## Estimate of Hoeflin Power Test Norms

by Garth Zietsman
Published with permission from the author

In order to estimate Power Test norms I calculated the curve relating the probability of passing any included item to IQ. I relied on logistic regression for this purpose using the item information available for the Mega and Titan Tests. Using these curves I calculated the expected raw scores of the 29 combined Mega and Titan items in the Power Test for all IQ points between 120 and 200. Next I made the assumption that the 7 Ultra Test items included in the Power Test will behave quite similarly to the Mega and Titan items and that they would have the same average difficulty levels. If these assumptions are acceptable then the full raw score out of 36 (for any IQ) can be estimated directly from the equivalent 29 Mega plus Titan item raw scores by multiplying by the constant 36/29. In the Table below are the estimated IQs associated with Power Test raw scores. The equivalent cut-offs for various high IQ societies would be:

 Mensa, Camelopard 4 TOPS, Intertel 6 OATH, TNS, ISPE, Iquadrivium, Glia 16 Prometheus 26 Mega 32 Giga 36

When you consider that on this test the average Doctor, Engineer, MBA or CEO would barely make 2, the average professional mathematician, physics PhD from MIT or Phi Beta Kappa would average around 9 or 10 and that the average science Nobel Prize winner would barely get 50% (18 or 19) you realize that this is one tough test.

### Power Test Norms

 Raw Score IQ Raw Score IQ 0 121 or lower 19 155 1 125 20 156 2 129 21 157 3 131 22 158 4 134 23 160 5 136 24 161 6 138 25 163 7 140 26 164 8 141 27 166 9 143 28 168 10 144 29 170 11 145 30 172 12 146 31 174 13 148 32 177 14 149 33 181 15 150 34 185 16 151 35 191 17 152 36 197 or higher 18 154