helicopter {nlreg} | R Documentation |
Helicopter Data
Description
The helicopter
data frame has 9 rows and 6 columns.
Experimental design for studying the influences of the factors wing length and wing width on a paper helicopter's flight time. The goal is to find the factor setting that maximizes flight time when the paper helicopter is dropped from a fixed height of 15.5 feet
Usage
data(helicopter)
Format
A data frame with 9 observations on the following 6 variables:
L
-
wing length in inches;
W
-
wing width in inches;
B
-
base length (always set to 3in);
H
-
base height (always set to 2in);
Order
-
run order;
Time
-
flight time in seconds.
Source
The data were obtained from
Annis, D. H. (2006) Rethinking the paper helicopter: Combining statistical and engineering knowledge. The American Statistician, 59, 320–326.
References
Box, G. E. P. (1992) Teaching engineers experimental design with a paper helicopter. Quality Engineering, 4, 453–459.
Examples
data(helicopter)
##
## fit model (5) of Annis (2005)
## -----------------------------
heli <- helicopter
##
heli$LW <- heli$L * heli$W
heli$S <- heli$B * heli$H + ( 2 * heli$L + 1 ) * heli$W
heli$logTime <- log( heli$Time )
heli$Y <- heli$logTime + log( heli$S ) / 2
#
heli.nlreg <- nlreg( Y ~ b0 + b1 * log( b2^2 / LW + LW ), data = heli,
start = c( b0 = 6, b1 = -1, b2 = 20 ) )