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During this work, an interacting chameleon like scalar field scenario, byconsidering SNeIa, CMB, BAO and OHD data sets is investigated. In fact, theinvestigation is realized by introducing an ansatz for the effective darkenergy equation of state, which mimics the behaviour of chameleon like models.Based on this assumption, some cosmological parameters including Hubble,deceleration and coincidence parameters in such mechanism are analysed. It isrealized that, to estimate the free parameters of a theoretical model, byregarding the systematic errors it better the whole of the above observationaldata sets to be considered. In fact, if one considers SNeIa, CMB and BAO butdisregards OHD it maybe leads to different results. Also to get a betteroverlap between the counters with the constraint $\chi _{\rm{m}}^2\leq 1$, the$\chi _{\rm{T}}^2$ function could be re-weighted. The relative probabilityfunctions are plotted for marginalized likelihood $\mathcal{L}(\Omega_{\rm{m0}} ,\omega_1, \beta)$ according to two dimensional confidencelevels $68.3\%$, $90\%$ and $95.4\%$. Meanwhile, the value of free parameterswhich maximize the marginalized likelihoods using above confidence levels areobtained. In addition, based on these calculations the minimum value of$\chi^2$ based on free parameters of an ansatz for the effective dark energyequation of state are achieved.

Interacting scalar tensor cosmology in light of SNeIa, CMB, BAO and OHD observational data sets