Estimating changes in standard deviation when changing limits

[rmr1976]

I was thinking about bankroll issues after reading the following post:

http://forumserver.twoplustwo.com/showthreaded.php?Cat=&Number=1671890&page=0&view=c ollapsed&sb=5&o=14&fpart=1

Suppose you have enough data to convince yourself that poker is a +EV game for you. You want to move up in limits, where the bet sizes are twice the size of what your normal game is. (ie. you move from micro games of .5/1 to 1/2).

Is it proper to assume your win rate will double, as well as your variance? How do you know that your standard deviation won't increase at a greater rate than your expectation?

[That guy]

In 'Poker Essays 2', Mason says to expect your win rate to go down and you variance to go up when you jump levels. Win rate goes down because players make a few less mistakes. Variance goes up because opponents are more aggressive.