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Receiver Operating Characteristics
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2IFC task assume Bernoulli counter Bernoulli distributions Bernoulli trials binomial distribution chi-square distributions chi-square ROCs constant corresponding cutoff decision axis decision goal decision rule decision theory density functions distribution function equal prior probabilities equal-variance equation example expected value false-alarm rate family of psychometric family of ROCs fixed gamma distributions gamma observer gamma ROCs Gaussian geometric distribution hit rate integral isocriterion contour L(xo likelihood ratio likelihood-ratio observer linear monotone likelihood-ratio family n-distribution N-N ROC negative binomial distribution negative diagonal negative exponential distributions Neyman-Pearson observer noise normal distributions observation interval P(sn pair of distributions Poisson counting Poisson distribution Poisson observer Poisson process power-law ROC probability distributions proper decision variable proper ROC psychometric functions psychophysics random variable ROCs based say yes shows signal detection theory slope sn-event sn-trials sn)c square-root law straight-line segments strictly monotone Swets tion transformation value of max-P(C values of P(Y