Constraints on Power Law and Exponential models in $f(Q)$ Gravity

In this paper, we observationally test the $f(Q)$ gravity model at both background and perturbation levels using Pantheon${}^{+}$, Hubble measurements, and Redshift Space Distortion Data. We obtain the best-fit parameters by solving numerically the modified Friedmann equations for two distinct cosmological models of $f(Q)$ gravity namely the Power law and Exponential models. This involves performing a Markov Chain Monte Carlo analysis for these specific forms of $f(Q)$. To evaluate the statistical significance of the $f(Q)$ gravity models, we use the Bayesian and corrected Akaike Information Criteria. Our results indicate that the Exponential model in $f(Q)$ gravity is statistically favored over both the Power-law model and the $\mathrm{\Lambda }$CDM model.