The data to be presented in the following will cover the test results for the entire study population. Space does not allow review of individual case histories, nor of the EEG phenomenology characterizing this population. The average of the WISC-R scores for the study group is shown in Figure 1. It should be noted that the pre-test scores were largely above age-corrected norms (10 on the scale), demonstrating the generally high mental competence of members of the group. Moreover, the average data exhibit minimums for the four subtests of the WISC most closely associated with attentional deficits, namely Arithmetic, Coding, Information and Digit Span (the "ACID" test). Noteworthy increases are observed for each subtest of the WISC. The statistical significance of the results will be addressed below.

Figure 1.Average results of WISC-R testing for study group of fifteen, comparing pre- and post-EEG training.

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The average increases in the WISC-R subtests are shown in Figure 2. Here only those data are considered in which the pre-test score was less than 18 or 19, because the small amount of improvement possible in these cases would skew the data, and because such high pre-scores are in any case not illustrative of attentional deficits or specific learning disabilities. The subtests have been rank-ordered by the amount of the average increase observed. Interestingly, three of the subtests associated with attentional deficits showed very comparable changes: Digit Span (3.2), Coding (2.6), and Information (2.6). The Arithmetic subtest showed much greater improvement (4.7).

Figure 2.Average increases in WISC-R subtest scores for entire group. Pre-scores of 18 and 19 were left out of calculation. Subtests are rank-ordered by the amount of increase observed.

The overall averages given above obscure the dependence on WISC pre-test scores. It is found that the largest improvements occur in those areas which are in most significant deficit. To illustrate this, the data for all subtests with initial values of less than ten are shown in Figure 3. The number of data points comprising each bar is also indicated. The average changes are four units or greater for all subtests except for Mazes and Block Design. Moreover, the ACID test categories are tightly distributed, with gains ranging from 4 units to 5. The average gain for all the data of Figure 3 is 5.1 units.

Figure 3.Average pre-post WISC-R data for all subtest scores in which the pre-test value was less than 10. The number of data points comprising each average is shown.

It is useful also to assess the significance of the data with pre-test scores of less than ten. There are 48 such data points. If, for example the reproducibility of subtest data is taken to be 1.5 units, then there is 97% confidence that three units represents a real change. Even if the reproducibility is assumed to be only 2 units, a 3 unit change may be taken to be significant with more than 80% confidence. Out of the 48 candidate data points, 42 showed changes of three units or more (88%). The distribution in terms of subtests is given in Table 1. Nine of ten subtests show improvements which meet this criterion of significance. The exception is Block Design. All the subtests where deficits are found in at least 30 percent of the study group (Information, Arithmetic, Digit Span, Picture Completion, and Coding) showed highly significant changes.

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Table 1. For all subtests of the WISC-R, and for all cases in which the initial score was less than 10, the number of data points are indicated in which a change of at least three units was observed.

WISC-R Subtest	No. of Significant Gains (3 or more units)
Information	5 of 5
Similarities	3 of 3
Arithmetic	8 of 8
Vocabulary	1 of 1
Comprehension	1 of 1
Digit Span	5 of 5
Picture Completion	5 of 5
Picture Arrangement	4 of 4
Block Design	0 of 3
Object Assembly	3 of 3
Coding	6 of 8
Mazes	2 of 2

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Table 2 shows the three largest increases observed in scores for each subtest. Highly significant increases are observed for every subtest. The largest gains are in fact outside of the range of common experience for other modalities of treating attentional deficits and specific learning disabilities. On seven of the twelve subtests, gains of seven or more units were observed in at least one case.

Table 2
Three largest gains observed in test population for each WISC-R subtest.

WISC-R Subtest	Three Largest Gains Observed
Information	5, 4, 4
Similarities	9, 8, 7
Arithmetic	8, 7, 6
Vocabulary	6, 4, 3
Comprehension	8, 7, 7
Digit Span	7, 7, 7
Picture Completion	10, 7, 7
Picture Arrangement	8, 7, 6
Block Design	5, 4, 3
Object Assembly	6, 5, 4
Coding	7, 6, 4
Mazes	6, 4, 4

It is also of interest to look at those cases in which all four ACID test scores are below norms. Four subjects satisfy this criterion. The average WISC-R results are shown for this subgroup in Figure 4. The individual subtest scores are shown in Figure 5, to indicate the dispersion in the data. With respect to the ACID test categories, we observe a very tight distribution for Information, Arithmetic, and Coding, with a somewhat greater dispersion for Digit Span. Block Design and Object Assembly are also tightly distributed. The observation of a relatively tight distribution for three of the ACID test categories is corroborative of a common mechanism underlying the deficits.

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Figure 4

Figure 4. Average WISC-R profiles for the four subjects for whom all ACID test categories were initially below norms.

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Figure 5

Figure 5. WISC-R subtest score improvements for the four subjects of Figure 4. Observe relatively low dispersion in the data for Information, Arithmetic, Block Design, Object Assembly, and Coding.

WISC-R Verbal, Performance, and Full-Scale IQs
IQ values can be derived from the WISC-R data, from the Verbal and Performance subtasks, and for the combined data set (full-scale IQ). The change in the verbal and performance IQs are shown in Figure 6 for the study population. Most of the subjects showed comparable gains for both verbal and performance IQs. The full-scale IQ changes are given in Table 3 in the order of pre-test IQ. The average IQ increase was 23.5 points. For those individuals whose initial IQ was less than 100, the average gain was 33 points.

Peabody Picture Vocabulary Test
The PPVT was used to augment the WISC-R, since vocabulary is perhaps the best single predictor of IQ. The PPVT evaluates verbal performance without involving word recall. A comparison of the PPVT with the WISC-R in terms of IQ is shown in Figure 7. The results are unfortunately hampered by the age limitations of the two tests, namely 18 in the case of the PPVT and 16.8 years in the case of the WISC-R. Whereas the results show consistent trends in some of the cases, others in fact show decreases in PPVT scores in the retest. We can offer no ready explanation for the divergence in the two tests. Further investigation would be appropriate.

Figure 6

Figure 6.Verbal and Performance IQs derived from WISC-R data are shown pre- and post-training for the study population. In most cases, the changes are comparable in both verbal and spatial ability.

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Table 3.
Full-scale WISC-R IQ changes listed in the order of initial value of measured IQ.

Full-scale WISC-R IQ changes.
Initial Full-Scale IQ	Measured Change
90	+37
91	+33
96	+34
99	+29
103	+35
105	+29
106	+27
111	+24
118	+24
123	+5
126	+22
128	+14
130	+14
139	+19
143	+7
Average: 114	+23.5

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Figure 7

Figure 7.
Comparison of changes in the PPVT and WISC-R IQs. A lack of correlation is indicated for the population as a whole, and a number of Peabody IQ scores actually decreased.

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Wide Range Achievement Test
Ten of the subjects also were given the reading and arithmetic subtests of the WRAT. The results are shown in Figure 8 in terms of changes in reading grade level. As in the case of the PPVT, the results were mixed. Six subjects showed major gains in reading performance, but five of these were reading above grade level at the outset of training. Of the three who were in significant deficit in reading, only one showed gains well in excess of chronological age. On the other hand, significant reading improvements were shown by two of the four individuals referred for dyslexia.

The results of the arithmetic subtest of the WRAT are presented in Figure 9. Improvements in grade level by more than two were shown by four of the ten subjects tested. These had all been in deficit at the outset. On the other hand, two subjects showed significant decreases in score, and one of these had been in deficit. This subject had been in a home-schooling situation, where arithmetic skills may not have been cultivated. The average improvement in grade level for the group was 1.35.

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Figure 8.

Figure 8.
Changes in reading grade level derived from the WRAT are shown for ten of the fifteen subjects.

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Figure 9.

Figure 9.
Changes in arithmetic grade level derived from the WRAT for ten of the fifteen subjects. Five of the ten showed significant changes, and four of these were in deficit at the outset.

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Benton Visual Retention Test
Results for the Benton VRT are shown in Figure 10. In this test, simple geometric figures are drawn from memory after a brief exposure. The number of errors made is shown, along with the number of correct representations. The improvements registered in this test are quite striking. Six of the fourteen subjects improved from a rating of average or below to superior. Six showed lesser gains, and two were rated superior already in the pretest, and did not undergo significant change. The test yields unambiguous evidence that the EEG training can improve short-term visual memory. Combined with the significant gains observed on the WISC digit span test of auditory memory, these test results imply a beneficial effect of EEG training on the mechanisms of short-term memory. Benton Visual Retention Test Results for the Benton VRT are shown in Figure 10. In this test, simple geometric figures are drawn from memory after a brief exposure. The number of errors made is shown, along with the number of correct representations. The improvements registered in this test are quite striking. Six of the fourteen subjects improved from a rating of average or below to superior. Six showed lesser gains, and two were rated superior already in the pretest, and did not undergo significant change. The test yields unambiguous evidence that the EEG training can improve short-term visual memory. Combined with the significant gains observed on the WISC digit span test of auditory memory, these test results imply a beneficial effect of EEG training on the mechanisms of short-term memory.

Harris Tests of Lateral Dominance--Tapping Subtest
The Tapping Subtest was used to determine shifts in handedness, and as a test of changes in eye-hand coordination. The test compares right and left hand performance in a timed challenge in which pencil dots must be placed in rows of boxes. Dominance is defined as right or left if the scores differ by 20 % or more. (To remain close to the data, we will refer to handedness, rather than cortical dominance) Seven of the fifteen subjects significantly improved their score, three by more than 100%. Of the 28 data points in the test (only 14 subjects were given the tapping test), 25 showed an increase. The three decreases were related to left-hand performance, and resulted in these subjects shifting from mixed to right- handedness. The average increase in score was 40%, heavily weighted by the three individuals who underwent very large changes. The median improvement was 20%.

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Figure 10

Figure 10.
Results of the Benton VRT are shown in terms of both the number of errors (to the left) and number of items correct (to the right) both before and after training, for fourteen of the fifteen subjects.

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The changes in right/left ratio are illustrated in Figure 11. A depletion in the distribution is observed in the mixed-dominance region around unity ratio. The distribution also tightens up for right-handers, and a peak is seen for what may be either intrinsic left-handers or ones where the deficit has not been remediated. The median ratio was found to be 1.20 before training, and 1.30 after. Six of the 14 individuals who did not meet the criterion for right-hand dominance before training met the criterion after training. This is a highly significant finding, indicating an influence of the training on hemispheric organization.

The tendency of the training to enhance right handedness may be explained on the theory that most individuals, perhaps as many as 95% (Hepper, 1990), are intrinsically right-handed, and that injury such as birth trauma leads to compensations in terms of mixed dominance or left-handedness. Birth trauma affects each hemisphere with equal probability. The net effect, then, is a shift toward left handedness. As this deficit in cortical organization is remediated, the "native" right handedness may be restored.

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Figure 11

Figure 11.
Results of the Tapping Subtest of the Harris Tests of Lateral Dominance, in terms of the ratio of right and left-hand performance both before and after training.

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Follow-up
Follow-up was conducted with parents more than one year after the initiation of EEG training for the study. Questions were asked with respect to a number of categories. Results were scored +1 in case of significant improvement; a score of +2 was given for "major" improvement; and a negative score of one was given for residual problem areas. Sometimes both positive and negative scores were appropriate. The results are shown graphically in Figure 12, where the categories were divided into two groups. In the first grouping are those categories where either significant benefit was seen or few residual problems remain. In the second grouping, we placed those categories where problems remain.

The first category includes those areas in which improvement was expected, such as hyperactivity, concentration, and sleep disorders, and some surprises, such as headache syndromes. Ranked first was self-esteem. It was quite evident that the children benefited in terms of self-esteem from the fact that the EEG biofeedback training was something they did for themselves. They unambiguously related their progress to their own effort. However, the dominant influence on self-esteem was clearly the objective fact that they were now more functional, their sibling and peer relationships were improved, and their interactions with authority figures, parents and teachers, were better. The category of school grades was affected by the fact that four of the subjects were in ungraded environments. Significantly, grades remained a problem with only one child. The three cases of nocturnal enuresis responded to the training, as did the single case of obvious motor tics.

The second category includes some of the behavioral categories, as well as areas of academic performance. First of all, we note with satisfaction that a lasting impact of the training on behavioral disorders is indicated. On the other hand, significant problems remain. We ascribe this to four factors. First, it is unlikely that the typical 30-40 training sessions are sufficient to deal with behavioral disorders, although they appear to be sufficient to remediate cognitive deficits. Second, a higher standard is undoubtedly applied by parents: whereas they may be pleased that the child is now reading better, when it comes to temper tantrums, success means their complete elimination, not a 70% improvement in incidence. Third, parental expectations tend to ratchet up with improvements in the child's behavior, a matter sometimes forcefully brought to our attention by the child himself. And finally, behavioral disorders are usually complicated by psychological factors which take time, and possibly other modalities, to resolve. With regard to academic categories, it is likely that more time must elapse (or educational therapy undertaken) before children show the full benefit academically of their new cognitive skills.

Figure 12

Figure 12.
Results of followup with parents on year after the initiation of training. Positive scores indicate areas of significant improvement (+1) or major improvement (+2). Residual problem areas garner a score of -1.