The Leadoff would be a person who the rest of a team could get a really good read off of lane condition wise and was ultra consistent.

2 Place would be either a lefty with the same quality or a guy who was for lack of a better term the weak link.

3 Would be a guy who could make sure to put together a strong game and set things up for the anchor bowler. Also must be a good spare shooter.

4 The most consistent and talented player who could make shots under pressure and also read what the other guys are doing and make quick adjustments.

Just guessing with your numbers of 168, 182, 198, and 206 that would be.

1-182
2-168 (weak Link)
3-198
4-206 (anchor)

For a 5 man team:
1-2-3 Same as above
4 would be the second strongest bowler and a bowler who could really put up some numbers. Great spare shooter an and clutch bowler for the 9th frame.

5 The most consistent and talented player who could make shots under pressure and also read what the other guys are doing and make quick adjustments.

Aloarjr810 pretty much nailed it. Only thing I would add is sometimes I like having the most charismatic guy at lead off to pump up the team but he should definitely be a person you can get a good read off as well.

I think that the last two bowlers should be the ones that handle pressure best. Often, the game comes down to the last two frames. Your three bowler needs to be able to handle having to make the shots when needed to give the anchor a chance.

I have had the discussion with others as far as the anchor. Mostly I always hear the highest average should be the anchor, but I always say they may not be the best under pressure. Last year we had a guy on the team who carried about 15-20 sticks above the rest of us, but he bowled better as leadoff than anchor.

Honestly I don't think it matters too much if you are not moving pairs.  Just put the guy most likely to throw a quality shot to win anchor.