First you need to find proxies for IT and SI. These will be representative of each IT and SI. Your choice could depend on availability of data as well as previous research among other factors.

Once you have your variables, you can conduct all kinds of association analyses including but not limited to pair-wise correlation, scatterplots, regression, etc.

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Hello, you may start by studying some graph theory, to model relations among objects.

First you need to find proxies for IT and SI. These will be representative of each IT and SI. Your choice could depend on availability of data as well as previous research among other factors.

Once you have your variables, you can conduct all kinds of association analyses including but not limited to pair-wise correlation, scatterplots, regression, etc.

Your question is broad. What are you trying to discover or demonstrate?

On a quantitative aspect I'd agree with "Faye Anderson", it might be possible to get a lot of insights from data mining. Another alternative would be a "case study" on people with recognized social intelligence before IT and after IT event.

How can I analysis relation between Social Intelligence and Information Technology?

Social Intelligence can be simply defined as one’s ability to get along well or cooperate with others.  Information technology (IT) is the use of computers and computer infrastructure to create all forms of processes.

Simply put you want to determine if ability to get along well or cooperate with others is related to the use of computers.  Or if the use of computers is related to one’s ability to get along well or cooperate with others. Your analysis can be handled from a quantitative point of view or qualitative. I will suggest you chose a quantitative analysis because you are studying relationship between SI and IT.

Having said that, I will like to add that quantitative analysis demands that you have quantifiable or measurable variables that can measure the phenomenon (SI and IT).

For instance, a number of variables may be used to measure SI (ability to get along with other. These variables may appear in the form of short likert questions. With this likert framed variable questions, a unique score will be assigned to participants that uniquely measures and quantifies their ability to get along well with others (SI) and their use of computers to create process, store, secure and exchange all forms of electronic data (IT). This can be achieved using appropriate likert questions designed to measure participants’ SI and IT scores.

This approach, for instance may assign participant 1 a pair of SI1 and IA1 scores, participant 2, a pair of SI2 and IA2 scores, participant 3, a pair of SI3 and IA3 scores, and so on.

With these paired scores, statistical tests such as correlation and regression can be administered to measure the required relationship and the degree of relationship.

The IT Technology is a backbone of information flow and processing. However, the ultimate source of knowledge are people/experts/scholars and learning is available to everyone regardless of their background, location, etc. All what is necessary is to bring the Internet high bandwidth connection to far remote places such as Islands in the region of South Pacific, Latin America, Africa, etc. The concept o social could be measured in different ways according to the geography of social groups who may have less privileges that other social groups.   

Basic: systems manage symbolic surrogates representing actual objects and activities relevant for the business under consideration. That has nothing to do with technology, from clay tablets to flash memory.

https://caminao.wordpress.com/what-who-how-when-where/what-is-to-be-represented/knowledge-architecture/

Social Intelligence: the objective is to steer knowledge workflows across a two-tiered collaboration framework: one personal and direct between knowledge workers, the other social and mediated through enterprise or institutional networks.

On the first tier knowledge workers would manage their thinking flows (content and tempo) independently, initiating or accepting personal collaboration (either through physical contact or some kind of instant messaging) depending on their respective “state of mind”.

The second tier would be for social collaboration and would be expected to replace backlogs and time-boxing. Proceeding from the first to the second tier would be conditioned by workers’ needs and expectations, triggered on their own initiative or following prompts.

https://caminao.wordpress.com/2016/02/22/breathing-brains/