I looked at my dd's WJ-III test results yesterday when replying to somebody else's thread and something caught my eye.

I had not noticed that her total achievement is the lowest of all her composite scores.

Broad reading was 157 (scores range 153-159)
Broad Math was 144 (128-154 range)
Broad Written Language 149 (135-148)

Total achievement is 142. So while her reading/math are in the >99.9 and her math is 99.8, the broad ends up being 99.8 as well.

I have no concerns, just curiosity as to how the composite is calculated. It seems odd that it would be the lowest....

I finally understood that the full scale IQ can be higher than its parts because of the rarity of 2 or 3 high scores....

Is it not the case with achievement?