Effect of base doping on early voltage,base transport factor and emitter injection efficiency?
First of all you have a typing error in your analysis,
"According to me as base doping increases ..."
Here, it should be decreases and rest are fine;  

And yes your conclusion is right ,
i.e,
$$ \text{as } \quad  N_B \downarrow \quad \to \quad \gamma \text{ (Emitter Injection Efficiency) } \uparrow  \quad, \quad \beta^{*} \,\, \uparrow \,\,\&amp; \,\,|V_A| \,\,\downarrow $$