Description Usage Arguments Details Value Note References See Also Examples
CRM()
is used to fit a linear regression model based on the Center and Range Method(Lima Neto and De Carvalho, 2008)
1 |
formula |
an object of class |
data |
an data frame containing the variables in the model. |
The basic idea is to estimate models independently for each of center points and range points of the interval variables. The coefficients of the model are estimated by least square method.
coefficients.Center |
Coefficients for the Center variable. |
coefficeints.Range |
Coefficients for the Range variable. |
fitted.values |
The fitted values for the lower and upper interval bound. |
residuals |
The residuals for the lower and upper interval bound. |
In dataset, a pair of the interval variables should always be composed in order from lower to upper bound. In order to apply this function, the data should be composed as follows:
y_L | y_U | x1_L | x1_U | x2_L | x2_U |
y_L1 | y_U1 | x_L11 | x_U11 | x_L12 | x_U12 |
y_L2 | y_U2 | x_L21 | x_U21 | x_L22 | x_U22 |
y_L3 | y_U3 | x_L31 | x_U31 | x_L32 | x_U32 |
y_L4 | y_U4 | x_L41 | x_U41 | x_L42 | x_U42 |
y_L5 | y_U5 | x_L51 | x_U51 | x_L52 | x_U52 |
The upper limit value of the variable should be unconditionally greater than the lower limit value. Otherwise, it will be output as NA
or NAN
, and the value can not be generated.
Billard, L. and Diday, E.(2000), Regression analysis for interval-valued data. Data Analysis, Classification, and Related Methods. Springer-Verlag, Berlin, 369-374
Lima Neto, E.A. and De Carvalho, F.A.T(2008), Centre and range method to fitting a linear regression model on symbolic interval data. Computational Statistics and Data Analysis, 52, 1500-1515
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