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How to graph the market year over year? for example Dow Jones Index
The graphing tools within Yahoo offer a decent level of adjustment. You can easily choose start and end years, and 2 or more symbols to compare.  I caution you. From Jan 1980 through Dec 2011, the S&P would have grown $1 to $29.02, (See Moneychimp) but, the index went up from 107.94 to 1257.60, growing a dollar to only $11.65. The index, and therefore the charts, do not include dividends. So long term analysis will yield false results if this isn't accounted for.  EDIT  - From the type of question this is, I'd suggest you might be interested in a book titled "Stock Market Logic." If memory serves me, it offered up patterns like you suggest, seasonal, relations to Presidential cycle, etc. I don't judge these approaches, I just recall this book exists from seeing it about 20 years back.