Quote from TraderZones:
fib levels are not more significant than any other level. Studies such as the following (attached):
"Our conclusion must be that there is no significant difference between the frequencies with which price and time ratios occur in cycles in the Dow Jones Industrial Average, and frequencies which we would expect to occur at random in such a time series. In our introduction, we noted that empirical evidence from academic studies suggests that not all of technical analysis can be dismissed prima facie. The evidence from this paper suggests that the idea that round fractions and Fibonacci ratios occur in the Dow can be dismissed."