# Recognition of Blinks Activity Patterns during Stress Conditions Using CNN and Markovian Analysis
## 4 Results
### Markovian Analysis
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**1 st Experiment** & **Social Exposure** & \(S_{ij}\) & \(p_{ij}(95\%\) _confidence interval_) & \(P_{ij}^{(0)}\) & \(X^{2}\) \\ \hline
**Neutral** & & & & **8.16** \\
1, 1.5-S & 150 & 0.81 (0.7754\(-\)0.8375) & 0.78 & \\
1, 2.5-L & 36 & 0.19 (0.1625\(-\)0.2246) & 0.22 & \\
2, 1 L-S & 32 & 0.60 (0.5488\(-\)0.6587) & 0.77 & \\
2, 2 L-L & 21 & 0.40 (0.3413\(-\)0.4512) & 0.22 & \\
**Stressed** & & & & **28.08** \\
1, 1.5-S & 441 & 0.77 (0.7572\(-\)0.7929) & 0.75 & \\
1, 2.5-L & 128 & 0.23 (0.2071\(-\)0.2428) & 0.25 & \\
2, 1 L-S & 123 & 0.65 (0.6234\(-\)0.6851) & 0.75 & \\
2, 2 L-L & 65 & 0.35 (0.3149\(-\)0.3766) & 0.25 & \\
**Emotional recall** & & & & **11.07** \\
**Neutral** & & & & **12.57** \\
1, 1.5-S & 105 & 0.77 (0.7563\(-\)0.78190) & 0.69 & \\
1, 2.5-L & 30 & 0.22 (0.1810\(-\)0.2635) & 0.31 & \\
2, 1 L-S & 26 & 0.43 (0.3707\(-\)0.4817) & 0.69 & \\
2, 2 L-L & 35 & 0.57 (0.5183\(-\)0.6293) & 0.31 & \\
**Stressed** & & & & **36.73** \\
1, 1.5-S & 288 & 0.79 (0.7272\(-\)0.8184) & 0.76 & \\
1, 2.5-L & 74 & 0.20 (0.1816\(-\)0.2273) & 0.23 & \\
2, 1 L-S & 65 & 0.61 (0.5788\(-\)0.6693) & 0.76 & \\
2, 2 L-L & 40 & 0.39 (0.3407\(-\)0.4212) & 0.23 & \\
**Stressed** & & & & **24.57** \\
1, 1.5-S & 794 & 0.76 (0.7503\(-\)0.7781) & 0.70 & \\
1, 2.5-L & 245 & 0.24 (0.2219\(-\)0.2497) & 0.30 & \\
2, 1 L-S & 254 & 0.57 (0.5500\(-\)0.5915) & 0.70 & \\
2, 2 L-L & 191 & 0.43 (0.4085\(-\)0.4500) & 0.30 & \\
**Stressed videos** & & & & **120.54** \\
**Neutral** & & & & **1.15-S \\
1, 1.5-S & 481 & 0.78 (0.7629\(-\)0.8014) & 0.67 & \\
1, 2.5-L & 134 & 0.22 (0.1986\(-\)0.2371) & 0.33 & \\
2, 1 L-S & 136 & 0.45 (0.4218\(-\)0.4759) & 0.67 & \\
2, 2 L-L & 167 & 0.55 (0.5241\(-\)0.5782) & 0.33 & \\
**Stressed** & & & & **35.29** \\
1, 1.5-S & 641 & 0.71 (0.6933\(-\)0.7265) & 0.63 & \\
1, 2.5-L & 262 & 0.29 (0.2735\(-\)0.3067) & 0.37 & \\
2, 1 L-S & 261 & 0.49 (0.4691\(-\)0.5103) & 0.63 & \\
2, 2.2 L-L & 272 & 0.51 (0.4897\(-\)0.5309) & 0.37 & \\ \hline
**2 nd Experiment** & **Social Exposure** & & & **20.67** \\ \hline
**Neutral** & & & & **20.67** \\
1, 1.5-S & 256 & 0.74 (0.7134\(-\)0.7663) & 0.66 & \\
1, 2.5-L & 90 & 0.26 (0.2337\(-\)0.2866) & 0.34 & \\
2, 1 L-S & 86 & 0.48 (0.4397\(-\)0.5106) & 0.66 & \\
2, 2 L-L & 95 & 0.53 (0.4894\(-\)0.5603) & 0.34 & \\
**Stressed** & & & & **33.28** \\
1, 1.5-S & 642 & 0.86 (0.8484\(-\)0.8751) & 0.84 & \\
1, 2S-L & 103 & 0.14 (0.1249\(-\)0.1516) & 0.16 & \\
2, 1 L-S & 97 & 0.70 (0.6712\(-\)0.7346) & 0.84 & \\
2, 2 L-L & 41 & 0.30 (0.2654\(-\)0.3288) & 0.16 & \\
**Emotional recall** & & & & **37.07** \\
**Neutral** & & & & **1.15-S \\
1, 1.5-S & 311 & 0.78 (0.7564\(-\)0.8025) & 0.69 & \\
1, 2.5-L & 88 & 0.22 (0.1975\(-\)0.2436) & 0.31 & \\
2, 1 L-S & 87 & 0.49 (0.4600\(-\)0.5286) & 0.69 & \\
2, 2 L-L & 89 & 0.51 (0.4714\(-\)0.5400) & 0.31 & \\
**Stressed** & & & & **61.40** \\
1, 1.5-S & 583 & 0.76 (0.7419\(-\)0.7763) & 0.72 & \\
1, 2.5-L & 185 & 0.24 (0.2237\(-\)0.2581) & 0.28 & \\
2, 1 L-S & 186 & 0.51 (0.4845\(-\)0.5319) & 0.72 & \\
2, 2 L-L & 180 & 0.49 (0.4681\(-\)0.51 Furthermore, Table 6 shows that \(P_{11}\) and \(P_{22}\) are significantly higher than the corresponding \(P_{11}^{(0)}\) and \(P_{22}^{(0)}\), for all experiments, phases and tasks--except, marginally, for \(P_{11}\) for experiment 1, social exposure phase, neutral task--while \(P_{12}\) and \(P_{21}\) are significantly lower than the corresponding \(P_{12}^{(0)}\) and \(P_{21}^{(0)}\), based on their 95% confidence intervals as presented in Table 6. These results provide an indication that state 1 and state 2 can be characterized as \"auto-attractors\", meaning that the blink generation system has a tendency to either maintain short IBIs (state 1) or long IBIs (state 2), while avoiding transitions from one state to the other.