INDIANAPOLIS — Health care costs have more than doubled for some American families over the past nine years, and they show few signs of dropping, according to a report released Wednesday by the actuarial consulting firm Milliman Inc.

The employee portion of costs paid for a family of four covered by the most common form of employer-sponsored health insurance will climb to a projected $8,008 this year from $3,634 in 2002. That amounts to an additional $84 a week from household budgets for health care.

Preferred provider organization plans are the most common form of employer-sponsored coverage.

The rise in health care costs is slower in 2011 compared to recent years, but they are still rising much higher than costs in other consumer areas, said consulting actuary Lorraine Mayne, one of the report’s authors.

‘We don’t see anything on the near-term horizon that’s going to bend that downward,