When investing in REITs there are tax advantages in putting the investment in a retirement account. Is it better to put a REITs in a Traditional IRA or a Roth IRA considering overall growth and tax implications?
You should make the Traditional vs. Roth IRA decision before you think about which investments go in them. And before making that decision, make sure you can deduct Traditional IRA contributions by looking over the IRS guidelines. Basically, if you don't have a 401(k) or similar plan at work, or your income is low enough, you can deduct. If not, go with the Roth. If you could do either, the general rule is if you believe your income tax rate is higher now than it will be in retirement, use the Traditional IRA. If you believe your income tax rate will be higher in retirement than now (keeping in mind the possibility of future tax increases), use the Roth IRA. A rule of thumb, which I'm stealing from somebody, is if you're in the 15% federal bracket now, probably go with Roth, 28% go with Traditional, and 25% is a toss-up.
If you have cash sitting around in both a Traditional and Roth IRA and you are deciding which to invest in REITs with, that's a different question with a less clear-cut answer. This page seems to suggest that it's better to hold tax-inefficient investments like REITs in tax-deferred (i.e. Traditional IRA) over tax-free (i.e. Roth IRA) accounts, although I can't get a decisive answer on why that is, if it really is the case. They are probably about equivalent.
You should invest in BOTH --- reason is you can control your income when you retire. You take money out just enough from the standard IRA so you stay in the lowest tax bracket. Any additional money you need after that then comes out of the ROTH acct. You get the tax savings now and keep your taxes low when retired