Analysis
Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384–322 B.C.), though analysis as a formal concept is a relatively recent development.
Design
Design is the creation of a plan or convention for the construction of an object, system or measurable human interaction (as in architectural blueprints, engineering drawings, business processes, circuit diagrams, and sewing patterns). Design has different connotations in different fields (see design disciplines below). In some cases, the direct construction of an object (as in pottery, engineering, management, coding, and graphic design) is also considered to use design thinking.
Information
Information is any entity or form that provides the answer to a question of some kind or resolves uncertainty. It is thus related to data and knowledge, as data represents values attributed to parameters, and knowledge signifies understanding of real things or abstract concepts. As it regards data, the information's existence is not necessarily coupled to an observer (it exists beyond an event horizon, for example), while in the case of knowledge, the information requires a cognitive observer.
Design
One of the best ways to economize in building is to economize on ugliness. ...Nothing can be greater service in avoiding ugliness than a knowledge of the principles of design.
Ernest Flagg, Small Houses: Their Economic Design and Construction (1922)
Information
Data, seeming facts, apparent associations-these are not certain knowledge of something. They may be puzzles that can one day be explained; they may be trivia that need not be explained at all.
Kenneth Waltz, Theory of International Politics (1979), Ch. 1 : Laws and Theories
Analysis
The investigation of difficult things by the method of analysis ought ever to precede the method of composition.
Isaac Newton, reported in Austin Allibone ed. Prose Quotations from Socrates to Macaulay. (1903), p. 34