Zodiac Statistics Report Alex Tolio - 2024 © 1- Fundamental Statistics 2- Score Distribution 3- Reliability 4- Correlations with PRO tests 5- Scatterplot 6- Norm 7- Personal Notes 1- Fundamental Statistics Mean Raw Score 13.74 Standard Deviation 6.585 Skewness 0.80037 Kurtosis 0.28955 Lowest Score 3 Highest Score 31 Unsolved Problems 10,18,30 Total Submissions 70 E ective Ceiling 37/40 Test Discrimination 110-175* 2- Score Distribution 3- Reliability Cronbach’s Alpha 0.912 McDonald’s Omega 0.927 Guttman’s Lambda 6 0.8894 Kuder Richarson (KR-20) 0.9139 4- Correlations with PRO tests Number of pairs 26 Tests Used in Correlations CAIT, RAVENS2, RAPM, TRI52, JCTI, C-09, WAIS-IV, WAIS-III, SB-V Pearson’s ρ 0.9405 R^2 0.8845 Mean IQ (PRO tests) 138.154 Mean IQ (Zodiac) 136.423 5- Scatterplot Raw Score Theoretical IQ Score (SD 15) 01 <100 02 <100 03 102 04 105 05 108 06 112 07 116 08 119 09 122 10 125 11 128 12 131 13 134 14 137 15 140 16 142 17 144 18 146 19 148 20 150 21 151 22 153 23 154 24 156 25 157 26 159 27 160 28 162 29 164 30 166 31 168 32 170 33 171 34 173 35 174 36 176 37 177 38 178 39 179 40 180 Notes: Test discrimination's ability is to be considered up to maximum of 37/40; it is then paired with the obtained p value, of which indicate the magnitude of scores up to 170 does match their supposed rarity. In regards to the extension further, is only by speculation of the remaining problems that is within the gap of the top score to the effective ceiling. Unless a score above raw 31 does not appear in the near future; one should doubt test's ability to discriminate further than 170. Interesting is, that by the implementation of the last section, this test's discrimination range starts earlier than usual; albeit one may question their effectiveness at that, the section is usually the most correct by the participants scoring between RS3 and RS9. In conclusion, this fact can serve as an alternative to the implementation of easier problems, in a fun manner, whilst also widening test's scope. However it is not ultimately necessary in such test(s), since it directly contradicts their intended purpose. Alex Tolio - 2024 © 7- Personal Notes