All results currently shown are from SIMULATED participants — no human data have been collected.
Results · detection probability · SIMULATED

Detection probability

Whether a change was detected at all — pressed, after onset, and localised to the right object — as a function of the design factors and the stimulus features. Catch-trial false-alarm rate: 3.4% (294 catch trials).

01 Magnitude and speed

Detection rises with end magnitude and falls with duration

Detection vs magnitude by duration
Detection vs end magnitude, by duration. Means ±95% CI over trials.
Detection vs speed
Detection vs speed. Speed = normalised end magnitude ÷ duration; the design has nine discrete speeds.
By duration
duration (ms)ndetected±95% CImedian RT (ms)mean magnitude at detectionmean confidence
300059140.3%4.0%2911.60.683.04
600054536.7%4.1%5502.10.673.12
1200053836.3%4.1%10001.40.612.94
By magnitude level
magnitude level (0 small … 2 large)ndetected±95% CImedian RT (ms)mean magnitude at detectionmean confidence
057712.0%2.6%4140.20.272.09
153833.5%4.0%4775.50.522.76
255968.7%3.8%4635.90.793.33
Duration × magnitude
duration × levelndetected±95% CImedian RT (ms)mean magnitude at detectionmean confidence
3000 × 020613.6%4.7%2861.60.302.14
3000 × 119035.8%6.8%3180.70.532.72
3000 × 219572.8%6.3%2820.10.833.37
6000 × 01938.3%3.9%52760.302.13
6000 × 117330.6%6.9%5526.80.502.83
6000 × 217973.2%6.5%55330.793.36
12000 × 017814.0%5.1%6658.60.212.00
12000 × 117533.7%7.0%10681.10.522.73
12000 × 218560.0%7.1%10048.50.753.26
02 Type and place

Change type, eccentricity, clutter and category

Detection by change type
Detection by change type. Types are compared at their own magnitude scales; the normalisation is within type.
Spatial heatmap of detection
Where changes are missed. Detection rate by target location on an 8×5 grid; cross marks fixation.
Magnitude at detection by eccentricity
Peripheral changes need more magnitude before they are noticed. Distribution of normalised magnitude at the moment of response among detected trials; the censored share (never detected) is shown above each box and is modelled, not dropped, in the AFT.
By change type
typendetected±95% CImedian RT (ms)mean magnitude at detectionmean confidence
appear23851.7%6.4%4138.90.643.05
brightness23340.3%6.3%52000.673.10
disappear23644.5%6.4%4723.90.663.07
hue23730.0%5.8%51800.683.08
orientation24123.2%5.4%4631.40.713.07
position24140.7%6.2%4194.70.602.85
size24834.7%5.9%4513.60.673.05
By eccentricity bin
binndetected±95% CImedian RT (ms)mean magnitude at detectionmean confidence
central51152.6%4.3%40030.592.86
mid56827.6%3.7%5546.40.693.12
peripheral59534.8%3.8%4615.90.723.19
Eccentricity × magnitude
bin × levelndetected±95% CImedian RT (ms)mean magnitude at detectionmean confidence
central × 017520.6%6.0%4089.20.252.00
central × 114352.4%8.2%3680.70.462.63
central × 219381.9%5.4%3913.70.733.17
mid × 02138.9%3.8%4302.90.282.16
mid × 119826.8%6.2%6086.90.573.00
mid × 215754.1%7.8%54570.863.41
peripheral × 01897.4%3.7%4218.30.292.21
peripheral × 119726.4%6.2%4675.20.542.69
peripheral × 220967.5%6.4%4372.50.833.47
By clutter
clutterndetected±95% CImedian RT (ms)mean magnitude at detectionmean confidence
high82130.4%3.2%5425.90.703.14
low85344.9%3.3%4264.20.632.96
By target category
categoryndetected±95% CImedian RT (ms)mean magnitude at detectionmean confidence
bird20628.2%6.2%3890.30.623.05
box22425.0%5.7%6117.70.703.16
bush15833.5%7.4%6074.10.693.17
car14546.2%8.1%5438.10.562.75
house14072.9%7.4%3221.20.632.86
lamp14528.3%7.3%7446.90.723.32
person28233.0%5.5%4633.80.743.27
rock14736.7%7.8%4102.10.663.02
sign13049.2%8.6%5471.30.582.88
tree9746.4%10.0%2885.50.703.00
03 Models

Mixed-effects logistic regression

Random intercept per participant (SD = 0.9485 on the logit scale, statsmodels BinomialBayesMixedGLM (VB)); alongside a fixed-effects fit with cluster-robust standard errors. Reference change type: hue.

Coefficients (log-odds of detection)
termmixed βmixed SEORcluster-robust β95% CIp
Intercept-3.2640.0680.04-3.201[-4.10, -2.30]p = 2.7e-12
log2_duration-0.2270.0250.80-0.179[-0.36, 0.00]p = 0.052
magnitude_norm5.4220.089226.314.862[4.26, 5.46]p = 1.0e-56
ecc_100u-0.3490.0250.71-0.262[-0.40, -0.13]p = 1.4e-4
log_area_c0.5310.0831.700.488[0.32, 0.65]p = 8.0e-9
contrast_c0.7230.3042.060.352[-0.27, 0.98]p = 0.268
clutter_high-0.7600.0990.47-0.696[-0.99, -0.40]p = 4.8e-6
sal_z0.4210.0671.520.404[0.24, 0.57]p = 9.3e-7
target_importance0.8490.1102.340.817[0.46, 1.17]p = 5.5e-6
trial_frac0.1730.1191.190.170[-0.23, 0.57]p = 0.405
type_appear0.5740.1681.780.571[0.16, 0.99]p = 0.007
type_brightness0.2560.1771.290.353[-0.17, 0.88]p = 0.186
type_disappear0.2930.1651.340.333[-0.10, 0.77]p = 0.133
type_orientation-0.7650.2020.47-0.647[-1.19, -0.10]p = 0.020
type_position0.6610.1811.940.609[0.09, 1.13]p = 0.023
type_size0.2180.1781.240.252[-0.19, 0.70]p = 0.267
Participant heterogeneity
Participants differ a lot. Per-participant detection rate ±95% CI; dashed line = grand mean.