LM23: Analysis: Cubic without beta1

In AgroReg: Regression Analysis Linear and Nonlinear for Agriculture

Analysis: Cubic without beta1

Description

Degree 3 polynomial model without the beta 1 coefficient.

Usage

LM23(
  trat,
  resp,
  sample.curve = 1000,
  ylab = "Dependent",
  error = "SE",
  xlab = "Independent",
  theme = theme_classic(),
  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.
sample.curve	Provide the number of observations to simulate curvature (default is 1000)
ylab	Dependent variable name (Accepts the expression() function)
error	Error bar (It can be SE - default, SD or FALSE)
xlab	Independent variable name (Accepts the expression() function)
theme	ggplot2 theme (default is theme_classic())
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

Degree 3 polynomial model without the beta 2 coefficient is defined by:

y = \beta_0 + \beta_2\cdot x^2 + \beta_3\cdot x^{3}

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)

Gabriel Danilo Shimizu

Leandro Simoes Azeredo Goncalves

Examples

library(AgroReg)
data("granada")
attach(granada)
LM23(time, WL)

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