## 3 Results
### Correlations of Olfactory Tests and Self-Ratings  
High correlations of the olfactory subtests with each other and the resulting TDI sum score of the two self-assessment scores with each other were implied by the PCA results and were not investigated further. The focus was on the correlations of self-ratings with \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**qEffect (rm-ANOVA Factor)** & **Degrees of Freedom** & **F-Value** & **_p-Value_** & **_p \textless{} 0.05_** \\ \hline Gender & 1150 & 1.925 & 1.67E-01 & \\ Olfactory diagnosis & 2150 & 40.657 & 7.79E-15 & * \\ Self-assessment score & 1150 & 4.562 & 3.40E-02 & * \\ Gender: olfactory diagnosis & 2150 & 0.171 & 8.43E-01 & \\ Gender: self-assessment score & 1150 & 0.097 & 7.56E-01 & \\ Olfactory diagnosis: self-assessment score & 2150 & 1.586 & 2.08E-01 & \\ Gender: olfactory diagnosis: self-assessment score & 2150 & 0.984 & 3.76E-01 & \\ \hline \hline \end{tabular}
\end{table} 
Table 2: **Results of analyses of variance for repeated measures. ** The analysis was designed using the within-subject factor “rating scale” (two levels, one degree of freedom) and the between-subject factors “ olfactory diagnosis” (three levels, two degrees of freedom) and “gender” (one degree of freedom). The factor “rating scale” refers to the ratings on the two different scales, i.e., a numerical rating scale with seven named items (rating scale #1) and a 10-point scale with only the extremes named (rating scale #2). For the direction of the effects, see Figure 2. Degrees of freedom were corrected according to Greenhouse–Geiser ([PERSON], 2015). * \(p\) < 0.05.  
olfactory test results. There, a global assessment also indicated high correlations with values of \(\rho\) between 0.53 and 0.66 and \(p\)-values < 0.001 (precisely, \(1.57\cdot 10^{-12}\) or less) (Figure 1). However, the apparently high correlations of self-assessments and olfactory test results disappeared when the analyses were applied to the olfactory diagnoses separately. Then, the first self-assessment scale showed only five significant correlations with odor test scores, three of which were with total sum score, one with odor discrimination, and one with odor identification, all in females only (Figure 2), with no order of strength of correlations following the order of sample sizes. The second self-assessment score correlated significantly with olfactory test scores only three times, twice with the TDI total score, and once with odor discrimination, again only in women. Olfactory thresholds showed the least tendency for correlation with olfactory self-assessments among the olfactory test scores. Finally, both self-rating scales, but none of the variables from the odor tests, showed significant global negative correlations with the general quality-of-life scores. In addition, both rating scales correlated significantly negatively with the quality of life scores of the anoxic patients. Figure 2: Correlation coefficients among olfactory subtest results or self-ratings of the olfactory sensory function, separately for olfactory diagnosis and gender. Coefficients of correlation for each  
pair of variables with self-rating scale #1, sorted for decreasing magnitude, and their 95% bootstrap confidence intervals [57]. Significant correlations are indicated in a red-brown color. On the right, the sample size, N, of the respective correlation is shown as a horizontal bar.