title: Breakpoints and F statistics in strucchange package
body: <p>As far as I know the breakpoint should correspond to the observation which maximizes the F statistics, but I can't see any meaningful association between the F statistics and the timing of the break. What do I get wrong?</p>
  
  <pre><code>y &lt;- c(rnorm(30), 2+rnorm(20))  # 1 breakpoint
  f &lt;- Fstats(y ~ 1)               # calculate F statistics
  f$breakpoint                     # breakpoint Fstats suggests
  which(f$Fstats == max(f$Fstats)) # observation with max F statistics
  order(f$Fstats)                  # observations ordered by F statistics
  </code></pre>
  
  <p>As can be seen the observation of the breakpoint is not the observation with the highest F statistics.</p>