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MAF_multivariate

Maximum autocorrelation factors


Description

Dimension reduction via maximum autocorrelation factors

Usage

MAF_multivariate(data, threshold)

Arguments

data

A p by n data matrix, where p denotes the number of variables and n denotes the sample size

threshold

A threshold level for retaining the optimal number of factors

Value

MAF

Maximum autocorrelation factor scores

MAF_loading

Maximum autocorrelation factors

Z

Standardized original data

recon

Reconstruction via maximum autocorrelation factors

recon_err

Reconstruction errors between the standardized original data and reconstruction via maximum autocorrelation factors

ncomp_threshold

Number of maximum autocorrelation factors selected by explaining autocorrelation at and above a given level of threshold

ncomp_eigen_ratio

Number of maximum autocorrelation factors selected by eigenvalue ratio tests

Author(s)

Han Lin Shang

References

M. A. Haugen, B. Rajaratnam and P. Switzer (2015). Extracting common time trends from concurrent time series: Maximum autocorrelation factors with applications, arXiv paper https://arxiv.org/abs/1502.01073.

See Also

Examples

MAF_multivariate(data = pm_10_GR_sqrt$y, threshold = 0.85)

ftsa

Functional Time Series Analysis

v6.0
GPL-3
Authors
Rob Hyndman [aut] (<https://orcid.org/0000-0002-2140-5352>), Han Lin Shang [aut, cre, cph] (<https://orcid.org/0000-0003-1769-6430>)
Initial release
2020-11-29

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