ooo 9 games and 108 attacks! There are people around here who have logged several ten thousand dice throws, THAT's what I call "long run".
They do it with this little tool, the official CC dice analyzer!
http://www.conquerclub.com/forum/viewtopic.php?t=5655
It shows the values that one should expect to get statistically and compares them to what one is actually getting. Very handy for people who think the dice hate them.
And I still don't see why you think the dice are biased towards the defender, your calculation is inherently flawed, for one you counted 108 armies too many as "lost". I know you have to leave one army on every territory you own, but those armies are not lost in the attack, they remain on the board.
Also according to the way you calculated it you lost 1.86111 armies/territory taken, not 1.64574, get your own math right first, ok?
As for arguments, do the math yourself, how are the odds for 3 dice winning against 2? There are only 6^3 possibilities for the attacker and 6^2 possibilities for the defender. Makes a total of 7776 combinations. Happy counting, unless you're in tenth grade or so and are doing statistics, then you'll probably be able to think of an easier way to that calculation.
However, I will pick you up on your own numbers, and remember, you counted 108 armies too many as lost, your real losses are only 93 armies.
I assume that you've been counting attacks against countries with 1 army on them and that you attacked with 3 armies every time. If you have also counted attacks against 2 or more armies or attacks with only 1 or 2 you should be happy with the number's you've got.
So let's see. The chances for winning a 3 vs 1 throw are 95/144 or 65.97222%.
Then we have your 108 attacks, 93 lost. The expected amount of armies lost in 108 attacks with 3 against single defenders is 71.25, your value deviates by almost 31% from the "ideal" value. Initially this seems like much BUT 108 dice throws is almost nothing considering that there are 6^3 * 6 possible outcomes. 216 combinations for the attacker and 6 for the defender, in all 1296 possible combinations for the dice to fall. Say that number out loud: onethousandtwohundredninetysix. You've evaluated 108 throws. Not even 10% of the amount of possible combinations. Do you really suppose you can build a case on that? I think not.
Get the dice analyzer and play anoth 10 games where you log ALL your throws, then we can talk again.