. Ferré (eds.), Formal Concept Analysis: 14th International Conference, ICFCA 2017, Rennes, France, June 13-16, 2017, Proceedings (pp. 3-19). Berlin: Springer. (Lecture Notes in Computer Science; vol. 10308)

Holz, H., Brandelik, K., Brandelik, J., Beuttler, B., Kirsch, A., Heller, J., & Meurers, D. (2017). Prosodiya – a mobile game for German dyslexic children. Lecture Notes in Computer Science. In J. Dias, P.A. Santos, & R.C. Veltkamp (eds.), Games and Learning Alliance: 6th International Conference, GALA 2017, Lisbon, Portugal, December 5–7, 2017, Proceedings. Berlin: Springer. (Lecture Notes in Computer Science; vol. 10653)

Jung, S., Roesch, S., Huber, S., Heller, J., Grust, T., Nuerk, H.-C., & Moeller, K. (2015). An Interactive Web-Based Learning Platform for Arithmetic and Orthography. In N. E. Mastorakis, A. L. Brooks & I. J. Rudas (Eds.), Advances in Computers and Technology for Education – Proceedings of the 11th International Conference on Educational Technologies (pp. 13-22). Dubai: WSEAS.

Conlan, O., O'Keeffe, I., Hampson, C., & Heller, J. (2006). Using Knowledge Space Theory to support Learner Modeling and Personalization. In T. Reeves & S. Yamashita (Eds.), Proceedings of World Conference on E-Learning in Corporate, Government, Healthcare, and Higher Education 2006 (pp. 1912-1919). Chesapeake, VA: AACE.

Görgün, I., Türker, A., Ozan, Y., & Heller, J. (2005). Learner Modeling to Facilitate Personalized E-Learning Experience. In Kinshuk, D. G. Sampson & P. T. Isaías (Eds.), CELDA'05: Cognition and Exploratory Learning in Digital Age (pp. 231-237). IADIS.

Heller, J., Mayer, B., Hockemeyer, C., & Albert, D. (2005). Competence-based knowledge structures for personalised learning: Distributed Resources and Virtual Experiments. In G. Albano, P. Ritrovato & S. Salerno (Eds.), Proceedings of the 1st ELeGI Conference, 14-16 March 2005, Vico Equense.

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.

Textbooks

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.

Chapters in Books

Heller, J. & Stefanutti, L. (2024). Basics of knowledge structure theory. In J. Heller & L. Stefanutti (Eds.), Knowledge Structures: Recent Developments in Theory and Application (Advanced Series on Mathematical Psychology: Volume 7) (pp. 3–26). Singapore: World Scientific. https://doi.org/10.1142/9789811280481_0001

Noventa, S. & Heller, J. (2024). Probabilistic knowledge structures. In J. Heller & L. Stefanutti (Eds.), Knowledge Structures: Recent Developments in Theory and Application (Advanced Series on Mathematical Psychology: Volume 7) (pp. 27–51). Singapore: World Scientific. https://doi.org/10.1142/9789811280481_0002

Anselmi, P., Noventa, S. & Heller, J. (2024). Knowledge structures and related theories. In J. Heller & L. Stefanutti (Eds.), Knowledge Structures: Recent Developments in Theory and Application (Advanced Series on Mathematical Psychology: Volume 7) (pp. 53–84). Singapore: World Scientific. https://doi.org/10.1142/9789811280481_0003

Heller, J., Stefanutti, L., Anselmi, P. & de Chiusole, D. (2024). Parameter estimation and model validation. In J. Heller & L. Stefanutti (Eds.), Knowledge Structures: Recent Developments in Theory and Application (Advanced Series on Mathematical Psychology: Volume 7) (pp. 105–132). Singapore: World Scientific. https://doi.org/10.1142/9789811280481_0005

Heller, J., Stefanutti, L. & Spoto, A. (2024). Identifiability in probabilistic knowledge structures. In J. Heller & L. Stefanutti (Eds.), Knowledge Structures: Recent Developments in Theory and Application (Advanced Series on Mathematical Psychology: Volume 7) (pp. 133–157). Singapore: World Scientific. https://doi.org/10.1142/9789811280481_0006

Anselmi, P., de Chiusole, D. & Heller, J. (2024). Adaptive assessment. In J. Heller & L. Stefanutti (Eds.), Knowledge Structures: Recent Developments in Theory and Application (Advanced Series on Mathematical Psychology: Volume 7) (pp. 159–180). Singapore: World Scientific. https://doi.org/10.1142/9789811280481_0007

Heller, J. (2024). Assessment structures. In J. Heller & L. Stefanutti (Eds.), Knowledge Structures: Recent Developments in Theory and Application (Advanced Series on Mathematical Psychology: Volume 7) (pp. 211–230). Singapore: World Scientific. https://doi.org/10.1142/9789811280481_0009

Heller, J. & Stefanutti, L. (2024). Polytomous knowledge structures. In J. Heller & L. Stefanutti (Eds.), Knowledge Structures: Recent Developments in Theory and Application (Advanced Series on Mathematical Psychology: Volume 7) (pp. 231–267). Singapore: World Scientific. https://doi.org/10.1142/9789811280481_0010

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 (eds.), New Handbook of Mathematical Psychology, Volume 2, Modeling and Measurement, pp. 128-184. Cambridge, UK: Cambridge University Press.

Heller, J., Ünlü, A., & Albert, D . (2013). Skills, competencies and knowledge structures. In J.-C. Falmagne, C. Doble, D. Albert, D. Eppstein, and X. Hu (Eds). Knowledge Spaces: Applications in Education. Interdisciplinary Applied Mathematics. Berlin, Heidelberg: Springer.

Heller, J., Augustin, T., Hockemeyer, C., Stefanutti, L., & Albert, D. (2013). Recent developments in competence-based knowledge space theory. In J.-C. Falmagne, C. Doble, D. Albert, D. Eppstein, and X. Hu (Eds). Knowledge Spaces: Applications in Education. Interdisciplinary Applied Mathematics. Berlin, Heidelberg: Springer.

Ünlü, A., Schrepp, M., Heller, J., Hockemeyer, C., & Albert, D. (2013). Recent developments in performance-based knowledge space theory. In J.-C. Falmagne, C. Doble, D. Albert, D. Eppstein, and X. Hu (Eds). Knowledge Spaces: Applications in Education. Interdisciplinary Applied Mathematics. Berlin, Heidelberg: Springer.

Steiner, Ch., Marte, B., Heller, J., & Albert, D. (2012). Activity- and taxonomy-based knowledge representation. In N.M. Seel (ed.), Encyclopedia of the Sciences of Learning, Part 1, pp. 80-83. Springer: Berlin.

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

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.), Affective 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. In G. Wenninger (Hrsg.), Lexikon der Psychologie (Bd. 3), S. 423. Heidelberg: Spektrum Akademischer Verlag.

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

Heller, J. (2001). Skalierung. 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.

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