Correlations among Fatigue Indicators, Subjective Perception of Fatigue, and Workload Settings in Flight Operations
Abstract
:1. Introduction
2. Background on Research Related to the Impact of Fatigue in Flight Operations
- Subjective fatigue scales (Samn Perelli, Karolinska);
- Psychomotor vigilance tests;
- Actigraphy;
- Predictive models (biomathematical algorithms);
- Sleep diaries.
3. Data Collection and Methods
3.1. Collecting Data on Flight Crew Fatigue—Objectivation Methods
- Perception, i.e., responding to changes in the attributes of sound and light signals;
- Differentiation, i.e., distinguishing the features of light and sound signals and visual constructs (characters);
- Recognition (identification), i.e., extracting content from an unstructured stimulus context;
- Visual orientation, i.e., navigating in space using the visual landmarks, finding the latent location of a signal, etc.;
- Spatial visualization, i.e., recognition of characters rotated in space;
- Short-term operational memory, i.e., coverage of sensory memory, the ability to update short-term operational memory;
- Learning, i.e., memorizing a path through a maze with nine alternative choice points;
- Operational opinion, i.e., coordinated action of the hands and feet according to patterns of light and sound stimuli;
- Conclusion (reasoning);
- Discovering relationships (AHA-phenomenon);
- Convergent thinking;
- Troubleshooting;
- Simple reactions of individual limbs to different attributes (volume, frequency) of light and sound stimuli (by pressing or releasing pedal buttons); and
- Complex psychomotor reactions of different combinations of extremities (arms and legs) to different complex sets of light and sound signals.
- CRD 13: Spatial visualization test;
- CRD 241: Identifying progressive series of numbers;
- CRD 23: Complex convergent visual orientation;
- CRD 324: Actualization of short-term memory;
- CRD 422: Operative thinking with sound stimuli.
- Each test was recorded with a camera;
- Each test was preceded by a short practice task;
- There were no breaks between tests;
- The results and tactics of solving the task could be discussed with the subjects;
- Every test started with the call “NOW”–“GET READY, WE BEGIN, NOW!”
- Workload (flight hours, duty hours, rest periods, number of sectors);
- Time of the day (when the CRD tests were performed; this was used to study the influence of circadian rhythm);
- Subjective self-assessments (results of the subjective perception of fatigue, considered to be both independent and dependent variables).
- CRD fatigue indicators (results of the CRD tests);
- Subjective self-assessments (results of the subjective perception of fatigue, considered to be both independent and dependent variables).
- Time of the day (consisting of one indicator: Time of the day);
- Start or end of the shift (consisting of one indicator: Check In/Check Out);
- Days off (consisting of three indicators: Number of days (F) in the previous 7 days, Number of days (F) in the previous 28 days, and Number of days (F) in the previous 28 days);
- Rest (consisting of four indicators: Rest length, Local night, Number of local nights in the 48 h before flight duty, and Changes in schedule);
- Cumulative workload (consisting of six indicators: Sectors in the previous 7 days, Sectors in the previous 28 days, Flight time in the previous 7 days, Flight time in the previous 28 days, Duty time in the previous 7 days, and Duty time in the previous 28 days);
- Individual flight duty (consisting of eight indicators: Flight duty time, Duty time, Flight time in flight duty, Average duration of a sector, Average duration of aircraft ground handling, Split duty, Change of aircraft during flight duty period, and Multi-day shifts);
- Subjective self-assessment (consisting of four indicators: Self-assessment of emotional state, Self-assessment of energy level, Self-assessment of self-confidence, and Self-assessment of anxiety level).
3.2. Statistical Analysis of Collected Data on Flight Crew Fatigue
3.3. Causal Modeling Methods
4. Results
4.1. Statistical Analysis Results of Flight Crew Fatigue Indicators
- Time of day when the measurement was made, i.e., how the time of day when the measurement was conducted affects the dynamics of mental processing;
- The beginning or the end of the shift, i.e., the dynamics of mental processing at the beginning or end of the shift;
- Subjective scales of self-assessment (scales of the energy level, emotional state, self-confidence, and anxiety level), i.e., the dynamics of mental processing in relation to a subject’s subjective self-assessment;
- Days off, i.e., the influence of the number of days off on the dynamics of mental processing;
- Rest, i.e., the influence of fatigue on the dynamics of mental processing;
- Cumulative workload, i.e., the impact of cumulative workload on the dynamics of mental processing;
- Individual flight duty, i.e., the influence of the elements of individual flight duty on the dynamics of mental processing.
- Speed indicators: Ttot, Tmin and Tmax;
- Stability indicators: Btot, Bin, Bfin and Bfin/Bin;
- Reliability indicator: Nerr.
4.2. Correlations among Fatigue Indicators, Subjective Self-assessments, and Workload Settings Using Temporal Causal Modeling
5. Discussion
6. Conclusions
7. Limitations and Future Research
Author Contributions
Funding
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A
CRD Test | CRD Test ID | Time of Day | Start or End of the Shift (CI/CO) | Number of Days off in the Previous 7 Days | Number of Days off in the Previous 28 Days | Number of Individual Days off in the Previous 28 Days | Rest Length | Local Night in a Daily Rest | Number of Local Nights in the 48 h before Flight Duty | Changes in the Schedule in the Previous 7 Days by More Than 1 h | Sectors in the Previous 7 Days | Sectors in the Previous 28 Days | Flight Time in the Previous 7 Days | Flight Time in the Previous 28 Days | Duty Time in the Previous 7 Days | Duty Time in the Previous 28 Days | Flight Duty Time | Duty Time | Flight Time in Flight Duty | Average Duration of a Sector (from Number of Sectors) | Average Duration of Aircraft Ground Handling | Split Duty | Change of Aircraft during Flight Duty Period | Multi-Day Shifts | Self-Assessment of the Emotional State | Self-Assessment of the Energy Level | Self-Assessment of Self-Confidence | Self-Assessment of the Anxiety Level | Number of Errors (Nerr) | Total Time (Ttot) | Minimum Time (Tmin) | Maximum Time (Tmax) | Total Ballast (Btot) | Initial Ballast (Bin) | Final Ballast (Bfin) | Fatigue Index (Bfin/Bin) |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
X1 | X2 | X3 | X4 | X5 | X6 | X7 | X8 | X9 | X10 | X11 | X12 | X13 | X14 | X15 | X16 | X17 | X18 | X19 | X20 | X21 | X22 | X23 | S1 | S2 | S3 | S4 | Y1 | Y2 | Y3 | Y4 | Y5 | Y6 | Y7 | Y8 | ||
CRD13 | 1325 | 17.43 | 1 | 1 | 5 | 3 | 14.50 | 1 | 2 | 0 | 6 | 30 | 6.22 | 39.22 | 20.65 | 80.02 | 9.43 | 9.93 | 4.65 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 2 | 29.831 | 464 | 1.388 | 13.591 | 5.989 | 7.602 | 1.2693 |
CRD23 | 1327 | 17.43 | 1 | 1 | 5 | 3 | 14.50 | 1 | 2 | 0 | 6 | 30 | 6.22 | 39.22 | 20.65 | 80.02 | 9.43 | 9.93 | 4.65 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 1 | 44.551 | 1.038 | 1.746 | 8.221 | 3.990 | 4.231 | 1.0604 |
CRD324 | 1328 | 17.43 | 1 | 1 | 5 | 3 | 14.50 | 1 | 2 | 0 | 6 | 30 | 6.22 | 39.22 | 20.65 | 80.02 | 9.43 | 9.93 | 4.65 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 0 | 18.181 | 130 | 801 | 10.381 | 5.871 | 4.510 | 0.7682 |
CRD13 | 1040 | 14.98 | 1 | 5 | 13 | 0 | 15.25 | 1 | 2 | 0 | 0 | 25 | 0.00 | 27.80 | 16.00 | 118.25 | 7.23 | 7.73 | 4.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 1 | 35.519 | 659 | 1.963 | 12.454 | 5.418 | 7.037 | 1.2988 |
CRD23 | 1042 | 14.98 | 1 | 5 | 13 | 0 | 15.25 | 1 | 2 | 0 | 0 | 25 | 0.00 | 27.80 | 16.00 | 118.25 | 7.23 | 7.73 | 4.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 1 | 52.686 | 1.155 | 2.337 | 12.261 | 3.513 | 8.749 | 2.4907 |
CRD241 | 1041 | 14.98 | 1 | 5 | 13 | 0 | 15.25 | 1 | 2 | 0 | 0 | 25 | 0.00 | 27.80 | 16.00 | 118.25 | 7.23 | 7.73 | 4.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 1 | 88.917 | 325 | 18.658 | 75.917 | 31.621 | 44.296 | 1.4008 |
CRD324 | 1043 | 14.98 | 1 | 5 | 13 | 0 | 15.25 | 1 | 2 | 0 | 0 | 25 | 0.00 | 27.80 | 16.00 | 118.25 | 7.23 | 7.73 | 4.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 1 | 23.516 | 181 | 781 | 12.656 | 6.957 | 5.699 | 0.8192 |
CDR422 | 1044 | 14.98 | 1 | 5 | 13 | 0 | 15.25 | 1 | 2 | 0 | 0 | 25 | 0.00 | 27.80 | 16.00 | 118.25 | 7.23 | 7.73 | 4.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 0 | 12.019 | 225 | 789 | 4.144 | 1.764 | 2.381 | 1.3499 |
CRD13 | 1335 | 17.77 | 1 | 2 | 6 | 3 | 63.25 | 1 | 2 | 1 | 9 | 38 | 9.50 | 47.88 | 52.10 | 166.98 | 10.02 | 10.52 | 7.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 6 | 0 | 33.117 | 625 | 2.070 | 11.242 | 7.365 | 3.878 | 0.5265 |
CRD23 | 1337 | 17.77 | 1 | 2 | 6 | 3 | 63.25 | 1 | 2 | 1 | 9 | 38 | 9.50 | 47.88 | 52.10 | 166.98 | 10.02 | 10.52 | 7.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 6 | 5 | 47.187 | 817 | 1.922 | 18.592 | 12.382 | 6.211 | 0.5016 |
CRD241 | 1336 | 17.77 | 1 | 2 | 6 | 3 | 63.25 | 1 | 2 | 1 | 9 | 38 | 9.50 | 47.88 | 52.10 | 166.98 | 10.02 | 10.52 | 7.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 6 | 0 | 69.316 | 180 | 5.898 | 62.116 | 35.460 | 26.656 | 0.7517 |
CRD324 | 1338 | 17.77 | 1 | 2 | 6 | 3 | 63.25 | 1 | 2 | 1 | 9 | 38 | 9.50 | 47.88 | 52.10 | 166.98 | 10.02 | 10.52 | 7.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 6 | 0 | 17.251 | 140 | 605 | 8.851 | 4.620 | 4.231 | 0.9158 |
CRD13 | 990 | 15.03 | 1 | 4 | 11 | 0 | 15.50 | 1 | 2 | 0 | 0 | 23 | 0.00 | 28.00 | 22.00 | 131.78 | 7.03 | 7.53 | 3.95 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 0 | 36.243 | 749 | 1.657 | 10.028 | 5.145 | 4.884 | 0.9493 |
CRD23 | 992 | 15.03 | 1 | 4 | 11 | 0 | 15.50 | 1 | 2 | 0 | 0 | 23 | 0.00 | 28.00 | 22.00 | 131.78 | 7.03 | 7.53 | 3.95 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 2 | 49.306 | 1.153 | 1.752 | 8.951 | 4.722 | 4.230 | 0.8958 |
CRD241 | 991 | 15.03 | 1 | 4 | 11 | 0 | 15.50 | 1 | 2 | 0 | 0 | 23 | 0.00 | 28.00 | 22.00 | 131.78 | 7.03 | 7.53 | 3.95 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 1 | 78.140 | 366 | 8.268 | 63.500 | 40.613 | 22.887 | 0.5635 |
CRD324 | 993 | 15.03 | 1 | 4 | 11 | 0 | 15.50 | 1 | 2 | 0 | 0 | 23 | 0.00 | 28.00 | 22.00 | 131.78 | 7.03 | 7.53 | 3.95 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 0 | 22.530 | 137 | 810 | 14.310 | 7.916 | 6.394 | 0.8077 |
CDR422 | 994 | 15.03 | 1 | 4 | 11 | 0 | 15.50 | 1 | 2 | 0 | 0 | 23 | 0.00 | 28.00 | 22.00 | 131.78 | 7.03 | 7.53 | 3.95 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 1 | 12.475 | 252 | 520 | 3.655 | 1.657 | 1.998 | 1.2058 |
CDR422 | 1339 | 17.77 | 1 | 2 | 6 | 3 | 63.25 | 1 | 2 | 1 | 9 | 38 | 9.50 | 47.88 | 52.10 | 166.98 | 10.02 | 10.52 | 7.00 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 6 | 0 | 11.353 | 239 | 513 | 2.988 | 1.700 | 1.289 | 0.7582 |
CDR422 | 1329 | 17.43 | 1 | 1 | 5 | 3 | 14.50 | 1 | 2 | 0 | 6 | 30 | 6.22 | 39.22 | 20.65 | 80.02 | 9.43 | 9.93 | 4.65 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 4 | 12.059 | 274 | 454 | 2.469 | 1.265 | 1.204 | 0.9518 |
CRD13 | 579 | 17.27 | 1 | 1 | 8 | 2 | 17.47 | 1 | 1 | 1 | 17 | 47 | 27.77 | 75.18 | 49.05 | 160.68 | 9.52 | 10.02 | 6.25 | 4 | 3 | 0.00 | 0 | 0 | 6 | 4 | 6 | 5 | 0 | 47.012 | 752 | 3.182 | 20.692 | 9.528 | 11.164 | 1.1717 |
CRD23 | 581 | 17.27 | 1 | 1 | 8 | 2 | 17.47 | 1 | 1 | 1 | 17 | 47 | 27.77 | 75.18 | 49.05 | 160.68 | 9.52 | 10.02 | 6.25 | 4 | 3 | 0.00 | 0 | 0 | 6 | 4 | 6 | 5 | 7 | 88.297 | 1.055 | 7.970 | 51.372 | 19.314 | 32.059 | 1.6599 |
CRD241 | 580 | 17.27 | 1 | 1 | 8 | 2 | 17.47 | 1 | 1 | 1 | 17 | 47 | 27.77 | 75.18 | 49.05 | 160.68 | 9.52 | 10.02 | 6.25 | 4 | 3 | 0.00 | 0 | 0 | 6 | 4 | 6 | 5 | 1 | 103.010 | 266 | 11.545 | 92.370 | 36.729 | 55.641 | 1.5149 |
CRD324 | 582 | 17.27 | 1 | 1 | 8 | 2 | 17.47 | 1 | 1 | 1 | 17 | 47 | 27.77 | 75.18 | 49.05 | 160.68 | 9.52 | 10.02 | 6.25 | 4 | 3 | 0.00 | 0 | 0 | 6 | 4 | 6 | 5 | 0 | 27.882 | 269 | 802 | 11.742 | 5.325 | 6.417 | 1.2051 |
CDR422 | 583 | 17.27 | 1 | 1 | 8 | 2 | 17.47 | 1 | 1 | 1 | 17 | 47 | 27.77 | 75.18 | 49.05 | 160.68 | 9.52 | 10.02 | 6.25 | 4 | 3 | 0.00 | 0 | 0 | 6 | 4 | 6 | 5 | 1 | 13.185 | 233 | 637 | 5.030 | 2.598 | 2.433 | 0.9365 |
CRD13 | 1000 | 17.47 | 1 | 3 | 11 | 0 | 16.47 | 1 | 2 | 0 | 4 | 27 | 3.95 | 31.95 | 29.53 | 131.73 | 9.47 | 9.97 | 4.62 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 0 | 36.384 | 750 | 2.054 | 10.134 | 6.247 | 3.887 | 0.6222 |
CRD23 | 1002 | 17.47 | 1 | 3 | 11 | 0 | 16.47 | 1 | 2 | 0 | 4 | 27 | 3.95 | 31.95 | 29.53 | 131.73 | 9.47 | 9.97 | 4.62 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 3 | 50.961 | 1.158 | 1.933 | 10.431 | 2.658 | 7.773 | 2.9244 |
CRD241 | 1001 | 17.47 | 1 | 3 | 11 | 0 | 16.47 | 1 | 2 | 0 | 4 | 27 | 3.95 | 31.95 | 29.53 | 131.73 | 9.47 | 9.97 | 4.62 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 0 | 74.526 | 265 | 6.275 | 63.926 | 32.960 | 30.966 | 0.9395 |
CRD324 | 1003 | 17.47 | 1 | 3 | 11 | 0 | 16.47 | 1 | 2 | 0 | 4 | 27 | 3.95 | 31.95 | 29.53 | 131.73 | 9.47 | 9.97 | 4.62 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 0 | 22.416 | 193 | 789 | 10.836 | 6.061 | 4.775 | 0.7878 |
CDR422 | 1004 | 17.47 | 1 | 3 | 11 | 0 | 16.47 | 1 | 2 | 0 | 4 | 27 | 3.95 | 31.95 | 29.53 | 131.73 | 9.47 | 9.97 | 4.62 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 0 | 12.500 | 279 | 678 | 2.735 | 1.456 | 1.280 | 0.8791 |
CRD13 | 1296 | 17.48 | 1 | 1 | 5 | 3 | 15.50 | 1 | 2 | 0 | 8 | 24 | 8.15 | 33.00 | 30.73 | 121.65 | 9.48 | 9.98 | 4.62 | 4 | 4 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 0 | 32.147 | 626 | 1.864 | 10.237 | 4.262 | 5.975 | 1.4019 |
CRD23 | 1298 | 17.48 | 1 | 1 | 5 | 3 | 15.50 | 1 | 2 | 0 | 8 | 24 | 8.15 | 33.00 | 30.73 | 121.65 | 9.48 | 9.98 | 4.62 | 4 | 4 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 6 | 54.279 | 1.097 | 1.657 | 15.884 | 9.469 | 6.416 | 0.6776 |
CRD241 | 1297 | 17.48 | 1 | 1 | 5 | 3 | 15.50 | 1 | 2 | 0 | 8 | 24 | 8.15 | 33.00 | 30.73 | 121.65 | 9.48 | 9.98 | 4.62 | 4 | 4 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 0 | 69.486 | 145 | 14.392 | 63.686 | 27.996 | 35.690 | 1.2748 |
CRD324 | 1299 | 17.48 | 1 | 1 | 5 | 3 | 15.50 | 1 | 2 | 0 | 8 | 24 | 8.15 | 33.00 | 30.73 | 121.65 | 9.48 | 9.98 | 4.62 | 4 | 4 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 0 | 21.701 | 185 | 852 | 10.601 | 5.970 | 4.631 | 0.7757 |
CRD13 | 1375 | 17.43 | 1 | 5 | 9 | 3 | 111.00 | 1 | 2 | 1 | 4 | 30 | 7.00 | 35.58 | 18.52 | 142.87 | 9.43 | 9.93 | 4.48 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 1 | 29.850 | 605 | 1.298 | 8.675 | 3.888 | 4.788 | 1.2315 |
CRD23 | 1377 | 17.43 | 1 | 5 | 9 | 3 | 111.00 | 1 | 2 | 1 | 4 | 30 | 7.00 | 35.58 | 18.52 | 142.87 | 9.43 | 9.93 | 4.48 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 6 | 46.493 | 905 | 2.044 | 14.818 | 5.293 | 9.526 | 1.7998 |
CRD241 | 1376 | 17.43 | 1 | 5 | 9 | 3 | 111.00 | 1 | 2 | 1 | 4 | 30 | 7.00 | 35.58 | 18.52 | 142.87 | 9.43 | 9.93 | 4.48 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 0 | 53.042 | 226 | 5.077 | 44.002 | 21.856 | 22.146 | 1.0133 |
CRD324 | 1378 | 17.43 | 1 | 5 | 9 | 3 | 111.00 | 1 | 2 | 1 | 4 | 30 | 7.00 | 35.58 | 18.52 | 142.87 | 9.43 | 9.93 | 4.48 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 0 | 16.935 | 135 | 616 | 8.835 | 4.717 | 4.118 | 0.8730 |
CDR422 | 1300 | 17.48 | 1 | 1 | 5 | 3 | 15.50 | 1 | 2 | 0 | 8 | 24 | 8.15 | 33.00 | 30.73 | 121.65 | 9.48 | 9.98 | 4.62 | 4 | 4 | 0.00 | 0 | 0 | 8 | 6 | 8 | 8 | 2 | 10.612 | 221 | 437 | 2.877 | 1.786 | 1.092 | 0.6113 |
CDR422 | 1379 | 17.43 | 1 | 5 | 9 | 3 | 111.00 | 1 | 2 | 1 | 4 | 30 | 7.00 | 35.58 | 18.52 | 142.87 | 9.43 | 9.93 | 4.48 | 4 | 3 | 0.00 | 0 | 0 | 8 | 6 | 8 | 7 | 1 | 11.088 | 233 | 463 | 2.933 | 1.277 | 1.657 | 1.2977 |
CRD13 | 836 | 16.07 | 1 | 3 | 7 | 4 | 154.00 | 1 | 2 | 0 | 0 | 34 | 0.00 | 64.87 | 10.00 | 99.38 | 6.57 | 7.07 | 4.05 | 2 | 1 | 0.00 | 0 | 0 | 7 | 6 | 7 | 8 | 0 | 39.709 | 685 | 1.912 | 15.734 | 7.039 | 8.696 | 1.2354 |
CRD13 | 980 | 16.30 | 1 | 2 | 8 | 2 | 16.63 | 1 | 1 | 1 | 12 | 32 | 20.35 | 54.35 | 36.82 | 161.27 | 8.30 | 13.72 | 5.47 | 3 | 2 | 0.00 | 0 | 0 | 6 | 5 | 6 | 6 | 0 | 41.213 | 640 | 2.446 | 18.813 | 7.247 | 11.566 | 1.5960 |
CRD23 | 838 | 16.07 | 1 | 3 | 7 | 4 | 154.00 | 1 | 2 | 0 | 0 | 34 | 0.00 | 64.87 | 10.00 | 99.38 | 6.57 | 7.07 | 4.05 | 2 | 1 | 0.00 | 0 | 0 | 7 | 6 | 7 | 8 | 11 | 80.554 | 908 | 4.839 | 48.774 | 19.088 | 29.686 | 1.5552 |
CRD23 | 982 | 16.30 | 1 | 2 | 8 | 2 | 16.63 | 1 | 1 | 1 | 12 | 32 | 20.35 | 54.35 | 36.82 | 161.27 | 8.30 | 13.72 | 5.47 | 3 | 2 | 0.00 | 0 | 0 | 6 | 5 | 6 | 6 | 2 | 57.556 | 687 | 3.396 | 33.511 | 15.558 | 17.954 | 1.1540 |
CRD241 | 837 | 16.07 | 1 | 3 | 7 | 4 | 154.00 | 1 | 2 | 0 | 0 | 34 | 0.00 | 64.87 | 10.00 | 99.38 | 6.57 | 7.07 | 4.05 | 2 | 1 | 0.00 | 0 | 0 | 7 | 6 | 7 | 8 | 1 | 89.615 | 323 | 12.129 | 76.695 | 46.769 | 29.926 | 0.6399 |
CRD241 | 981 | 16.30 | 1 | 2 | 8 | 2 | 16.63 | 1 | 1 | 1 | 12 | 32 | 20.35 | 54.35 | 36.82 | 161.27 | 8.30 | 13.72 | 5.47 | 3 | 2 | 0.00 | 0 | 0 | 6 | 5 | 6 | 6 | 2 | 107.492 | 289 | 12.337 | 95.932 | 42.904 | 53.028 | 1.2360 |
CRD324 | 983 | 16.30 | 1 | 2 | 8 | 2 | 16.63 | 1 | 1 | 1 | 12 | 32 | 20.35 | 54.35 | 36.82 | 161.27 | 8.30 | 13.72 | 5.47 | 3 | 2 | 0.00 | 0 | 0 | 6 | 5 | 6 | 6 | 0 | 28.876 | 162 | 865 | 19.156 | 9.981 | 9.175 | 0.9192 |
CRD324 | 839 | 16.07 | 1 | 3 | 7 | 4 | 154.00 | 1 | 2 | 0 | 0 | 34 | 0.00 | 64.87 | 10.00 | 99.38 | 6.57 | 7.07 | 4.05 | 2 | 1 | 0.00 | 0 | 0 | 7 | 6 | 7 | 8 | 4 | 27.507 | 272 | 1.867 | 11.187 | 8.110 | 3.077 | 0.3794 |
CDR422 | 840 | 16.07 | 1 | 3 | 7 | 4 | 154.00 | 1 | 2 | 0 | 0 | 34 | 0.00 | 64.87 | 10.00 | 99.38 | 6.57 | 7.07 | 4.05 | 2 | 1 | 0.00 | 0 | 0 | 7 | 6 | 7 | 8 | 2 | 13.246 | 266 | 563 | 3.936 | 1.729 | 2.207 | 1.2765 |
CDR422 | 984 | 16.30 | 1 | 2 | 8 | 2 | 16.63 | 1 | 1 | 1 | 12 | 32 | 20.35 | 54.35 | 36.82 | 161.27 | 8.30 | 13.72 | 5.47 | 3 | 2 | 0.00 | 0 | 0 | 6 | 5 | 6 | 6 | 0 | 16.244 | 293 | 765 | 5.989 | 2.608 | 3.382 | 1.2968 |
CRD13 | 921 | 17.45 | 1 | 3 | 16 | 1 | 71.83 | 1 | 2 | 1 | 10 | 12 | 14.38 | 16.13 | 30.58 | 88.07 | 9.45 | 9.95 | 4.65 | 4 | 3 | 0.00 | 0 | 0 | 7 | 7 | 7 | 7 | 0 | 35.086 | 678 | 1.672 | 11.356 | 5.698 | 5.658 | 0.9930 |
CRD13 | 1214 | 15.77 | 1 | 2 | 13 | 4 | 16.33 | 0 | 1 | 0 | 2 | 24 | 3.32 | 28.83 | 25.93 | 57.98 | 9.93 | 11.92 | 5.10 | 3 | 2 | 0.00 | 0 | 0 | 6 | 6 | 6 | 6 | 0 | 33.632 | 649 | 1.509 | 10.917 | 4.814 | 6.104 | 1.2680 |
CRD13 | 1224 | 15.28 | 1 | 2 | 12 | 4 | 14.00 | 1 | 1 | 0 | 5 | 27 | 8.42 | 33.93 | 35.35 | 104.92 | 7.53 | 8.03 | 1.87 | 2 | 1 | 0.00 | 0 | 0 | 7 | 7 | 7 | 7 | 0 | 30.269 | 610 | 1.579 | 8.919 | 3.745 | 5.174 | 1.3816 |
CRD13 | 1345 | 14.92 | 1 | 5 | 18 | 0 | 14.25 | 1 | 2 | 0 | 4 | 12 | 4.42 | 12.40 | 16.75 | 63.07 | 7.17 | 7.67 | 4.07 | 4 | 3 | 0.00 | 0 | 0 | 8 | 8 | 8 | 8 | 0 | 30.003 | 581 | 1.478 | 9.668 | 4.740 | 4.929 | 1.0399 |
CRD13 | 1679 | 17.65 | 1 | 3 | 15 | 0 | 90.67 | 1 | 2 | 0 | 12 | 34 | 12.97 | 37.80 | 31.37 | 94.22 | 6.48 | 6.98 | 3.48 | 4 | 3 | 0.00 | 0 | 0 | 7 | 7 | 7 | 7 | 0 | 30.617 | 618 | 1.298 | 8.987 | 3.320 | 5.667 | 1.7069 |
CRD13 | 1355 | 17.67 | 1 | 4 | 18 | 0 | 16.33 | 1 | 2 | 1 | 8 | 12 | 8.48 | 12.52 | 24.42 | 63.23 | 9.92 | 10.42 | 6.97 | 4 | 3 | 0.00 | 0 | 0 | 6 | 6 | 6 | 6 | 0 | 30.458 | 536 | 1.540 | 11.698 | 6.013 | 5.685 | 0.9455 |
CRD13 | 816 | 16.48 | 1 | 3 | 13 | 3 | 41.92 | 1 | 2 | 1 | 6 | 26 | 10.53 | 34.85 | 32.62 | 119.17 | 6.07 | 6.57 | 3.42 | 4 | 3 | 0.00 | 0 | 0 | 6 | 6 | 6 | 6 | 0 | 33.481 | 755 | 1.445 | 7.056 | 3.165 | 3.892 | 1.2297 |
CRD13 | 1649 | 17.52 | 1 | 3 | 17 | 0 | 22.93 | 1 | 1 | 1 | 14 | 30 | 17.72 | 34.00 | 30.82 | 79.37 | 6.35 | 6.85 | 3.80 | 4 | 3 | 0.00 | 0 | 0 | 7 | 7 | 7 | 7 | 0 | 29.321 | 594 | 1.366 | 8.531 | 3.594 | 4.937 | 1.3737 |
Appendix B
- Nothing particularly bothers me;
- I am sure of myself, and nothing disturbs me;
- I feel good, completely unforced;
- I am cool, self-confident and do not get excited.
CRD 13–Statistical Analysis
Rank | Subjective Self-Assessment of the Anxiety Level | N |
---|---|---|
6 | Nothing particularly bothers me. | 66 |
7 | I am sure of myself, and nothing disturbs me. | 51 |
8 | I feel good, completely unforced. | 113 |
9 | I am cool, self-confident and do not get excited. | 7 |
TOTAL | 237 |
Subjective Self-Assessment of the Anxiety Level | Rank 6 | Rank 7 | Rank 8 | Rank 9 | F | p |
---|---|---|---|---|---|---|
Ttot 13 average | 51.86608 | 49.45236 | 49.23956 | 48.81355 | 1.059602 | 0.367014 |
Tmin 13 average | 51.72231 | 49.95499 | 49.03078 | 50.32708 | 1.001294 | 0.393004 |
Tmax 13 average | 51.01929 | 49.95327 | 49.28599 | 52.35323 | 0.542388 | 0.653739 |
Btot 13 average | 51.49604 | 49.92260 | 49.38981 | 46.15887 | 0.969353 | 0.407900 |
Bin 13 average | 51.10484 | 50.48862 | 49.39312 | 45.64711 | 0.881197 | 0.451502 |
Bfin 13 average | 51.59082 | 49.40034 | 49.46050 | 47.98723 | 0.813211 | 0.487679 |
Nerr 13 average | 0.454545 | 0.607843 | 0.814159 | 0.714286 | 1.368159 | 0.253222 |
Bfin/Bin 13 average | 1.280427 | 1.191822 | 1.183713 | 1.349022 | 1.205296 | 0.308549 |
CRD 23–Statistical Analysis
Rank | Subjective Self-Assessment of the Anxiety Level | N |
---|---|---|
6 | Nothing particularly bothers me. | 66 |
7 | I am sure of myself, and nothing disturbs me. | 51 |
8 | I feel good, completely unforced. | 113 |
9 | I am cool, self-confident and do not get excited. | 7 |
TOTAL | 237 |
Subjective Self-Assessment of the Anxiety Level | Rank 6 | Rank 7 | Rank 8 | Rank 9 | F | p |
---|---|---|---|---|---|---|
Ttot 23 average | 48.85532 | 51.19790 | 50.26323 | 47.25375 | 0.725835 | 0.537478 |
Tmin 23 average | 49.51938 | 50.72190 | 50.16723 | 46.49723 | 0.429431 | 0.732104 |
Tmax 23 average | 48.95780 | 50.94257 | 50.00549 | 53.14966 | 0.613273 | 0.607021 |
Btot 23 average | 49.55692 | 51.23196 | 49.80738 | 47.31470 | 0.476483 | 0.698954 |
Bin 23 average | 50.14412 | 50.62698 | 49.78275 | 45.84474 | 0.485707 | 0.692533 |
Bfin 23 average | 49.06727 | 51.38598 | 49.97859 | 49.19941 | 0.525426 | 0.665224 |
Nerr 23 average | 2.545455 | 2.686275 | 2.938053 | 3.428571 | 0.476525 | 0.698924 |
Bfin/Bin 23 average | 1.294253 | 1.486982 | 1.658031 | 1.376961 | 4.351235 | 0.005263 *** |
Bfin/Bin 23 Average | 1.2943 | 1.4870 | 1.6580 | 1.3770 |
Subjective self-assessment of the anxiety level | 6 | 7 | 8 | 9 |
Rank 6 | - | 0.119042 | 0.000459 | 0.753108 |
Rank 7 | 0.119042 | - | 0.126228 | 0.679898 |
Rank 8 | 0.000459 | 0.126228 | - | 0.275881 |
Rank 9 | 0.753108 | 0.679898 | 0.275881 | - |
CRD 241–Statistical Analysis of Results
Rank | Subjective Self-Assessment of the Anxiety Level | N |
---|---|---|
6 | Nothing particularly bothers me. | 66 |
7 | I am sure of myself, and nothing disturbs me. | 50 |
8 | I feel good, completely unforced. | 112 |
9 | I am cool, self-confident and do not get excited. | 7 |
TOTAL | 235 |
Subjective Self-Assessment of the Anxiety Level | Rank 6 | Rank 7 | Rank 8 | Rank 9 | F | p |
---|---|---|---|---|---|---|
Ttot 241 average | 49.45133 | 50.98986 | 49.69860 | 53.22693 | 0.498932 | 0.683381 |
Tmin 241 average | 49.48946 | 53.54827 | 48.94247 | 46.58082 | 2.890495 | 0.036222 * |
Tmax 241 average | 49.93285 | 49.67687 | 50.00809 | 53.29366 | 0.266681 | 0.849374 |
Btot 241 average | 49.45550 | 50.54446 | 49.85829 | 53.81896 | 0.455337 | 0.713776 |
Bin 241 average | 49.96896 | 49.68779 | 49.65709 | 57.73228 | 1.451617 | 0.228573 |
Bfin 241 average | 49.00320 | 51.48192 | 50.09892 | 47.83915 | 0.688825 | 0.559694 |
Nerr 241 average | 0.439394 | 0.500000 | 0.464286 | 1.000000 | 1.061682 | 0.366133 |
Bfin/Bin 241 average | 0.975712 | 0.962235 | 0.922333 | 0.897471 | 0.331003 | 0.802941 |
Tmin 241 Average | 49.489 | 53.548 | 48.942 | 46.581 |
Subjective self-assessment of the anxiety level | 6 | 7 | 8 | 9 |
Rank 6 | - | 0.030140 | 0.722734 | 0.461611 |
Rank 7 | 0.030140 | - | 0.006841 | 0.083198 |
Rank 8 | 0.722734 | 0.006841 | - | 0.541868 |
Rank 9 | 0.461611 | 0.083198 | 0.541868 | - |
CRD 324–Statistical Analysis of Results
Rank | Subjective Self-Assessment of the Anxiety Level | N |
---|---|---|
6 | Nothing particularly bothers me. | 66 |
7 | I am sure of myself, and nothing disturbs me. | 51 |
8 | I feel good, completely unforced. | 113 |
9 | I am cool, self-confident and do not get excited. | 7 |
TOTAL | 237 |
Subjective Self-Assessment of the Anxiety Level | Rank 6 | Rank 7 | Rank 8 | Rank 9 | F | p |
---|---|---|---|---|---|---|
Ttot 324 average | 51.84290 | 49.75132 | 49.32941 | 45.17648 | 1.466267 | 0.224454 |
Tmin 324 average | 49.59915 | 51.18520 | 49.67281 | 50.21860 | 0.310190 | 0.818013 |
Tmax 324 average | 51.40444 | 47.38614 | 50.57715 | 47.27671 | 1.901583 | 0.130045 |
Btot 324 average | 51.91536 | 48.15078 | 50.02267 | 45.34265 | 1.900614 | 0.130205 |
Bin 324 average | 51.08235 | 47.56522 | 50.60690 | 48.16453 | 1.479798 | 0.220734 |
Bfin 324 average | 52.26834 | 48.91284 | 49.52223 | 44.31641 | 2.186888 | 0.090303 |
Nerr 324 average | 0.681818 | 0.509804 | 0.946903 | 0.714286 | 1.445621 | 0.230243 |
Bfin/Bin 324 average | 0.979237 | 0.965446 | 0.933093 | 0.813493 | 1.372237 | 0.251961 |
CRD 422–Statistical Analysis of Results
Rank | Subjective Self-Assessment of the Anxiety Level | N |
---|---|---|
6 | Nothing particularly bothers me. | 64 |
7 | I am sure of myself, and nothing disturbs me. | 49 |
8 | I feel good, completely unforced. | 107 |
9 | I am cool, self-confident and do not get excited. | 7 |
TOTAL | 227 |
Subjective Self-Assessment of the Anxiety Level | Rank 6 | Rank 7 | Rank 8 | Rank 9 | F | p |
---|---|---|---|---|---|---|
Ttot 422 average | 52.57760 | 48.59999 | 49.38563 | 44.61455 | 2.584625 | 0.054089 |
Tmin 422 average | 50.83371 | 49.97814 | 49.68369 | 45.98683 | 0.552553 | 0.646934 |
Tmax 422 average | 51.53672 | 47.83276 | 50.18826 | 47.56798 | 1.418019 | 0.238329 |
Btot 422 average | 52.93341 | 47.80840 | 49.48861 | 46.35976 | 3.078866 | 0.028367 * |
Bin 422 average | 51.58117 | 48.81983 | 49.69173 | 48.74770 | 0.822149 | 0.482857 |
Bfin 422 average | 53.46783 | 47.48592 | 49.37732 | 45.24409 | 4.418580 | 0.004846 *** |
Nerr 422 average | 1.359375 | 2.142857 | 2.925234 | 5.285714 | 5.877577 | 0.000704 *** |
Bfin/Bin 422 average | 1.486409 | 1.381196 | 1.334060 | 1.308132 | 1.464319 | 0.225126 |
Btot 422 Average | 52.933 | 47.808 | 49.489 | 46.360 |
Subjective self-assessment of the anxiety level | 6 | 7 | 8 | 9 |
Rank 6 | 0.006943 | 0.028825 | 0.097011 | |
Rank 7 | 0.006943 | 0.326633 | 0.717818 | |
Rank 8 | 0.028825 | 0.326633 | 0.419140 | |
Rank 9 | 0.097011 | 0.717818 | 0.419140 |
Appendix C
- 5.
- Duration of a sector from 00:40 to 01:01 h;
- 6.
- Duration of a sector from 01:03 to 01:23 h;
- 7.
- Duration of a sector from 01:25 to 01:45 h;
- 8.
- Duration of a sector from 01:46 to 03:35 h.
CRD 13–Statistical Analysis
No. | Average Duration of a Sector | N |
---|---|---|
1 | Duration of a sector from 00:40 to 01:01 h | 26 |
2 | Duration of a sector from 01:03 to 01:23 h | 33 |
3 | Duration of a sector from 01:25 to 01:45 h | 35 |
4 | Duration of a sector from 01:46 to 03:35 h | 25 |
TOTAL | 119 |
Average Duration of a Sector | 1. Duration of a Sector from 00:40 to 01:01 h | 2. Duration of a Sector from 01:03 to 01:23 h | 3. Duration of a Sector from 01:25 to 01:45 h | 4. Duration of a Sector from 01:46 to 03:35 h | F | p |
---|---|---|---|---|---|---|
Ttot 13 average | 46.21642 | 49.82100 | 52.18436 | 51.87311 | 2.139983 | 0.099010 |
Tmin 13 average | 46.56269 | 49.69505 | 52.19872 | 53.24869 | 2.166799 | 0.095745 |
Tmax 13 average | 47.42146 | 49.84274 | 51.08324 | 51.99670 | 0.965515 | 0.411618 |
Btot 13 average | 46.82196 | 50.14163 | 51.99055 | 50.97522 | 1.456805 | 0.230075 |
Bin 13 average | 47.13370 | 50.02517 | 51.86160 | 51.26841 | 1.322296 | 0.270584 |
Bfin 13 average | 47.27060 | 50.30616 | 51.53157 | 50.36400 | 0.943615 | 0.422077 |
Nerr 13 average | 0.230769 | 0.545455 | 0.742857 | 0.520000 | 1.277792 | 0.285383 |
Bfin/Bin 13 average | 1.214796 | 1.248883 | 1.124423 | 1.253408 | 0.775994 | 0.509711 |
CRD 23–Statistical Analysis
No. | Average Duration of a Sector | N |
---|---|---|
1 | Duration of a sector from 00:40 to 01:01 h | 26 |
2 | Duration of a sector from 01:03 to 01:23 h | 33 |
3 | Duration of a sector from 01:25 to 01:45 h | 35 |
4 | Duration of a sector from 01:46 to 03:35 h | 25 |
TOTAL | 119 |
Average Duration of a Sector | 1. Duration of a Sector from 00:40 to 01:01 h | 2. Duration of a Sector from 01:03 to 01:23 h | 3. Duration of a Sector from 01:25 to 01:45 h | 4. Duration of a Sector from 01:46 to 03:35 h | F | p |
---|---|---|---|---|---|---|
Ttot 23 average | 47.00635 | 49.75537 | 50.01389 | 50.66006 | 0.834626 | 0.477514 |
Tmin 23 average | 48.57642 | 50.86285 | 49.71041 | 51.27222 | 0.392667 | 0.758507 |
Tmax 23 average | 46.57376 | 50.25681 | 52.40167 | 49.26574 | 1.659819 | 0.179595 |
Btot 23 average | 47.55674 | 49.17855 | 50.53336 | 49.80169 | 0.531406 | 0.661632 |
Bin 23 average | 49.01254 | 48.68330 | 51.56244 | 49.69549 | 0.706245 | 0.550188 |
Bfin 23 average | 47.17548 | 49.73646 | 49.23677 | 50.02485 | 0.460498 | 0.710417 |
Nerr 23 average | 1.692308 | 2.333333 | 3.228571 | 3.280000 | 2.816381 | 0.042277 * |
Bfin/Bin 23 average | 1.318085 | 1.570940 | 1.427197 | 1.495067 | 0.745533 | 0.527098 |
Nerr 23 Average | 1.692308 | 2.333333 | 3.228571 | 3.280000 |
Average duration of a sector | 1 | 2 | 3 | 4 |
1. Duration of a sector from 00:40 to 01:01 h | - | 0.311167 | 0.015010 | 0.020025 |
2. Duration of a sector from 01:03 to 01:23 h | 0.311167 | - | 0.127440 | 0.140080 |
3. Duration of a sector from 01:25 to 01:45 h | 0.015010 | 0.127440 | - | 0.935005 |
4. Duration of a sector from 01:46 to 03:35 h | 0.020025 | 0.140080 | 0.935005 | - |
CRD 241–Statistical Analysis of Results
No. | Average Duration of a Sector | N |
---|---|---|
1 | Duration of a sector from 00:40 to 01:01 h | 26 |
2 | Duration of a sector from 01:03 to 01:23 h | 32 |
3 | Duration of a sector from 01:25 to 01:45 h | 35 |
h | Duration of a sector from 01:46 to 03:35 h | 25 |
TOTAL | 118 |
Average Duration of a Sector | 1. Duration of a Sector from 00:40 to 01:01 h | 2. Duration of a Sector from 01:03 to 01:23 h | 3. Duration of a Sector from 01:25 to 01:45 h | 4. Duration of a Sector from 01:46 to 03:35 h | F | p |
---|---|---|---|---|---|---|
Ttot 241 average | 46.40752 | 49.08085 | 51.20806 | 50.74141 | 1.409193 | 0.243768 |
Tmin 241 average | 47.47529 | 47.91140 | 52.49647 | 52.70048 | 2.222416 | 0.089358 |
Tmax 241 average | 46.81067 | 49.15896 | 52.28729 | 49.34677 | 1.478612 | 0.224121 |
Btot 241 average | 46.41095 | 49.38678 | 50.87664 | 50.47119 | 1.216198 | 0.307138 |
Bin 241 average | 46.48104 | 49.45775 | 51.18209 | 51.18078 | 1.538701 | 0.208329 |
Bfin 241 average | 47.52253 | 49.66491 | 50.45635 | 49.78640 | 0.459033 | 0.711447 |
Nerr 241 average | 0.269231 | 0.500000 | 0.485714 | 0.680000 | 1.261576 | 0.291004 |
Bfin/Bin 241 average | 0.874167 | 0.901808 | 0.999709 | 0.956845 | 0.656994 | 0.580192 |
CRD 324–Statistical Analysis of Results
No. | Average Duration of a Sector | N |
---|---|---|
1 | Duration of a sector from 00:40 to 01:01 h | 26 |
2 | Duration of a sector from 01:03 to 01:23 h | 33 |
3 | Duration of a sector from 01:25 to 01:45 h | 35 |
4 | Duration of a sector from 01:46 to 03:35 h | 25 |
TOTAL | 119 |
Average Duration of a Sector | 1. Duration of a Sector from 00:40 to 01:01 h | 2. Duration of a Sector from 01:03 to 01:23 h | 3. Duration of a Sector from 01:25 to 01:45 h | 4. Duration of a Sector from 01:46 to 03:35 h | F | p |
---|---|---|---|---|---|---|
Ttot 324 average | 48.11431 | 51.58547 | 53.64137 | 53.85030 | 2.083585 | 0.106238 |
Tmin 324 average | 47.47785 | 50.58187 | 50.22000 | 51.72998 | 0.821143 | 0.484770 |
Tmax 324 average | 48.27304 | 50.36144 | 52.92532 | 53.74278 | 1.409672 | 0.243576 |
Btot 324 average | 51.76143 | 50.26904 | 54.02739 | 51.81702 | 0.718102 | 0.543141 |
Bin 324 average | 50.87915 | 52.06397 | 52.39503 | 52.02470 | 0.107133 | 0.955773 |
Bfin 324 average | 52.28071 | 48.14814 | 54.73094 | 51.01424 | 2.345741 | 0.076505 |
Nerr 324 average | 0.346154 | 0.484848 | 1.228571 | 1.040000 | 2.936446 | 0.036324 * |
Bfin/Bin 324 average | 0.970464 | 0.865062 | 1.056610 | 0.950476 | 3.769393 | 0.012667 * |
Nerr 324 Average | 0.34615 | 0.48485 | 1.2286 | 1.0400 |
Average duration of a sector | 1 | 2 | 3 | 4 |
1. Duration of a sector from 00:40 to 01:01 h | - | 0.699777 | 0.014160 | 0.072826 |
2. Duration of a sector from 01:03 to 01:23 h | 0.699777 | - | 0.026989 | 0.128674 |
3. Duration of a sector from 01:25 to 01:45 h | 0.014160 | 0.026989 | - | 0.599660 |
4. Duration of a sector from 01:46 to 03:35 h | 0.072826 | 0.128674 | 0.599660 | - |
Bfin/Bin 324 Average | 0.97046 | 0.86506 | 1.0566 | 0.95048 |
Average duration of a sector | 1 | 2 | 3 | 4 |
1. Duration of a sector from 00:40 to 01:01 h | - | 0.090919 | 0.160858 | 0.762692 |
2. Duration of a sector from 01:03 to 01:23 h | 0.090919 | - | 0.001099 | 0.174490 |
3. Duration of a sector from 01:25 to 01:45 h | 0.160858 | 0.001099 | - | 0.088281 |
4. Duration of a sector from 01:46 to 03:35 h | 0.762692 | 0.174490 | 0.088281 | - |
CRD 422–Statistical Analysis of Results
No. | Average Duration of a Sector | N |
---|---|---|
1 | Duration of a sector from 00:40 to 01:01 h | 26 |
2 | Duration of a sector from 01:03 to 01:23 h | 31 |
3 | Duration of a sector from 01:25 to 01:45 h | 33 |
4 | Duration of a sector from 01:46 to 03:35 h | 25 |
TOTAL | 115 |
Average Duration of a Sector | 1. Duration of a Sector from 00:40 to 01:01 h | 2. Duration of a Sector from 01:03 to 01:23 h | 3. Duration of a Sector from 01:25 to 01:45 h | 4. Duration of a Sector from 01:46 to 03:35 h | F | p |
---|---|---|---|---|---|---|
Ttot 422 average | 48.32397 | 51.88769 | 54.40093 | 54.28714 | 2.148779 | 0.098147 |
Tmin 422 average | 46.90232 | 50.28237 | 52.58701 | 53.40961 | 2.136707 | 0.099637 |
Tmax 422 average | 50.02255 | 49.35864 | 51.90110 | 52.52097 | 0.519525 | 0.669711 |
Btot 422 average | 50.78579 | 52.15440 | 54.09295 | 52.50808 | 0.430383 | 0.731639 |
Bin 422 average | 49.81383 | 52.17682 | 53.60702 | 51.93453 | 0.572429 | 0.634319 |
Bfin 422 average | 51.48297 | 51.69732 | 53.57845 | 52.31380 | 0.212872 | 0.887300 |
Nerr 422 average | 1.115385 | 1.290323 | 2.000000 | 1.480000 | 0.894118 | 0.446668 |
Bfin/Bin 422 average | 1.486102 | 1.318848 | 1.387670 | 1.385508 | 0.565700 | 0.638757 |
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Independent Variables–Groups | Label | Name | Description |
---|---|---|---|
Time of day | X1 | Time of the day | Local time of testing at the beginning of the shift (Check In–CI) or at the end of the shift (Check Out–CO) |
Start or end of the shift | X2 | Start or end of the shift (Check In/Check Out–CI/CO) | Start of ’shift or Check In–CI, or end of shift or Check Out–CO |
Days off | X3 | Number of F days in the previous 7 days | Number of days off (F) in the previous 7 days, at the beginning of the shift (CI) or at the end of the shift (CO) |
X4 | Number of F days in the previous 28 days | Number of days off (F) in the previous 28 days, at the beginning of the shift (CI) or at the end of the shift (CO) | |
X5 | Number of individual F days in the previous 28 days | Number of individual days off (F) in the previous 28 days, at the beginning of the shift (CI) or at the end of the shift (CO) | |
Rest | X6 | Rest length | Rest length before flying duty, at the start of a shift (CI) or at the end of a shift (CO) |
X7 | Local night in a daily rest | Whether the rest before flight duty includes a local night | |
X8 | Number of local nights in the 48 h before flight duty | How many local nights included rest 48 h before flight duty | |
X9 | Changes in the schedule | Changes in the schedule of crews in the previous 7 days by more than 1 h | |
Cumulative workload | X10 | Sectors in the previous 7 days | Number of sectors (flights) completed in the previous 7 days |
X11 | Sectors in the previous 28 days | Number of sectors (flights) performed in the previous 28 days | |
X12 | Flight time in the previous 7 days | Total flight time (includes only flight time, not the time of aircraft ground handling) in the previous 7 days | |
X13 | Flight time in the previous 28 days | Total flight time (includes flight time only, not the time of aircraft ground handling) in the previous 28 days | |
X14 | Duty time in the previous 7 days | Total duty time (includes all time on duty–from CI to CO and duties on the ground) in the previous 7 days | |
X15 | Duty time in the previous 28 days | Total duty time (includes all time on duty–from CI to CO and duties on the ground) in the previous 28 days | |
Individual flight duty | X16 | Flight duty time | Flight duty time for individual flight duty period (FDP) |
X17 | Duty time | Duty time for individual flight duty period (FDP) | |
X18 | Flight time in flight duty | Flight time (Block Time) during the individual flight duty period (FDP) | |
X19 | Average duration of a sector | Average duration of an individual sector (flight) | |
X20 | Average duration of aircraft ground handling | Average duration of the aircraft ground handling (turnaround) | |
X21 | Split duty | Split duty | |
X22 | Change of aircraft during flight duty period | Change of aircraft during flight duty period (FDP) | |
X23 | Multi-day shifts | Multi-day shifts | |
Subjective self-assessment | S1 | Self-assessment of emotional state | Subjective self-assessment of emotional state (scale from 1 to 10) |
S2 | Self-assessment of energy level | Subjective self-assessment of energy level (scale from 1 to 10) | |
S3 | Self-assessment of self-confidence | Subjective self-assessment of self-confidence (scale from 1 to 10) | |
S4 | Self-assessment of anxiety level | Subjective self-assessment of anxiety level (scale from 1 to 10) |
Name of the CDR Fatigue Indicator | Label | Abbr. | Short Description | Meaning |
---|---|---|---|---|
Number of errors | Y1 | Nerr | Number of errors: accuracy of mental processing | Lower value = higher accuracy |
Total time | Y2 | Ttot | Mental processing speed: total time required to solve a test | Lower value = higher level of efficiency |
Minimum time | Y3 | Tmin | Mental processing speed: the shortest task-solving time | Lower value = higher level of efficiency |
Maximum time | Y4 | Tmax | Mental processing speed: the longest task-solving times | Lower value = higher level of efficiency |
Total ballast | Y5 | Btot | Total lost time due to fluctuations in the speed of solving similar tasks | Lower value = greater stability |
Initial ballast | Y6 | Bin | Working speed or initial ballast | Lower value = greater stability |
Final ballast | Y7 | Bfin | Fatigue or final ballast | Lower value = greater stability |
Fatigue index | Y8 | Bfin/Bin | The quotient of Bfin and Bin | Values greater than 1 indicate fatigue |
Rank | Description of an Emotional State |
---|---|
1 | I am completely depressed, and everything is black. |
2 | I am discouraged and feel very bad. |
3 | I am depressed and feeling down. |
4 | I feel uncomfortable. |
5 | I’m a little moody. |
6 | I’m not in a particularly good mood, I almost feel fine. |
7 | I am fine and feel a slight positive excitement. |
8 | I feel very well. |
9 | I am in a very positive mood, I feel great. |
10 | I feel unusually joyful and energetic. |
Rank | Description of an Energy Level |
---|---|
1 | I am completely exhausted, unable to make the least effort. |
2 | I’m terribly tired, incapable of any activity. |
3 | I am very tired, without energy, immobile. |
4 | I’m pretty tired, apathetic, wishing for a good night’s sleep. |
5 | I do not have enough energy, I get tired easily. |
6 | I feel quite fresh. |
7 | I’m fresh and I have a lot of energy. |
8 | I have a lot of energy, I feel the need for action. |
9 | I have great energy and a strong need for action. |
10 | I feel great energy and see no obstacles. |
Rank | Description of Self-Confidence |
---|---|
1 | I am unable to muster the strength to do anything. |
2 | I feel unhappy and sad, tired, and incompetent. |
3 | I am broken and not capable of taking action. |
4 | It seems to me that I am not capable of anything. |
5 | It’s as if my knowledge and abilities are insufficient to meet the demands placed on me. |
6 | I think that I am capable and that I have the knowledge to meet the demands placed on me. |
7 | It seems to me that my knowledge and abilities are greater than the demands placed on me. |
8 | I am completely confident in my knowledge and abilities. |
9 | I am confident in my abilities to perform important and responsible tasks. |
10 | Nothing is impossible for me, I can accomplish anything I want. |
Rank | Description of an Anxiety Level |
---|---|
1 | I’m completely freaked out, scared. |
2 | I am terribly disturbed and worried, imbued with fear. |
3 | I am very insecure, completely devastated by hopelessness. |
4 | I’m scared and upset, irritated and nervous. |
5 | I feel constrained and a little anxious. |
6 | Nothing particularly bothers me. |
7 | I am sure of myself, and nothing is bothering me. |
8 | I feel good without trying to. |
9 | I am cool, self-confident and do not get excited. |
10 | I am completely calm and peaceful. |
CDR Test ID | Original Values in Milliseconds | Transposed Values (T Scale) | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Ttot | Tmin | Tmax | Btot | Bin | Bfin | TtotZ | TminZ | TmaxZ | BtotZ | BinZ | BfinZ | |
979 | 14.128 | 271 | 635 | 4.643 | 1.943 | 2.701 | 0.4122 | 0.3102 | −0.0981 | 0.2927 | 0.1703 | 0.3291 |
1638 | 13.504 | 289 | 551 | 3.389 | 1.407 | 1.983 | 0.0193 | 0.8737 | −0.5959 | −0.7616 | −0.7683 | −0.6124 |
568 | 11.186 | 223 | 505 | 3.381 | 1.178 | 2.204 | −1.4404 | −1.1923 | −0.8685 | −0.7683 | −1.1692 | −0.3226 |
578 | 11.665 | 214 | 487 | 4.175 | 1.689 | 2.486 | −1.1387 | −1.4740 | −0.9751 | −0.1007 | −0.2736 | 0.0478 |
548 | 12.886 | 223 | 716 | 5.081 | 2.467 | 2.615 | −0.3699 | −1.1923 | 0.3819 | 0.6610 | 1.0878 | 0.2163 |
1628 | 10.930 | 223 | 451 | 3.125 | 1.066 | 2.060 | −1.6016 | −1.1923 | −1.1885 | −0.9835 | −1.3654 | −0.5114 |
1658 | 12.292 | 228 | 572 | 3.661 | 1.752 | 1.909 | −0.7439 | −1.0358 | −0.4714 | −0.5329 | −0.1633 | −0.7088 |
916 | 37.260 | 753 | 2.288 | 10.905 | 5.439 | 5.467 | 0.4438 | 0.4813 | 1.0960 | 0.1126 | 0.5999 | −0.2759 |
1239 | 29.045 | 495 | 1.348 | 11.720 | 5.010 | 6.711 | −1.1814 | −1.7623 | −0.9139 | 0.4123 | 0.2674 | 0.4578 |
1360 | 30.130 | 661 | 1.232 | 6.995 | 2.893 | 4.103 | −0.9668 | −0.3187 | −1.1620 | −1.3254 | −1.3737 | −1.0803 |
493 | 43.882 | 949 | 2.185 | 10.667 | 4.653 | 6.015 | 1.7539 | 2.1859 | 0.8757 | 0.0250 | −0.0094 | 0.0473 |
518 | 41.860 | 870 | 1.847 | 11.410 | 4.983 | 6.427 | 1.3539 | 1.4988 | 0.1530 | 0.2983 | 0.2468 | 0.2906 |
821 | 35.656 | 803 | 2.092 | 7.551 | 2.384 | 5.168 | 0.1265 | 0.9162 | 0.6769 | −1.1209 | −1.7683 | −0.4522 |
1219 | 30.285 | 636 | 1.342 | 8.025 | 2.997 | 5.028 | −0.9361 | −0.5361 | −0.9268 | −0.9466 | −1.2927 | −0.5345 |
1340 | 30.819 | 548 | 2.833 | 11.639 | 6.509 | 5.130 | −0.8305 | −1.3014 | 2.2613 | 0.3825 | 1.4298 | −0.4743 |
1350 | 31.650 | 592 | 2.201 | 10.930 | 4.063 | 6.867 | −0.6661 | −0.9188 | 0.9099 | 0.1218 | −0.4664 | 0.5501 |
679 | 36.821 | 785 | 1.732 | 9.346 | 3.577 | 5.770 | 0.3570 | 0.7596 | −0.0929 | −0.4608 | −0.8435 | −0.0972 |
1025 | 35.159 | 736 | 1.631 | 9.399 | 4.008 | 5.391 | 0.0282 | 0.3335 | −0.3088 | −0.4413 | −0.5090 | −0.3204 |
681 | 56.385 | 1.173 | 3.834 | 15.330 | 4.264 | 11.067 | 1.2261 | 1.4732 | 1.1554 | 0.3564 | −0.6829 | 1.0013 |
1027 | 50.804 | 991 | 2.541 | 16.119 | 7.853 | 8.267 | 0.3674 | −0.0624 | −0.2212 | 0.5078 | 0.6553 | 0.2413 |
1221 | 42.338 | 848 | 2.369 | 12.658 | 5.371 | 7.287 | −0.9353 | −1.2690 | −0.4044 | −0.1563 | −0.2700 | −0.0245 |
1342 | 44.056 | 824 | 2.368 | 15.216 | 6.685 | 8.531 | −0.6709 | −1.4715 | −0.4054 | 0.3346 | 0.2200 | 0.3131 |
1352 | 42.238 | 907 | 2.406 | 10.493 | 4.240 | 6.254 | −0.9507 | −0.7712 | −0.3650 | −0.5717 | −0.6919 | −0.3050 |
1362 | 41.639 | 843 | 1.668 | 12.134 | 5.900 | 6.235 | −1.0428 | −1.3112 | −1.1507 | −0.2568 | −0.0729 | −0.3102 |
Dependent Variable | CDR13 | CDR23 | CDR241 | CDR324 | CDR422 | Total |
---|---|---|---|---|---|---|
Nerr | 4 | 12 | 2 | 6 | 13 | 37 |
Ttot | 16 | 7 | 6 | 9 | 13 | 51 |
Tmin | 7 | 6 | 9 | 8 | 1 | 31 |
Tmax | 4 | 3 | 3 | 2 | 9 | 21 |
Btot | 11 | 3 | 5 | 3 | 11 | 33 |
Bin | 9 | 6 | 6 | 4 | 9 | 34 |
Bfin | 6 | 1 | 8 | 3 | 10 | 28 |
Bfin/Bin | 5 | 11 | 11 | 4 | 2 | 33 |
Total | 62 | 49 | 50 | 39 | 68 | 268 |
Label | Name | Role |
---|---|---|
X1 | Time of the day | Independent variable (input) |
X2 | Start or end of the shift (Check In/Check Out–CI/CO) | Independent variable (input) |
X3 | Number of F days in the previous 7 days | Independent variable (input) |
X4 | Number of F days in the previous 28 days | Independent variable (input) |
X5 | Number of individual F days in the previous 28 days | Independent variable (input) |
X6 | Rest length | Independent variable (input) |
X7 | Local night in a daily rest | Independent variable (input) |
X8 | Number of local nights in the 48 h before flight duty | Independent variable (input) |
X9 | Changes in the schedule | Independent variable (input) |
X10 | Sectors in the previous 7 days | Independent variable (input) |
X11 | Sectors in the previous 28 days | Independent variable (input) |
X12 | Flight time in the previous 7 days | Independent variable (input) |
X13 | Flight time in the previous 28 days | Independent variable (input) |
X14 | Duty time in the previous 7 days | Independent variable (input) |
X15 | Duty time in the previous 28 days | Independent variable (input) |
X16 | Flight duty time | Independent variable (input) |
X17 | Duty time | Independent variable (input) |
X18 | Flight time in flight duty | Independent variable (input) |
X19 | Average duration of a sector | Independent variable (input) |
X20 | Average duration of aircraft ground handling | Independent variable (input) |
X21 | Split duty | Independent variable (input) |
X22 | Change of aircraft during flight duty period | Independent variable (input) |
X23 | Multi-day shifts | Independent variable (input) |
S1 | Self-assessment of emotional state | Independent and dependent variables (input/target, i.e., both) |
S2 | Self-assessment of energy level | Independent and dependent variables (input/target, i.e., both) |
S3 | Self-assessment of self-confidence | Independent and dependent variables (input/target, i.e., both) |
S4 | Self-assessment of anxiety level | Independent and dependent variables (input/target, i.e., both) |
Y1 | Number of errors | Independent and dependent variables (input/target, i.e., both) * |
Y2 | Total time | Independent and dependent variables (input/target, i.e., both) * |
Y3 | Minimum time | Independent and dependent variables (input/target, i.e., both) * |
Y4 | Maximum time | Independent and dependent variables (input/target, i.e., both) * |
Y5 | Total ballast | Independent and dependent variables (input/target, i.e., both) * |
Y6 | Initial ballast | Independent and dependent variables (input/target, i.e., both) * |
Y7 | Final ballast | Independent and dependent variables (input/target, i.e., both) * |
Y8 | Fatigue index | Independent and dependent variables (input/target, i.e., both) * |
Model for Target | Model Quality | ||||
---|---|---|---|---|---|
RMSE | RMSPE | AIC | BIC | R-Squared | |
S1 | 0.50 | 0.03 | −190.70 | 111.61 | 0.95 |
S2 | 0.41 | 0.03 | −241.98 | 60.34 | 0.94 |
S3 | 0.53 | 0.03 | −173.98 | 128.33 | 0.94 |
Y8 | 0.33 | 0.14 | −296.80 | 5.52 | 0.94 |
Y2 | 0.52 | 1.70 | −178.55 | 123.77 | 0.93 |
Y5 | 0.59 | 11.84 | −149.04 | 153.27 | 0.93 |
S4 | 0.60 | 0.04 | −144.94 | 157.37 | 0.93 |
Y4 | 0.73 | 2.20 | −94.25 | 208.06 | 0.92 |
Y7 | 0.64 | 1.70 | −127.44 | 174.87 | 0.92 |
Y1 | 1.39 | 0.23 | 71.05 | 373.37 | 0.92 |
Y3 | 0.61 | 1.29 | −138.13 | 164.19 | 0.91 |
Y6 | 0.68 | 3.25 | −110.43 | 191.88 | 0.91 |
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Bartulović, D.; Steiner, S.; Fakleš, D.; Mavrin Jeličić, M. Correlations among Fatigue Indicators, Subjective Perception of Fatigue, and Workload Settings in Flight Operations. Aerospace 2023, 10, 856. https://doi.org/10.3390/aerospace10100856
Bartulović D, Steiner S, Fakleš D, Mavrin Jeličić M. Correlations among Fatigue Indicators, Subjective Perception of Fatigue, and Workload Settings in Flight Operations. Aerospace. 2023; 10(10):856. https://doi.org/10.3390/aerospace10100856
Chicago/Turabian StyleBartulović, Dajana, Sanja Steiner, Dario Fakleš, and Martina Mavrin Jeličić. 2023. "Correlations among Fatigue Indicators, Subjective Perception of Fatigue, and Workload Settings in Flight Operations" Aerospace 10, no. 10: 856. https://doi.org/10.3390/aerospace10100856