SLSE I Statistics Report

Jonathan Wai © October 2006

Strict Logic Sequences Examination-Form I was designed as a high level non-verbal test to investigate the high range of mental ability under non-timed testing conditions. The test requires simply the ability to do elementary operations on numbers, thus the need for crystallized knowledge is pretty much nil, and the test likely loads highly upon fluid g (and possibly also a numerical and/or spatial factor or even an "as yet undefined" creativity factor). As of the writing of this report, 169 individuals from around the world have attempted the test, and the top score remains 40 correct, achieved by a young mathematician and chess grandmaster from France.

Histogram of Scores

Histogram

The histogram above shows a fairly normal distribution of scores, centered around a score of about 23 correct. As of the last SLSE I norming, this score corresponds to a "theoretical IQ" of approximately 145 (SD = 16), or just under three standard deviations above the average IQ of 100. This is a very able population of test takers.

SLSE I Item Difficulty (Highest to Lowest)

Item Difficulty
12 0
17 0
38 0
47 0
26 .01
16 .01
19 .01
42 .02
5 .08
14 .09
35 .11
4 .17
18 .17
24 .18
32 .20
10 .22
37 .24
28 .28
50 .31
21 .32
39 .35
31 .41
29 .43
23 .49
22 .50
25 .51
30 .52
7 .54
27 .56
9 .56
40 .58
13 .62
33 .63
49 .64
1 .66
15 .66
48 .73
41 .78
3 .78
34 .80
46 .80
20 .83
45 .84
8 .85
43 .89
44 .90
11 .91
6 .92
36 .93
2 .93

Four items remain unsolved, and as there may be the possibility that these items should be removed from the test, the (probable) merger between SLSE Forms I and II will likely include only those items that have been solved by at least one person to this date (of course ranked in order of difficulty). Although this methodology may be premature, it will be the most conservative. Interesting to note is the fairly even gradations of item difficulty and fairly equivalent numbers of items at each difficulty band.

SLSE I Participant Country of Origin

Australia 1
Austria 1
Belgium 2
Brazil 3
Canada 2
Chile 1
China 1
Croatia 3
Denmark 1
France 14
Germany 23
Greece 10
Israel 4
Italy 3
Japan 4
Korea 2
Malta 1
Netherlands 2
Norway 2
Philippines 2
Poland 3
Singapore 1
Spain 4
Sweden 6
Switzerland 5
Taiwan 1
UK 2
USA 17
Unknown 48

The diversity of the test taking population is a testament to the unifying nature of SLSE I in that it can be solved by anyone who can count. Numbers (as demonstrated by this high level testing experiment) are indeed a universal language. It would of course be nice to have proportional numbers of test takers (in relation to the population of their country of origin), however that is something that we can look forward to for the future.

Correlations with Tests

N-VCPE-R 44 0.779**
The Rest 221 0.669**
  265  

**p<.01

In comparison to the previous norm, the correlations have risen slightly. This is logical considering the increase in sample size. Although there were smaller clusters of other tests subsumed in "the rest," overall an executive decision was made not to investigate these relationships as the small samples would have precluded much pertinent information to be uncovered. The rest included a variety of high range and standardized tests. Overall, what can be concluded is that SLSE-I likely measures general intelligence or g fairy well. What specific constructs it taps beyond g are difficult to determine, and as was speculated earlier, possibly what is also being measured is a numerical, spatial, or creativity factor (or a weighted combination of them). All 265 pairs were included in the standard norming procedure. After examining the data, the regression equation based on the N-VCPE-R score pairs was determined to be the norming method of choice.

Theoretical IQ = 112.49 + 1.55*(SLSE-I Raw Score)

SLSE Raw Theoretical IQ
1 114
5 120
10 128
15 136
20 143
25 151
30 159
35 167
40 175
45 182
50 190+

Concluding Thoughts

So what can we conclude based upon the current statistics? After reviewing the item analysis, theoretical IQ's above 180 can in theory be adequately measured. The next step may be to increase the ceiling of SLSE by combining forms I and II, thus providing the opportunity for the next test taking genius to come along and demonstrate their rarity, or at least their ability to creatively imagine. If you're an alien that can do simple math, then you've got a chance.