Thursday, 1 August 2013

Statistical Measures of Biometrics

To know how well something performs, we must be able to quantify the performance. For automobiles, we measure gas consumption; for heating and cooling units, we measure effectiveness in British thermal units (BTU s). Biometrics has own similar performance measures.
To know if a car is receiving good fuel economy or if a heater or air conditioner is doing its job, we look at what the statistics mean. We then compare them to our expectations or some other accepted norm. At no time does knowing how the presentation measure was calculated impact our ability to appraise performance. Similarly, for biometrics, how a presentation measure is calculated is of little value. There are exceptions to this statement, which will be discussed. In general, just knowing what a performance measurement means is enough. For our purposes, the statistical measures to be used for biometrics are:
The FAR is defined as the probability that a user making a false claim about his/her identity will be verified as that false identity. For example, if Matt types Chris' user ID into the biometric login for Chris' PC, Matt has just made a false claim that he is Chris. Matt presents his biometric measurement for verification. If the biometric system matches Matt to Chris, then there is a false reception. This could happen because the matching threshold is set too high, or it could be that Matt's biometric characteristic is very similar to Chris'. Either way, a false getting has occurred.
When the FAR is intended by a biometrics vendor, it is normally very straightforward. Using our example, it is equal to the number of times that Matt has productively authenticated as Chris divided by his total number of attempts. In this case, Chris is referred to as the “Match User” and Matt as the “Non Match User.” The simple math formula for this looks like the following, where represents a number to uniquely identify each user.To know how well something performs, we must be able to quantify the performance. For automobiles, we measure gas consumption; for heating and cooling units, we measure effectiveness in British thermal units (BTUs). Biometrics has own similar performance measures.
To know if a car is receiving good fuel economy or if a heater or air conditioner is doing its job, we look at what the statistics mean. We then compare them to our expectations or some other accepted norm. At no time does knowing how the presentation measure was calculated impact our ability to appraise performance. Similarly, for biometrics, how a presentation measure is calculated is of little value. There are exceptions to this statement, which will be discussed. In general, just knowing what a performance measurement means is enough. For our purposes, the statistical measures to be used for biometrics are:
The FAR is defined as the probability that a user making a false claim about his/her identity will be verified as that false identity. For example, if Matt types Chris' user ID into the biometric login for Chris' PC, Matt has just made a false claim that he is Chris. Matt presents his biometric measurement for verification. If the biometric system matches Matt to Chris, then there is a false reception. This could happen because the matching threshold is set too high, or it could be that Matt's biometric characteristic is very similar to Chris'. Either way, a false getting has occurred.
When the FAR is intended by a biometrics vendor, it is normally very straightforward. Using our example, it is equal to the number of times that Matt has productively authenticated as Chris divided by his total number of attempts. In this case, Chris is referred to as the “Match User” and Matt as the “Non Match User.” The simple math formula for this looks like the following, where represents a number to uniquely identify each user.

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