A detection error tradeoff (DET) graph is a graphical plot of error rates for binary classification systems, plotting false reject rate vs. false accept rate. The x- and y-axes are scaled non-linearly by their normal deviates, yielding tradeoff curves that are more linear than ROC curves

Receiver operating characteristic

In signal detection theory, a receiver operating characteristic , or simply ROC curve, is a graphical plot of the sensitivity, or true positive rate, vs. false positive rate , for a binary classifier system as its discrimination threshold is varied...

, and spend most of the image area highlighting the differences of importance in the critical operating region.

Axis warping

The normal deviate mapping (or normal quantile function, or inverse normal cumulative distribution) is given by the probit function

Probit

In probability theory and statistics, the probit function is the inverse cumulative distribution function , or quantile function associated with the standard normal distribution...

, so that the horizontal axis is x = probit(P_fa) and the vertical is y = probit(P_fr),
where P_fa and P_fr are the false-accept and false-reject rates.

The probit mapping maps probilities which live in the unit interval [0,1], to the extended real line [−∞, +∞]. Since this makes the axes infinitely long, one has to confine the plot to some finite rectangle of interest.

External links

• Example DET graph

See also

• Receiver operating characteristic
  Receiver operating characteristic
  In signal detection theory, a receiver operating characteristic , or simply ROC curve, is a graphical plot of the sensitivity, or true positive rate, vs. false positive rate , for a binary classifier system as its discrimination threshold is varied...
  
  
• Constant false alarm rate
  Constant false alarm rate
  Constant false alarm rate detection refers to a common form of adaptive algorithm used in radar systems to detect target returns against a background of noise, clutter and interference.Other detection algorithms are not adaptive...
  
  
• Detection theory
  Detection theory
  Detection theory, or signal detection theory, is a means to quantify the ability to discern between information-bearing energy patterns and random energy patterns that distract from the information Detection theory, or signal detection theory, is a means to quantify the ability to discern between...
  
  
• Expected performance curve
• False alarm
  False alarm
  A false alarm, also called a nuisance alarm, is the fake report of an emergency, causing unnecessary panic and/or bringing resources to a place where they are not needed. Over time, repeated false alarms in a certain area may cause occupants to start to ignore all alarms, knowing that each time it...