This statistical experiment shows there is an un even win loss distribution between the factions. In an RTS balance being achieved can be measured in how close the win loss ratios are to each other or number of wins in a given sample. In this case the numbers show a correlation between axis and higher wins/ win loss ratio in higher player count game modes. The numbers are also pointing that in a 1v1 situation the game appears to be balanced. A statistical representation in this case has no way of proving why something is the case, that would revolve around unit statistics and end game stats, but this is a good way of proving there is a problem.
The sample is games from the top 200 players of each faction, they have a good representation of how the game is supposed to work with out as many learn to play issues as lower ranked players. This means the statistics can be trusted as a reasonable example of the state of the game. He could of done a pure random sample, but then you could have very skewed results from the majority of players playing casual and suffering from player issues rather than balance. Not that balance isn't affecting them, but lower level players run into issues of loosing units to multi tasking rather than something being over powered.
Sorry but no.
All this statistics does is show the win ratio for all factions and that's it. You can't read game balance from these statistics due to the fact that although the size of the samples is equal, you can't guarantee that quality of these samples is equal as well. Top 200 of OKW players maybe be slightly more skilled than first 200 of USF players. What's more you can't even provide that each match will be against equally skilled opponents all the time because auto match will expand its brackets when no suitable opponent is found within specific period of time. I fought against JellyDOnut once and I don't have to tell you how this game ended due to skill level difference between us. It is quite common to get lower skilled opponent in a match up and it's quite common that your opponent will be much more skilled. The number of equal games I had is quite low. I am pretty sure it's the same when you're top 200. Maybe you get less skilled opponents more often because 200 players that's not that high number and they won't be able to play any games at all if match making only paired them against other top 200 player every time.
Also you can't guarantee that none of this data wasn't affected by balance differences, for examples maybe OKW win ratio would have been much lower if it wasn't for over performing Obersoldaten or Kubel Wagon, etc.
What we have here is a classic example of interpretation of the data to suit your need. First thing they are going to warn you against on every Statistics lecture.
Edit:
One more thing. Test sample is not even big enough to safely draw any conclusions.
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