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There have been subtle changes in the predominant type of short-form research conducted on the 1955 WAIS and its subsequent revisions Many WAIS short-form articles involved efforts to discover the best brief battery for specialized populations such as psychiatric inpatients (Robertson, Steinmeyer, & Goff, 1980; Stricker, Merbaum, & Tangeman, 1969) That approach was flawed because short forms developed for a specific, atypical population do not generalize well to other specific populations, even ones with the same label but from a different part of the country or spanning a different age range WAIS-R researchers have tended to validate with special populations specific brief tests with known psychometric properties, selected by conscientious researchers (Reynolds et al, 1983; Silverstein, 1982d) from data on the large, normal standardization sample.

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They tended to focus on a variety of issues when selecting the best short forms besides the simple statistical question of which form correlated best with the Full Scale For example, some WAIS-R short-form researchers pointed out that short-form validity (ie, correlation with Full Scale) had been stressed to the point of ignoring the reliability of the abbreviated form (Brooker & Cyr, 1986; Cyr & Brooker, 1984), something they remedied in their WAIS-R research In his early work, Kaufman (1972, 1976b) criticized most previous short-form researchers who focused exclusively on the size of the validity coefficients, without concern for the clinical sense of the grouping of selected tasks; the tasks he chose met a variety of practical, clinical, and conceptual criteria, as well as psychometric criteria More recently, Kaufman and his colleagues (Kaufman et al, 1991; Kaufman et al.

Figure S14-10 Central composite design for Example S14-4.

, 1996) have addressed the length of the short form, asking the sensible question, If the aim of short forms is to save time, why do so many short forms include subtests that take a long time to give (eg, Picture.

Table S14-9 summarizes the analysis of variance for this model. The response surface is shown graphically in Fig. S14-12. Notice that viscosity increases as both time and temperature increase. As in most response surface problems, the experimenter in this example had con icting objectives regarding the two responses. The objective was to maximize yield, but the acceptable range for viscosity was 38 y2 42. When there are only a few independent variables, an easy way to solve this problem is to overlay the response surfaces to nd the optimum. Figure S14-13 shows the overlay plot of both responses, with the contours y1 69% conversion, y2 38, and y2 42 highlighted. The shaded areas on this plot identify unfeasible combinations of time and temperature. This graph shows that several combinations of time and temperature will be satisfactory. Example S14-4 illustrates the use of a central composite design (CCD) for tting a second-order response surface model. These designs are widely used in practice because they are relatively ef cient with respect to the number of runs required. In general, a CCD in k

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Table S14-8 Analysis of Variance for the Quadratic Model, Yield Response Source of Variation Model Residual Total Independent Variable Intercept x1 x2 x2 1 x2 2 x1x2 Sum of Squares 45.89 4.30 50.19 Coef cient Estimate 69.100 1.633 1.083 0.969 1.219 0.225 Degrees of Freedom 5 7 12 Standard Error 0.351 0.277 0.277 0.297 0.297 0.392 Mean Square 9.178 0.615 f0 14.93 P-Value 0.0013

Arrangement) or score (e.g., Comprehension) They examined brief short forms (two to four subtests) of the WAIS-R (and, later, of the WISC-III) and discovered that reliable and valid IQ estimates resulted from groupings of subtests that are short to administer and score, such as Picture Completion and Arithmetic. Despite this focus on brevity, which attracted considerable research attention in the mid-1990s (e.g., McCusker, 1994; Nagle & Bell, 1995), more recent WAIS-III researchers have done an aboutface, shifting the focus away from brevity by advocating the use of seven subtests, instead of the more traditional two to four, to estimate IQs (Ryan, 1999; Ryan & Ward, 1999) and even factor indexes (Axelrod, Dingell, Ryan, & Ward, 2000).

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that are set out in the next section. Then we systematically discuss the three best short forms for yielding global IQs plus verbal nonverbal splits (WASI, K-BIT, and WRIT), as well as a number of other brief, well-constructed tests that fill more specific clinical or research needs (e.g., measures of nonverbal ability, receptive vocabulary, and functional intelligence).

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