{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T12:51:41Z","timestamp":1787748701428,"version":"build-2784847793"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2026,5,22]],"date-time":"2026-05-22T00:00:00Z","timestamp":1779408000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2026,5,22]],"date-time":"2026-05-22T00:00:00Z","timestamp":1779408000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"name":"Palacky University Olomouc"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Behav Res"],"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>Eye-tracking metrics based on Areas of Interest (AOIs) often represent the relative allocation of visual attention across stimulus regions. Compositional data analysis (CoDA) provides a mathematically principled framework for analyzing such data and enables the application of a wide range of multivariate statistical methods through their representation in log-ratio coordinates. This study demonstrates the utility of CoDA in AOI-based eye-tracking research using a large-scale replication of Yarbus\u2019 classic \u201cUnexpected Visitor\u201d experiment. Eye movements of 144 participants were recorded with a high-precision eye-tracker while they viewed Ilja Repin\u2019s painting under seven tasks adapted from Yarbus. Total fixation durations within seven AOIs were analyzed either as absolute measures (classical approach) or as compositions representing the relative distribution of viewing time across AOIs. Descriptive CoDA techniques (compositional means, variation matrices, and ternary plots) together with multivariate methods in log-ratio coordinates (principal component analysis, hierarchical clustering, and compositional MANOVA) reproduce the qualitative patterns described by Yarbus and subsequent replications, confirming that task demands strongly shape the relative allocation of attention. Linear discriminant analysis further shows that the task being performed can be inferred from eye-movement patterns with accuracy above the chance level. The paper is conceived as a tutorial introduction to CoDA in eye-tracking research. The compositional framework is particularly appropriate when AOI metrics represent proportions or when total viewing time is fixed by design, while under unconstrained viewing time, it provides a complementary perspective to classical analyses.<\/jats:p>","DOI":"10.3758\/s13428-026-03054-5","type":"journal-article","created":{"date-parts":[[2026,5,22]],"date-time":"2026-05-22T16:15:44Z","timestamp":1779466544000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Advancing eye movement analysis through compositional modeling: A new perspective on Yarbus\u2019 classic study"],"prefix":"10.3758","volume":"58","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5294-1115","authenticated-orcid":false,"given":"Kamila","family":"Fa\u010devicov\u00e1","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jaroslav","family":"Vymazal","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stanislav","family":"Popelka","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,5,22]]},"reference":[{"issue":"2","key":"3054_CR1","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1111\/j.2517-6161.1982.tb01195.x","volume":"44","author":"J Aitchison","year":"1982","unstructured":"Aitchison, J. (1982). The statistical analysis of compositional data. Journal of Royal Statistical Society, Series B, Methodological, 44(2), 139\u2013177.","journal-title":"Journal of Royal Statistical Society, Series B, Methodological"},{"key":"3054_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-4109-0","volume-title":"The Statistical Analysis of Compositional Data","author":"J Aitchison","year":"1986","unstructured":"Aitchison, J. (1986). The Statistical Analysis of Compositional Data. London: Chapman & Hall."},{"issue":"2","key":"3054_CR3","doi-asserted-by":"publisher","first-page":"323","DOI":"10.2307\/2336249","volume":"71","author":"J Aitchison","year":"1984","unstructured":"Aitchison, J., & Bacon-Shone, J. (1984). Log contrast models for experiments with mixtures. Biometrika, 71(2), 323\u2013330. https:\/\/doi.org\/10.2307\/2336249","journal-title":"Biometrika"},{"issue":"4","key":"3054_CR4","doi-asserted-by":"publisher","first-page":"502","DOI":"10.1016\/j.jml.2006.12.004","volume":"57","author":"GTM Altmann","year":"2007","unstructured":"Altmann, G. T. M., & Kamide, Y. (2007). The real-time mediation of visual attention by language and world knowledge: Linking anticipatory (and other) eye movements to linguistic processing. Journal of Memory and Language, 57(4), 502\u2013518. https:\/\/doi.org\/10.1016\/j.jml.2006.12.004","journal-title":"Journal of Memory and Language"},{"key":"3054_CR5","doi-asserted-by":"crossref","unstructured":"Anderson, T. W., Olkin, I., & Fang, K. T. (Eds.). (1994). Multivariate Analysis and Its Applications (Vol. 24). Hayward, CA (USA): Institute of Mathematical Statistics.","DOI":"10.1214\/lnms\/1215463776"},{"issue":"3","key":"3054_CR6","doi-asserted-by":"publisher","first-page":"842","DOI":"10.3758\/s13428-012-0299-5","volume":"45","author":"NC Anderson","year":"2013","unstructured":"Anderson, N. C., Bischof, W. F., Laidlaw, K. E. W., Risko, E. F., & Kingstone, A. (2013). Recurrence quantification analysis of eye movements. Behavior Research Methods, 45(3), 842\u2013856. https:\/\/doi.org\/10.3758\/s13428-012-0299-5","journal-title":"Behavior Research Methods"},{"issue":"1","key":"3054_CR7","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/0004-3702(91)90080-4","volume":"48","author":"DH Ballard","year":"1991","unstructured":"Ballard, D. H. (1991). Animate vision. Artificial Intelligence, 48(1), 57\u201386. https:\/\/doi.org\/10.1016\/0004-3702(91)90080-4","journal-title":"Artificial Intelligence"},{"issue":"1281","key":"3054_CR8","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1098\/rstb.1992.0111","volume":"337","author":"DH Ballard","year":"1992","unstructured":"Ballard, D. H., Hayhoe, M. M., Li, F., Whitehead, S. D., Frisby, J. P., Taylor, J. G., & Fisher, R. B. (1992). Hand-eye coordination during sequential tasks. Philosophical Transactions: Biological Sciences, 337(1281), 331\u2013339. https:\/\/doi.org\/10.1098\/rstb.1992.0111","journal-title":"Philosophical Transactions: Biological Sciences"},{"key":"3054_CR9","unstructured":"Boogaart van den, K.G., Tolosana, R., & Bren, M. (2009). compositions: Compositional Data Analysis. R package version 1.02-1. http:\/\/www.stat.boogaart.de\/compositions"},{"issue":"3","key":"3054_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1167\/14.3.29","volume":"14","author":"A Borji","year":"2014","unstructured":"Borji, A., & Itti, L. (2014). Defending Yarbus: Eye movements reveal observers\u2019 task. Journal of Vision, 14(3), 1\u201322. https:\/\/doi.org\/10.1167\/14.3.29","journal-title":"Journal of Vision"},{"key":"3054_CR11","unstructured":"Catrysse, L. (2024). Yarbus revisited: The webcam edition. In Proceedings of the 22nd European Conference on Eye Movements (ECEM 2024). Open Universiteit."},{"issue":"11","key":"3054_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1167\/14.11.8","volume":"14","author":"T Chuk","year":"2014","unstructured":"Chuk, T., Chan, A. B., & Hsiao, J. H. (2014). Understanding eye movements in face recognition using hidden markov models. Journal of Vision, 14(11), 1\u201314. https:\/\/doi.org\/10.1167\/14.11.8","journal-title":"Journal of Vision"},{"key":"3054_CR13","doi-asserted-by":"publisher","unstructured":"Coenders, G., Egozcue, J.J., Fa\u010devicov\u00e1, K., Navarro-L\u00f3pez, C., Palarea-Albaladejo, J., Pawlowsky-Glahn, V., & Tolosana-Delgado, R. (2023). 40 years after Aitchison\u2019s article \u201cThe statistical analysis of compositional data\u201d. Where we are and where we are heading. SORT-Statistics and Operations Research Transactions,\u00a047(2), 207\u2013228. https:\/\/doi.org\/10.57645\/20.8080.02.6","DOI":"10.57645\/20.8080.02.6"},{"issue":"6\u20137","key":"3054_CR14","doi-asserted-by":"publisher","first-page":"790","DOI":"10.1080\/13506280902793843","volume":"17","author":"M DeAngelus","year":"2009","unstructured":"DeAngelus, M., & Pelz, J. B. (2009). Top-down control of eye movements: Yarbus revisited. Visual Cognition, 17(6\u20137), 790\u2013811. https:\/\/doi.org\/10.1080\/13506280902793843","journal-title":"Visual Cognition"},{"key":"3054_CR15","doi-asserted-by":"publisher","unstructured":"Duchowski, A.T. (2017). Eye Tracking Methodology: Theory and Practice (3rd Ed.). Springer, London. https:\/\/doi.org\/10.1007\/978-3-319-57883-5","DOI":"10.1007\/978-3-319-57883-5"},{"issue":"7","key":"3054_CR16","doi-asserted-by":"publisher","first-page":"795","DOI":"10.1007\/s11004-005-7381-9","volume":"37","author":"JJ Egozcue","year":"2005","unstructured":"Egozcue, J. J., & Pawlowsky-Glahn, V. (2005). Groups of parts and their balances in compositional data analysis. Mathematical Geology, 37(7), 795\u2013828. https:\/\/doi.org\/10.1007\/s11004-005-7381-9","journal-title":"Mathematical Geology"},{"key":"3054_CR17","doi-asserted-by":"publisher","unstructured":"Egozcue, J.J., Pawlowsky-Glahn, V., Mateu-Figueras, G., & Barcelo-Vidal, C. (2003). Isometric logratio transformations for compositional data analysis. Mathematical Geology,\u00a035, 279\u2013300. https:\/\/doi.org\/10.1023\/A:1023818214614","DOI":"10.1023\/A:1023818214614"},{"issue":"9","key":"3054_CR18","doi-asserted-by":"publisher","first-page":"926","DOI":"10.1007\/s00417-005-1128-7","volume":"243","author":"WH Ehrenstein","year":"2005","unstructured":"Ehrenstein, W. H., Arnold-Schulz-Gahmen, B. E., & Jaschinski, W. (2005). Eye preference within the context of binocular functions. Graefe\u2019s Archive for Clinical and Experimental Ophthalmology, 243(9), 926\u2013932. https:\/\/doi.org\/10.1007\/s00417-005-1128-7","journal-title":"Graefe\u2019s Archive for Clinical and Experimental Ophthalmology"},{"key":"3054_CR19","doi-asserted-by":"publisher","unstructured":"Fa\u010devicov\u00e1, K., B\u00e1bek, O., Hron, K., & Kumpan, T. (2016a). Element chemostratigraphy of the Devonian\/Carboniferous boundary \u2013 a compositional approach. Applied Geochemistry,\u00a075, 211\u2013221. https:\/\/doi.org\/10.1016\/j.apgeochem.2016.10.002","DOI":"10.1016\/j.apgeochem.2016.10.002"},{"key":"3054_CR20","doi-asserted-by":"publisher","unstructured":"Fa\u010devicov\u00e1, K., Hron, K., Todorov, V., & Templ, M. (2016b). Compositional tables analysis in coordinates. Scandinavian Journal of Statistics,\u00a043(4), 962\u2013977. https:\/\/doi.org\/10.1111\/sjos.12223","DOI":"10.1111\/sjos.12223"},{"issue":"3","key":"3054_CR21","doi-asserted-by":"publisher","first-page":"955","DOI":"10.1007\/s00362-022-01350-8","volume":"64","author":"K Fa\u010devicov\u00e1","year":"2022","unstructured":"Fa\u010devicov\u00e1, K., Filzmoser, P., & Hron, K. (2022). Compositional cubes: A new concept for multi-factorial compositions. Statistical Papers, 64(3), 955\u2013985. https:\/\/doi.org\/10.1007\/s00362-022-01350-8","journal-title":"Statistical Papers"},{"key":"3054_CR22","doi-asserted-by":"publisher","unstructured":"Fa\u010devicov\u00e1, K., Filzmoser, P., & Hron, K. (2025), Correspondence analysis from the viewpoint of compositional tables. Statistical Analysis and Data Mining,\u00a018(4). https:\/\/doi.org\/10.1002\/sam.70023","DOI":"10.1002\/sam.70023"},{"issue":"64","key":"3054_CR23","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/s12966-017-0521-z","volume":"14","author":"SJ Fairclough","year":"2017","unstructured":"Fairclough, S. J., Dumuid, D., Taylor, S., Curry, W., McGrane, B., Stratton, G., Maher, C., & Olds, T. (2017). Fitness, fatness and the reallocation of time between children\u2019s daily movement behaviours: An analysis of compositional data. International Journal of Behavioral Nutrition and Physical Activity, 14(64), 1\u201312. https:\/\/doi.org\/10.1186\/s12966-017-0521-z","journal-title":"International Journal of Behavioral Nutrition and Physical Activity"},{"issue":"3","key":"3054_CR24","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/s11004-007-9141-5","volume":"40","author":"P Filzmoser","year":"2008","unstructured":"Filzmoser, P., & Hron, K. (2008). Outlier detection for compositional data using robust methods. Mathematical Geosciences, 40(3), 233\u2013248. https:\/\/doi.org\/10.1007\/s11004-007-9141-5","journal-title":"Mathematical Geosciences"},{"key":"3054_CR25","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1002\/9781119976462.ch5","volume-title":"Compositional Data Analysis: Theory and Applications","author":"P Filzmoser","year":"2011","unstructured":"Filzmoser, P., & Hron, K. (2011). Robust statistical analysis. In V. Pawlowsky-Glahn & A. Buccianti (Eds.), Compositional Data Analysis: Theory and Applications (pp. 59\u201372). Chichester: John Wiley & Sons."},{"key":"3054_CR26","doi-asserted-by":"publisher","unstructured":"Filzmoser, P., Hron, K., & Templ, M. (2018). Applied Compositional Data Analysis. Springer, Cham. https:\/\/doi.org\/10.1007\/978-3-319-96422-5","DOI":"10.1007\/978-3-319-96422-5"},{"key":"3054_CR27","doi-asserted-by":"publisher","unstructured":"Findlay, J.M., & Gilchrist, I.D. (2003). Active Vision: The Psychology of Looking and Seeing. Oxford University Press, Oxford. https:\/\/doi.org\/10.1093\/acprof:oso\/9780198524793.001.0001","DOI":"10.1093\/acprof:oso\/9780198524793.001.0001"},{"key":"3054_CR28","doi-asserted-by":"publisher","unstructured":"Gloor, G.B., Macklaim, J.M., Pawlowsky-Glahn, V., & Egozcue, J.J. (2017). Microbiome datasets are compositional: And this is not optional. Frontiers in Microbiology,\u00a08(2224). https:\/\/doi.org\/10.3389\/fmicb.2017.02224","DOI":"10.3389\/fmicb.2017.02224"},{"key":"3054_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.visres.2012.03.019","volume":"62","author":"MR Greene","year":"2012","unstructured":"Greene, M. R., Liu, T., & Wolfe, J. M. (2012). Reconsidering Yarbus: A failure to predict observers\u2019 task from eye movement patterns. Vision Research, 62, 1\u20138. https:\/\/doi.org\/10.1016\/j.visres.2012.03.019","journal-title":"Vision Research"},{"key":"3054_CR30","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1016\/j.visres.2014.08.014","volume":"103","author":"A Haji-Abolhassani","year":"2014","unstructured":"Haji-Abolhassani, A., & Clark, J. J. (2014). An inverse Yarbus process: Predicting observers\u2019 task from eye movement patterns. Vision Research, 103, 127\u2013142. https:\/\/doi.org\/10.1016\/j.visres.2014.08.014","journal-title":"Vision Research"},{"key":"3054_CR31","volume-title":"Eye Tracking: A Comprehensive Guide to Methods and Measures","author":"K Holmqvist","year":"2011","unstructured":"Holmqvist, K., Nystr\u00f6m, M., Andersson, R., Dewhurst, R., Halszka, J., & Weijer, J. (2011). Eye Tracking: A Comprehensive Guide to Methods and Measures. Oxford: Oxford University Press."},{"issue":"12","key":"3054_CR32","doi-asserted-by":"publisher","first-page":"3095","DOI":"10.1016\/j.csda.2009.11.023","volume":"54","author":"K Hron","year":"2010","unstructured":"Hron, K., Templ, M., & Filzmoser, P. (2010). Imputation of missing values for compositional data using classical and robust methods. Computational Statistics and Data Analysis, 54(12), 3095\u20133107. https:\/\/doi.org\/10.1016\/j.csda.2009.11.023","journal-title":"Computational Statistics and Data Analysis"},{"key":"3054_CR33","doi-asserted-by":"publisher","first-page":"797","DOI":"10.1007\/s11004-017-9684-z","volume":"49","author":"K Hron","year":"2017","unstructured":"Hron, K., Filzmoser, P., Caritat, P., Fi\u0161erov\u00e1, E., & Gardlo, A. (2017). Weighted pivot coordinates for compositional data and their application to geochemical mapping. Mathematical Geosciences, 49, 797\u2013814. https:\/\/doi.org\/10.1007\/s11004-017-9684-z","journal-title":"Mathematical Geosciences"},{"issue":"3","key":"3054_CR34","doi-asserted-by":"publisher","first-page":"194","DOI":"10.1038\/35058500","volume":"2","author":"L Itti","year":"2001","unstructured":"Itti, L., & Koch, C. (2001). Computational modelling of visual attention. Nature Reviews Neuroscience, 2(3), 194\u2013203. https:\/\/doi.org\/10.1038\/35058500","journal-title":"Nature Reviews Neuroscience"},{"key":"3054_CR35","doi-asserted-by":"publisher","unstructured":"James, G., Witten, D., Hastie, T., & Tibshirani, R. (2021). An Introduction to Statistical Learning. Springer, New York, NY (USA). https:\/\/doi.org\/10.1007\/978-1-0716-1418-1","DOI":"10.1007\/978-1-0716-1418-1"},{"key":"3054_CR36","doi-asserted-by":"publisher","unstructured":"Kou\u0159il, S., de\u00a0Sousa, J., Fa\u010devicov\u00e1, K., Gardlo, A., Muehlmann, C., Nordhausen, K., Friedeck\u00fd, D., & Adam, T. (2023). Multivariate independent component analysis identifies patients in newborn screening equally to adjusted reference ranges. International Journal of Neonatal Screening,\u00a09(4). https:\/\/doi.org\/10.3390\/ijns9040060","DOI":"10.3390\/ijns9040060"},{"key":"3054_CR37","doi-asserted-by":"crossref","unstructured":"Krejtz, K., \u00c7\u00f6ltekin, A., Duchowski, A.T., & Niedzielska, A. (2017). Using coefficient k to distinguish ambient\/focal visual attention during cartographic tasks. Journal of Eye Movement Research,\u00a010(2), 1\u201313. https:\/\/doi.org\/10.16910\/jemr.10.2.3","DOI":"10.16910\/jemr.10.2.3"},{"issue":"2","key":"3054_CR38","first-page":"231","volume":"39","author":"J-A Mart\u00edn-Fern\u00e1ndez","year":"2015","unstructured":"Mart\u00edn-Fern\u00e1ndez, J.-A., Daunis-i-Estadella, J., & Mateu-Figueras, G. (2015). On the interpretation of differences between groups for compositional data. SORT-Statistics and Operations Research Transactions, 39(2), 231\u2013252.","journal-title":"SORT-Statistics and Operations Research Transactions"},{"issue":"420","key":"3054_CR39","doi-asserted-by":"publisher","first-page":"1209","DOI":"10.1080\/01621459.1992.10476281","volume":"87","author":"KE Muller","year":"1992","unstructured":"Muller, K. E., Lavange, L. M., Ramey, S. L., & Ramey, C. T. (1992). Power calculations for general linear multivariate models including repeated measures applications. Journal of American Statistical Association, 87(420), 1209\u20131226. https:\/\/doi.org\/10.1080\/01621459.1992.10476281","journal-title":"Journal of American Statistical Association"},{"key":"3054_CR40","doi-asserted-by":"publisher","unstructured":"Palarea-Albaladejo, J., & Mart\u00edn-Fern\u00e1ndez, J.A. (2008). A modified EM alr-algorithm for replacing rounded zeros in compositional data sets. Computers and Geosciences,\u00a034(8), 2233\u20132251. https:\/\/doi.org\/10.1016\/j.cageo.2007.09.015","DOI":"10.1016\/j.cageo.2007.09.015"},{"issue":"7","key":"3054_CR41","doi-asserted-by":"publisher","first-page":"625","DOI":"10.1007\/s11004-007-9100-1","volume":"39","author":"J Palarea-Albaladejo","year":"2007","unstructured":"Palarea-Albaladejo, J., Mart\u00edn-Fern\u00e1ndez, J. A., & G\u00f3mez-Garc\u00eda, J. A. (2007). Parametric approach for dealing with compositional rounded zeros. Mathematical Geology, 39(7), 625\u2013645. https:\/\/doi.org\/10.1007\/s11004-007-9100-1","journal-title":"Mathematical Geology"},{"key":"3054_CR42","doi-asserted-by":"publisher","unstructured":"Pavl\u016f, I., Menafoglio, A., Bongiorno, E.G., & Hron, K. (2023). Classifcation of probability density functions in the framework of bayes spaces: methods and applications. SORT-Statistics and Operations Research Transactions,\u00a047(2), 295\u2013322. https:\/\/doi.org\/10.57645\/20.8080.02.10","DOI":"10.57645\/20.8080.02.10"},{"key":"3054_CR43","doi-asserted-by":"publisher","unstructured":"Pawlowsky-Glahn, V., & Buccianti, A.E. (2011). Compositional Data Analysis. John Wiley & Sons, Ltd, Chichester, UK. https:\/\/doi.org\/10.1002\/9781119976462","DOI":"10.1002\/9781119976462"},{"key":"3054_CR44","doi-asserted-by":"publisher","unstructured":"Pawlowsky-Glahn, V., Egozcue, J.J., & Tolosana-Delgado, R. (2007). Modeling and Analysis of Compositional Data. Wiley, Chichester. https:\/\/doi.org\/10.1002\/9781119003144","DOI":"10.1002\/9781119003144"},{"issue":"2","key":"3054_CR45","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1177\/1471082X14535526","volume":"15","author":"V Pawlowsky-Glahn","year":"2015","unstructured":"Pawlowsky-Glahn, V., Egozcue, J. J., & Lovell, D. (2015). Tools for compositional data with a total. Statistical Modelling, 15(2), 175\u2013190. https:\/\/doi.org\/10.1177\/1471082X14535526","journal-title":"Statistical Modelling"},{"key":"3054_CR46","doi-asserted-by":"crossref","unstructured":"Pearson, K. (1897). Mathematical contributions to the theory of evolution. On a form of spurious correlation which may arise when indices are used in the measurement of organs. In Proceedings of the Royal Society of London,\u00a060","DOI":"10.1098\/rspl.1896.0076"},{"key":"3054_CR47","unstructured":"R Development Core Team. (2009). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. R Foundation for Statistical Computing. http:\/\/www.r-project.org"},{"key":"3054_CR48","doi-asserted-by":"publisher","unstructured":"Tatler, B.W., Wade, N.J., Kwan, H., Findlay, J.M., & Velichkovsky, B.M. (2010). Yarbus, eye movements, and vision. i-Perception1(1), 7\u201327. https:\/\/doi.org\/10.1068\/i0382","DOI":"10.1068\/i0382"},{"key":"3054_CR49","doi-asserted-by":"crossref","unstructured":"Templ, M., Hron, K., & Filzmoser, P. (2011). robCompositions: An R-package for robust statistical analysis of compositional data. In V. Pawlowsky-Glahn,& A. Buccianti (Eds.) Compositional Data Analysis: Theory and Applications, Chichester, pp. 341\u2013355.","DOI":"10.1002\/9781119976462.ch25"},{"key":"3054_CR50","doi-asserted-by":"publisher","unstructured":"Tolosana-Delgado, R. (2012). Uses and misuses of compositional data in sedimentology. Sedimentary Geology,280, 60\u201379. https:\/\/doi.org\/10.1016\/j.sedgeo.2012.05.005","DOI":"10.1016\/j.sedgeo.2012.05.005"},{"issue":"3","key":"3054_CR51","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1177\/1471082X18816540","volume":"20","author":"O Venc\u00e1lek","year":"2020","unstructured":"Venc\u00e1lek, O., Hron, K., & Filzmoser, P. (2020). A comparison of generalised linear models and compositional models for ordered categorical data. Statistical Modeling, 20(3), 249\u2013273. https:\/\/doi.org\/10.1177\/1471082X18816540","journal-title":"Statistical Modeling"},{"key":"3054_CR52","doi-asserted-by":"publisher","unstructured":"Vojtechovska, M., & Popelka, S. (2026). Gazeplotter: An open-source solution for the automatic generation of scarf plots from eye-tracking data. Behavior Research Methods,\u00a058(85). https:\/\/doi.org\/10.3758\/s13428-026-02959-5","DOI":"10.3758\/s13428-026-02959-5"},{"key":"3054_CR53","doi-asserted-by":"publisher","unstructured":"Yarbus, A.L. (1967). Eye Movements and Vision. Springer, New York. https:\/\/doi.org\/10.1007\/978-1-4899-5379-7","DOI":"10.1007\/978-1-4899-5379-7"},{"issue":"2","key":"3054_CR54","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1214\/16-AOAS921","volume":"10","author":"AK Ylitalo","year":"2016","unstructured":"Ylitalo, A. K., S\u00e4rkk\u00e4, A., & Guttorp, P. (2016). What we look at in paintings: A comparison between experienced and inexperiencedart viewers. The Annals of Applied Statistics, 10(2), 549\u2013574. https:\/\/doi.org\/10.1214\/16-AOAS921","journal-title":"The Annals of Applied Statistics"}],"container-title":["Behavior Research Methods"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.3758\/s13428-026-03054-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.3758\/s13428-026-03054-5","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.3758\/s13428-026-03054-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,6]],"date-time":"2026-07-06T20:40:19Z","timestamp":1783370419000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.3758\/s13428-026-03054-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,5,22]]},"references-count":54,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2026,6]]}},"alternative-id":["3054"],"URL":"https:\/\/doi.org\/10.3758\/s13428-026-03054-5","relation":{},"ISSN":["1554-3528"],"issn-type":[{"value":"1554-3528","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,5,22]]},"assertion":[{"value":"28 November 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 April 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 May 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflicts of Interest\/Competing Interests"}},{"value":"The study was conducted in accordance with the ethical standards of the Faculty of Science, Palack\u00fd University Olomouc. It was approved by the institutional Ethics Committee (reference no. 22-01), and written informed consent was obtained from all participants prior to the experiment.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethics approval and consent to participate"}},{"value":"Not applicable.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent for publication"}}],"article-number":"173"}}