Nursing home, assisted living and adult day health care costs rose faster in the Sacramento region than they did nationwide over the last year, but the cost of home health aides stayed the same.

The national average for private room nursing home rates rose 4.4 percent to $239 per day in 2011 — or $87,235 annually — according to a new market survey released Tuesday by MetLife. Private room rates in assisted living centers rose 5.6 percent, to $41,724 annually.

Meanwhile, the average private room nursing home rate in the Sacramento region — defined as “rest of the state” outside Los Angeles, San Diego and San Francisco — rose 6.7 percent, to $272 per day or $99,280 annually. Rates rose 3.7 percent, to 48,720 annually for private rooms in assisted living centers in the Sacramento region.

Costs for home health aides remained unchanged at $21 an hour in Sacramento and statewide.

Adult day health care services rose 4.5 percent statewide, to $70 per day. In Sacramento, they rose 5.5 percent to $77 per day.

The highest average nursing home rates were in Alaska, even though rates dropped slightly, to $655 per day for a private room in 2011, compared to $687 per day in 2010.

The lowest was in the Baton Rouge and Shreveport metropolitan area in Louisiana, where nursing homes cost an average of $141 per day for a private room.

“Long-term care rates continue to outpace the medical inflation rate,” Sandra Timmermann, director of the MetLife Mature Market Institute, said in a news release. “As the cost of care continues to rise, Americans need to discuss long-term care planning with their families now, to ensure they receive the kind of care they want in the future, This is especially critical at a time when retirement savings rates are low.”