Insight Psychometrics Technical Manual - Canadian Test Centre

6) From the final scores, national percentile ranks (NPR) and Stanineranks (Stn) are calculated by lookup from the normal distribution, asindicated in Figure 14. The column “X” is the standard subtest score(mean 100, standard deviation 15) as calculated above. NPR is theestimated percentage of examinees in the age group (month) who areat that score and below. Stanine is a conventional simplified version ofNPR.Figure 14: Transformation of standard scores to NPR and stanineX NPR Stn X NPR Stn X NPR Stn X NPR Stn65 1 1 81 10 2 101 53 5 121 92 866 1 1 82 12 3 102 55 5 122 93 867 1 1 83 13 3 103 58 5 123 94 868 2 1 84 14 3 104 61 6 124 95 869 2 1 85 16 3 105 63 6 125 95 870 2 1 86 18 3 106 66 6 126 96 971 3 1 87 19 3 107 68 6 127 96 972 3 1 88 21 3 108 70 6 128 97 973 4 1 89 23 4 109 73 6 129 97 974 4 1 90 25 4 110 75 6 130 98 975 5 2 91 27 4 111 77 6 131 98 976 5 2 92 30 4 112 79 7 132 98 977 6 2 93 32 4 113 81 7 133 99 978 7 2 94 34 4 114 82 7 134 99 979 8 2 95 37 4 115 84 7 135 99 980 9 2 96 39 4 116 86 797 42 5 117 87 798 45 5 118 88 799 47 5 119 90 8100 50 5 120 91 8The standard score ranges (95% confidence intervals) for the subtest scoresand the NPRs are calculated by repeating steps 4–6 above, using theindividual theta value plus and minus 1.96 times the individual standarderror from the Rasch estimation.A similar process is used for presenting results for the three discrepancyscores, ITI vs IMPI, Glr vs Gc, and Gsm,Glr vs Gf,Gv. The age-specificempirical distributions of the discrepancies are examined and smoothedestimates of the age-specific quantiles corresponding to normal quantiles of–1, 0, and 1 are calculated. (See the last pages of Appendix B.) Then, whenthe discrepancy for an examinee is determined, its normal equivalent12