bpAcc (version 0.0-2)

ProbAccept: Probability of device acceptance - AANSI/AAMI-SP10 standard.

Description

Probability of device acceptance - AANSI/AAMI-SP10 standard.

Usage

ProbAccept(n, mu, sd, ptolerror = 0.85,
             distribution = "normal",
             criteria = "SP10:2006",
             simulate = FALSE, sim.count = 1e4,
             noshow = FALSE)

Value

It returns the probability of accepting the device (either simulated or exact).

Arguments

n

Sample size (evaluated people, as defined by Chandel et al. (2022)).

mu, sd

mean and standar deviation of the average errors distribution (normal).

ptolerror

Probability of tolerable error. Default is 0.85

distribution

Underlying distribution the errors \(\delta\) are pulled from. The default is normal, i.e. a normal distribution.

criteria

SP10 criteria used.

simulate

Logical. If TRUE, the acceptance probability is simulated from sim.count samples form a normal distribution. Else, the exact probability is returned. Default is FALSE.

sim.count

Integer, positive. Number of samples taken from normal distribution to estimate the probability of accepting the device.

noshow

Logical. If FALSE then results are prompted on terminal.

Author

Tanvi Chandel, Tet-Chuan Lee, Andrew Lowe, Victor Miranda.

Details

Computes the acceptance probability of a device D for blood pressure measuring under the ANSI/AAMI-SP10 standards for a size-n sample of average errors from a normal distribution with mean mu and stadard deviation sd. The probability of tolerable error is set to 0.85, by default. A tolerable error, according to the ANSI/AAMI-SP10, is a an error of 10mmHg or less on a single person, using the average of that person's readings.

Fuller details in Chandel, et al. (2022). The paper outlines the mathematical and statistical aspects behind ProbAccept. Two random variables are involved: the sample standard deviation and a transformation of the sample mean, resulting in a double integral over a two-dimensional region.

References

Chandel, T. and Lee, TC. and Lowe, A. and Miranda, V. (2022) Blood Pressure Device Accuracy Evaluation: Statistical Considerations with an Implementarion in R, Statistical Methods in Medical Research (under review).

See Also

ProbAccept psigmaami

Examples

## Probability of accepting a device with bias (mu) = 5, and true standard
## deviation = 5.
ProbAccept(n = 85, mu = 5, sd = 5, ptolerror = 0.85)


## Probability of accepting a device with bias (mu) = 5, and true standard
## deviation = 7.
ProbAccept(n = 85, mu = 5, sd = 7, ptolerror = 0.85)