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The WAIS-III Verbal Comprehension Index and the Perceptual Organization Index provide examiners with an alternate pair of standard scores for comparing global verbal and nonverbal abilities, supplementing (and sometimes replacing) the all-encompassing V-IQ and P-IQ.4

There are npe g i 1 1ni 12 n m degrees of freedom associated with the pure-error sum of squares. The sum of squares for lack of t is simply SSLOF with n 2 npe m SSE SSPE (S11-4)

The factor indexes are sometimes considered purer measures of verbal and nonverbal intelligence. As detailed in Table 11.4, the VCI excludes the subtests that are thought to measure sequential processing, working memory, and number ability, and, instead, measures conceptual thought and verbal expression. The POI excludes the two subtests that tap mental and motor speed, and this index captures one s nonverbal thinking and application of visual spatial skill. Figure 11.3 poses a reader s question about why we chose to focus only on certain WAIS-III index comparisons, such as the VCI versus POI. To determine whether the VCI and POI are unitary constructs, the factor indexes need to be checked for subtest scatter or variability, just as the IQs were examined. Two parallel questions need to be asked about the factors to ascertain if either one is compromised by too much scatter: (1) Is there significant scatter among the VCI subtests, and (2) Is there significant scatter among the POI subtests As noted in Table 11.9, a 5 or more point range between the scaled score of the highest and lowest VCI subtests is considered abnormal, and a 6 or more point range between scaled scores of the highest and lowest POI subtests is considered abnormal. The WAIS-III manual did not provide these ranges, so we computed them in the following way. The VCI and POI each includes three subtests. It is possible to compare pairs of scaled scores within each scale to determine if they are significantly different (data are provided in Wechsler, 1997, Table B.4). For VCI and POI, three pairwise comparisons

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2 degrees of freedom. The test statistic for lack of t would then be F0 SSLOF 1m 22 SSPE 1n m2 MSLOF MSPE f (S11-5)

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11-3

STEP 4 Outcome If ALL the answers to STEP 4 questions A, B, C, and D are NO If the answer to one or more questions in STEP 4 is YES Impact on V-IQ and P-IQ How to Proceed

This test procedure may be easily introduced into the analysis of variance conducted for the signi cance of regression. If the null hypothesis of model adequacy is rejected, the model must be abandoned and attempts must be made to nd a more appropriate model. If H0 is not rejected, there is no apparent reason to doubt the adequacy of the model, and MSPE and MSLOF are often combined to estimate 2. EXAMPLE S11-1 Consider the data on two variables y and x shown below. Fit a simple linear regression model and test for lack of t, using 0.05.

Explain the meaningful difference between V-IQ & P-IQ. Then you may skip to STEP 6, if you choose. Examine VCI versus POI discrepancy in STEP 5.

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x 1.0 2.0 3.3 4.0 5.0 y 2.3, 1.8 2.8 1.8, 3.7 2.6, 2.6, 2.2 2.0 x 5.6 6.0 6.5 6.9 y 3.5, 2.8, 2.1 3.4, 3.2 3.4 5.0

Reader s Question: The Record Form for the WAIS-III has a section for comparing all possible combinations of the four indexes, yet the WAIS-II technical manual at this point recommends only comparisons between VCI and WMI, and between POI and PSI. I was wondering whether you have considered an approach looking at the mean of the four indexes, and then comparing each of the indexes to this mean to look for statistically significant index strengths or weaknesses. It seems as though this kind of approach, examining all possible index strengths and weaknesses, would be useful for both diagnostic and treatment planning purposes.

The regression model is y 1.697 0.259x, and the regression sum of squares is SSR The pure-error sum of squares is computed as follows:

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