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Binder, Karin ; Steib, Nicole ; Büchter, Theresa ; Böcherer-Linder, Katharina ; Eichler, Andreas ; Krauss, Stefan ; Vogel, Markus ; Wiesner, Patrick

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

DokumentenartKonferenz- oder Workshop-Beitrag (Paper)
DatumJuli 2023
InstitutionenMathematik > Prof. Dr. Stefan Krauss
Identifikationsnummer
WertTyp
HAL Id: hal-04410767Andere
Stichwörter / KeywordsOdds, relative frequencies, odds ratios, conversion
Dewey-Dezimal-Klassifikation100 Philosophie und Psychologie > 150 Psychologie
300 Sozialwissenschaften > 370 Erziehung, Schul- und Bildungswesen
500 Naturwissenschaften und Mathematik > 510 Mathematik
StatusVeröffentlicht
BegutachtetJa, diese Version wurde begutachtet
An der Universität Regensburg entstandenZum Teil
URN der UB Regensburgurn:nbn:de:bvb:355-epub-779565
Dokumenten-ID77956

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