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Multimodal mate choice613We report multiple quantitative measures to summarize the posterior distribution. First, we report the median Odds Ratio (MdnOR) and median absolute deviation of the Odds Ratio (MAD) of the estimate. Second, we report a 89% credible interval of the Odds Ratio (89% CrI). We have chosen 89% instead of the conventional 95% to reduce the likelihood that our results are interpreted as strict hypothesis tests (McElreath, 2018). Instead, the goal of the credible intervals is to communicate the shape of the posterior distributions. Third, we report the probability of direction (pd), i.e. the probability of a parameter being strictly positive or negative, which varies between 50% and 100% (Makowski et al., 2019). Fourth, we report an approximation of Cohen’s d (Borenstein et al., 2009).ResultsCorrelation between modalitiesWe first explored whether the attractiveness ratings in the different modalities were correlated, using Bayesian ordinal regressions (Table 1, Supplementary Tables 8–10). We found that all modalities were slightly positively correlated. However, this relationship became most apparent for the correlations between visual and auditory, and visual and olfactory attractiveness, while the correlation between auditory and olfactory attractiveness was not as robust. Importantly, even for the former two findings, effect sizes were relatively small, indicating that the correlation between the modalities is not strong. Furthermore, estimates were very similar for men and women.Table 1. Estimates and effect size measures for the concordance in attractiveness ratings between modalities. All estimates are based on ordinal regression models (see Supplementary Table 8–10).Dependent Predictor Rater sex Median OR CrI 89% pd d NVisual Auditory Female 1.25 [0.15] 1.04; 1.52 0.97 0.12 [0.07] 473Visual Auditory Male 1.27 [0.13] 1.08; 1.51 0.99 0.13 [0.06]Auditory Visual Female 1.30 [0.15] 1.09; 1.56 0.99 0.15 [0.06]Auditory Visual Male 1.38 [0.16] 1.15; 1.66 1.00 0.18 [0.06]Visual Olfactory Female 1.21 [0.12] 1.03; 1.42 0.97 0.10 [0.06] 465Visual Olfactory Male 1.20 [0.12] 1.02; 1.40 0.96 0.10 [0.05]Olfactory Visual Female 1.24 [0.13] 1.04; 1.47 0.97 0.12 [0.06]Olfactory Visual Male 1.22 [0.13] 1.03; 1.46 0.97 0.11 [0.06]Auditory Olfactory Female 1.15 [0.11] 0.98; 1.34 0.92 0.08 [0.05] 465Auditory Olfactory Male 1.13 [0.11] 0.97; 1.31 0.90 0.07 [0.05]Olfactory Auditory Female 1.20 [0.13] 1.00; 1.44 0.95 0.10 [0.06]Olfactory Auditory Male 1.12 [0.11] 0.96; 1.31 0.88 0.06 [0.05]Tom Roth.indd 61 08-01-2024 10:41