Wechsler Adult Intelligence Scale - Revised (WAIS-R)
German language version: Hamburg-Wechsler Intelligenztest für Erwachsene - Revision (HAWIE-R)
Preliminary remarks (Readme!)
The German version of the WAIS-R, the HAWIE-R, is very outdated. The documentation text on the HAWIE-R is retained here only for historical reasons and for scientific comparison purposes. Since 2006 there has been a successor to the HAWIE-R (published in 1991) in the WIE. The norms of the two tests differ.1) Since 2012 there has also been a successor to the WIE, the WAIS-IV. There should no longer be any reason to administer the old HAWIE-R rather than the newer WIE or - best of all - the WAIS-IV in the initial examination of a patient or examinee. For cases in which one wishes to compare old HAWIE-R reports with newer WIE reports, TDB2Online offers a workaround: using the equivalence tables from the work of Erzberger & Engel (2010), a conversion was programmed in TDB2Online under the “Test” outline item HAWIE-R with WIE norms. Subtest raw scores obtained with the HAWIE-R are presented in the evaluation as performance scores and age-normed scores based on the WIE norms. This makes it possible to retrospectively render old HAWIE-R results comparable with WIE results (for example, in repeated measurements of the same patient). Similar evaluation bridges to the WAIS-IV are lacking because there are no corresponding equivalence studies.
Background
The Hamburg-Wechsler Intelligenztest für Erwachsene – Revision2) is the German edition of the Wechsler Adult Intelligence Scale – Revised (WAIS-R).3) The WAIS-R was published in the USA in 1981 as the third “generation” of the intelligence test battery that David Wechsler compiled in the 1930s, at that time as the “Wechsler-Bellevue Scale”, primarily for clinical purposes. The German edition was published in 1991, and a corrected manual dates from 1994.
The test manuals contain only the material necessary for administration and scoring. Historical background information on the Wechsler tests can be found in the classic handbook by Matarazzo4), which is also available in a German translation.5) However, this book refers to the predecessor tests of the HAWIE-R.
More recent literature on the clinical interpretation of the Wechsler intelligence test batteries for adults is currently available only in English.6) 7) However, both refer predominantly to the WAIS-III, the German version of which is the WIE.
Composition
With its 11 subtests, the HAWIE-R offers a good overview of the structure of cognitive performance, especially in cognitively impaired patients. The composition of the subtests was not changed in comparison with the predecessor HAWIE8); changes are found only at the item level within the individual subtests. However, the norms differ considerably from those of the HAWIE, which - as previously with the children's version, the HAWIK - led to various practical problems in assessment. Details have been reported by Satzger et al. 1996.9)
The HAWIE-R is divided into a Verbal part with six subtests and a Performance part with five subtests. Table 1 gives an overview of the subtests with their English names, their assignment to the test parts, the abbreviation customary in English, the rank position in test administration, and the possible raw score range.
Table 1: Subtests of the HAWIE-R
| Test part | Subtest | Abbreviation | Order | Raw score range |
|---|---|---|---|---|
| Verbal part: | Information | IN | 1 | 0-24 |
| Digit Span | DS | 3 | 0-28 | |
| Vocabulary | VC | 5 | 0-32 | |
| Arithmetic | AR | 7 | 0-19 | |
| Comprehension | CO | 9 | 0-26 | |
| Similarities | SI | 11 | 0-32 | |
| Performance part: | Picture Completion | PC | 2 | 0-17 |
| Picture Arrangement | PA | 4 | 0-56 | |
| Block Design | BD | 6 | 0-51 | |
| Object Assembly | OA | 8 | 0-41 | |
| Digit Symbol Coding | DSC | 10 | 0-93 |
Test material
For the administration of the HAWIE-R one needs the complete test set, which, in addition to the manual and an initial supply of record forms and task booklets, also contains the test material for the practical subtests. Since 2006 the test material has no longer been commercially available.
The copyright for the HAWIE-R is held by the publisher Hans Huber in Bern.
Test administration
All Wechsler intelligence test batteries are individually administered tests. The test material is varied and, through its diversity, maintains as well as possible the usually rather moderate motivation of clinical examinees; the individual administration with only one patient also contributes to this.
Administration is described well and in detail in the test manual. It is more difficult than with many other ability tests and must be learned and practiced. The verbal tests, for example, are answered freely. This is good for the examinee, but for the test administrators it means that the answer must be compared with the sample answers in the manual and scored. One must also know in which cases to ask for further explanation. It is not sufficient to read later that one should have asked a follow-up question in response to a particular answer in order to arrive at a clear score.
Administration of the complete HAWIE-R usually takes about 90 minutes in psychiatric patients. To this must be added the scoring time, which depends strongly on the experience of the administrator.
Test raw scores
The 11 subtests of the HAWIE-R yield raw points of different origin. For the Verbal subtests Information (IN), Digit Span (DS), Vocabulary (VC), Comprehension (CO) and Similarities (SI) and for the Performance subtests Picture Completion (PC) and Digit Symbol Coding (DSC), the raw points represent a sum of the correct solutions, whereby for CO and SI all answers are scored with one or two points according to their degree of appropriateness and completeness. In contrast to this (and also in contrast to most other tests), the raw points for the Verbal subtest Arithmetic (AR) and for the Performance subtests Picture Arrangement (PA), Block Design (BD) and Object Assembly (OA) are composed, for each item, of up to nine basic points for a correct solution and up to three additional time points for the speed of the solution. This means that the raw score distributions of these subtests - especially in the lower range - are not occupied at all at some points and jump sharply at others. The maxima of the raw scores vary between the subtests from 17 (PC) to 93 (DSC); the minima are uniformly 0.
Scaled score transformation
Because of the differing numbers of points, the raw scores have been converted into so-called scaled scores by means of tables since the first generation of the Wechsler intelligence tests. The methods for converting raw scores to scaled scores have changed over the generations of Wechsler tests and are described in detail in the corresponding section on the WAIS-III. In the HAWIE-R, as in the American original (WAIS-R), scaled scores are scaled such that for each subtest the scaled score distribution of young adults between 20 and 34 years has a mean of 10 and a standard deviation of 3. This method leads to a good definition of the scaled scores, entirely in the spirit of the performance scores in TDB2Online: they characterize the performance of young healthy examinees at the peak of cognitive performance. The age range of the normative sample does not have any influence on this. Age-related deficits are found on both sides. Adolescents around the age of 16 achieve, for example, on average only 8 scaled scores on the Vocabulary test, whereas in the subtests of the Performance part the differences from adults are small. Examinees aged seventy achieve in some subtests of the Performance part only a mean scaled score of four to six. The latter in particular impairs the possible scaling of poorer performance in older persons because of the limited range of the scaled scores.
Norm sources
For the HAWIE-R there are practically only the normative data reported in the manual. This was still quite different for the HAWIE. In the course of the test's history of use, normative data were reported for various groups of persons that markedly changed and supplemented the original ones.
Processing of the normative data
In the manual of the HAWIE-R, in addition to the usual table for converting raw scores to scaled scores based on the 20-34-year-olds, there are also tables with the age-specific scaled scores for each subtest. These tables contain the results of a linearizing percentile-to-normal transformation of the raw scores onto the scaled score scale (10;3) for each age group and each subtest individually. They served as the basis for the calculation of norms in TDB2Online.
The tables in the manual give the age-specific raw score-scaled score relationships only as integers. On the one hand, it happens that several raw scores occupy the same scaled score. On the other hand, for some scaled scores there is no raw score equivalent. The hard steps of this conversion were first smoothed by a moving average. The order of the moving average depended on the granularity of the raw score scale. At the ends of the distribution the data were extrapolated so that the transformation equation could be retained. Subsequently, a moving average of the third order was also used to align the data between the age groups. Subsequently, the data for the two age groups 20-24 and 25-34 were averaged. These means formed the basis for the calculation of the performance scores for each subtest.
Distributional properties
In principle, the percentile-to-normal transformation leads to a linearization of the raw scores and thus to a normal distribution. At the time of the inclusion of the HAWIE-R in TDB2 this was not examined further.
For the WIE, where the starting situation is essentially the same as for the HAWIE-R, individual distributions were examined later (see the corresponding section in the detailed test documentation for the WIE). Mostly good distributional properties were found, but sometimes also more substantial ceiling or floor effects. In principle, this could also be calculated and presented for the HAWIE-R. In view of the obsolescence of the HAWIE-R, however, this should no longer be necessary.
Linearization of the measurement scale
A linearization of the raw scores is carried out implicitly via the scaled score transformation, namely via those for the age groups 20-24 and 25-34, which are used in combination for the calculation of the performance scores.
Treatment of the intelligence quotients
When several subtests are summed or averaged and the result of these operations is then re-normed as a new measured value, a new metric arises that is no longer compatible with that of the subtests. This state of affairs was explained in the general documentation in the section Multiple standardization at different levels. The HAWIE-R served there as a demonstration example, which is why reference is made here to that section. We saw there that an examinee who achieves four scaled scores in every subtest does not obtain in the intelligence quotients the IQ of 70 that one would expect with a comparable metric (two standard deviations below the mean of his or her age group), but clearly lower values, namely 57 for the Verbal and Performance IQ and 48 for the Full Scale IQ. The change in the metric depends on the correlation between the subtests and the number of aggregated subtests. In the HAWIE-R, the changes in the metric turn out to be particularly extreme because of the low subtest intercorrelations in the normative sample. This led, in the change from the WAIS to the HAWIE-R, to practical problems with repeated measurements, as had been noticed in exactly the same way, but better documented, in the change from the HAWIK to the HAWIK-R10) 11)
As set out and justified in the general part of the documentation, TDB2Online does not evaluate or further consider the separately standardized intelligence quotients. Instead, for the areas to be summarized we simply report their mean subtest performance scores or their age-dependent standard scores, in exactly the same metric as for the subtests.
Evaluation of the norming study
The description of the norming study is kept brief in the manual of the HAWIE-R. The sampling followed the specifications of the American licensor and largely corresponded to what was done in the USA for the WAIS-R. Nine age ranges between 16 and 74 years were formed. In the age groups 20-24 and 25-34, 150 men and 150 women each were examined, in all other age ranges 100 men and 100 women each. Within the age ranges, in the sense of a quota sample, a distribution across the three school education groups Hauptschule, Realschule and Gymnasium was aimed for and maintained according to a key corresponding to the 1986 census. In the older groups, therefore, far more Hauptschule graduates were represented than in the younger ones. The survey was conducted “throughout the Federal Republic” (at that time West Germany), without a more detailed description of further sociodemographic variables.
The adequacy of the sample obtained is difficult to judge. There are no other similar studies with the HAWIE-R that could serve as a control. There is only indirect evidence from studies in which the same examinees or patients were given two comparable intelligence tests, namely once the HAWIE and the HAWIE-R (Satzger et al., 1996)12) and another time the WIE and the HAWIE-R (Erzberger & Engel, 2010)13). The main purpose of both studies was to make quite practical statements about the norm equivalence of the respective procedures examined. As a side effect, however, statements can also be made about the differences in the distribution shapes of the standardization studies of the two procedures.
Figure 1: Distribution of the Full Scale IQs of the 88 persons from the study by Satzger et al. (1996) in the HAWIE
Figure 2: Distribution of the Full Scale IQs of the 88 persons from the study by Satzger et al. (1996) in the HAWIE-R
In the HAWIE-R (Figure 2), the study by Satzger et al. (1996) showed a substantially wider spread of the intelligence quotients than in the HAWIE (Figure 1).
Figure 3: Scatter plot of the HAWIE and HAWIE-R Full Scale IQs of the 88 persons from the study by Satzger et al. (1996)
The deviations in distribution shape correspond to the anomalous curve course in the scatter plot in Figure 3. The non-linear deviations from the diagonal in the bivariate distribution can readily be attributed to the different shape of the unimodal distributions.
On the basis of these data it cannot now be said which of the two norming studies (HAWIE or HAWIE-R) was “better” or “more random”. The only evidence suggesting that it was rather the HAWIE-R normative sample that turned out somewhat anomalous (leptokurtic or steep-peaked) is that in the second study mentioned above, comparing the WIE and the HAWIE-R, the (clearly) wider distribution in the HAWIE-R compared with the WIE was likewise found (data in Erzberger & Engel, 2010).14)
These data, however, also include the scaling effects for the global measure Full Scale IQ, which are particularly strong in the HAWIE-R with its low subtest intercorrelations and therefore likewise produce such effects. As long as the adequacy of a normative sample is not shown more reliably by other data than is generally the case, we are at best dependent on such indirect inferences, which unfortunately do not bring much clarity.
Overview of performance norms and age norms for the subtests
The figures in this section summarize the performance norms and age norms of the HAWIE-R subtests as they appear in TDB2Online. Peculiarities are commented on in each case.
IN
Figure 4 shows, in a composite graph, the relationship between raw scores and performance scores as well as the influence of age on the (mean) performance on the Information subtest of the HAWIE-R. On this and all following figures, the vertical lines mark the performance scores from 40 to 145. The raw scores are plotted to scale on the black horizontal line. The alternately red and blue lines contain the norm limits for all age groups in the overview. The five markers on each line stand for the percentile ranks 2.5, 16, 50, 84 and 97.5. One such line, namely the one corresponding to the age group of the examinee, is drawn (in a different form) in the TDB2Online profile sheet to help with the individual interpretation of the test results. Because the performance scores are calculated from the results of the 20-34-year-old young adults, the 5 markers of the age groups 20-24 and 25-34 always enclose the performance scores 70, 85, 100, 115 and 130.
Figure 4: Performance scores on the Information subtest with raw scores and age norm limits (see text)
We see in Figure 4 that the age-associated decline in performance on the verbal tests of the HAWIE-R is not strong. The performance of the 70-74-year-olds is not even a third of a standard deviation below the performance of the young adults.
It can also be seen that the resolution of the subtest in the upper range is not high; here the performance score increases by 15 points (a whole standard deviation, after all) if only two more items are solved (for example 22 instead of 20).
DS
Figure 5: Performance scores on the Digit Span subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
The Digit Span subtest is very good in terms of measurement properties, similar to the WIE. One should note that the age-associated loss of performance is not high on this subtest either. This is frequently not quite in people's awareness, because Digit Span is somehow associated with memory. It has little to do with it.
VC
Figure 6: Performance scores on the Vocabulary subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
In its course across age, the Vocabulary subtest resembles Information down to the details. The resolution is somewhat higher, also in the upper ability range. Vocabulary has always been regarded, with good reason, as the best subtest of the Verbal part.
AR
Figure 7: Performance scores on the Arithmetic subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
The Arithmetic subtest also has poor resolution in the upper ability range; in addition, the highest attainable performance score of 133 (for a raw score of 19) is too low. On Arithmetic, too, the age-associated loss of performance is rather small.
CO
Figure 8: Performance scores on the Comprehension subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
On the Comprehension subtest, the highest mean performance is reached by the 50-year-olds. If one considers only the subpopulation of the lowest 2.5 percent of the distribution, their performance rises continuously with increasing age into the 60s and 70s. Depending on one's standpoint, this may be regarded as a lack of age fairness of the test or as evidence that the subtest measures what it is supposed to measure.
SI
Figure 9: Performance scores on the Similarities subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
The Similarities subtest does not differentiate particularly well in the upper range; the test ceiling lies at a performance score of 136.5 (32 raw points). In the lower ability range, by contrast, the resolution is quite fine.
PC
Figure 10: Performance scores on the Picture Completion subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
The five subtests of the Performance part show more or less pronounced floor effects in the upper age ranges. These are partly due to the task structure of the tests (for example in Picture Arrangement and Object Assembly), but partly also the result of the performance score calculation in combination with the edge-limiting scaling artifacts of the percentile-to-normal transformation. In the WIE, which was included in TDB2Online later, this was solved somewhat better by extrapolations at the margins of the distribution; for the HAWIE-R, renewed work on it is no longer worthwhile. The artifacts can be seen in the combination of high raw score density in the lower range and, at the same time, restricted variance in the lower-performing age groups.
The Picture Completion subtest, too, measures markedly more differentially in the lower ability range than in the upper, where two raw points decide differences in performance of more than one standard deviation. The test ceiling is reached at a performance score of 132 (17 raw points).
PA
Figure 11: Performance scores on the Picture Arrangement subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
The Picture Arrangement subtest differentiates well in the upper ability range and in the middle, but has too few easy items that are also suitable for older people. In older persons, massive floor effects occur. Possibly the time limits are also too rigid for old persons. The scaling of raw points, which are composed partly of speed features and partly of features of solution quality, is probably particularly difficult to master across larger age spans.
Incidentally, some of these problems are solved considerably better in the WIE.
BD
Figure 12: Performance scores on the Block Design subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
Here we refer to what was said about Picture Completion. Otherwise, this version of Block Design lacks the difficult task that was added in the WIE; the rest is good anyway. The age-associated loss of performance is high.
OA
Figure 13: Performance scores on the Object Assembly subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
With only four test tasks, Object Assembly is simply too short. Even though 41 raw points can be obtained arithmetically, their serial independence is certainly violated. Object Assembly is not one of the better subtests and, with good reason, is no longer one of the standard subtests in the WIE.
DSC
Figure 14: Performance scores on the Digit Symbol Coding subtest with raw scores and age norm limits (explanation of the figure in the text for Figure 4)
The massive floor effects already mentioned are present in the older age groups. Otherwise, here too the extended version of the subtest in the WIE is clearly better.
Performance norms and age norms of the IQs
These could still be presented here. In view of the heterogeneity of the subtests included, however, this makes no sense. These global measures can be interpreted only if the individual measures are fairly similar.













