Table 2

The goodness of fit

NMinimum d values for N combination of features (N = 1–17)
Fit quality between physical and visual perceptual spacesFit quality between physical and tactile perceptual spaces
1d = 0.158 (F13)d = 0.266 (F13)
2d = 0.120 (F2, F13)d = 0.215 (F2, F9)
3d = 0.098 (F5, F13, F14)d = 0.158 (F2, F4, F13)
4d = 0.072 (F2, F11, F13, F14)d = 0.135 (F2, F4, F11, F16)
5d = 0.061 (F2, F5, F11, F13, F14)d = 0.126 (F2, F4, F9, F15, F17)
6d = 0.062 (F2, F3, F6, F12, F14, F15)d = 0.118 (F2, F4, F5, F10, F11, F17)
7d = 0.053 (F2, F5, F6, F11, F13, F14, F15)d = 0.101 (F2, F4, F5, F11, F13, F15, F17)
8d = 0.052 (F2, F3, F4, F8, F11, F13, F14, F15)d = 0.110 (F2, F4, F5, F6, F9, F10, F11, F15)
9d = 0.050 (F2, F4, F5, F6, F7, F11, F13, F14, F15)d = 0.116 (F2, F4, F7, F10, F11, F12, F13, F15, F16)
10d = 0.048 (F1, F2, F4, F5, F7, F8, F11, F13, F14, F15)d = 0.120 (F2, F4, F5, F7, F9, F10, F11, F14, F15, F17)
11d = 0.050 (F2, F4, F5, F6, F7, F10, F11, F12, F13, F14, F15)d = 0.132 (F2, F3, F4, F7, F9, F10, F11, F12, F14, F15, F16)
12d = 0.060 (F1, F2, F4, F5, F7, F8, F10, F11, F12, F13, F14, F15)d = 0.145 (F2, F3, F4, F6, F7, F9, F10, F11, F12, F14, F15, F17)
13d = 0.078; all features were selected except F6, F9, F12, F17d = 0.150; all features were selected except F1, F6, F8, F13
14d = 0.110; all features were selected except F6, F16, F17d = 0.171; all features were selected except F5, F8, F13
15d = 0.167; all features were selected except F10, F14d = 0.271; all features were selected except F10, F14
16d = 0.168; all features were selected except F14d = 0.272; all features were selected except F14
17d = 0.168; all features were selectedd = 0.272; all features were selected
  • The d values in the columns represent the minimum d values between the physical and the visual/tactile perceptual space for a different combination of features. The best fit quality between physical and visual perceptual spaces occurred when the ten features F1, F2, F4, F5, F7, F8, F11, F13, F14, F15 were selected. On the other hand, the combination of the seven features F2, F4, F5, F11, F13, F15, F17 lead to the best fit quality between physical and tactile perceptual spaces. These two modalities share the features F2, F4, F5, F11, F13, F15. (Extended Data Table 2-1).