Human Machine Systems Assignment

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Questions and Answers

Which inspector has greater sensitivity (i.e., is better able to detect a flaw in the weld)?

  • Inspector Clouseau
  • Inspector Morse (correct)

Inspector Morse has a neutral criterion, and Inspector Clouseau has a liberal criterion. Draw and label a vertical line representing the criterion in each graph. For which inspector is (\beta < 1)?

Inspector Clouseau has (\beta < 1)

If Inspector Clouseau had a miss rate of .20 and a correct rejection rate of .80, what would his d' value be? (Hint: may use attached d' table, Wickens)

d' = 1.28

Construct an ROC curve for each observer (plot both curves on the same axes). Label the axes.

<p>The x-axis of the ROC curve represents the false alarm rate, and the y-axis represents the hit rate. The ROC curve for each observer is a plot of the hit rate as a function of the false alarm rate, for different criteria.</p> Signup and view all the answers

Were both observers affected by the payoffs the same amount, or was one observer more affected by the payoffs? Explain.

<p>Inspector Clouseau was more affected by the payoffs. (C)</p> Signup and view all the answers

The performance of a third inspector, Inspector Smith, was also monitored under different payoff conditions. His standardized ROC curve, plotted on normal probability paper, had a shallow slope (less than 45 degrees). How would you choose to quantify this inspector's sensitivity, and why?

<p>A shallow slope on the standardized ROC curve suggests that the inspector is less sensitive to the signal. It is better to quantify this inspector's sensitivity by using the area under the ROC curve (AUC), instead of d', because the AUC is more robust to changes in the criterion.</p> Signup and view all the answers

If Inspector Morse was paid $10 for every hit, but charged $1 for every false alarm, compute the optimal (\beta ) value for this inspector. (a) Assume P(N)/P(S)=1 (1 pt).

<p>The optimal (\beta ) is 10, as the payoff for a hit is 10 times higher than the cost of a false alarm. (b) Assume that P(N) = 0.8 (1 pt) HINT: Given only P(N) it is possible to determine P(S) and P(N)/P(S)</p> Signup and view all the answers

Flashcards

Sensitivity

The ability to detect a true signal amid noise.

Inspector Clouseau

An inspector with a liberal criterion for detecting weld flaws.

Inspector Morse

An inspector with a neutral criterion for detecting weld flaws.

Criterion

The standard that determines whether a signal is detected.

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d' (d prime)

A measure of sensitivity in signal detection theory.

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Miss Rate

The proportion of false negatives when a signal is present.

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Correct Rejection Rate

The proportion of accurate identifications of noise.

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ROC Curve

A graphical representation of a detector's performance.

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Hit Rate

The frequency of correctly detecting a signal when it is present.

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False Alarm Rate

The frequency of incorrectly detecting a signal when it is not present.

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Payoff Conditions

The reward structure affecting how inspectors make detections.

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Session One Rates

Hit rates: Clouseau .80, Morse .99; FA Rates: Clouseau .44, Morse .63.

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Session Two Rates

Hit rates: Clouseau .65, Morse .85; FA Rates: Clouseau .27, Morse .15.

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Session Three Rates

Hit rates: Clouseau .45, Morse .50; FA Rates: Clouseau .10, Morse .02.

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Quantifying Sensitivity

Determining how effectively an inspector identifies signals based on performance.

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Optimal b value

The best balance point for false alarms versus hits in a detection task.

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P(N)/P(S)

The ratio of the probabilities of noise to the probability of a signal.

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Performance Monitoring

The observation and analysis of how inspectors detect flaws.

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False Alarm

An incorrect report of a signal when it is actually noise.

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Wickens Table

A reference table for calculating d' values in detection theory.

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Session Effects

Changes in inspector behavior based on reward systems across sessions.

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Inspector Smith

A third inspector whose performance indicates overall sensitivity.

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Standardized ROC Curve

A normalization of the ROC curve for better sensitivity assessment.

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Shallow Slope

Indicates poor detection capability in an ROC curve.

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Positive Rate

The ratio of hits to total positive cases detected.

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Negative Rate

The proportion of times a non-signal is correctly identified.

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Dynamic Adjustment

Changing detection strategy based on payoff conditions.

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Detection Theory

A field that studies how decisions are made under uncertainty.

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Cognitive Bias

A systematic pattern of deviation from norm or rationality in judgment.

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Signal Detection

The process of identifying the presence of a signal amid distractions.

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Study Notes

Human Machine Systems Assignment

  • Inspectors Clouseau and Morse monitor weld quality.
  • Clouseau's neural activity distributions are shown for noise and signal+noise.
  • Morse's neural activity distributions are also shown.
  • Sensitivity: Clouseau is better at detecting flaws than Morse.
  • Criteria:
    • Morse has a neutral criterion.
    • Clouseau has a liberal criterion.
  • β < 1: This occurs for Morse, with β representing the criterion in their respective ROC graphs.
  • Clouseau's d' value: If miss rate = 0.20 and correct rejection rate = 0.80, Clouseau’s d' value can be determined using the formula or a table.
  • Payoff Conditions:
    • Inspectors' performance was evaluated in three sessions with different reward structures.
    • Session 1: $1 for each correct detection.
    • Session 2: $1 for each correct detection, but a $1 penalty for false alarms.
    • Session 3: Nothing for correct detection, but $1 penalty for false alarms.
  • ROC Curves:
    • Create ROC curves plotting sensitivity (hit rate) against false alarm rate for each session.
    • All curves should be plotted on the same axes.
  • Observer Effect of Payoffs: How much the two observers' performance was affected by the different reward structures.
  • Quantifying Inspector Smith's Sensitivity: Given that Inspector Smith's ROC curve on normal probability paper has a slope of less than 45 degrees, sensitivity is quantified by measuring the area under the ROC curve; a shallow slope signals less sensitivity.
  • Optimal β Value for Morse: Calculation of the optimal beta value (β) if paid $10 for every hit, and charged $1 for each false alarm.

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