Step 3. Perform the FSIQ–GAI Discrepancy Comparison
Table C.2
Differences Between the FSIQ and the GAI Required for Statistical Significance (Critical Values), by Age Group and Overall Normative Sample
Age Group 16 ?17 18 ?19 20?24 25?29 30?34 35?44 45?54 55?64 65?69 70?74 75?79 80?84 85?90
All Ages
Level of Significance .15 .05 .15 .05 .15 .05 .15 .05 .15 .05 .15 .05 .15 .05 .15 .05 .15 .05 .15 .05 .15 .05 .15 .05 .15 .05 .15 .05
Critical Value 2.91 3.96 2.51 3.41 2.57 3.50 2.58 3.51 2.71 3.68 2.69 3.66 2.41 3.29 2.58 3.51 2.26 3.08 2.65 3.61 2.45 3.34 2.35 3.19 2.52 3.44 2.56 3.48
Note. The differences required for statistical significance (critical values) are calculated with the following formula derived based on the logic of Davis (1959) Case 1, Equation [3].
Critical Value of Difference Score = Z
SEM
2 Xi
+
SEM
2 Xj
-2
SEM SEM
2 i
2 j
(SEM
Xi
)(SEM
Xj
)
where errors for all
oZsuf ibmstetehsatessunirnoermtmheeanlGtcfAuorrIv,tehanevdaGluAeSIaEassMnodc2jiFiasSteItdQhewcsioutmhmptohofesitdtheeessiscrqoeurdeastr,wedo-sSttEaainMledd2ai rissdigtenhreirfoiscrusamnocfoemflteehvaeesuls,rqSeuEmaMreenXdti
and SEMXj are the standard standard errors of measurement for all subtests in the FSIQ.
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