psigmaami {bpAcc} R Documentation

## Distribution function of the sigma-aami transformation (not vectorized).

### Description

Distribution function of the sigma-aami transformation (not vectorized).

### Usage


psigmaami(sigmaami, mu, std.dev, n, ptolerror = 0.85, lower.tail = TRUE)



### Arguments

 sigmaami A single, positive, quantile. See below for further details. mu, std.dev mean and standar deviation of the average errors distribution (normal). n sample size ptolerror Probability of tolerable error, Default is 0.85 lower.tail logical; it TRUE (default), probabilities are P[sigmaami \le x] otherwise, P[sigmaami > x].

### Details

This is the distribution function of the sigmaami transformation.

A size-n sample of blood pressure average errors (average of the difference between three device measurements and the three corresponding reference readings) is drawn from a normal distribution with mean mu and standard deviation std.dev. The r.v. sigmaami results from transforming xbar, the sample mean, assuming the proportion of drawn errors lie in (-delta, delta) with probability ptolerror, that is sigmaami=sigmaami(xbar).

### Value

psigmaami gives the distribution function.

### Author(s)

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

### 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).

ProbAccept

### Examples



## Sample of n = 85 average errors from a normal distribution with mean 3 and st.dev = 2.
psigmaami(sigmaami = 4, mu = 3, std.dev = 2, n = 85)



[Package bpAcc version 0.0-2 Index]