var_exp {dCUR}

var_exp

Description

var_exp is used to compute the proportion of the fraction of variance explained by a principal component analysis.

Usage

var_exp(data, standardize = FALSE, ...)

Arguments

data

a data frame that contains the variables to be used in CUR decomposition.

standardize

logical. If TRUE rescale an original data frame to have a mean of zero and a standard deviation of one.

...

Additional arguments to be passed to dplyr::select

Details

The objective of CUR decomposition is to find the most relevant variables and observations within a data matrix and to reduce the dimensionality. It is well known that as more columns (variables) and rows are selected, the relative error will be lower; however, this is not true for k (number of components to calculate leverages). Given the above, this function seeks to find the best-balanced scenario of k, the number of relevant columns, and rows that have an error very close to the minimum, and that, in turn, uses a smaller amount of information.

Value

var_exp

a data frame with the proportion of explained variance for each principal component.

Author(s)

Cesar Gamboa-Sanabria, Stefany Matarrita-Munoz, Katherine Barquero-Mejias, Greibin Villegas-Barahona, Mercedes Sanchez-Barba and Maria Purificacion Galindo-Villardon.

References

Mahoney MW, Drineas P (2009). “CUR matrix decompositions for improved data analysis.” Proceedings of the National Academy of Sciences, 106(3), 697–702. ISSN 0027-8424, doi:10.1073/pnas.0803205106. Villegas G, others (2018). “Modelo estadistico pedagogico para la toma de decisiones administrativas y academicas con impacto en el mejoramiento continuo del rendimiento de los estudiantes universitarios, basado en los metodos de seleccion CUR.” doi:10.14201/gredos.139405. Villegas G, Martin-Barreiro C, Gonzalez-Garcia N, Hernandez-Gonzalez S, Sanchez-Barba M, Galindo-Villardon M (2019). “Dynamic CUR, an alternative to variable selection in CUR decomposition.” Revistas Investigacion Operacional, 40(3), 391–399.

See Also

dCUR CUR

Examples

var_exp(AASP, standardize = TRUE, hoessem:notabachillerato)