  This manuscript presents a diagnostic analysis of three dark energy models
resulting from the parametrization of the deceleration parameter. These models
exhibit intriguing features, including late-time acceleration and a
cosmological phase transition from early deceleration to late acceleration. The
analysis utilizes parametrizations of the deceleration parameter, $q(z)$, and
employs Cosmic Chronometers (CC), Type Ia supernovae (SNIa), Gamma Ray Bursts
(GRB), Quasar (Q) and Baryon Acoustic Oscillations (BAO) datasets to constrain
the models and determine the best-fitting values of the model parameters.
Additionally, the evolution of kinematic cosmographic parameters is
investigated. The study focuses on discussing the statefinder and Om diagnostic
analyses of the considered models, comparing them with the well-established
$\Lambda$CDM and SCDM models. By utilizing information criteria, the viability
of the models is examined, assessing their goodness of fit and their ability to
explain the observed data. The results provide valuable insights into the
behavior and characteristics of the dark energy models. The comparison with the
standard models sheds light on the similarities and differences, while the
information criteria analysis offers a quantitative assessment of their
suitability. This analysis contributes to our understanding of the dynamics and
evolution of the universe, furthering our knowledge of dark energy and its role
in shaping the cosmos.
