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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