Szalma & Hancock HFES Europe, 20061 Fuzzy Signal Detection Theory and Human Performance: A Review of Empirical Evidence for Model Validity J.L. Szalma.

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Szalma & Hancock HFES Europe, Fuzzy Signal Detection Theory and Human Performance: A Review of Empirical Evidence for Model Validity J.L. Szalma and P.A. Hancock University of Central Florida

Szalma & Hancock HFES Europe, How Do We Assess Performance? Signal Detection Theory Hit (H)Miss (M) False Alarm (FA) Correct Rejection (CR) Response YesNo State of the World Signal Noise

Szalma & Hancock HFES Europe, Multiple Levels of Threat in Law Enforcement Levels of Threat MinimalLowModerateHighSevere PresenceVerbalControllingIncapacitatingDeadly Levels of Response

Szalma & Hancock HFES Europe, Fuzzy Signal Detection Theory Traditional Set Theory: A ∩ Ā = 0 Fuzzy Set Theory: A ∩ Ā ≠ 0 Hancock, Masalonis, & Parasuraman (2000) Parasuraman, Masalonis, & Hancock (2000)

Szalma & Hancock HFES Europe, Fuzzy Signal Detection Theory Events can belong to the set “signal” (s) to a degree ranging from 0 to 1 Events can belong to the set “response” (r) to a degree ranging from 0 to 1 Degrees of membership possible

Szalma & Hancock HFES Europe, Mapping Functions

Szalma & Hancock HFES Europe, Assumptions of SDT  Noise and Signal+Noise distributions are normally distributed Linear ROC  Variances of the two distributions are equal Unit slope ZHZH Z FA

Szalma & Hancock HFES Europe, Comparison of Fuzzy and Crisp ROC Curves CrispFuzzy

Szalma & Hancock HFES Europe, Comparison of Fuzzy and Crisp ROC Curves Crisp Fuzzy

Szalma & Hancock HFES Europe, For a task requiring temporal discrimination:  Sensitivity is higher when data analyzed with FSDT compared to traditional analysis  Fuzzy response sets yield more accurate performance assessment than binary response sets (ratings match stimulus level more closely) What do we know?

Szalma & Hancock HFES Europe, Application of FSDT to Tank Identification

Szalma & Hancock HFES Europe, Results: Fuzzy SDT Binary Response Set Data of all participants met the Gaussian and equal variance assumptions 5 Category Response Set.  The equal variance Gaussian model fit for 3 observers.  The unequal variance model fit for one observer.  Neither model fit for two observers

Szalma & Hancock HFES Europe, Results: Fuzzy SDT 100 Category Response Set.  Equal variance Gaussian model fit for 2 observers  Unequal variance model fit the data for one observer  Neither model fit for 3 observers

Szalma & Hancock HFES Europe, Comparison of Crisp and Fuzzy ROC Functions Crisp Fuzzy

Szalma & Hancock HFES Europe, Comparison of Crisp and Fuzzy ROC Functions Crisp Fuzzy

Szalma & Hancock HFES Europe, Overall Conclusions Gaussian assumption met Equal variance assumption –May be met –Depends on effect of instruction set What is a ‘fuzzy response criterion’?

Szalma & Hancock HFES Europe, Manipulate instruction set Manipulate stimulus distribution (‘signal rate’) Establish mapping functions using multiple methodologies Question: What is the structure of the FSDT decision space? Future Directions

Szalma & Hancock HFES Europe, ACKNOWLEDGEMENT This work was supported in part by the Department of Defense Multidisciplinary University Research Initiative (MURI) program administered by the Army Research Office under Grant DAAD P.A. Hancock, Principal Investigator. The views expressed in this work are those of the authors and do not necessarily reflect official Army policy. The authors wish to thank Dr. Sherry Tove, Dr. Elmar Schmeisser, and Dr. Mike Drillings for providing administrative and technical direction for the Grant.