The Collaborative International Dictionary of English v.0.48:

Analyze \An"a*lyze\, v. t. [imp. & p. p. Analyzed; p. pr. &
   vb. n. Analyzing.] [Cf. F. analyser. See Analysis.]
   1. To subject to analysis; to resolve (anything complex) into
      its elements; to separate into the constituent parts, for
      the purpose of an examination of each separately; to
      examine in such a manner as to ascertain the elements or
      nature of the thing examined; to consider in detail in
      order to discover essential features or meaning; as, to
      analyze an action to ascertain its morality; to analyse a
      sonnet by Shakespeare; to analyse the evidence in a
      criminal trial; to analyse your real motives.

   Syn: analyze, study, examine
        [1913 Webster + WordNet 1.5]

              No one, I presume, can analyze the sensations of
              pleasure or pain.                   --Darwin.
        [1913 Webster]

   2. make a mathematical, chemical, or grammatical analysis of;
      break down into components or essential features; as, to
      analyse a specimen; to analyze a fossil substance; to
      analyze a sentence or a word; to analyse a chemical
      compound.

   Syn: analyze, break down, dissect, take apart.
        [WordNet 1.5]

   3. subject to psychoanalytic treatment. I was analysed in
      Vienna by a famous psychiatrist

   Syn: analyze, psychoanalyze, psychoanalyse.
        [WordNet 1.5]

WordNet (r) 3.0 (2006):

analyze
    v 1: consider in detail and subject to an analysis in order to
         discover essential features or meaning; "analyze a sonnet
         by Shakespeare"; "analyze the evidence in a criminal
         trial"; "analyze your real motives" [syn: analyze,
         analyse, study, examine, canvass, canvas]
    2: make a mathematical, chemical, or grammatical analysis of;
       break down into components or essential features; "analyze a
       specimen"; "analyze a sentence"; "analyze a chemical
       compound" [syn: analyze, analyse, break down,
       dissect, take apart] [ant: synthesise, synthesize]
    3: break down into components or essential features; "analyze
       today's financial market" [syn: analyze, analyse]
    4: subject to psychoanalytic treatment; "I was analyzed in
       Vienna by a famous psychiatrist" [syn: analyze, analyse,
       psychoanalyze, psychoanalyse]

Moby Thesaurus II by Grady Ward, 1.0:

141 Moby Thesaurus words for "analyze":
   air, alphabetize, anatomize, apply reason, arrange, assay, assort,
   atomize, bracket, break down, break up, canvass, catalog,
   categorize, change, chop logic, class, classify, codify,
   comment upon, conjugate, consider, contradistinguish, controvert,
   deal with, debate, decline, decompose, deduce, deliberate,
   deliberate upon, demarcate, demark, desynonymize, difference,
   differentiate, digest, discourse about, discriminate, discuss,
   disequalize, disjoin, dissect, distinguish, diversify, divide,
   draw the line, examine, exchange views, file, generalize, go into,
   grade, group, handle, hyphenate, hypothesize, index, individualize,
   individuate, infer, inflect, inspect, intellectualize, investigate,
   knock around, list, logicalize, logicize, make a distinction, mark,
   mark off, mark out, mark the interface, modify, order,
   parenthesize, parse, part, particularize, pass under review,
   personalize, philosophize, pick out, pigeonhole, place, point,
   provide a rationale, punctuate, range, rank, rap, rate,
   rationalize, reason, reason about, reason the point, reduce,
   reduce to elements, refine a distinction, resolve, review, screen,
   screen out, scrutinize, segment, segregate, select, separate,
   set a limit, set apart, set off, sever, severalize, sieve,
   sieve out, sift, sift out, sort, sort out, specialize, split hairs,
   study, subdivide, subtilize, syllogize, synthesize, tabulate,
   take up, talk, talk about, talk of, talk over, theorize,
   thresh out, treat, type, use reason, vary, ventilate, winnow