Short-duration noise transients in LIGO and Virgo detectors significantly affect the search sensitivity of compact binary coalescence (CBC) signals, especially in the high-mass region. In a previous work by the authors [P. Joshi et al., Phys. Rev. D 103, 044035 (2021)], a χ² statistic was proposed to distinguish them, when modeled as sine-Gaussians, from nonspinning CBCs. The present work is an extension where we demonstrate the better noise-discrimination of an improved χ² statistic---called the optimized sine-Gaussian χ²---in real LIGO data. The extension includes accounting for the initial phase of the noise transients and use of a well-informed choice of sine-Gaussian basis vectors selected to discern how CBC signals and some of the most worrisome noise transients project differently on them [S. Choudhary et al., Phys. Rev. D 107, 024030 (2023)]. To demonstrate this improvement, we use data with blip glitches from the third observational run (O3) of LIGO-Hanford and LIGO-Livingston detectors. Blips are a type of short-duration non-Gaussian noise disturbance known to adversely affect high-mass CBC searches. For CBCs, spin-aligned binary black hole signals were simulated using the imrphenompv2 waveform and injected into real LIGO data from the same run. We show that in comparison to the sine-Gaussian χ², the optimized sine-Gaussian χ² improves the overall true positive rate by around 6% in a lower-mass bin (m₁,m₂∈[20,40]M_) and by more than 3% in a higher-mass bin (m₁,m₂∈[60,80]M_). On the other hand, we see a larger improvement---of more than 20%---in both mass bins in comparison to the traditional χ².
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