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How odd are odds? Students´ difficulties in converting relative frequencies into odds
Binder, Karin
, Steib, Nicole
, Büchter, Theresa, Böcherer-Linder, Katharina, Eichler, Andreas, Krauss, Stefan
, Vogel, Markus und Wiesner, Patrick
(2023)
How odd are odds? Students´ difficulties in converting relative frequencies into odds.
In: Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), Juli 2023, Alfréd Rényi Institute of Mathematics, Eötvös Loránd University of Budapest.
Veröffentlichungsdatum dieses Volltextes: 14 Okt 2025 05:17
Konferenz- oder Workshop-Beitrag
DOI zum Zitieren dieses Dokuments: 10.5283/epub.77956
Zusammenfassung
There are many ways in expressing relative frequencies with numerical values: 1) percentages 25%, 2) decimal fractions 0.25, 3) common fractions 1/4, 4) natural frequencies “1 out of 4”, 5) notations like “every fourth”, or 6) odds “1 to 3”. The latter one plays an important role in communicating changes of risk, e.g., in medical research results in scientific papers. Therefore, we investigate ...
There are many ways in expressing relative frequencies with numerical values: 1) percentages 25%, 2) decimal fractions 0.25, 3) common fractions 1/4, 4) natural frequencies “1 out of 4”, 5) notations like “every fourth”, or 6) odds “1 to 3”. The latter one plays an important role in communicating changes of risk, e.g., in medical research results in scientific papers. Therefore, we investigate medical students’ and—as a comparison group—also law students’ abilities in converting different representations of relative frequencies into odds. 52 medical students and 51 law students answered three items, which addressed the conversion of a relative frequency into odds. The low solution rates indicate that odds ratios are probably poorly understood because the underlying concept—namely the odds themselves—are frequently misinterpreted. These findings support previous claims for not reporting odds ratios in scientific papers, because these can be misunderstood.
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Details
| Dokumentenart | Konferenz- oder Workshop-Beitrag (Paper) | ||||
| Datum | Juli 2023 | ||||
| Institutionen | Mathematik > Prof. Dr. Stefan Krauss | ||||
| Identifikationsnummer |
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| Stichwörter / Keywords | Odds, relative frequencies, odds ratios, conversion | ||||
| Dewey-Dezimal-Klassifikation | 100 Philosophie und Psychologie > 150 Psychologie 300 Sozialwissenschaften > 370 Erziehung, Schul- und Bildungswesen 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||
| Status | Veröffentlicht | ||||
| Begutachtet | Ja, diese Version wurde begutachtet | ||||
| An der Universität Regensburg entstanden | Zum Teil | ||||
| URN der UB Regensburg | urn:nbn:de:bvb:355-epub-779565 | ||||
| Dokumenten-ID | 77956 |
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