by StaceyKoprince Thu May 01, 2008 1:15 am
I can answer most of your questions with what we know via lots of research, but most of that info is not released by GMAC.
It does appear to be the case that the verbal score factors more heavily into your overall score. GMAC has not officially confirmed this but this can be seen if you examine a lot of records - and we've done this with our students' records.
The correct/incorrect numbers you report have very little to do with the score calculation - either on our test or on the official test. In other words, don't use those numbers to assess anything and don't look for much correlation there between higher and lower scores and higher and lower #s of problems right.
Most people will get roughly half the questions right and roughly half wrong, though this starts to skew a bit at very high and low levels, as you can see from your 93rd percentile verbal score. You also see, though, that you still get a large number of questions wrong regardless of your scoring level. The single largest factor contributing to your score is the difficulty level of the questions you're answering. People at the 25th percentile can get just as many questions right as people at the 75th percentile.
The algorithm does not SOLELY depend upon difficulty level as the determining factor for the next score. The algorithm also has to give you a certain mix of different question types (eg, DS and PS), different content areas (eg, geometry vs. algebra) and even different content sub-areas (eg, circles vs. triangles). And, on the real test, the algorithm will also give you about 10 experimental questions, which are not tied to your performance at all. As such, it is not necessarily the case that the difficulty level will strictly go up or down depending upon whether you got the previous question right or wrong, respectively.
Also, although your assessment reports only show you 100-point ranges for those questions, the difficulty ratings are actually much more granular than that. So the 600-700 level question you had might have been rated a 610 and the 500-600 level question might have been rated a 590. Those are within one standard deviation of each other, so statistically speaking, we can't say that the 590 is easier than the 610. Essentially, after you got that 600-700 level question right, the algorithm looked for another question within a range of difficulty levels around where you were currently scoring that also met some of the other parameters it needed to hit (in terms of question type and content area) - and that 500-600 level question came up.
I'm probably getting into more detail than you want to know. Suffice to say the algorith is VERY complex. :)
Oh, and I can't actually say anything about Kaplan's algorithm because I have no idea how they make it! I only know ours and the official one.
Stacey Koprince
Instructor
Director, Content & Curriculum
ManhattanPrep