Table 2.

For each subject, we show the estimated negative entropy, the corresponding estimated upper bound on the prediction accuracy of any model, the estimated 95% confidence interval of the negative cross-entropy of the Opt model, and the corresponding confidence interval of prediction accuracy. The p value is the estimated probability that the negative cross-entropy is equal to or higher than the negative entropy (with higher being theoretically impossible).

ID	Negative entropy	Prediction accuracy upper bound	95% CI of negative cross-entropy of Opt	95% CI of prediction accuracy of Opt	95% CI of DKL	p value
1	−492	0.61	[−494, −433]	[0.61, 0.65]	[−59, −2]	0.97
2	−470	0.63	[−508, −455]	[0.60, 0.63]	[−15, 38]	0.20
3	−599	0.55	[−632, −590]	[0.53, 0.55]	[−9, 33]	0.14
4	−458	0.63	[−510, −440]	[0.60, 0.64]	[−18, 52]	0.17
5	−448	0.64	[−491, −444]	[0.61, 0.64]	[−4, 43]	0.05
6	−537	0.58	[−545, −482]	[0.58, 0.62]	[−55, 8]	0.92
7	−419	0.66	[−478, −411]	[0.62, 0.66]	[−8, 59]	0.07
8	−376	0.69	[−435, −364]	[0.64, 0.69]	[−8, 59]	0.10
9	−414	0.66	[−476, −418]	[0.62, 0.66]	[4, 64]	0.02