
Elementary Signal Detection Theory
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Content
- Intro
- Contents
- 1 The signal-detection model
- 1.1 Some examples
- 1.2 Hits and false alarms
- 1.3 The statistical decision representation
- Reference notes
- Exercises
- 2 The equal-variance Gaussian model
- 2.1 The Gaussian detection model
- 2.2 The equal-variance model
- 2.3 Estimating d' and ?
- 2.4 Measuring bias
- 2.5 Ideal observers and optimal performance
- Reference notes
- Exercises
- 3 Operating characteristics and the Gaussian model
- 3.1 The operating characteristic
- 3.2 Isocriterion and isobias contours
- 3.3 The equal-variance Gaussian operating characteristic
- 3.4 The unequal-variance Gaussian model
- 3.5 Fitting an empirical operating characteristic
- 3.6 Computer programs
- Reference notes
- Exercises
- 4 Measures of detection performance
- 4.1 The distance between distributions
- 4.2 Distances to the isosensitivity line
- 4.3 The area under the operating characteristic
- 4.4 Recommendations
- 4.5 Measures of bias
- 4.6 Aggregation of detection statistics
- Reference notes
- Exercises
- 5 Confidence ratings
- 5.1 The rating experiment
- 5.2 The detection model for rating experiments
- 5.3 Fitting the rating model
- Exercises
- 6 Forced-choice procedures
- 6.1 The forced-choice experiment
- 6.2 The two-alternative forced-choice model
- 6.3 Position bias
- 6.4 Forced-choice and yes/no detection tasks
- 6.5 The K-alternative forced-choice procedure
- Exercises
- 7 Discrimination and identification
- 7.1 The two-alternative discrimination task
- 7.2 The relationship between detection and discrimination
- 7.3 Identification of several stimuli
- Reference notes
- Exercises
- 8 Finite-state models
- 8.1 The high-threshold model
- 8.2 The high-threshold operating characteristic
- 8.3 Other finite-state representations
- 8.4 Rating-scale data
- Reference notes
- Exercises
- 9 Likelihoods and likelihood ratios
- 9.1 Likelihood-ratio tests
- 9.2 The Bayesian observer
- 9.3 Likelihoods and signal-detection theory
- 9.4 Non-Gaussian distributions
- Reference notes
- Exercises
- 10 Multidimensional stimuli
- 10.1 Bivariate signal detection
- 10.2 Likelihood ratios
- 10.3 Compound signals
- 10.4 Signals with correlated components
- 10.5 Uncertainty effects
- Reference notes
- Exercises
- 11 Statistical treatment
- 11.1 Variability in signal-detection studies
- 11.2 Fundamental sampling distributions
- 11.3 Simple detection statistics
- 11.4 Confidence intervals and hypothesis tests
- 11.5 Goodness-of-fit tests
- 11.6 Comparison of hierarchical models
- 11.7 Interobserver variability
- Reference notes
- Exercises
- Appendix: A summary of probability theory
- A.1 Basic definitions
- A.2 Random variables
- A.3 Some specific distributions
- References
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- J
- K
- L
- M
- N
- O
- P
- R
- S
- T
- U
- V
- W
- X
- Z
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