Computing Standard Scores for the Bannatyne Categories and Horn Groupings in .NET

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Computing Standard Scores for the Bannatyne Categories and Horn Groupings
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To be optimally meaningful, it is desirable to convert a person s scores on the subtests in each category to a standard score having the familiar mean of 100 and standard deviation of 15. We developed such formulas for each Bannatyne category and each Horn grouping. The formulas within each category were so similar from age group to age group across the 16 17 to 85 89 year range that we opted for simplicity: a single formula per category derived for the total standardization sample of 2,450 that will suffice for everyone between ages 16 and 89 years. These simple formulas are presented for each Bannatyne category and Horn grouping in Table 11.14. The only exception is Horn s Short-Term Memory category, which is identical to the Working Memory factor; therefore, the value of the WMI also serves as the standard score for Horn s Gsm grouping. For example, the formula to compute
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TABLE 11.14
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Formulas for converting WAIS-III sums of scaled scores of subtests composing various clusters to standard scores having a mean of 100 and SD of 15 Formula Component Subtests
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Bannatyne Categories Verbal Conceptualization Spatial Sequential Acquired Knowledge Horn Groupings Fluid Intelligence Crystallized Intelligence Broad Visualization Broad Speediness Short-Term Memory 1.1 Xss + 34 1.2 Xss + 40 1.5 Xss + 40 1.9 Xss + 43 Same as WMI MR + BD + OA + S + PA + A I + V + C + S + PA MR + BD + OA + PC CD + SS + OA A + DS + LNS 1.8 Xss + 46 1.5 Xss + 40 1.6 Xss + 36 1.9 Xss + 43 V+S+C MR + BD + OA + PC A + DS + CD + LNS I+A+V
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NOTE: Each formula applies to the entire 16- to 89-year age range. Xss equals the sum of the scaled scores for the subtests in each grouping.
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the Crystallized subtest grouping score in Horn s system is 1.2 Xss + 40. Xss equals the person s sum of scaled scores on the subtests that make up each category. For the Crystallized grouping, these subtests are Information, Vocabulary, Comprehension, Similarities, and Picture Arrangement. For example, Brandon Y. earned the following scaled scores on these five tasks: 11, 16, 12, 11, and 15, respectively. The sum of these scores equals 65; hence, substitute 65 for Xss in the formula. 1.2 (65) + 40 = 78 + 40 = 118. This value becomes Brandon s Crystallized standard score.
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TABLE 11.15 Bannatyne categories and Horn groupings: Reliability and SEM
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Cluster Bannatyne Categories Verbal Conceptualization V+S+C Spatial MR + BD + OA + PC Sequential A + DS + CD + LNS Acquired Knowledge I+A+V .96 3.0 .94 3.7 .93 4.0 .95 3.4 rxx SEM
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Reliability of Bannatyne Categories and Horn Groupings
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Table 11.15 presents reliability coefficients and standard errors of measurement for the four Bannatyne categories and five Horn groupings. For all separate categories in the two interpretive systems, reliabilities are excellent for adults, almost never falling below .90 (the one exception is Horn s Broad Speediness) and sometimes exceeding .95.
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Horn Groupings Fluid Intelligence MR + BD + OA + S + PA + A Crystallized Intelligence I + V + C + S + PA Broad Visualization MR + BD + OA + PC Broad Speediness CD + SS + OA Short-Term Memory A + DS + LNS .94 3.8 .88 5.2 .93 4.0 .96 3.0 .95 3.4
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Determining Strengths and Weaknesses within Each System
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Table 11.16 allows examiners to compute significant strengths and weaknesses among four Bannatyne categories and five Horn groupings. This table presents the size of the difference required for statistical significance when comparing a person s standard score on each factor to his or her own mean score on the several categories. The interpretive system presented here is similar to the one we describe for computing strengths and weaknesses on the 14 WAIS-III subtests: The person s average performance defines the baseline against which each separate cluster is compared. Standard scores significantly above the person s mean are relative strengths; scores be-
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NOTE: SEM s are in standard score units (SD = 15)
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low the mean are relative weaknesses. Examiner Forms 11.1 and 11.2 (pp. 439 442) are intended to facilitate these computations. The method of determining strengths and weaknesses is illustrated below for the Bannatyne system using the profile of Brandon Y., age 72, who suffered a stroke 2 years ago. 1. Compute Brandon s scaled scores. 2. Sum Brandon s three scaled scores for the subtests constituting the Verbal Conceptualization cluster. Brandon earned scores of 16 on Vocabulary, 11 on Comprehension, and 15 on
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