flighttime: flighttime

In statsdavew/apts.doe: Example Experimental Designs (and Data) for APTS Design of Experiments

Description

Function to simulate the response (flight time) from the paper helicopter experiment, using a semi-physical model based on dimensional analysis

Usage

flighttime(w, r, t, d, theta0 = exp(0.102), theta1 = 1.9, phi = 0.1,
  int = 0)

Arguments

w	rotor width [0.03, 0.09]m
r	rotor length [0.07, 0.12]m
t	tail length [0.07, 0.12]m
d	paper density [0.06, 0.12] kgm^-2
phi	standard deviation of response distribution

Details

The flight time is simulated from a normal distribution with mean derived from a dimensional analysis regression model and standard deviation phi.

Other parameters (theta0, theta1 and int) are regression parameters.

Value

Simulated helicopter flight time (seconds)

References

https://www.paperhelicopterexperiment.com

Box, G. E. P. and P. Y. T. Liu (1999). Statistics as a catalyst to learning by scientific method part I - an example. Journal of Quality Technology 31, 1–15.

Shen, W., T. Davis, D. K. J. Lin, and C. J. Nachtsheim (2014). Dimensional analysis and its applications in statistics. Journal of Quality Technology 46, 185–198.

Woods, D. C., Overstall, A. M., Adamou, M. and Waite, T. W. (2017). Bayesian design of experiments for generalised linear models and dimensional analysis with industrial and scientific application (with discussion). Quality Engineering, 29, 91-118.

Examples

x <- c(0.03, 0.12, 0.12, 0.06)
flighttime(w = x[, 1], r = x[, 2], t = x[, 3], d = x[, 4])

statsdavew/apts.doe documentation built on Sept. 4, 2019, 10:03 p.m.