This very thorough guide to analysing poetry gives a basic outline (below) and then detailed instructions for how to analyse each of the characteristics. It then goes on to describe in detail all poetic devices which you may want to consider in your analysis. It's very comprehensive, really a great resource!
Basic Analysis Guidelines
Title-- Ponder the title before reading the poem
List Words and Phrases-- List the important nouns, verbs, phrases, and clauses in separate columns.
Paraphrase-- Translate the poem into your own words.
Connotation-- Contemplate the poem for meaning beyond the literal.
Attitude--Observe both the speaker and the poet attitude (tone).
Shifts-- Note shifts in speaker and in attitudes.
Title-- Examine the title again, this time on an interpretive level.
Theme --Determine what the poet is saying.