Computes a FANOVA model by a convenient metric
FANOVA.distance(
formula,
dataset,
data.fuzzified,
sig,
distance.type,
i = 1,
j = 1,
theta = 1/3,
thetas = 1,
p = 2,
q = 0.5,
breakpoints = 100
)Returns a list of all the arguments of the function, the total, treatment and residuals sums of squares, the coefficients of the model, the test statistics with the corresponding p-values, and the decision made.
a description of the model to be fitted.
the data frame containing all the variables of the model.
the fuzzified data set constructed by a call to the function FUZZ or the function GFUZZ, or a similar matrix.
a numerical value representing the significance level of the test.
type of distance chosen from the family of distances. The different choices are given by: "Rho1", "Rho2", "Bertoluzza", "Rhop", "Delta.pq", "Mid/Spr", "wabl", "DSGD", "DSGD.G", "GSGD".
parameter of the density function of the Beta distribution, fixed by default to i = 1.
parameter of the density function of the Beta distribution, fixed by default to j = 1.
a numerical value between 0 and 1, representing a weighting parameter. By default, theta is fixed to 1/3 referring to the Lebesgue space. This measure is used in the calculations of the following distances: d_Bertoluzza, d_mid/spr and d_phi-wabl/ldev/rdev.
a decimal value between 0 and 1, representing the weight given to the shape of the fuzzy number. By default, thetas is fixed to 1. This parameter is used in the calculations of the d_theta star and the d_GSGD distances.
a positive integer such that 1 \(\le\) p < infinity, referring to the parameter of the Rho_p and Delta_pq. By default, p is fixed to 2.
a decimal value between 0 and 1, referring to the parameter of the metric Delta_pq. By default, p is fixed to 0.5.
a positive arbitrary integer representing the number of breaks chosen to build the numerical alpha-cuts. It is fixed to 100 by default.