Anti-Saccade Error Rate

Classify initial antisaccade directional errors from signed horizontal cue and eye displacements after supplied valid-trial exclusions; corrective later movements do not erase the initial error.

Description

An antisaccade error is an initial eye movement toward a cue when the task calls for the opposite direction.

An antisaccade error is an initial eye movement toward a cue when the task calls for the opposite direction. This tool uses the signs of supplied horizontal directions.

The tool returns validTrialIndexes (valid trial indexes); errorTrialIndexes (error trial indexes); errorFraction (error fraction). Input measurements and model parameters are supplied by the caller; the tool computes the stated summary rather than acquiring those measurements.

When to use Anti-Saccade Error Rate

Use Anti-Saccade Error Rate when you already have cueHorizontalDegrees, initialSaccadeHorizontalDegrees, validTrialFlags and want validTrialIndexes, errorTrialIndexes, errorFraction. This is useful for checking a supplied calculation, documenting a measurement convention, or comparing observations prepared on the same basis.

How to use Anti-Saccade Error Rate and understand its results

Enter cueHorizontalDegrees, initialSaccadeHorizontalDegrees, validTrialFlags using the field table below. Match the units, ordering and data boundaries described in the calculation.
Run the tool after checking the stated bounds and matching paired observations or categories. A malformed request gives a tool error rather than a usable measurement.
Read validTrialIndexes, errorTrialIndexes, errorFraction. Use the calculation and interpretation below to distinguish amounts, ratios, signs and decision flags where applicable.
Review the supplied parameters and assumptions before using the result in a report or comparing it with another observation.

Input field	Meaning	Value type and bounds	Requirement
cueHorizontalDegrees	Cue horizontal degrees	list of number	Required
initialSaccadeHorizontalDegrees	Initial saccade horizontal degrees	list of number	Required
validTrialFlags	Valid trial flags	list of number	Required

Filter binary valid-trial flags, require nonzero cue and movement directions for valid trials and return original zero-based valid and error indexes.

error = cueDirection×saccadeDirection > 0; error fraction = errors/validTrials

The symbols refer to the supplied quantities or generated values described above; unit conversions and comparison boundaries follow the stated implementation.

json

{
  "input": {
    "cueHorizontalDegrees": [
      -10,
      10,
      10
    ],
    "initialSaccadeHorizontalDegrees": [
      5,
      5,
      -5
    ],
    "validTrialFlags": [
      1,
      1,
      1
    ]
  },
  "output": {
    "validTrialIndexes": [
      0,
      1,
      2
    ],
    "errorTrialIndexes": [
      1
    ],
    "errorFraction": 0.3333333333333333
  }
}

Limitations and assumptions

Invalid trials are excluded. No latency, corrective saccade or amplitude criterion is applied.

Numerical inputs must be finite. The tool checks its declared input shape and calculation constraints; those checks do not verify the quality, calibration or representativeness of the supplied observations.

Alternative or Complementary methods

Saccade Velocity: Derive planar eye-path speeds from timestamped horizontal/vertical angles; finite-difference peaks are cadence-limited and not instantaneous physiological peaks. Saccade Latency: Interpolate the first supplied eye-speed threshold crossing after a cue; blink rejection and direction classification are not inferred.

Methodological background: Spike train variability.^[1]

References

Spike train variability — Gerstner et al.; Neuronal Dynamics

Similar or alternative tools

Saccade Velocity
Derive planar eye-path speeds from timestamped horizontal/vertical angles; finite-difference peaks are cadence-limited and not instantaneous physiological peaks.
Saccade Latency
Interpolate the first supplied eye-speed threshold crossing after a cue; blink rejection and direction classification are not inferred.