Introduction
Sustained Attention Consistency as the Covariation of Objective and Subjective Measures
Objective (Performance-Based) Measures of Attention Consistency
Reaction Time Variability
Performance Accuracy
Limitations of Objective Indicators of Attention Consistency
Task/citation | Description | How is sustaining attention consistency necessary? | Non-sustained attention influences |
---|---|---|---|
Psychomotor Vigilance Task (PVT; Lim & Dinges, 2008) | Simple RT task that presents subjects with a set of 0 s on-screen (like a stopwatch: “00.000”) and requires them to respond as quickly as possible when they notice that the numbers begin counting up after a variable delay | Necessary to maintain task focus/engagement and intrinsic alertness during unpredictable periods between the start of the trial and stimulus onset. Failing to sustain attention would result in longer than normal RT | Processing speed; SOA guessing strategy; impulsivity |
Sustained Attention to Response Task (SART; Robertson et al., 1997) | A go/no-go task that requires subjects to respond to frequently presented items from one category (~ 89% of the trials) and withhold responses to rare targets (~ 11% of the trials) | High “go” trial frequency can lead to mindless, habitual, responding. Sustained attention is needed to overcome the mindless, and potentially erratic, responding and maintain consistency. Rare “no-go” trials also require sustained attention in order to prevent commission errors that might occur because of habitual responding | Response inhibition; response strategies (i.e., speed-accuracy tradeoff); processing speed; impulsivity; knowledge of stimuli used in task (i.e., knowledge of different animals and fruits) |
A continuous performance task, in which visual or auditory stimuli are presented at a constant rate, that requires subjects to respond in synchrony with the presentation of the stimuli | Repetitive presentation of low arousing stimuli for extended durations can elicit inconsistent responding. Sustained attention is needed to maintain consistent responding and not mis-time responses to stimuli | Familiarity and skill with rhythm or music; time estimation; counting strategies | |
Continuous Temporal Expectancy Task (CTET; O’Connell et al., 2009) | Subjects view a series of abstract images that are perceptually similar to each other; their goal is to respond to rare target stimuli that are presented for longer-than-usual durations (1000–1200 ms) among frequent non-targets that are presented briefly (600–800 ms). Attention-capturing stimulus onsets/offsets are non-diagnostic to target detection | Sustained attention is needed to focus and notice small temporal discrepancies among perceptually similar and repetitive stimuli | Visual and temporal discrimination ability; response criterion setting/strategy |
Gradual Onset Continuous Performance Task (gradCPT; Rosenberg et al., 2013) | A go/no-go continuous performance task that presents subjects with frequent non-target stimuli and infrequent targets (similar to the SART). However, in the gradCPT, the stimuli gradually fade into one another, eliminating stimulus onsets/offsets which can capture attention | High “go” trial frequency can lead to mindless, habitual, responding. Sustained attention is needed to overcome the mindless, and potentially erratic, responding and maintain consistency. Rare “no-go” trials also require sustained attention in order to prevent commission errors that might occur because of habitual responding | Visual discrimination ability; response inhibition; processing speed; impulsivity; response strategies (i.e., speed-accuracy tradeoff; response criterion setting) |
Subjective (Self-Report-Based) Indicators of Attention Consistency
Thought-probe Methods and Measures
Limitations of Subjective Indicators of Attention Consistency
Correlations between Objective and Subjective Measures
Summary of Attention Consistency Measurement
Evidence for the Construct Validity of Attention Consistency Measures
Correlations with Executive Attention Ability
Correlations with Processing Speed
Correlations with Cognitive Self-Report Variables
Correlations with Contextual-State Variables
Correlations with Personality Traits
Nomothetic Span Summary
Goals of the Current Studies
Study 1
Methods
Subjects
Tasks and Materials
Procedures
Results
Data Analysis Exclusions
RT Cleaning Procedures
Selection of Objective Attention Consistency and Processing Speed Indicators
Multivariate Outliers
Descriptive Statistics and Correlations for Final Dataset
Construct/Measure | Mean | SD | Min | Max | Skew | Kurtosis | N |
---|---|---|---|---|---|---|---|
Objective Attention Consistency | |||||||
PVT Bin 5 | 455.01 | 94.34 | 307.08 | 789.01 | 1.35 | 2.34 | 333 |
SART RTsd | 132.35 | 48.48 | 44.07 | 299.83 | 1.09 | 1.80 | 322 |
SART Omissions | 18.48 | 14.23 | 0.00 | 70.00 | 1.36 | 2.17 | 322 |
SART τ | 100.64 | 67.60 | 0.00 | 328.59 | 0.95 | 1.23 | 322 |
CRT τ | 90.06 | 36.29 | 26.32 | 229.52 | 1.22 | 2.11 | 335 |
Continuous Tracking Variability | 1.14 | 0.41 | 0.24 | 2.56 | 0.70 | 0.62 | 322 |
Subjective Attention Consistency | |||||||
PVT TUTs | 0.43 | 0.29 | 0.00 | 1.00 | 0.23 | − 0.92 | 333 |
SART TUTs | 0.44 | 0.33 | 0.00 | 1.00 | 0.24 | − 1.19 | 322 |
WRWM TUTs | 0.53 | 0.37 | 0.00 | 1.00 | − 0.12 | − 1.43 | 271 |
Stroop TUTs | 0.21 | 0.28 | 0.00 | 1.00 | 1.42 | 1.01 | 341 |
Working Memory Capacity | |||||||
OPERSPAN | 38.00 | 8.04 | 10.00 | 50.00 | − 0.70 | 0.11 | 345 |
READSPAN | 37.41 | 8.48 | 1.00 | 50.00 | − 1.04 | 1.36 | 346 |
SYMSPAN | 18.85 | 5.19 | 2.00 | 28.00 | − 0.48 | − 0.12 | 346 |
Attention Control | |||||||
Antisaccade Accuracy | 0.60 | 0.15 | 0.25 | 0.93 | 0.03 | − 0.60 | 337 |
Cued Visual Search RT | 1276.70 | 290.03 | 596.24 | 2316.29 | 0.64 | 0.42 | 344 |
Stroop RT | 147.81 | 97.70 | − 224.04 | 509.78 | 0.60 | 1.13 | 341 |
Processing Speed | |||||||
PVT μ | 286.22 | 28.01 | 227.26 | 380.01 | 0.61 | 0.09 | 333 |
CRT Bin 1 | 293.81 | 35.52 | 227.19 | 434.92 | 1.03 | 1.48 | 335 |
Stroop Bin 1 | 437.86 | 63.46 | 304.45 | 675.58 | 0.93 | 1.35 | 340 |
Prosaccade M RT | 703.05 | 240.33 | 305.50 | 1628.00 | 1.04 | 1.54 | 311 |
Alertness | |||||||
PVT | 3.30 | 1.28 | 1.00 | 6.00 | 0.13 | − 0.55 | 341 |
CRT | 3.31 | 1.33 | 1.00 | 6.00 | 0.08 | − 0.71 | 338 |
Continuous Tracking | 2.31 | 1.43 | 1.00 | 6.00 | 0.79 | − 0.48 | 314 |
Antisaccade | 3.64 | 1.29 | 1.00 | 6.00 | − 0.01 | − 0.78 | 337 |
Motivation | |||||||
PVT | 4.00 | 1.31 | 1.00 | 6.00 | − 0.40 | − 0.53 | 341 |
CRT | 4.03 | 1.37 | 1.00 | 6.00 | − 0.54 | − 0.35 | 338 |
Continuous tracking | 2.70 | 1.60 | 1.00 | 6.00 | 0.39 | − 1.16 | 314 |
Antisaccade | 4.00 | 1.35 | 1.00 | 6.00 | − 0.39 | − 0.61 | 337 |
Dispositional Measures | |||||||
Openness | 3.57 | 0.58 | 1.80 | 4.90 | − 0.12 | − 0.10 | 274 |
Conscientiousness | 3.61 | 0.63 | 1.22 | 4.89 | − 0.49 | 0.47 | 274 |
Extraversion | 3.22 | 0.87 | 1.14 | 4.57 | − 0.38 | − 0.80 | 274 |
Agreeableness | 3.92 | 0.64 | 1.67 | 5.00 | − 0.68 | 0.57 | 274 |
Neuroticism | 3.16 | 0.86 | 1.00 | 5.00 | − 0.00 | − 0.76 | 274 |
Cognitive Failures | 111.01 | 26.16 | 52.00 | 191.00 | 0.26 | − 0.17 | 274 |
Variable | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1. PVT Bin 5 | 1 | |||||||||||||||
2. SART RTsd | 0.31 | 1 | ||||||||||||||
3. SART Omissions | 0.21 | 0.26 | 1 | |||||||||||||
4. SART τ | 0.26 | 0.65 | 0.39 | 1 | ||||||||||||
5. CRT τ | 0.36 | 0.17 | 0.33 | 0.15 | 1 | |||||||||||
6. Continuous Tracking Variability | 0.37 | 0.30 | 0.34 | 0.22 | 0.38 | 1 | ||||||||||
7. PVT TUTs | 0.38 | − 0.03 | − 0.04 | 0.04 | 0.12 | 0.12 | 1 | |||||||||
8. SART TUTs | 0.14 | 0.11 | 0.26 | 0.17 | 0.14 | 0.24 | 0.39 | 1 | ||||||||
9. WRWM TUTs | 0.11 | 0.07 | 0.05 | 0.08 | 0.04 | 0.13 | 0.40 | 0.55 | 1 | |||||||
10. Stroop TUTs | 0.20 | 0.07 | 0.02 | 0.06 | 0.13 | 0.20 | 0.50 | 0.48 | 0.35 | 1 | ||||||
11. OPERSPAN | − 0.04 | − 0.09 | − 0.20 | − 0.11 | − 0.14 | − 0.19 | − 0.05 | − 0.04 | 0.00 | − 0.09 | ||||||
12. READSPAN | − 0.20 | − 0.12 | − 0.15 | − 0.17 | − 0.09 | − 0.20 | − 0.07 | − 0.05 | − 0.10 | − 0.05 | 1 | |||||
13. SYMSPAN | − 0.17 | − 0.15 | − 0.17 | − 0.10 | − 0.14 | − 0.22 | − 0.14 | − 0.13 | 0.00 | − 0.17 | 0.49 | 1 | ||||
14. Antisaccade | − 0.36 | − 0.26 | − 0.22 | − 0.22 | − 0.31 | − 0.29 | − 0.13 | − 0.08 | 0.03 | − 0.09 | 0.42 | 0.36 | 1 | |||
15. Cued Visual Search RT | 0.24 | 0.24 | 0.18 | 0.15 | 0.34 | 0.34 | 0.08 | 0.07 | − 0.03 | 0.15 | 0.17 | 0.14 | 0.22 | 1 | ||
16. Stroop RT | 0.04 | − 0.03 | − 0.04 | 0.05 | − 0.05 | 0.01 | 0.03 | − 0.07 | − 0.03 | 0.05 | − 0.20 | − 0.06 | − 0.24 | − 0.30 | 1 | |
17. PVT μ | 0.34 | 0.13 | 0.05 | 0.11 | 0.22 | 0.09 | 0.31 | 0.01 | 0.08 | 0.08 | − 0.22 | − 0.16 | − 0.12 | − 0.14 | 0.10 | 1 |
18. CRT Bin 1 | 0.13 | 0.09 | 0.03 | − 0.05 | 0.29 | 0.11 | 0.02 | − 0.06 | 0.05 | 0.06 | − 0.12 | − 0.12 | − 0.17 | − 0.24 | 0.11 | 0.06 |
19. Stroop Bin 1 | 0.32 | 0.19 | 0.12 | 0.08 | 0.31 | 0.21 | 0.13 | 0.02 | 0.05 | 0.20 | − 0.05 | − 0.08 | − 0.18 | − 0.19 | 0.25 | 0.01 |
20. Prosaccade M RT | 0.06 | 0.25 | 0.23 | 0.18 | 0.17 | 0.10 | 0.02 | 0.09 | − 0.07 | 0.13 | − 0.16 | − 0.15 | − 0.24 | − 0.26 | 0.33 | 0.18 |
21. PVT Alertness | − 0.40 | − 0.19 | − 0.14 | − 0.23 | − 0.17 | − 0.29 | − 0.57 | − 0.41 | − 0.38 | − 0.40 | − 0.19 | − 0.05 | − 0.19 | − 0.30 | 0.38 | 0.06 |
22. CRT Alertness | − 0.15 | − 0.13 | − 0.06 | − 0.12 | − 0.15 | − 0.14 | − 0.39 | − 0.33 | − 0.31 | − 0.36 | 0.04 | 0.15 | 0.18 | 0.23 | − 0.17 | − 0.09 |
23. Continuous Tracking Alertness | − 0.08 | − 0.06 | − 0.10 | − 0.06 | − 0.07 | − 0.23 | − 0.35 | − 0.27 | − 0.25 | − 0.23 | 0.07 | 0.10 | 0.13 | 0.07 | − 0.08 | − 0.06 |
24. Antisaccade Alertness | − 0.21 | − 0.08 | − 0.10 | − 0.08 | − 0.13 | − 0.20 | − 0.36 | − 0.25 | − 0.27 | − 0.27 | 0.07 | − 0.01 | 0.14 | 0.09 | − 0.18 | 0.05 |
25. PVT Motivation | − 0.36 | − 0.13 | − 0.10 | − 0.14 | − 0.15 | − 0.24 | − 0.46 | − 0.31 | − 0.25 | − 0.28 | 0.04 | 0.07 | 0.13 | 0.30 | − 0.15 | − 0.08 |
26. CRT Motivation | − 0.18 | − 0.17 | − 0.10 | − 0.15 | − 0.21 | − 0.20 | − 0.28 | − 0.25 | − 0.30 | − 0.29 | 0.02 | 0.13 | 0.13 | 0.12 | − 0.10 | − 0.04 |
27. Continuous Tracking Motivation | − 0.08 | − 0.07 | − 0.14 | − 0.10 | − 0.05 | − 0.28 | − 0.25 | − 0.25 | − 0.22 | − 0.20 | 0.13 | 0.16 | 0.15 | 0.08 | − 0.07 | − 0.10 |
28. Antisaccade Motivation | − 0.28 | − 0.18 | − 0.12 | − 0.14 | − 0.15 | − 0.18 | − 0.30 | − 0.26 | − 0.24 | − 0.22 | 0.04 | 0.01 | 0.16 | 0.04 | − 0.16 | 0.06 |
29. Openness | − 0.11 | 0.02 | 0.02 | 0.07 | 0.06 | − 0.09 | − 0.09 | − 0.04 | 0.00 | − 0.07 | 0.04 | 0.04 | 0.13 | 0.30 | − 0.15 | − 0.14 |
30. Conscientiousness | 0.05 | 0.03 | − 0.03 | 0.02 | − 0.02 | 0.03 | − 0.16 | − 0.11 | − 0.09 | − 0.19 | − 0.02 | 0.02 | 0.01 | 0.04 | 0.05 | 0.00 |
31. Extraversion | 0.06 | 0.04 | 0.11 | − 0.01 | 0.07 | 0.10 | − 0.03 | 0.03 | 0.05 | − 0.04 | − 0.09 | 0.01 | − 0.05 | − 0.08 | − 0.04 | 0.04 |
32. Agreeableness | 0.00 | 0.00 | 0.10 | 0.01 | 0.07 | 0.02 | − 0.14 | − 0.09 | − 0.08 | − 0.12 | − 0.02 | 0.03 | − 0.02 | − 0.04 | − 0.04 | − 0.13 |
33. Neuroticism | 0.12 | − 0.03 | 0.02 | − 0.03 | 0.11 | 0.07 | 0.23 | 0.08 | − 0.02 | 0.15 | − 0.07 | 0.03 | 0.06 | − 0.09 | 0.00 | 0.06 |
34. Cognitive Failures | 0.12 | 0.07 | 0.09 | 0.07 | 0.05 | 0.12 | 0.20 | 0.14 | 0.07 | 0.09 | − 0.09 | − 0.08 | − 0.18 | − 0.08 | 0.18 | 0.05 |
Variable | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1. PVT Bin 5 | |||||||||||||||||
2. SART RTsd | |||||||||||||||||
3. SART Omissions | |||||||||||||||||
4. SART τ | |||||||||||||||||
5. CRT τ | |||||||||||||||||
6. Continuous Tracking Variability | |||||||||||||||||
7. PVT TUTs | |||||||||||||||||
8. SART TUTs | |||||||||||||||||
9. WRWM TUTs | |||||||||||||||||
10. Stroop TUTs | |||||||||||||||||
11. OPERSPAN | |||||||||||||||||
12. READSPAN | |||||||||||||||||
13. SYMSPAN | |||||||||||||||||
14. Antisaccade | |||||||||||||||||
15. Cued Visual Search RT | |||||||||||||||||
16. Stroop RT | |||||||||||||||||
17. PVT μ | 1 | ||||||||||||||||
18. CRT Bin 1 | 0.34 | 1 | |||||||||||||||
19. Stroop Bin 1 | 0.39 | 0.57 | 1 | ||||||||||||||
20. Prosaccade M RT | − 0.05 | 0.16 | 0.19 | 1 | |||||||||||||
21. PVT Alertness | − 0.18 | − 0.01 | − 0.15 | − 0.02 | 1 | ||||||||||||
22. CRT Alertness | − 0.09 | − 0.04 | − 0.10 | − 0.07 | 0.54 | 1 | |||||||||||
23. Continuous Tracking Alertness | − 0.01 | 0.03 | − 0.01 | − 0.24 | 0.43 | 0.49 | 1 | ||||||||||
24. Antisaccade Alertness | − 0.09 | − 0.05 | − 0.10 | − 0.03 | 0.53 | 0.32 | 0.28 | 1 | |||||||||
25. PVT Motivation | − 0.11 | 0.03 | − 0.12 | 0.02 | 0.62 | 0.37 | 0.33 | 0.42 | 1 | ||||||||
26. CRT Motivation | − 0.07 | 0.00 | − 0.10 | − 0.08 | 0.38 | 0.67 | 0.34 | 0.28 | 0.55 | 1 | |||||||
27. Continuous Tracking Motivation | 0.05 | 0.03 | 0.00 | − 0.21 | 0.36 | 0.36 | 0.79 | 0.21 | 0.44 | 0.38 | 1 | ||||||
28. Antisaccade Motivation | − 0.06 | − 0.07 | − 0.10 | − 0.13 | 0.40 | 0.26 | 0.21 | 0.59 | 0.47 | 0.33 | 0.25 | 1 | |||||
29. Openness | − 0.03 | − 0.06 | − 0.03 | − 0.01 | 0.11 | 0.14 | 0.12 | 0.04 | 0.02 | 0.04 | 0.07 | 0.02 | 1 | ||||
30. Conscientiousness | 0.04 | 0.00 | 0.03 | − 0.03 | 0.12 | 0.12 | 0.09 | 0.08 | 0.06 | 0.16 | 0.15 | 0.03 | − 0.04 | 1 | |||
31. Extraversion | 0.04 | − 0.03 | 0.00 | − 0.09 | 0.01 | 0.09 | 0.09 | 0.01 | 0.01 | 0.02 | 0.10 | 0.06 | 0.15 | 0.10 | 1 | ||
32. Agreeableness | 0.11 | − 0.02 | − 0.02 | 0.04 | 0.13 | 0.24 | 0.08 | 0.08 | 0.09 | 0.17 | 0.07 | 0.07 | − 0.01 | 0.25 | 0.11 | 1 | |
33. Neuroticism | 0.03 | − 0.03 | 0.09 | 0.03 | − 0.08 | − 0.09 | − 0.05 | − 0.10 | − 0.03 | − 0.03 | − 0.04 | − 0.07 | − 0.03 | − 0.19 | − 0.26 | − 0.32 | 1 |
34. Cognitive Failures | − 0.03 | − 0.06 | − 0.01 | − 0.02 | − 0.10 | − 0.08 | − 0.08 | − 0.06 | 0.01 | − 0.08 | − 0.13 | − 0.03 | 0.01 | − 0.40 | − 0.05 | − 0.19 | 0.40 |
Measurement Models of Attention Consistency
Model | χ2 (df) | χ2/df | CFI | TLI | RMSEA [90% CI] | SRMR |
---|---|---|---|---|---|---|
Measurement Models | ||||||
2-factor | 54.362 (27) | 2.01 | 0.967 | 0.944 | 0.054 [0.033–0.075] | 0.042 |
True bifactor | – | – | – | – | – | – |
Bifactor subjective residual | 51.369 (24) | 2.14 | 0.967 | 0.937 | 0.058 [0.036–0.079] | 0.040 |
Bifactor objective residual | 44.357 (22) | 2.02 | 0.973 | 0.944 | 0.054 [0.031–0.077] | 0.035 |
Hierarchical model | 54.362 (27) | 2.01 | 0.967 | 0.944 | 0.054 [0.033–0.075] | 0.042 |
Confirmatory Factor Analyses | ||||||
2-factor | 760.400 (442) | 1.72 | 0.907 | 0.882 | 0.046 [0.040–0.051] | 0.055 |
True bifactor | – | – | – | – | – | – |
Bifactor subjective residual | 757.589 (439) | 1.73 | 0.907 | 0.881 | 0.046 [0.040–0.051] | 0.055 |
Bifactor objective residual | 748.092 (437) | 1.71 | 0.909 | 0.883 | 0.045 [0.040–0.051] | 0.054 |
Full hierarchical | 850.309 (453) | 1.88 | 0.884 | 0.856 | 0.050 [0.045–0.056] | 0.067 |
Reduced predictor hierarchical | 324.822 (190) | 1.71 | 0.914 | 0.886 | 0.045 [0.037–0.054] | 0.057 |
Construct and Measure | Model Name | |||
---|---|---|---|---|
Two Factor Measurement | Bifactor Sub-Res Measurement | Bifactor Obj-Res Measurement | Hierarchical Measurement | |
Attention Consistency | ||||
PVT Bin 5 | 0.62 (0.05) | 0.24 (0.06) | ||
SART RTsd | 0.46 (0.06) | 0.06 (0.07) | ||
SART Omissions | 0.49 (0.06) | 0.05 (0.07) | ||
SART τ | 0.37 (0.06) | 0.11 (0.07) | ||
CRT τ | 0.58 (0.05) | 0.18 (0.06) | ||
Continuous Tracking Variability | 0.66 (0.05) | 0.28 (0.06) | ||
PVT TUTs | 0.17 (0.07) | 0.64 (0.05) | ||
SART TUTs | 0.28 (0.07) | 0.74 (0.04) | ||
WRWM TUTs | 0.14 (0.07) | 0.65 (0.04) | ||
Stroop TUTs | 0.24 (0.06) | 0.67 (0.04) | ||
Objective/Objectiveresid | ||||
PVT Bin 5 | 0.62 (0.05) | 0.57 (0.05) | 0.62 (0.05) | |
SART RTsd | 0.46 (0.06) | 0.48 (0.06) | 0.46 (0.06) | |
SART Omissions | 0.48 (0.06) | 0.51 (0.06) | 0.48 (0.06) | |
SART τ | 0.37 (0.06) | 0.36 (0.07) | 0.37 (0.06) | |
CRT τ | 0.58 (0.05) | 0.54 (0.05) | 0.58 (0.05) | |
Continuous Tracking Variability | 0.66 (0.05) | 0.60 (0.05) | 0.66 (0.05) | |
Subjective/Subjectiveresid | ||||
PVT TUTs | 0.61 (0.05) | 0.59 (0.05) | 0.61 (0.05) | |
SART TUTs | 0.76 (0.04) | 0.70 (0.05) | 0.76 (0.04) | |
WRWM TUTs | 0.66 (0.05) | 0.66 (0.05) | 0.66 (0.05) | |
Stroop TUTs | 0.67 (0.04) | 0.62 (0.05) | 0.67 (0.04) |
Confirmatory Factor Analyses of Individual Differences in Attention Consistency
Construct and Measure | Model Name | |||
---|---|---|---|---|
Two factor CFA | Bifactor Sub-Res CFA | Bifactor Obj-Res CFA | Hierarchical CFA | |
Working Memory Capacity | ||||
OPERSPAN | 0.71 (0.05) | 0.71 (0.05) | 0.71 (0.05) | 0.71 (0.05) |
READSPAN | 0.64 (0.05) | 0.64 (0.05) | 0.64 (0.05) | 0.65 (0.05) |
SYMSPAN | 0.62 (0.05) | 0.62 (0.05) | 0.62 (0.05) | 0.61 (0.05) |
Attention Control | ||||
Antisaccade | 0.55 (0.05) | 0.55 (0.05) | 0.55 (0.05) | |
Cued Visual Search | − 0.56 (0.05) | − 0.56 (0.05) | − 0.56 (0.05) | |
Stroop | − 0.18 (0.06) | − 0.18 (0.06) | − 0.18 (0.06) | |
Processing Speed | ||||
CRT Bin 1 | 0.68 (0.04) | 0.68 (0.04) | 0.68 (0.04) | 0.67 (0.05) |
PVT μ | 0.47 (0.05) | 0.47 (0.05) | 0.47 (0.05) | 0.46 (0.05) |
Stroop Bin 1 | 0.82 (0.04) | 0.82 (0.04) | 0.82 (0.04) | 0.85 (0.04) |
Prosaccade M RT | 0.27 (0.06) | 0.27 (0.06) | 0.27 (0.06) | 0.23 (0.06) |
Alertness | ||||
PVT | 0.84 (0.03) | 0.84 (0.03) | 0.84 (0.03) | |
CRT | 0.68 (0.04) | 0.68 (0.04) | 0.68 (0.04) | |
Continuous Tracking | 0.55 (0.04) | 0.55 (0.04) | 0.55 (0.04) | |
Antisaccade | 0.58 (0.04) | 0.58 (0.04) | 0.58 (0.04) | |
Motivation | ||||
PVT | 0.82 (0.03) | 0.82 (0.03) | 0.82 (0.03) | |
CRT | 0.68 (0.04) | 0.68 (0.04) | 0.68 (0.04) | |
Continuous Tracking | 0.53 (0.04) | 0.53 (0.04) | 0.53 (0.04) | |
Antisaccade | 0.55 (0.05) | 0.55 (0.05) | 0.55 (0.05) | |
Attention Consistency | ||||
PVT Bin 5 | 0.65 (0.04) | 0.29 (0.06) | ||
SART RTsd | 0.46 (0.06) | 0.06 (0.06) | ||
SART Omissions | 0.46 (0.06) | 0.05 (0.06) | ||
SART τ | 0.36 (0.06) | 0.11 (0.06) | ||
CRT τ | 0.59 (0.05) | 0.17 (0.06) | ||
Continuous Tracking Variability | 0.65 (0.04) | 0.26 (0.06) | ||
PVT TUTs | 0.25 (0.06) | 0.74 (0.04) | ||
SART TUTs | 0.23 (0.06) | 0.65 (0.06) | ||
WRWM TUTs | 0.12 (0.07) | 0.61 (0.05) | ||
Stroop TUTs | 0.25 (0.06) | 0.66 (0.04) | ||
Objective/Objectiveresid | ||||
PVT Bin 5 | 0.65 (0.04) | 0.58 (0.05) | 0.62 (0.05) | |
SART RTsd | 0.47 (0.05) | 0.48 (0.06) | 0.41 (0.05) | |
SART Omissions | 0.46 (0.05) | 0.48 (0.05) | 0.48 (0.06) | |
SART τ | 0.37 (0.06) | 0.35 (0.06) | 0.32 (0.06) | |
CRT τ | 0.59 (0.05) | 0.56 (0.05) | 0.60 (0.05) | |
Continuous Tracking Variability | 0.65 (0.04) | 0.59 (0.05) | 0.64 (0.05) | |
Subjective/Subjectiveresid | ||||
PVT TUTs | 0.73 (0.04) | 0.68 (0.04) | 0.63 (0.04) | |
SART TUTs | 0.67 (0.04) | 0.64 (0.04) | 0.75 (0.04) | |
WRWM TUTs | 0.61 (0.05) | 0.61 (0.05) | 0.65 (0.05) | |
Stroop TUTs | 0.67 (0.04) | 0.61 (0.04) | 0.70 (0.04) |
Construct/Measure | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1. Objective Attention Consistency | ||||||||||||
2. Subjective Attention Consistency | 0.33 | |||||||||||
3. WMC | − 0.39 | − 0.18 | ||||||||||
4. Attention Control | − 0.86 | − 0.24 | 0.50 | |||||||||
5. Processing Speed | 0.51 | 0.18 | − 0.33 | − 0.67 | ||||||||
6. Alertness | − 0.47 | − 0.78 | 0.19 | 0.42 | − 0.17 | |||||||
7. Motivation | − 0.52 | − 0.64 | 0.21 | 0.33 | − 0.14 | 0.77 | ||||||
8. Openness | − 0.06 | − 0.09 | 0.01 | − 0.01 | − 0.05 | 0.15 | 0.04 | |||||
9. Conscientiousness | 0.02 | − 0.22 | − 0.07 | − 0.02 | 0.04 | 0.14 | 0.14 | − 0.04 | ||||
10. Extraversion | 0.13 | − 0.01 | − 0.02 | 0.02 | − 0.00 | 0.05 | 0.03 | 0.15 | 0.10 | |||
11. Agreeableness | 0.04 | − 0.18 | 0.00 | − 0.07 | 0.02 | 0.19 | 0.13 | − 0.01 | 0.25 | 0.11 | ||
12. Neuroticism | 0.12 | 0.21 | − 0.18 | − 0.25 | 0.06 | − 0.13 | − 0.08 | − 0.03 | − 0.19 | − 0.26 | − 0.32 | |
13. Cognitive Failures | 0.15 | 0.21 | − 0.01 | − 0.09 | − 0.04 | − 0.12 | − 0.08 | 0.01 | − 0.40 | − 0.05 | − 0.19 | 0.40 |
Exploratory Hierarchical Model of Attention Consistency
Mini-Multiverse Analyses
Discussion
Study 2
Methods
Subjects
Materials
Results
Data Analysis Exclusions
RT Cleaning Procedures
Selection of Objective Indicators
Multivariate Outliers
Descriptive Statistics and Correlations for Final Dataset
Construct/measure | Mean | SD | Min | Max | Skew | Kurtosis | N |
---|---|---|---|---|---|---|---|
Objective Attention Consistency | |||||||
SART RTsd | 159.30 | 58.75 | 36.64 | 361.34 | 1.20 | 1.73 | 510 |
SART Omissions | 22.96 | 24.86 | 0.00 | 94.00 | 1.43 | 1.14 | 510 |
Number Stroop τ | 91.14 | 39.74 | 14.96 | 220.92 | 1.31 | 1.65 | 458 |
Spatial Stroop Bin 5 | 974.20 | 289.51 | 511.50 | 1857.01 | 1.34 | 1.55 | 446 |
Arrow Flanker Bin 5 | 630.31 | 111.51 | 426.90 | 1011.21 | 0.92 | 0.67 | 464 |
Letter Flanker RTsd | 121.79 | 54.88 | 40.56 | 307.44 | 1.21 | 1.37 | 452 |
Circle Flanker τ | 113.31 | 58.01 | 0.00 | 284.81 | 1.16 | 1.37 | 458 |
Subjective Attention Consistency | |||||||
SART TUTs | 0.51 | 0.24 | 0.00 | 1.00 | − 0.04 | − 0.81 | 510 |
Number Stroop TUTs | 0.43 | 0.29 | 0.00 | 1.00 | 0.38 | − 0.90 | 458 |
Arrow Flanker TUTs | 0.49 | 0.30 | 0.00 | 1.00 | 0.11 | − 1.07 | 464 |
Letter Flanker TUTs | 0.58 | 0.26 | 0.00 | 1.00 | − 0.47 | − 0.54 | 452 |
N-Back TUTs | 0.42 | 0.31 | 0.00 | 1.00 | 0.31 | − 1.09 | 451 |
Working Memory Capacity | |||||||
OPERSPAN | 0.00 | 1.00 | − 3.54 | 1.70 | − 0.75 | 0.31 | 465 |
READSPAN | 0.00 | 1.00 | − 2.77 | 2.27 | − 0.23 | − 0.44 | 413 |
SYMSPAN | 0.01 | 0.99 | − 3.22 | 2.01 | − 0.37 | − 0.17 | 457 |
ROTSPAN | 0.02 | 0.97 | − 3.19 | 2.10 | − 0.48 | − 0.09 | 377 |
RUNNSPAN | 0.00 | 0.99 | − 2.72 | 2.84 | 0.22 | − 0.10 | 452 |
COUNTERS | − 0.01 | 0.99 | − 2.04 | 3.24 | 0.55 | 0.17 | 470 |
Positive Schizotypy | |||||||
PERCABER | 6.37 | 4.96 | 0.00 | 31.00 | 1.55 | 3.43 | 523 |
MAGIDEA | 11.43 | 5.57 | 0.00 | 28.00 | 0.24 | − 0.52 | 523 |
REFTHINK | 3.35 | 2.06 | 0.00 | 7.00 | 0.09 | − 1.03 | 469 |
Variable | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1. SART RTsd | 1 | |||||||||||||||
2. SART Omissions | 0.51 | 1 | ||||||||||||||
3. Number Stroop τ | 0.39 | 0.31 | 1 | |||||||||||||
4. Spatial Stroop Bin 5 | 0.20 | 0.14 | 0.28 | 1 | ||||||||||||
5. Arrow Flanker Bin 5 | 0.26 | 0.15 | 0.34 | 0.41 | 1 | |||||||||||
6. Letter Flanker RTsd | 0.37 | 0.37 | 0.33 | 0.29 | 0.41 | 1 | ||||||||||
7. Circle Flanker τ | 0.29 | 0.26 | 0.49 | 0.30 | 0.44 | 0.37 | 1 | |||||||||
8. SART TUTs | 0.24 | 0.24 | 0.18 | 0.09 | 0.02 | 0.22 | 0.14 | 1 | ||||||||
9. Number Stroop TUTs | 0.13 | 0.18 | 0.29 | 0.06 | 0.15 | 0.15 | 0.26 | 0.44 | 1 | |||||||
10. Arrow Flanker TUTs | 0.12 | 0.15 | 0.18 | 0.05 | 0.15 | 0.10 | 0.21 | 0.42 | 0.70 | 1 | ||||||
11. Letter Flanker TUTs | 0.11 | 0.14 | 0.19 | 0.06 | 0.08 | 0.28 | 0.10 | 0.53 | 0.37 | 0.37 | 1 | |||||
12. N-Back TUTs | 0.22 | 0.20 | 0.19 | 0.07 | 0.12 | 0.18 | 0.13 | 0.38 | 0.47 | 0.40 | 0.32 | 1 | ||||
13. OPERSPAN | − 0.15 | − 0.10 | − 0.08 | − 0.09 | − 0.11 | − 0.05 | − 0.04 | − 0.01 | − 0.05 | 0.00 | 0.09 | − 0.07 | 1 | |||
14. READSPAN | − 0.10 | − 0.18 | − 0.04 | − 0.04 | − 0.05 | − 0.09 | − 0.06 | − 0.13 | − 0.13 | − 0.10 | 0.00 | − 0.10 | 0.57 | 1 | ||
15. SYMSPAN | − 0.18 | − 0.14 | − 0.18 | − 0.13 | − 0.16 | − 0.16 | − 0.10 | − 0.06 | − 0.04 | − 0.04 | − 0.08 | − 0.06 | 0.39 | 0.39 | 1 | |
16. ROTSPAN | − 0.10 | − 0.01 | − 0.07 | − 0.10 | − 0.15 | − 0.12 | − 0.10 | 0.00 | − 0.03 | − 0.01 | 0.02 | − 0.14 | 0.43 | 0.32 | 0.54 | 1 |
17. RUNNSPAN | − 0.24 | − 0.22 | − 0.12 | − 0.13 | − 0.17 | − 0.11 | − 0.11 | − 0.05 | − 0.13 | − 0.12 | 0.03 | − 0.21 | 0.45 | 0.37 | 0.26 | 0.16 |
18. COUNTERS | − 0.27 | − 0.19 | − 0.22 | − 0.17 | − 0.25 | − 0.21 | − 0.25 | − 0.06 | − 0.04 | − 0.04 | − 0.02 | − 0.13 | 0.36 | 0.22 | 0.38 | 0.29 |
19. PERCABER1 | 0.02 | 0.07 | 0.04 | 0.04 | 0.08 | 0.10 | 0.12 | 0.05 | 0.15 | 0.15 | 0.11 | 0.14 | − 0.03 | − 0.03 | 0.04 | 0.03 |
20. PERCABER2 | 0.06 | 0.10 | 0.07 | 0.03 | 0.06 | 0.02 | 0.05 | 0.00 | 0.11 | 0.11 | 0.10 | 0.10 | 0.05 | 0.05 | 0.09 | 0.08 |
21. PERCABER3 | 0.13 | 0.14 | 0.07 | 0.10 | 0.16 | 0.12 | 0.09 | 0.08 | 0.14 | 0.17 | 0.15 | 0.14 | − 0.07 | − 0.07 | 0.02 | 0.04 |
22. MAGIDEA1 | 0.09 | 0.14 | 0.08 | 0.06 | 0.05 | 0.11 | 0.08 | 0.07 | 0.12 | 0.13 | 0.11 | 0.06 | 0.00 | − 0.04 | 0.09 | 0.05 |
23. MAGIDEA2 | 0.03 | 0.10 | 0.07 | 0.00 | 0.02 | 0.07 | 0.06 | 0.02 | 0.10 | 0.11 | 0.10 | 0.11 | 0.06 | 0.00 | 0.10 | 0.07 |
24. MAGIDEA3 | 0.01 | 0.09 | 0.02 | 0.02 | − 0.02 | 0.09 | − 0.02 | 0.06 | 0.10 | 0.13 | 0.12 | 0.12 | − 0.04 | − 0.07 | 0.05 | 0.04 |
25. REFTHINK | 0.07 | 0.15 | 0.14 | 0.11 | 0.03 | 0.07 | 0.11 | 0.13 | 0.16 | 0.18 | 0.09 | 0.09 | − 0.06 | − 0.10 | − 0.01 | 0.03 |
Variable | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 |
---|---|---|---|---|---|---|---|---|
17. RUNNSPAN | 1 | |||||||
18. COUNTERS | 0.39 | 1 | ||||||
19. PERCABER1 | − 0.10 | − 0.06 | 1 | |||||
20. PERCABER2 | − 0.12 | − 0.04 | 0.67 | 1 | ||||
21. PERCABER3 | − 0.19 | − 0.08 | 0.64 | 0.64 | 1 | |||
22. MAGIDEA1 | − 0.10 | − 0.09 | 0.51 | 0.49 | 0.53 | 1 | ||
23. MAGIDEA2 | − 0.05 | 0.00 | 0.50 | 0.48 | 0.55 | 0.63 | 1 | |
24. MAGIDEA3 | − 0.11 | − 0.06 | 0.45 | 0.42 | 0.46 | 0.56 | 0.63 | 1 |
25. REFTHINK | − 0.14 | − 0.12 | 0.35 | 0.36 | 0.41 | 0.56 | 0.54 | 0.46 |
Measurement Models of Attention Consistency
Model | χ2 (df) | χ2/df | CFI | TLI | RMSEA [90% CI] | SRMR |
---|---|---|---|---|---|---|
Measurement Models | ||||||
2-factor | 109.213 (45) | 2.43 | 0.959 | 0.939 | 0.052 [0.040–0.065] | 0.042 |
Bifactor | 66.444 (34) | 1.95 | 0.979 | 0.959 | 0.043 [0.027–0.058] | 0.028 |
Hierarchical | 109.213 (45) | 2.43 | 0.959 | 0.939 | 0.052 [0.040–0.065] | 0.042 |
Confirmatory Factor Analysis | ||||||
2-factor | 453.284 (253) | 1.79 | 0.951 | 0.941 | 0.039 [0.033–0.044] | 0.053 |
Bifactor | 403.998 (240) | 1.68 | 0.959 | 0.949 | 0.036 [0.030–0.042] | 0.049 |
Hierarchical | 460.799 (255) | 1.81 | 0.949 | 0.940 | 0.039 [0.033–0.045] | 0.056 |
Limited AC bifactor | 417.746 (242) | 1.73 | 0.955 | 0.945 | 0.037 [0.031–0.042] | 0.052 |
Limited AC hierarchical | 454.008 (256) | 1.77 | 0.949 | 0.941 | 0.038 [0.032–0.044] | 0.056 |
Construct and Measure | Model Names | |||||
---|---|---|---|---|---|---|
Two Factor Measurement | Bifactor Measurement | Hierarchical Measurement | Two Factor CFA | Bifactor CFA | Hierarchical CFA | |
Working Memory Capacity | ||||||
OPERSPAN | 0.64 (0.04) | 0.64 (0.04) | 0.65 (0.04) | |||
READSPAN | 0.52 (0.05) | 0.52 (0.05) | 0.53 (0.05) | |||
SYMSPAN | 0.59 (0.05) | 0.59 (0.05) | 0.59 (0.05) | |||
ROTSPAN | 0.49 (0.06) | 0.48 (0.06) | 0.49 (0.05) | |||
RUNSPAN | 0.60 (0.04) | 0.60 (0.04) | 0.60 (0.04) | |||
COUNTERS | 0.62 (0.04) | 0.62 (0.04) | 0.61 (0.04) | |||
Positive Schizotypy | ||||||
PERCABER1 | 0.60 (0.03) | 0.60 (0.03) | 0.60 (0.03) | |||
PERCABER2 | 0.58 (0.03) | 0.58 (0.03) | 0.58 (0.03) | |||
PERCABER3 | 0.64 (0.03) | 0.64 (0.03) | 0.64 (0.03) | |||
MAGIDEA1 | 0.84 (0.03) | 0.85 (0.03) | 0.84 (0.03) | |||
MAGIDEA2 | 0.83 (0.03) | 0.83 (0.03) | 0.83 (0.03) | |||
MAGIDEA3 | 0.72 (0.04) | 0.72 (0.04) | 0.72 (0.04) | |||
REFTHINK | 0.66 (0.03) | 0.66 (0.03) | 0.66 (0.03) | |||
Attention Consistency | ||||||
SART RTsd | 0.54 (0.06) | 0.61 (0.07) | ||||
SART Omissions | 0.52 (0.06) | 0.62 (0.08) | ||||
Number Stroop τ | 0.69 (0.07) | 0.62 (0.07) | ||||
Spatial Stroop Bin 5 | 0.32 (0.10) | 0.30 (0.09) | ||||
Arrow Flanker Bin 5 | 0.35 (0.13) | 0.36 (0.13) | ||||
Letter Flanker RTsd | 0.55 (0.07) | 0.55 (0.07) | ||||
Circle Flanker τ | 0.59 (0.08) | 0.53 (0.08) | ||||
SART TUTs | 0.28 (0.06) | 0.28 (0.07) | ||||
Number Stroop TUTs | 0.34 (0.06) | 0.32 (0.06) | ||||
Arrow Flanker TUTs | 0.27 (0.06) | 0.26 (0.06) | ||||
Letter Flanker TUTs | 0.25 (0.06) | 0.24 (0.06) | ||||
N-Back TUTs | 0.30 (0.06) | 0.33 (0.06) | ||||
Objective/Objectiveresid | ||||||
SART RTsd | 0.52 (0.04) | 0.14 (0.10) | 0.52 (0.04) | 0.54 (0.04) | 0.10 (0.13) | 0.52 (0.04) |
SART Omissions | 0.44 (0.04) | 0.02 (0.10) | 0.44 (0.04) | 0.46 (0.04) | − 0.05 (0.14) | 0.45 (0.04) |
Number Stroop τ | 0.67 (0.04) | 0.17 (0.13) | 0.67 (0.04) | 0.67 (0.04) | 0.24 (0.12) | 0.66 (0.04) |
Spatial Stroop Bin 5 | 0.49 (0.04) | 0.42 (0.11) | 0.49 (0.04) | 0.50 (0.04) | 0.46 (0.08) | 0.50 (0.04) |
Arrow Flanker Bin 5 | 0.64 (0.04) | 0.78 (0.14) | 0.64 (0.04) | 0.64 (0.04) | 0.70 (0.12) | 0.63 (0.04) |
Letter Flanker RTsd | 0.64 (0.04) | 0.31 (0.15) | 0.64 (0.04) | 0.63 (0.04) | 0.31 (0.10) | 0.63 (0.04) |
Circle Flanker τ | 0.69 (0.03) | 0.32 (0.12) | 0.69 (0.03) | 0.68 (0.03) | 0.38 (0.11) | 0.68 (0.03) |
Subjective/Subjectiveresid | ||||||
SART TUTs | 0.60 (0.04) | 0.55 (0.05) | 0.60 (0.04) | 0.60 (0.04) | 0.55 (0.06) | 0.62 (0.04) |
Number Stroop TUTS | 0.74 (0.04) | 0.66 (0.06) | 0.74 (0.04) | 0.74 (0.04) | 0.67 (0.06) | 0.74 (0.04) |
Arrow Flanker TUTS | 0.70 (0.04) | 0.65 (0.06) | 0.70 (0.04) | 0.70 (0.04) | 0.66 (0.06) | 0.69 (0.04) |
Letter Flanker TUTS | 0.51 (0.05) | 0.45 (0.06) | 0.51 (0.05) | 0.51 (0.05) | 0.45 (0.06) | 0.51 (0.05) |
N-Back TUTS | 0.62 (0.04) | 0.54 (0.05) | 0.62 (0.04) | 0.62 (0.04) | 0.52 (0.06) | 0.63 (0.04) |
Preregistered Confirmatory Factor Analyses of Individual Differences in Attention Consistency
Exploratory Hierarchical Model of Attention Consistency
Exploratory CFAs Including a Narrow “Attention Control” Factor
Construct and Measure | Model Names | |
---|---|---|
Bifactor CFA | Hierarchical CFA | |
Working Memory Capacity | ||
OPERSPAN | 0.62 (0.04) | 0.62 (0.04) |
READSPAN | 0.50 (0.05) | 0.50 (0.05) |
SYMSPAN | 0.62 (0.05) | 0.62 (0.05) |
ROTSPAN | 0.52 (0.06) | 0.52 (0.06) |
RUNSPAN | 0.58 (0.04) | 0.58 (0.04) |
COUNTERS | 0.63 (0.04) | 0.62 (0.04) |
Positive Schizotypy | ||
PERCABER1 | 0.60 (0.03) | 0.60 (0.03) |
PERCABER2 | 0.58 (0.03) | 0.58 (0.03) |
PERCABER3 | 0.64 (0.03) | 0.64 (0.03) |
MAGIDEA1 | 0.84 (0.03) | 0.85 (0.03) |
MAGIDEA2 | 0.83 (0.03) | 0.83 (0.03) |
MAGIDEA3 | 0.72 (0.04) | 0.72 (0.04) |
REFTHINK | 0.66 (0.03) | 0.66 (0.03) |
Attention Control | ||
SART d′ | − 0.45 (0.04) | − 0.46 (0.04) |
Antisaccade Letters | 0.77 (0.03) | 0.77 (0.03) |
Antisaccade Arrows | 0.76 (0.04) | 0.76 (0.04) |
Attention Consistency | ||
Number Stroop τ | 0.69 (0.10) | |
Spatial Stroop Bin 5 | 0.25 (0.12) | |
Arrow Flanker Bin 5 | 0.37 (0.12) | |
Letter Flanker RTsd | 0.40 (0.11) | |
Circle Flanker τ | 0.63 (0.09) | |
Number Stroop TUTs | 0.41 (0.08) | |
Arrow Flanker TUTs | 0.30 (0.07) | |
Letter Flanker TUTs | 0.22 (0.07) | |
N-Back TUTs | 0.27 (0.06) | |
Objective/Objectiveresid | ||
Number Stroop τ | 0.20 (0.16) | 0.61 (0.04) |
Spatial Stroop Bin 5 | 0.50 (0.09) | 0.51 (0.04) |
Arrow Flanker Bin 5 | 0.64 (0.09) | 0.67 (0.04) |
Letter Flanker RTsd | 0.47 (0.11) | 0.62 (0.04) |
Circle Flanker τ | 0.32 (0.13) | 0.68 (0.04) |
Subjective/Subjectiveresid | ||
Number Stroop TUTS | 0.62 (0.07) | 0.74 (0.05) |
Arrow Flanker TUTS | 0.61 (0.07) | 0.68 (0.05) |
Letter Flanker TUTS | 0.45 (0.06) | 0.50 (0.05) |
N-Back TUTS | 0.56 (0.06) | 0.63 (0.05) |