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# Proportional difference Watch

1. Okay perhaps more suitable for the careers forum, but been sitting a few aptitude tests for grad schemes and had a really simple basic question that stumped me. The question presents a table with statistics between 2 groups for several categories i.e.:

.........Group A, Group B
Cat 1: 5%, 10%
Cat 2: 17%, 12%
Cat 3: 10%, 20%
Cat 4: 1%, 2%
... etc with additional categories to total 100% total for each sample
(Total sample A say 500, Total sample B say 700)

The question then asks for the "smallest proportional difference between any 2 categories". So you find the absolute difference between A and B for each category, but then do you divide them by the largest of the 2 (to get the smaller proportion) or does it have to be consistent through out i.e. relative to an arbitrary but consistent A/B down all categories? So Cat3 and Cat4 would give the same answer as they are the same percentage ratio. Thanks.
2. nobody?
3. I just wanted to bump this thread since I saw the exact same question on a numerical test for a bank and was also uncertain about what it meant.
5. I think I understand now. Proportional difference simply means the ratio.

http://journal.sjdm.org/8827/jdm8827.html

To begin with, a logarithmic transformation means that the perceptual difference between two numbers will depend on their proportional difference and not their subtractive difference. For example, imagine that Person A’s representation depends on a natural-log (base e) transformation. A proportional difference of two (100 compared to 50 or 10 compared to 5) would engender a perceived difference of .693 (ln(2x)-ln(x) = .693 for all x; Table 1). The subjective difference between 100 and 50 would then be the same as that between 800 and 400 or 12 and 6. Barring any influence from other processes, this means that an individual who preferred a 60% chance to win \$100 over a certain \$50 will also tend to prefer a 60% chance to win \$800 over \$400 and 60% to win \$12 over \$6.
6. why doesnt the person negging me show themseles

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Updated: January 15, 2013
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