Class ReactionTimeAnalysis

java.lang.Object

org.episteme.social.psychology.ReactionTimeAnalysis

public final class ReactionTimeAnalysis
extends Object

Provides mathematical models for analyzing human reaction times and motor control. Includes implementations of Hick's Law, Fitts's Law, and basic decision probability models. Modernized to use Quantity and Real for high-precision physical and cognitive modeling.

Since:

1.0

Version:

1.2

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
static Quantity<Time>	fittsLaw(Quantity<Time> a, Quantity<Time> b, Quantity<Length> d, Quantity<Length> w)	Models movement time to a target using Fitts's Law.
static Quantity<Time>	hicksLaw(Quantity<Time> a, Quantity<Time> b, int n)	Models decision time based on the number of choices using Hick's Law.
static Real	indexOfDifficulty(Quantity<Length> d, Quantity<Length> w)	Calculates the Index of Difficulty (ID) for a pointing task.
static List<Real>	lucisChoiceProbability(List<Real> utilities)	Calculates choice probabilities using Luce's Choice Axiom.
static Quantity<Time>	typicalSimpleRT(int age)	Provides a rough estimate of Simple Reaction Time (SRT) based on age.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

hicksLaw

public static Quantity<Time> hicksLaw(Quantity<Time> a,
 Quantity<Time> b,
 int n)

Models decision time based on the number of choices using Hick's Law. RT = a + b * log2(n + 1)

Parameters:

a - Base reaction time

b - Processing speed coefficient

n - Number of equally probable choices

Returns:

Estimated reaction time

fittsLaw

public static Quantity<Time> fittsLaw(Quantity<Time> a,
 Quantity<Time> b,
 Quantity<Length> d,
 Quantity<Length> w)

Models movement time to a target using Fitts's Law. MT = a + b * log2(2D / W)

Parameters:

a - Intercept (Time)

b - Slope (Time per bit)

d - Distance to target center

w - Width of target (tolerance)

Returns:

Estimated movement time

typicalSimpleRT

public static Quantity<Time> typicalSimpleRT(int age)

Provides a rough estimate of Simple Reaction Time (SRT) based on age.

Parameters:

age - Age in years (Quantity or Real) - using int as it's a discrete demographic count here

Returns:

Estimated SRT

indexOfDifficulty

public static Real indexOfDifficulty(Quantity<Length> d,
 Quantity<Length> w)

Calculates the Index of Difficulty (ID) for a pointing task. ID = log2(2D / W)

Parameters:

d - Distance to target

w - Width of target

Returns:

Index of Difficulty (dimensionless Real)

lucisChoiceProbability

public static List<Real> lucisChoiceProbability(List<Real> utilities)

Calculates choice probabilities using Luce's Choice Axiom.

Parameters:

utilities - List of utility values

Returns:

List of probabilities