Sample-sample (SS) two-dimensional (213) correlation spectroscopy has been applied to polarization-angle-dependent infrared (IR) spectra of a surface-stabilized ferroelectric liquid crystal, FLC-3, and hybrid 2D correlation spectroscopy has been applied to its time-dependent and polarization-angle-dependent IR spectra to explore the switching dynamics of the FLC. A new multiparameter analysis method, parallel factor (PARAFAC), has also been used to analyze both the time-dependent and polarization-angle-dependent IR spectra. The synchronous and asynchronous SS hybrid 2D correlation spectra generated from the time-dependent spectra and the polarization-angle-dependent spectra of FLC-3 provide information about its dynamic behavior induced by the two independent perturbations, the polarization angle and delay time. Hybrid 2D correlation cannot be used for the prediction such as that of a change in the polarization angle with the delay time. In contrast, PARAFAC can predict effects of any level of the factors investigated as well as the multiplicative interactions between the different factors. Both hybrid 2D and PARAFAC are powerful to illustrate the relationship between the spectral changes caused by the two perturbations, the polarization angle and the delay time for FLC-3. Hybrid 2D and PARAFAC can supply important information about main effects and the additive effective, lower order interactions in a spectral decomposition. In this way the new spectral analysis methods yield more precise and deeper information about the dynamics of FLC-3 efficiently.