Two- and three-factor solutions of the WAIS-III

The third edition of the Wechsler Adult Intelligence Scale manual reports four-factor solutions for the WAIS-III, and subsequent research has validated four-factor solutions for a variety of samples. These four factors consistently correspond to the four Factor Indexes that are yielded by the WAIS-III. However, the WAIS-III still provides Verbal and Performance IQs, in addition to the Indexes, making it desirable to examine two-factor solutions as well. In addition, because the Wechsler literature includes much interpretation of three-factor solutions, these solutions were likewise examined. Principal factor analysis followed by Varimax and Oblimin rotations of two and three factors were performed on data for the total WAIS-III sample ages 16 to 89 years (N=2,450). The two-factor solutions were viewed as a construct validation of Wechsler's two separate IQs, although the Working Memory subtests tended to load higher on the Performance scale than on their intended scale (Verbal); three-factor solutions were interpreted within the context of Horn's expanded fluid-crystallized theory and research on working memory. Both the two- and three-factor Varimax-rotated solutions were related to similar factor analyses conducted previously for the Wechsler Adult Intelligence Scale-Revised and the Wechsler Intelligence Scale for Children-III. Coefficients of congruence between like-named factors consistently exceeded .90, and usually .98, across different Wechsler batteries.     

Concurrent validity of the WISC-R factor scores

This study investigated the efficacy of predicting academic achievement as measured by the Wide Range Achievement Test using the factor scores of the Wechsler Intelligence Scale for Children-Revised as potential predictors. Both instruments were administered to 200 school children referred for psychological evaluations. Factor scores for the WISC-R were computed according to equations provided by Gutkin (1978). These factor scores then were regressed in a stepwise manner on the Reading, Spelling, and Arithmetic standard scores from the Wide Range Achievement Test. Stepwise regressions also were performed using the traditional Verbal and Performance IQs as the potential predictors. A comparison was made between the results obtained by use of the factors or the more common scores. The results indicated that the Freedom From Distractibility factor score significantly aided in the prediction of Reading and Spelling achievement and was of primary importance in predicting Arithmetic achievement. When the stepwise results using the different scores were contrasted, the factor scores accounted for appreaciably more variance in Arithmetic than did the traditional Verbal and Performance IQs. Derived regression equations are reported along with a discussion of the interpretability of the Freedom From Distractibility factor.     

Confirmatory factor analyses of the WAIS-III standardization data

Confirmatory factor analyses with the standardization data of the Wechsler Adult Intelligence Scale-Third Edition (Wechsler, 1997a) compared 6 models with 1 to 4 factors for 11- and 13-subtest versions of the test. Three factors usually fit the data better than 2 factors, but 2-factor models were more parsimonious. A 2-factor model with a Verbal Comprehension factor (Vocabulary, Similarities, Information, and Comprehension) was as good as and sometimes better than the 2-factor model defined by the traditional separation of Verbal and Performance subtests. For 3-factor models, alternative specifications of processing speed subtests on either the Perceptual Organization or Freedom From Distractibility factor were comparable, and specifying a 4th factor for Digit Symbol and Symbol Search had little advantage in comparison with 3-factor models with correlated errors for the 2 subtests.     

Structure of the Wechsler Adult Intelligence Scale – Revised in the Italian Normal Standardisation Sample

Six multifactor correlated traits models and a single-factor model of the WAIS-R's factor pattern were examined by confirmatory maximum likelihood factor analyses of a data matrix from the WAIS-R's Italian normative sample raw scores (N=2284). The main aim was to identify what model(s) best fit(s) the data for the different age groups considered. Analyses were designed to determine which of seven hypothesised factor solutions best explained the intellectual ability of four age bands (16 to 74 years of age) and of all samples. Results showed the same three-correlated-factors model (Verbal, Performance, and Freedom From Distractibility) for the younger (16 to 24 years of age) and for more aged (65 to 74 years of age), and two different three-factor models for the adult (band from 25 to 64 years of age) that had in common the presence of Digit Symbol loading on Freedom From Distractibility, that in the younger and aged band loaded on Perceptual Organisation. The individuals may use different strategies when performing a given task on the WAIS-R. Such differences in latent variability may represent real differences in neuropsychological functioning, and as such can account for some of the variability in results noted in the literature. Differences in latent variability across distinct demographic and clinical groups could provide important insight into brain–behaviour relationships.     

WAIS-R factor structure in Alzheimer's disease patients: a comparison of alternative models and an assessment of their generalizability

The WAIS-R is often used in neuropsychological evaluations of individuals with probable Alzheimer's disease (AD), but its factor structure in this population is unknown. Moreover, theories and past research findings make competing predictions concerning its structure. Using confirmatory factor analysis, the authors compared 5 alternative WAIS-R factor models among 516 AD patients: 1-factor (Spearman's g) and 2-factor (Verbal IQ and Performance IQ) models; a 3-factor model including Verbal Comprehension (VC), Perceptual Organization (PO), and Freedom From Distractibility (FD) factors; a 3-factor model in which Digit Symbol loads on PO rather than FD; and a 3-factor model in which Digit Symbol loads on both PO and FD. Results favored the 3-factor model in which Digit Symbol loads on PO rather than FD. Moreover, this model fit the data best among subsamples of patients defined by age, dementia severity, years of education, and gender.     

Factor analysis of Wechsler Adult Intelligence Scale-Revised in developmentally disabled persons

The results of previous studies on the factorial structure of Wechsler Intelligence Scales are somewhat inconsistent across normal and pathological samples. To study specific clinical groups, such as developmentally disabled persons, it is useful to examine the factor structure in appropriate samples. A factor analysis was carried out using the principal component method and the Varimax orthogonal rotation on the Wechsler Adult Intelligence Scale (WAIS-R) in a sample of 203 developmentally disabled persons, with a mean age of 25 years 4 months. Developmental disability ranged from mild to moderate. Partially contrasting with previous studies on normal samples, results found a two-factor solution. Wechsler's traditional Verbal and Performance scales seems to be more appropriate for this sample than the alternative three-factor solution.     

The relationship between WAIS-R abilities and speed of processing in a word identification task

Matched to the proportions found in the U.K. census data for a range of demographic variables (age, sex, and socioeconomic status) 123 participants were tested on the Wechsler Adult Intelligence Scale-Revised (WAIS-R) and a test of the minimum presentation time required to identify tachistoscopically presented words. The correlations between the sum of the scaled scores for Full, Verbal, and Performance subtests and the log of the identification measures were -0.40, -0.22, and -0.51, respectively. These results are in line with those observed between the WAIS-R measures and standard visual inspection time (IT). Confirmatory factor analysis indicated that a three-factor model of intelligence with Verbal, Performance, and Attention/Concentration factors, and with the identification threshold loaded on the Performance factor alone, represented a better fit to the data than either a single general factor model or a two-factor model with Verbal and Performance factors. These results are in line with findings in the IT literature (Deary, 1993) that speed of information processing is significantly related to performance IQ but not to verbal IQ.     

Construct validity of Wechsler factor scores.

The construct validity of the Verbal Comprehension. Perceptual Organization, and Freedom from Distractibility factor scores was examined in a sample of school-aged referred children. Examination of correlations between factor scores and neuropsychological and achievement tests generally supported the construct validity of the factors. The Verbal Comprehension factor was associated with verbal, quantitative, and concept-formation abilities. The Perceptual Organization factor was related to nonverbal concept formation, tactual performance, and visual attention. The Freedom from Distractibility factor demonstrated a complex pattern of correlations and appeared to reflect a range of abilities including quantitative, language, attentional, and concept formation.     

A confirmatory factor analysis of the WISC-III in a clinical sample with cross-validation in the standardization sample.

Maximum likelihood confirmatory factor analysis was applied to the Wechsler Intelligence Scale for Children-Third Edition (WISC-III; Wechsler, 1991) data of a mixed clinical sample of 318 children. Analyses were designed to determine which of nine hypothesized oblique factor solutions could best explain intelligence as measured by the WISC-III in the clinical sample. Competing latent variable models were identified in previous studies, and results in the clinical sample were cross-validated by testing all models in the WISC-III standardization sample (n = 2200). Findings in both the clinical and standardization samples supported a five-factor model including Verbal Comprehension, Constructional Praxis, Visual Reasoning, Freedom from Distractibility, and Processing Speed factors. The Visual Reasoning factor was defined primarily by Picture Arrangement, whereas Mazes did not appear to improve model fit. Potential opportunities and pitfalls with regard to the interpretation of the proposed Visual Reasoning factor are discussed.     

Joint factor analysis of the K-ABC and WISC-R with normal children

This study investigated the factor structure of the WISC-R and K-ABC for a group of 212 normal children who were tested on both instruments in counterbalanced fashion. Separate factor analyses and a joint analysis consistently produced three factors. The various analyses led to the conclusion that there is a clear-cut correspondence between the WISC-R and K-ABC factors. WISC-R Verbal Comprehension corresponded closely to K-ABC Achievement; WISC-R Perceptual Organization resembled K-ABC Simultaneous Processing; and WISC-R Freedom From Distractibility was similar to K-ABC Sequential Processing. The g factors from both instruments also correlated substantially.     

Relationship of the WISC-R factors to the adaptive behavior scale-school edition in a referral sample

The Wechsler Intelligence Scale for Children-Revised (WISC-R) factor deviation quotients (DQ) were calculated for Verbal Comprehension (VCDQ), Perceptual Organization (PODQ), and Freedom From Distractibility (FDDQ) factors for 83 referred children aged 7 years, 5 months to 16 years, 2 months who received a psychoeducational evaluation. The DQs were then compared to the factor domain and Comparison scores of the Adaptive Behavior Scale-School Edition (ABS-SE) by separate stepwise regression analyses. The results indicated that the two significant models were Community Self-Sufficiency (F(3, 76)=6.67,p<.001,R²=.208) and the Comparison Score (F(3, 76)=7.30,p<.001, R²=.223). The VCDQ and Verbal IQ scores were essentially equal predictors of adaptive behavior, but the PODQ and Performance IQ scores were not predictive. It is suggested that practitioners using the ABS-SE consider the differential predictive characteristics of the Verbal IQ/VCDQ and Performance IQ/PODQ when making placement decisions and when predicting success in various programs. Verbal comprehension is presented as being a common construct that underlies the WISC-R and ABS-SE. The suggestion that cognitive processes enable persons to acquire skills that make performance of adaptive skills possible also is discussed.     

Differences in intelligence between nondelinquent and dropout delinquent adolescents

This study examined differences in intelligence between dropout delinquent adolescents and nondelinquent adolescents in Israel. It was part of research aimed at using psychological tests to characterize dropout delinquents. The participants, 215 adolescents at a psychoeducational center, were divided into three groups and were tested using the WISC-R: dropout delinquent adolescents living in residential institutions, dropout delinquent adolescents living at home, and nondelinquent adolescents living at home and enrolled in the formal education system. Results showed significant differences among the three groups in Verbal IQ, Performance IQ, Total IQ, and the Freedom from Distractibility factor, and pointed out the relative weakness of the dropout delinquent groups.     

Factor analysis of the WISC-R and the Adaptive Behavior Scale-School Edition for a referral sample

The purpose of this study was to determine if a common factor structure was evident in the Wechsler Intelligence Scale for Children-Revised (WISC-R) and the Adaptive Behavior Scale-School Edition (ABS-SE) for a sample of 171 children referred for evaluation of learning and behavior problems. The WISC-R subtests (excluding Mazes) and the ABS-SE factor domain scores (Personal Self-Sufficiency, Community Self-Sufficiency, Personal-Social Responsibility, Social Adjustment, and Personal Adjustment) were subjected to an exploratory principal-components factor analysis with varimax rotation. ANOVAs were conducted on each of the derived factors to determine race and sex effects. The results indicated no common factor structure in the instruments, the Verbal Comprehension, Perceptual Organization, Independent Functioning, Maladaptive Behavior, and Freedom From Distractibility factors being extracted. The derived factors were very similar to those identified in standardization data and other studies. Perceptual Organization and Social Adjustment showed sex and race effects, respectively, although each model accounted for only about 7% of the variance.     

Four tables for the statistical interpretation of factor scores on the Wechsler intelligence scale for children—Revised (WISC-R)

When the Wechsler Intelligence Scale for Children–Revised (WISC-R) is analyzed into three factors (Verbal Comprehension, Perceptual Organization, and Freedom From Distractibility), the clinician has the choice of expressing each factor as either a deviation quotient (an IQ analog) or a factor score (the arithmetic mean of the constituent subtests). For the clinician who wishes to use factor scores instead of deviation quotients, four tables are presented that provide (1) the percentile equivalents of factor scores; (2) the significance of differences between factor scores; (3) the frequency with which specified discrepancies occur; and (4) the significance of differences between a factor score and the scaled score of a constituent subtest.     

Validity of a short form of the WISC-III in children with traumatic head injury

The concurrent, construct, and criterion validities of Donders' (in press) short form of the Wechsler Intelligence Scale for Children - Third Edition (WISC-III) were evaluated in a sample of 171 children with traumatic head injury (THI). Correlations between the short-form deviation quotients and their full-length counterparts were statistically significant. Confirmatory factor analysis revealed that a four-factor model (composed of Verbal Comprehension, Perceptual Organization, Freedom from Distractibility, and Processing Speed) fit the data relatively well. The short-form deviation quotients also had statistically significant correlations with length of coma. It is concluded that this short form is an accurate and valid alternative to the full-length WISC-III in children with THI.     

Comparative Suggestibility in the Trance and Waking States—a Further Study

A Wherry hierarchial factor analysis was performed on the Wechsler Intelligence Scale for Children subtest scores for 90 disadvantaged white and black boys and girls, ages 10 to 11 years, whose full scale IQs ranged from 80 to 95. A hierarchial arrangement of abilities congruent with Vernon's structure of intellectual theory was obtained. The obtained arrangement consisted of two factors defined as a verbal factor equivalent to v:ed and a performance factor equivalent to k:m. The factor structure remained stable across age groups, and similar factors were exhibited by both ethnic groups. The factors found in the present study support early findings which suggest that the WISC Verbal and Performance subtests are not functionally pure.     

Factor analysis of responses to the WISC-R for gifted children

Several researchers have focused on the question of whether the traditional two-factor interpretation of WISC--R scores proposed by Wechsler (1974) is appropriate in selecting students to be admitted to gifted programs. Some researchers have suggested that the two-factor solution (Verbal and Performance) of Karnes and K. E. Brown provides the appropriate model, while others have proposed an alternative model based on exploratory research with gifted and average students. The current study expands exploratory findings of S. W. Brown with Rood in 1982 and Yakimowski in 1987, using confirmatory factor analytical procedures. The confirmatory factor analyses for selected groups of gifted (n = 158) and average (n = 195) students (M = 9.6 yr.) indicate that the alternative three-factor solution model may be a better system for interpreting the pattern of WISC--R subtest scores of gifted students than the conventional Verbal and Performance solution.     

I. Validity of WISC-R factor scores in predicting achievement and attention for four sociocultural groups

The predictive validity of WISC-R factor scores was examined with samples from the four sociocultural groups of Anglo, Black, Chicano, and native American Papago. The Full Scale IQ and Verbal Comprehension (VC) factor scores were significantly better predictors of achievement as measured by teacher ratings and the Metropolitan Achievement Test. The Perceptual Organization and Freedom from Distractibility (FD) factor scores were also significantly related to achievement, but at a lower level than Full Scale and VC. The correlations of the WISC-R and achievement measures were nearly the same for three of the four groups (exception was native American Papago). The relationship of the FD factor score to ratings of attention was statistically significant, but relatively low. Cautions in interpreting FD as a measure of attention were recommended due to overlap of distributions and low proportion of variance in attention accounted for by FD.     

Revisiting the factor structure of the WAIS-R: insights through nested factor modeling

Past attempts to model via confirmatory factor analysis (CFA) the Wechsler Adult Intelligence Scale-Revised (WAIS-R) intersubtest covariation have used an oblique factor or a higher order modeling approach. The attempts have failed to yield adequate model fit, based on current CFA recommendations. Using the WAIS-R standardization data, it is demonstrated that the WAIS-R can be better conceptualized as measuring a first-order general factor and three orthogonal group-level factors. The results are discussed in relation to Verbal and Performance Intelligence scoring and failed attempts to find relationships between VIQ/PIQ difference scores and external criteria. Because Arithmetic and Digit Span did not share any variance with the other VIQ subtests, independent of General Intelligence, clinicians should reconsider interpreting a VIQ score that includes information from Arithmetic and Digit Span in nonclinical populations. Researchers are encouraged to model intelligence factors as nested factor models, considering their superior model fit, and the increased clarity in the interpretations of relationships between IQ indices and criteria.     

WISC-R subtest but no overall VIQ-PIQ difference in Dutch children with PDD-NOS

VIQ-PIQ differences have been studied in children with autism and Asperger syndrome but have not been studied in a separate group of children with PDD-NO, although, PDD-NOS has a much higher prevalence rate than autism and deficits in communication and social interaction are severe. The Wechsler Intelligence Scale for Children-Revised (WISC-R) was administered to 100 children, aged 6-12 years, with PDD-NOS (n = 76), autism (n = 13), and Asperger syndrome (n = 11). PDD-NOS was diagnosed using explicit research criteria. No overall differences between VIQ and PIQ were found in PDD-NOS and autism. Peaks in the subtest scores on Information, Similarities, Picture Arrangement, and Mazes, and troughs in the subtest scores on Comprehension, Digit Span, and Coding were demonstrated in children with PDD-NOS. Their score on the Freedom from Distractibility factor was lower than the scores on the Verbal Comprehension factor and the Perceptual Organization factor. Children with PDD-NOS seemed to have a similar VIQ-PIQ profile as children with autism, and on the subtest level children with PDD-NOS showed some similarities to children with Asperger syndrome or autism. It was not possible to distinguish PDD-NOS from autism or Asperger syndrome by using IQ scores.