lorentz: Analysis: Lorentz

In AgroReg: Regression Analysis Linear and Nonlinear for Agriculture

Analysis: Lorentz

Description

Analysis: Lorentz

Usage

lorentz(
  trat,
  resp,
  npar = "lo3",
  sample.curve = 1000,
  ylab = "Dependent",
  xlab = "Independent",
  theme = theme_classic(),
  error = "SE",
  legend.position = "top",
  r2 = "all",
  point = "all",
  width.bar = NA,
  scale = "none",
  textsize = 12,
  pointsize = 4.5,
  linesize = 0.8,
  linetype = 1,
  pointshape = 21,
  fillshape = "gray",
  colorline = "black",
  round = NA,
  xname.formula = "x",
  yname.formula = "y",
  comment = NA,
  fontfamily = "sans"
)

Arguments

trat	Numeric vector with dependent variable.
resp	Numeric vector with independent variable.
npar	number of parameters (lo3 or lo4)
sample.curve	Provide the number of observations to simulate curvature (default is 1000)
ylab	Variable response name (Accepts the expression() function)
xlab	treatments name (Accepts the expression() function)
theme	ggplot2 theme (default is theme_classic())
error	Error bar (It can be SE - default, SD or FALSE)
legend.position	legend position (default is "top")
r2	coefficient of determination of the mean or all values (default is all)
point	defines whether you want to plot all points ("all") or only the mean ("mean")
width.bar	Bar width
scale	Sets x scale (default is none, can be "log")
textsize	Font size
pointsize	shape size
linesize	line size
linetype	line type
pointshape	format point (default is 21)
fillshape	Fill shape
colorline	Color lines
round	round equation
xname.formula	Name of x in the equation
yname.formula	Name of y in the equation
comment	Add text after equation
fontfamily	Font family

Details

The model to the three-parameter Lorentz is:

y = frac{d}{1+b(x-e)^2}

The model to the three-parameter Lorentz is:

y = c+frac{d-c}{1+b(x-e)^2}

Value

The function returns a list containing the coefficients and their respective values of p; statistical parameters such as AIC, BIC, pseudo-R2, RMSE (root mean square error); largest and smallest estimated value and the graph using ggplot2 with the equation automatically.

Author(s)

Model imported from the aomisc package (Onofri, 2020)

Gabriel Danilo Shimizu

References

Seber, G. A. F. and Wild, C. J (1989) Nonlinear Regression, New York: Wiley & Sons (p. 330).

Onofri A. (2020) The broken bridge between biologists and statisticians: a blog and R package, Statforbiology, IT, web: https://www.statforbiology.com

Examples

library(AgroReg)
data("granada")
attach(granada)
x=time[length(time):1]
lorentz(x,WL)

AgroReg documentation built on May 29, 2024, 9:13 a.m.