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Mathematical Models of Judgment

Mathematical Models of Judgment Quiz

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Questions

Question 1 Multiple Choice (Single Answer)

In signal detection theory, the probability of a hit is defined as the probability of:

  1. Correctly identifying a signal when it is present.
  2. Incorrectly identifying a signal when it is absent.
  3. Correctly identifying a noise when it is present.
  4. Incorrectly identifying a noise when it is absent.
Question 2 Multiple Choice (Single Answer)

In signal detection theory, the probability of a false alarm is defined as the probability of:

  1. Correctly identifying a signal when it is present.
  2. Incorrectly identifying a signal when it is absent.
  3. Correctly identifying a noise when it is present.
  4. Incorrectly identifying a noise when it is absent.
Question 3 Multiple Choice (Single Answer)

The receiver operating characteristic (ROC) curve is a graphical representation of the relationship between:

  1. The probability of a hit and the probability of a false alarm.
  2. The probability of a hit and the probability of a miss.
  3. The probability of a false alarm and the probability of a miss.
  4. The probability of a hit and the probability of a correct rejection.
Question 4 Multiple Choice (Single Answer)

The area under the ROC curve (AUC) is a measure of:

  1. The overall accuracy of a signal detection system.
  2. The sensitivity of a signal detection system.
  3. The specificity of a signal detection system.
  4. The efficiency of a signal detection system.
Question 5 Multiple Choice (Single Answer)

The Weber-Fechner law states that the just noticeable difference (JND) between two stimuli is:

  1. A constant proportion of the original stimulus.
  2. A constant difference between the two stimuli.
  3. A logarithmic function of the original stimulus.
  4. An exponential function of the original stimulus.
Question 6 Multiple Choice (Single Answer)

The Fechner equation is a mathematical expression of the Weber-Fechner law that states that:

  1. $$S = k log R$$
  2. $$S = kR$$
  3. $$S = kR^2$$
  4. $$S = kR^3$$
Question 7 Multiple Choice (Single Answer)

The Stevens power law is a mathematical expression of the relationship between the perceived magnitude of a stimulus and the physical magnitude of the stimulus that states that:

  1. $$S = kR^n$$
  2. $$S = k log R$$
  3. $$S = kR$$
  4. $$S = kR^2$$
Question 8 Multiple Choice (Single Answer)

The Thurstone model of judgment is a mathematical model that assumes that:

  1. Judgments are based on a single underlying dimension.
  2. Judgments are based on multiple underlying dimensions.
  3. Judgments are based on a combination of underlying dimensions and noise.
  4. Judgments are based on a random process.
Question 9 Multiple Choice (Single Answer)

The Shepard-Kruskal model of judgment is a mathematical model that assumes that:

  1. Judgments are based on a single underlying dimension.
  2. Judgments are based on multiple underlying dimensions.
  3. Judgments are based on a combination of underlying dimensions and noise.
  4. Judgments are based on a random process.
Question 10 Multiple Choice (Single Answer)

The Luce choice model is a mathematical model that assumes that:

  1. The probability of choosing one option over another is proportional to the ratio of their subjective values.
  2. The probability of choosing one option over another is proportional to the difference between their subjective values.
  3. The probability of choosing one option over another is proportional to the product of their subjective values.
  4. The probability of choosing one option over another is proportional to the sum of their subjective values.
Question 11 Multiple Choice (Single Answer)

The Tversky-Kahneman prospect theory is a mathematical model of decision making under risk that assumes that:

  1. People are more sensitive to losses than to gains.
  2. People are more risk-averse in the domain of gains than in the domain of losses.
  3. People overweight small probabilities and underweight large probabilities.
  4. All of the above.
Question 12 Multiple Choice (Single Answer)

The cumulative prospect theory is a mathematical model of decision making under risk that is an extension of the prospect theory that assumes that:

  1. The value of a gain or loss is a function of its magnitude and its probability.
  2. The value of a gain or loss is a function of its magnitude and its rank in the distribution of possible outcomes.
  3. The value of a gain or loss is a function of its magnitude, its probability, and its rank in the distribution of possible outcomes.
  4. None of the above.
Question 13 Multiple Choice (Single Answer)

The rank-dependent utility model is a mathematical model of decision making under risk that assumes that:

  1. The value of an outcome is a function of its rank in the distribution of possible outcomes.
  2. The value of an outcome is a function of its magnitude and its rank in the distribution of possible outcomes.
  3. The value of an outcome is a function of its probability and its rank in the distribution of possible outcomes.
  4. The value of an outcome is a function of its magnitude, its probability, and its rank in the distribution of possible outcomes.
Question 14 Multiple Choice (Single Answer)

The mean-variance model of portfolio selection is a mathematical model that assumes that:

  1. Investors are risk-averse and seek to maximize their expected return for a given level of risk.
  2. Investors are risk-neutral and seek to maximize their expected return regardless of the level of risk.
  3. Investors are risk-seeking and seek to maximize their level of risk for a given expected return.
  4. None of the above.
Question 15 Multiple Choice (Single Answer)

The capital asset pricing model (CAPM) is a mathematical model of asset pricing that assumes that:

  1. The expected return of an asset is a linear function of its beta.
  2. The expected return of an asset is a linear function of its alpha.
  3. The expected return of an asset is a linear function of its Sharpe ratio.
  4. The expected return of an asset is a linear function of its Treynor ratio.
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