You have certainly broached up a very interesting issue. In conducting research on tweets, you need to delimit the large number of messages published on specific topics on a daily basis; you need to choose the ones that are relevant to your topic.As such, you should select a linguistic and/or psychological model in order to sensitize your targeted messages to the model hence reducing the bulk of irrelevant information by increasing the search functionality. In other words, by tacking the problem based on a given linguistic aspect such as a particular part-of-speech, syntactic and semantic information, you can decide on language processing techniques for analyzing the informal style used in the writing of Twitter messages. For more information, the following links can hopefully provide you with the targeted literature.
If you want to analyze tweets psychologically, you can determine which psychological aspects you want to study then collect the tweets on that topic and analyze them quantitatively. If you want to study tweets linguistically, you can collect samples of tweets and make stylistic analysis to them .
Hello, thank you very very much. I will read the given literature and get into the topic more and more. Hope it is ok if i get back to you professionals if i have more questions on this topic. Best and thank you again. Christopher