During this work , an interacting chameleon like scalar field scenario , by considering SNeIa , CMB , BAO and OHD data sets is investigated .
In fact , the investigation is realized by introducing an ansatz for the effective dark energy 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 is realized that , to estimate the free parameters of a theoretical model , by regarding the systematic errors it better the whole of the above observational data sets to be considered .
In fact , if one considers SNeIa , CMB and BAO but disregards OHD it maybe leads to different results .
Also to get a better overlap between the counters with the constraint \chi _ { m } ^ { 2 } \leq 1 , the \chi _ { T } ^ { 2 } function could be re-weighted .
The relative probability functions are plotted for marginalized likelihood \mathcal { L } ( \Omega _ { m 0 } , \omega _ { 1 } , \beta ) according to two dimensional confidence levels 68.3 \% , 90 \% and 95.4 \% .
Meanwhile , the value of free parameters which maximize the marginalized likelihoods using above confidence levels are obtained .
In addition , based on these calculations the minimum value of \chi ^ { 2 } based on free parameters of an ansatz for the effective dark energy equation of state are achieved . \PACS 98.80.-k98.80.Es 95.36.+x