measure of parenting that is derived from two scales, one measuring warmth and the other measuring control. The scales are created by taking the mean of two set of items that are binary, coded yes/no.

One thought was to standardize the two scales (mean=0; std= 1) and then sum the two standardized scores together to generate a measure of parenting.

The problem is that both measures are highly skewed, the tails are to the left, and most of the points to the right. What implications does this have for standardizing. I realize that when I standardize then that doesn't change the skewness, each person will still be in the same relative position.

If my sample size is greater than 2000 does it matter what the distributions are? Can I approximate the normal distribution?

Any thoughts would be very much appreciated!!!