Ph.D

Hello,
If you want to pursue M.Sc. or Ph.D, then you have a chance to do it from IITs.
To Pursue Ph.D. from IIT's or IISC, you have to take IIT-JAM entrance test.
IIT JAM is to take Admission in M. Sc. Or Ph.D. & other post graduate Exams.
By qualifying JAM test, Candidates can apply for:
1- M.Sc (Two-year)
2- Joint M.Sc and Ph.D.
3- M.Sc and Ph.D. Dual Degree
4- M.Sc - M.Tech.
5- Post – Bachelor's degree courses at different IITs
6- Integrated Ph.D courses at IISC
Visit here for JAM Preparation - https://goo.gl/VYbs2u

You are eligible for doing PhD without MPhil in majority of universities.
What sort of help are you looking at?

Visit university websites and decide the country of your choice first. For admissions into Ph.D you must check the department website and write to them for research availability, admission calls, funding and scholarship options etc. Develop research questions and prepare a research topic, you must share your ideas with the universities to be accepted. They will offer you a place if they like what you wrote. You must also check for additional requirements such as GRE, TOEFL and so on.

You should opt for the USA. If not, then UK and Singapore are good too. You may also look for Helsinki, Finland as they have the most rigorous and respected program.

You should acquire some work experience first.

As per your statement, you want to pursue Masters in psychology. You want to pursue Ph.D too. The eligibility criteria for Ph.D will depend on the specialization you opt for in Masters.
Try to get good grades if you have a dream to take admission in a reputed university.
All the best.

Hi Shahrukh,
You must check the websites and write to the departments of different universities to see if they are currently or will in future pursue research work in data analytics. Some of the universities you can consider are Carnegie Mellon, Cornell, Columbia University, MIT, NYU, UT Austin, Indiana University, University of Chicago, University of Waterloo, University of Toronto, University of British Columbia, and McGill University.