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This dataset estimates the site spectral decay parameter κ₀ using both displacement and acceleration Fourier amplitude spectra (FAS) from earthquakes recorded in West Texas. The displacement-based analysis processes 1,101 records from 224 events recorded at 27 stations, with magnitudes between 1.5 and 2.0 and hypocentral distances up to 50 km. Site-specific κ₀ values are computed by performing linear regression on the low-frequency portion of the displacement FAS. In addition, this dataset processes acceleration FAS from a subset of a previously published ground motion dataset (https://doi.org/10.17603/ds2-s7sx-7z83), which originally contains 6,479 records from 354 events recorded at 49 stations, spanning moderate-magnitude earthquakes (M ≥ 3.0) with hypocentral distances up to 300 km. For the acceleration-based analysis presented here, only records with hypocentral distances ≤ 50 km are used, consistent with the distance criteria applied to the displacement-based dataset, resulting in a reduced dataset of 2,677 records from 353 events recorded at 25 stations. Site-specific κ₀ values are computed by performing linear regression on the high-frequency portion of the acceleration FAS. In addition, site-specific κ₀ values derived from stochastic inversions of the acceleration FAS (Pandel et al. 2025, https://doi.org/10.1785/0120250078) are also provided. The raw acceleration waveforms and full inversion inputs and outputs are hosted under the previously published dataset and are not duplicated here due to size and redundancy. Instead, this dataset includes compiled and derived products generated from the acceleration FAS, including slope-based κ₀ estimates and associated metadata, enabling direct comparison with the displacement-based results and stochastic inversion results. Together, the displacement- and acceleration-derived κ₀ estimates support evaluation of frequency-dependent site attenuation across magnitude ranges, improving ground-motion characterization and seismic hazard assessment in regions affected by induced seismicity. These results provide insight into site response behavior relevant to engineering design and seismic risk analysis, and a better understanding of how κ₀ estimates vary based on the approach used to compute it. The primary audience includes seismologists, earthquake engineers, geophysicists, and hazard modelers studying site response and spectral decay.