Analysis of the OR-join Survey Results: 14 situation, 37 participants, 5 Or-join policies

Data analysis of the survey conducted to analyse the expected OR-join semantics in BPMN models and how these relate to five different semantics (OR-join policies). There are 14 situations labeled DI01, DI02, . . . , DI14 answered by 37 participants, labeled P16, P18, . . . , P70. The participants are not numbered consecutively, e.g., P17 does not exist. These identifiers correspond to invitations. Next to the 37 participants, also five OR-join policies described were used to answer the questions: (1) State-space, (2) BPMN, (3) Naïve, (4) Post Dom, and (5) Total Order (returning "unknown" if the BPMN is not well-ordered). The file "statistics-OR-join-paper-zenodo.xlsx" contains an Excel workbook with 10 worksheets. For each worksheet in the Excel workbook also a separate xlsx file is added. The corresponding paper "Towards an OR-Join Semantics that Meets Expectations" was accepted for the 24th edition of the International Conference on Business Process Management (BPM 2026), taking place at York University in Toronto, Canada, from September 28 to October 2, 2026. name short description correlation-participants Correlation 37 participants and 5 policies based on 14 answers. correlations-models Correlation of the 14 models (i.e., OR-join situations). definition-distances Distances between the different policies. manhattan-dist-part Manhattan distance between the 37 participants and 5 policies (based on answers). euclidean-dist-part Euclidean distance between the 37 participants and 5 policies (based on answers). mutual-information-models Mutual information between the 14 models (i.e., OR-join situations), i.e., the reduction in uncertainty knowing the results for one model, predicting another model. entropy-models The entropy values of the answers given for each situation. Higher valuescorrespond to a lack of consensus. Theil's U models Theil’s Uncertainty Coefficient U for the 14 models (i.e., OR-join situations). Valuesclose to 0 indicate independence. Higher values indicate that the situation repre-sented by the j-th column reduces the uncertainty regarding the situation repre-sented by the i-th row. mutual-information-participants Mutual information between the 37 participants and 5 policies, , i.e., the reduction in uncertainty knowing the results for one participant, predicting another participant. Theil's U participants Theil’s Uncertainty Coefficient U for the 37 participants and5 policies. The numbers indicate the relative reduction in uncertainty for thefeature represented by row Xi, knowing the feature represented by column Xj.