CHAPTER III. THE PERCENTAGE DEFINITION OF INTELLECTUAL DEFICIENCY

A. THE DEFINITION.

In order to direct attention to the quantitative description of

intellectual deficiency which is here proposed, let us state the

percentage definition in its most general form. _Individuals whose

mental development tests in the lowest X per cent. of the population

are_ PRESUMABLY INTELLECTUALLY DEFICIENT, _unless their deficiency is

caused by removable handicaps_. Above these is a group of Y per cent.

within which the diagnosis of intellectual deficiency is uncertain on

the basis of our present tests. The size of the presumably deficient X

group is to be determined by the number of intellectually weak which

society is at present justified in indefinitely isolating. The

doubtfully deficient Y group should include all those who are so

intellectually deficient as to be expected to need assistance

indefinitely. _The feeble-minded, or_ MENTALLY DEFICIENT, _are those who

require social care indefinitely because of deficiency in mental

development_. They include the X group, that portion of the doubtful Y

group which is found to require isolation, guardianship or social

assistance, and any others not detected by the tests but requiring

prolonged social care on account of their failure to develop mentally.

Under the principle which we stated at the close of the last section the

combination of Y ability and persistent serious delinquency brings the

case within the group presumed to be feeble-minded.

Besides the greater definiteness and significance of such a definition

of intellectual deficiency, it affords the simplest practical criterion

for determining the borderline of passable intellects with a scale of

mental tests. A detailed comparison of the percentage plan with other

forms of quantitative definition will be found in Part Two. We may note

here, however, that it guards against a number of the absurdities of

current descriptions of the borderline with measuring scales. It is a

criterion which may be consistently applied to the borderline of both

the immature and the mature. It may be adapted with comparative ease to

any system of tests. It aids in comparing the frequency of intellectual

deficiency among different groups, for example, among different types of

delinquents, regardless of whether the investigators have used the same

series of tests, provided only that each series has been standardized

for similar random groups.

Any form of quantitative definition, on the other hand, involves certain

assumptions which must be defended before it can claim to be of

advantage for practical purposes.

B. THE ASSUMPTIONS OF A QUANTITATIVE DEFINITION.

(a) DEFICIENCY IS A DIFFERENCE IN DEGREE NOT IN KIND.

Fortunately the tendency to describe the feeble-minded person as if he

were a different species from the normal has been definitely attacked by

two noteworthy researches, that of Norsworthy (_159_) and that of

Pearson and Jaederholm (_164_) (_167_). In these two investigations

mentally deficient children either in special classes or in institutions

have been compared with groups of normal children from the same

localities on the basis of objective tests. The results are uniformly

supported by numerous other studies of deficient and normal groups with

the Binet and other tests. The conclusion is, therefore, thoroughly

established that there is no break in the continuity of mental ability.

It grades off gradually from average ability, and continually fewer and

fewer individuals are to be found at each lower degree of ability. The

borderline of deficiency will, therefore, not be a mental condition

which clearly separates different kinds of ability, but a limiting

degree of capacity to be decided upon by social policy in attempting to

care for those who most need social guardianship. Since ability changes

gradually in degree it is necessary to indicate a doubtful border region

of degrees of ability on which expert judgment must supplement the test

diagnosis. Below the doubtful region the diagnosis is clearly supported

by objective test criteria, so that the only question to raise is

whether the condition is caused by removable handicaps. The percentage

definition thus strictly conforms to the best objective studies of

mental deficiency in treating deficiency as a difference in degree.

It should, perhaps, be said that this view is in direct conflict with

the opinion that mental deficiency is accounted for as a Mendelian

_simple unit_ character. The opposing view has been advocated by

Davenport (_95_, p. 310) and others in the publications of the Eugenics

Record Office, and accepted by Goddard (_112_, p. 556). It has been so

fully answered by Pearson (_164_) and Heron of the Galton Laboratory

(_127_) and by Thorndike (_198_) that there is no occasion to take up

the question in detail. We seem to be reaching an understanding so far

as our present problem is concerned. If the explanation of the

inheritance of mental ability is through Mendelian characters,

nevertheless intellectual ability is the result of such a complex

combination of units that it may best be thought of in connection with

the unimodal distribution of ability adopted in this study. No random

measurement of mental ability has ever shown any other form of

distribution.

The attempt has also been made by Schmidt (_179_) to find qualitative

differences between normal and feeble-minded children by means of tests,

and by Louise and George Ordahl (_162_) to find qualitative differences

between levels of intelligence among feeble-minded children. While these

studies are very suggestive in pointing out the tests which most clearly

indicate differences between individuals, they seem to me to fall far

short of showing that the qualitative distinctions are anything more

than larger quantitative distinctions. It is not clear that the authors

intended them to mean anything more than this, so these studies do not

seem to conflict seriously with our assumption that intellectual ability

grades off gradually and uninterruptedly from medium ability to that of

the lowest idiot.

(b) AS TO THE VARIATION IN THE FREQUENCY OF DEFICIENCY AT DIFFERENT

AGES.

A quantitative definition of intellectual deficiency would certainly be

much simpler if it could be assumed that the percentage of deficients at

each age is practically constant during the time when a diagnosis of

deficiency is most important, say from 5 to 25 years. Otherwise the

objection might be raised that it is impracticable to determine

different percentages for each year of immaturity or to formulate our

borderlines of ability for a particular age. When the general

instinctive origin of intellectual deficiency is considered along with

the incurability of the condition, we seem to be theoretically justified

in assuming that the variation will be slight from one year of life to

the next. This assumption is tacitly made by all those who use Stern's

quantitative description of deficiency in terms of the mental quotient.

On the other hand, there is a feeling among some of the investigators

that there is a sudden influx of feeble-minded at particular ages and

this position should be examined. Probably more important than this

possibility of increase is the question of a decrease in frequency with

age on account of the excessive death rate among the deficients.

It is a natural supposition that there is a sudden increase in the

proportion of feeble-minded at adolescence. On account of the increased

rate of growth at this period we might expect to find greater

instability for a few years. It may well be that there is a rather

sudden influx of the unstable type of feeble-mindedness at this period.

Such an increase may occur without being detected by a series of brief

intellectual tests such as the Binet scale. It would be of the conative

type of feeble-mindedness that cannot at present be diagnosed by

objective tests, the type that requires diagnosis by expert opinion. It

is to be noted, however, that Binet, who paid much attention to the

unstable type, says: “Since the ill-balanced are so numerous at ten

years of age, and even at eight, we conclude that in many cases the

mental instability is not the result of the perturbation which precedes

puberty. This physiological explanation is not of such general

application as is sometimes supposed” (_77_, p. 18).

Only when an emotional disturbance is so great as to be detectable by

mental tests will this influx need to be taken into consideration in

stating the borderline for objective tests. The evidence that few cases

of feeble-mindedness are not detectable until after ten years of age is

all the other way. With the Stanford measuring scale, Terman and his

co-workers did not even find a noticeable increase in the variability of

the groups at the ages of adolescence (_57_, p. 555). It is to be

remembered also that we are not concerned here with mere instability

which corrects itself with more maturity, such as has been described by

Bronner among delinquents. This does not, of course, amount to an

incurable conative deficiency and is not classified under

feeble-mindedness.

Goddard has suggested that possibly the moral imbecile group comes into

our class of feeble-minded suddenly with a common arrest of development

at about the stage reached by the nine-year-old. He notes that “of the

twenty-three cases of this sort picked out for us (at Vineland) by the

head of the school department, fifteen are in the nine-year-old group,

five in the ten-year-old, two in the eleven, and one in the twelve”

(_113_). He regards this evidence, however, as meager and only

suggestive. Doll has given evidence of late appearance of retardation in

rare cases (_100_ and _99_).

It is to be noted that if a sudden change is found in the percentage of

children falling below a certain test standard it is perhaps more likely

to mean that there is a change in the difficulty of the tests at that

point. For example our Table V shows 1.3% of the nine-year-olds test two

or more years retarded, while 18.9% of the ten-year-olds are retarded

two years or more. This presumably indicates a change in the relative

difficulty of the tests for VII and VIII rather than a change in the

frequency of retardation at ages nine and ten. When we turn to Goddard's

norms for VII and VIII we find that 81% of the seven-year-old children

pass the norm for VII while only 56% of the eight-year-old children pass

the norm for VIII.

The Jaederholm data (_167_) obtained by applying the Binet tests to

pupils in the regular school classes and in special classes for the

retarded may suggest a possible influx of intellectual deficiency at

about 12 years of age or else “more mental stagnation in the

intellectually defective” at this life-age and after. If one were to

define intellectual deficiency in terms of the standard deviation of the

regular school children, this data suggests that there is a marked

increase in the number of children sent to the special classes at 12

years of age who are -4 S. D. or lower. Roughly speaking it amounts to

36 children at 12 years of age, 36 at 13, and 21 at 14, as compared with

11 at 11 years and 13 at 10 years. On the other hand, this may as well

mean that intellectual deficiency becomes greater in degree rather than

in frequency at these ages. The latter interpretation is adopted by

Pearson for the Jaederholm data, so that it is perhaps not necessary to

consider this evidence further. On the average the pupils in the special

classes fall about .3 S. D. months further behind regular school

children with each added year of life from 5 to 14 inclusive. A third

possible interpretation of the greater number showing the degree of

deficiency measured by -4 S. D. with the older ages should be mentioned.

It is possible that 1 S. D. has not the same significance for

5-year-olds as for 12-year-olds. The distribution of abilities at

succeeding ages may be progressively more and more skewed in the

direction of deficiency. We shall return to this point in Part Two as

showing the advantage of the percentage definition over a definition in

terms of the deviation. In connection with the Jaederholm data on

special classes one should also consider the fact that younger children

are not as likely to be detected by the teachers and sent to the special

classes. It is possible also that the difference in difficulty of the

tests for different age groups is somewhat obscured by using a year of

excess or deficiency as a constant unit as Pearson has in treating this

data. The bearing of this difference in difficulty was pointed out above

for Goddard's data.

The investigations by Pearson of children in the regular school classes

indicate that there is no important shift with maturity in the frequency

of those with different degrees of ability, when the ability is measured

either in terms of years of excess or deficiency with the Jaederholm

form of the Binet scale or in terms of estimates of ability relative to

children of the same age (_166_ and _167_). In both these studies the

correlation of ability with age was shown to be almost zero. For tested

ability for 261 school children “r” was .0105, P. E. .0417; with the

estimated ability, the correlation ratios were for 2389 boys, .054, P.

E. .014; for 2249 girls, .081, P. E. .014. Until we have better data

this is certainly the most authoritative quantitative answer to the

question of the shift with age in the frequency of the same relative

degree of mental capacity.

The best method of empirically settling this question of the early

appearance and constancy of deficiency would be to test the same group

of children again after they had reached maturity and find out how many

of those who tested in the lowest X per cent. still remained in the same

relative position. This is, of course, not possible at present, but it

certainly should be done before we are dogmatic as to the permanent

isolation of the lowest X percentage at any age. The nearest approach to

this sort of evidence is Goddard's three annual testings of a group of

346 feeble-minded children with the Binet scale (_117_, p. 121-131).

Among these 109 showed no variation, 123 gained or lost 0.1 or 0.2 year,

18 lost 0.3 or more, and only 96 gained 0.3 or more of a year. With so

small a change in absolute tested ability the probability of a change in

position relative to normal children seems to be slight. Only one of the

76 who had tested in the idiot group gained as much as a half year in

tested age in three years.

It is not possible to settle this question of the constancy of the

percentage of intellectual deficiency from one life-age to the next by

considering the frequency of different ages of children among those who

are sent to special classes for retarded pupils. This is evident from

the fact that these classes contain a considerable proportion of those

who are feeble mentally mainly because of conative disturbances. These

would not be detected by our present tests and would not be classed as

_intellectually deficient_. In the second place the pupils for the

special classes are usually selected mainly on the advice of their

teachers, who cannot, of course, without tests select those who are

intellectually deficient except by trying them for a number of years in

the regular school classes. This means that a smaller percentage of

pupils in the special classes at the younger ages is to be expected.

The figures of the U.S. Census as to the ages of inmates of the

institutions for feeble-minded are also of little significance in

connection with the question of the variation from age to age. That the

number of inmates at the different ages is affected most largely by the

pressure of necessity for shifting the care from their homes to the

institution is shown by the fact that three-fourths of the admissions

are of persons over 10 years of age. It is also indicated by the fact

that for the period from 15 to 19 the males are over 20% more frequent

than females, while from 30-34 the females are nearly 20% more frequent.

Considering those ages most frequently represented in the institutions,

10-24 years, the average variation for the three five-year periods in

the percentage of the population of the corresponding ages who are in

these institutions is only 0.01%. The middle five-year period has the

most, but even if there were a cumulation of feeble-mindedness with age,

which is not shown, we would anticipate a change of not more than 0.05%

for these 15 years. This would be clearly negligible in considering the

general problem.

That little allowance for the variation from age to age need be made for

the number of cases not discoverable at the beginning of school life is

further indicated by report of the Minnesota State School for

Feeble-Minded. It shows that in only 247 out of its 3040 admissions was

the mental deficiency known to commence after six years of age (_154_).

If the number of feeble-minded who should be isolated were found to

increase after school age less than one in 10,000 of the population, as

this suggests, it would surely be better to neglect this variation from

age to age than to emphasize it in dealing with the problem of objective

diagnosis and social welfare.

How rare is the onset of feeble-mindedness after five years of age is

also shown by the frequency of hereditary causes. In his study of the

300 families represented at Vineland, Goddard places only 19% in his

“accidental” group and 2.6% in the group for which the causes are

unassigned. The rest are either in the hereditary group, probably

hereditary, or with neurotic heredity. Half of the cases in the

“accidental” group are due to meningitis. His histories show that only 9

of the “accidental” and unassigned groups were unknown at 5 years of

age. This is only 3% of his total feeble-minded group. To these might be

added, perhaps, a few from the hereditary groups who did not show their

feeble-mindedness at so early an age, but so far as I can judge these

would not be of the intellectually deficient type that would be

detectable by the Binet scale at any age. They would test high enough

intellectually to pass socially and require expert diagnosis to be

classed as feeble-minded.

Certain diseases, epilepsy and meningitis, are undoubtedly causes of

feeble-mindedness. The evidence, however, seems to be that they are so

rare compared with the mass of mental deficiency that after 5 years they

may well be offset by the excessive death rate among the feeble-minded.

That recoveries from feeble-mindedness are insignificant is generally

agreed. Among the 20,000 in institutions in 1910 only 55 were returned

to the custody of themselves. This is further evidence of the

fundamental, if not congenital, nature of the deficiency.

While the evidence submitted above makes it seem fair to assume that the

increase in the frequency of a certain degree of intellectual deficiency

with age is probably negligible, it is not clear that the decrease with

age in the proportion of feeble-minded caused by an excessive death rate

may be neglected even for the test ages 5 to 25. By searching the

literature it has been possible to assemble the records for nearly 3500

deaths among the feeble-minded in institutions in this country and Great

Britain distributed by ages in ten-year periods. This evidence is

presented in Table I. The number of cases under five years of age living

in the institutions is so small that the deaths under five years are

certainly misleading. They have, therefore, been omitted from the table

and the distribution calculated for those five years or over (_123_,

_154_, _204_, _205_). Comparison is made with a similar distribution of

the total deaths for a period of five years from 1901 to 1904,

inclusive, within the area of the United States in which deaths are

registered, compiled from the special mortality report of the Bureau of

the Census (_206_). This registration area has a population of about

32,000,000. The general agreement of the distribution of deaths among

the four different groups of institutional inmates seems to make it

reasonable to assume that the United States group of institutional

deaths for the year 1910 is a conservative description of excessive

death frequency at the early ages among the feeble-minded in

institutions.

TABLE I. _Age Distribution of Deaths in the General Population and Among

Feeble-Minded in Institutions._

────────────┬──────────┬───────────────────────────────────────────────

│Population│ Ages

────────────┼──────────┼───────┬───────┬───────┬───────┬───────┬───────

│ │ 5-14 │ 15-24 │ 25-34 │ 35-44 │ 45-54 │ 55 &

│ │ │ │ │ │ │ over

────────────┼──────────┼───────┼───────┼───────┼───────┼───────┼───────

Gen'l—U. S. │ 1,897,492│ 6.1% │ 9.6% │ 12.8% │ 13.0% │ 13.6% │ 44.9%

in death │ │ │ │ │ │ │

registration│ │ │ │ │ │ │

area │ │ │ │ │ │ │

────────────┼──────────┼───────┼───────┼───────┼───────┼───────┼───────

F. M. 1910 │ 840│ 26.6 │ 33.0 │ 18.9 │ 9.1 │ 45 & │

in │ │ │ │ │ │ over │

Institut'ns │ │ │ │ │ │ 12.3 │

in U. S. │ │ │ │ │ │ │

────────────┼──────────┼───────┼───────┼───────┼───────┼───────┼───────

F. M. │ 997│ 34.3 │ 41.1 │ 10.4 │ 6.5 │ 3.5 │ 55 &

British │ │ │ │ │ │ │ over

(Earlswood) │ │ │ │ │ │ │ 4.2

────────────┼──────────┼───────┼───────┼───────┼───────┼───────┼───────

F. M. │ 613│ 34.7 │ 46.8 │ 9.5 │ │ 35 & │

British │ │ │ │ │ │ over │

(Barr) │ │ │ │ │ │ 9.0 │

────────────┼──────────┼───────┼───────┼───────┼───────┼───────┼───────

F. M. │ 982│ 27.6 │ 38.0 │ 16.1 │ 8.6 │ 3.5 │ 55 &

Faribault │ │ │ │ │ │ │ over

Minnesota │ │ │ │ │ │ │ 6.2

────────────┴──────────┴───────┴───────┴───────┴───────┴───────┴───────

TABLE II. _Mortality of Institutional Deficients in the United States

Compared with the General Population, Showing its Possible Effect on the

Frequency of Deficiency at Different Ages._

Ages

───────────────────────────────┬────┬────┬────┬────┬────┬────┬────┬────

│ 5 │ 10 │ 15 │ 20 │ 25 │ 30 │ 35 │ 40

───────────────────────────────┼────┼────┼────┼────┼────┼────┼────┼────

General population │1000│983 │972 │956 │934 │903 │872 │835

───────────────────────────────┼────┼────┼────┼────┼────┼────┼────┼────

Deficients in Institut'ns │1000│795 │696 │606 │503 │428 │349 │290

───────────────────────────────┼────┼────┼────┼────┼────┼────┼────┼────

│ │ │ │ │ │ │ │

Per cent. deficient if 1% at │1.40│1.11│1.00│ │.75 │ │ │

age 15 │ │ │ │ │ │ │ │

───────────────────────────────┴────┴────┴────┴────┴────┴────┴────┴────

[Illustration: FIG. 1. _Mortality among Feeble-Minded in Institutions

Compared With the General Population_]

A comparison of the death rates of the feeble-minded and the general

population at different ages is of prime importance in connection with

all attempts at quantitative descriptions of deficiency. Heretofore this

has been completely neglected. Fig. 1 and Table II have been prepared to

provide a roughly adequate estimate, on the basis of the above data for

the United States, as to the survival of 1000 institutional cases of

feeble-minded 5 years of age for successive age periods compared with

1000 people in the general population. In constructing this table it was

necessary to assume, since the facts were not given, that the age

distribution in the registration area of the general population was the

same as for the United States as a whole (census of 1910) and that the

number of feeble-minded in the institutions at the various age periods

was equal to the number enumerated on the first of January plus the

admissions during the year 1910, disregarding the number discharged

since they are not distributed by ages. The average annual death rate

among the institutional cases of feeble-minded 5 years of age and over

in the United States in 1910 was 35.19 per thousand, while the

corresponding death rate in the general population of the registration

area for the five years 1901-1904 inclusive was 13.56. Assuming that the

death rates are uniform within the five-year periods, the decline in the

proportion of institutional feeble-minded from 5-25 years of age as the

result of excessive mortality is indicated by the last line in Table II,

after allowing for the mortality in the general population. That this

effect of excessive mortality upon the percentage of feeble-minded

cannot be neglected between 5 and 25 years of age is apparent unless the

mortality among institutional cases is much greater than it is among the

deficient generally. As the figures stand the proportion of

feeble-minded would be reduced nearly one-half between ages 5 and 25.

Only a small part of this reduction probably would be compensated for by

new cases developing from accident or disease. On the other hand there

is little doubt that the institutions contain an excessive proportion of

low grade cases among whom the mortality is much greater. The mortality

among institutional cases is, therefore, probably not typical of that

among the feeble-minded generally. Nevertheless it is so great that any

quantitative definition of deficiency which neglects it entirely is open

to serious objection. We shall, therefore, keep this variation in mind

in connection with the discussion in the next chapter of the percentage

which is deficient, and in the adaptation of the definition to a

measuring scale. It is clear that the percentage should be so chosen as

to allow best for the possible large effect of excessive mortality among

the deficients. Finally, it should be said that the percentage

definition of feeble-mindedness might be modified to meet a varying

percentage from age to age should that ever become desirable.

(c) AS TO THE NUMBER OF DEFICIENTS NOT DETECTED BY TESTS.

If most of the feeble-minded for whom society should provide were of the

type which is only conative and not detectable by our present objective

tests, a quantitative definition would be abortive. We must, therefore,

study our assumption that it is worth while to direct our attention to

those who are intellectually deficient. We shall attempt to discover how

frequent are the primarily conative types.

Before examining the quantitative evidence we may note that it is in

conformity with two prominent recent tendencies in psychology to

subordinate specialized abilities, as compared with abilities which

function commonly in many situations. The first of these tendencies is

represented by the fundamental researches of Hart and Spearman (_123_)

(_185_). This is not the place to set forth the technical work on which

their conclusions are based. It may be said, however, that, with 17

different psychological tests, they were unable to discover any

important specific mental weakness which distinguished adults who were

suffering with any one of various mental abnormalities, including

imbecility, manic-depressive insanity, dementia praecox, paranoia, and

general paralysis of the insane. This may have been the fault of the

tests, but it seems to be more likely that the fault lies in the custom

of emphasizing special abilities and disabilities, at least from the

point of view of tested capacities. On the other hand, all of these

mental abnormalities showed a weakness in general intellectual ability.

This is true whether this general ability be regarded, as it is by Hart

and Spearman, as due to a general fund of brain energy, or whether

general ability be taken to refer to the common recurrence of many

specific abilities in much of our mental life. Its significance for this

study is that a series of varied tests, such as that of Binet, may be

expected to give a good estimate of general ability, and its failure to

disclose specific disabilities is thus less important.

The second influence in psychology tending to emphasize average tested

ability is the establishment of the biological conception of the mind

which recognizes the mutual interdependence of the mental processes,

organically united through the activity of the brain. So long as

intellectual, emotional and volitional processes are all mutually

dependent, a disturbance of one aspect of mental life is bound to affect

the others. In considering the mutual dependence of the mental

processes, it is important to weigh carefully the striking examples

which Bronner[4] has brought together, illustrating special abilities

and disabilities. She has made an admirable start toward a differential

diagnosis of special defects in number work, language ability and other

mental activities. The degree of special deficiency which results in

social failure could be placed upon an objective basis, but the rarity

of special deficiencies as compared with general deficiency will make

this a slow task. In the meantime we may rely upon the mutual dependence

of the organic processes as a point of view which emphasizes the common

spread of deficiency to many activities. Knowledge of a single case of

specific disability is sufficient to make us recognize that such cases

do occur. On account of the rarity of those cases and the absence of

objective criteria, it seems necessary to leave the further

differentiation to the future, considering here only those cases which

may be grouped together as conative, as contrasted with those detected

by our general intellectual tests.

Whether the group of primarily conative cases is of any considerable

size can be only very roughly estimated at present, since the diagnosis

of such cases of feeble-mindedness rests at present almost exclusively

on the subjective opinion of the examiner. Before their diagnosis is put

upon an objective basis we must have a different form of test directed

at such traits of will as initiative, perseverance, stability and

self-control. These probably center on the mental side around the

instinctive emotional background of interest and the passions, while, on

the physical side, they raise the question whether the subject's energy

is adequate to endure the strain of competition or whether it shows

itself only in sudden bursts.

If the diagnosis of conative cases could be determined objectively, it

is possible that most forms of social unfitness would be found highly

correlated with intellectual deficiency. On the other hand, when the

diagnosis of unfitness for school or social life depends merely upon the

opinion of experts or teachers, the inaccuracy of the diagnosis may show

a wide discrepancy between the so-called conative and intellectual types

of deficiency. Binet, on the basis of his acquaintance with the pupils

in special classes, suggested that the number of unstable children is

probably equal to the number of those who are intellectually unsuited

for the ordinary schools or institutions (_77_). Since he then places

the total number of the two classes at four or five per cent., it is

apparent that he is discussing a higher type of ability than is usually

included under the term feeble-minded. We can get somewhat better

evidence on this question by studying the results of Binet tests applied

to children cared for in special classes or in institutions for the

feeble-minded. Chotzen (90) presents a table of 280 children in the

_Hilfsschule_ in Breslau, only 201 of whom, however, he himself

diagnosed as feeble-minded, _i. e._, _debile_ or lower. Of these only 51

were intellectually deficient as indicated by the Binet tests when we

include the doubtful cases according to the criteria we have adopted in

this study. If we suppose that, in addition to those in the special

classes, there would be one intellectually deficient child in an

institution for feeble-minded for every child testing deficient, we

would then guess that only 40% of the feeble-minded children in Breslau

were intellectually deficient. This sort of estimate seems to agree with

Binet's belief that half of the children requiring special care, at

least during school ages, are cases which are primarily conative.

Pearson has approached the same problem in another way (_164_) (_167_).

He has used the results of the psychological tests applied by Norsworthy

to children in New York in special classes and institutions for

feeble-minded compared with those in the regular school classes, and the

results of Jaederholm obtained with the Binet tests applied to 301

children in Stockholm in the special classes compared with 261 others

selected from the regular classes. He found that “70.5% of normal

children fall into the range of intelligence of the so-called mentally

defective; and 60.5% of so-called mentally defective children have an

intelligence comparable with that of some normal children” (_167_, p.

23). On the statistical assumption that those in the normal classes

would distribute according to the Gaussian normal probability curve he

estimates that, with the Binet tests, among those in the special classes

“10% to 20%, or those from 4 to 4.5 years and beyond of mental defect,

could not be matched at all from 27,000 children” (_164_, p. 46).

Another 20 to 30% could be intellectually matched by those in the

regular classes having from 3 to 4.5 years of mental deficiency, but

they would be matched very rarely. On the assumption that 1% of the

children were feeble-minded, not more than about two children in a

thousand of this regular school population would be expected to be 3 or

more years retarded and thus overlap those of like deficiency in the

special classes (_167_, p. 30). Considering the results of Norsworthy's

study he says on similar assumptions: “It seems, therefore, that a

carefully planned psychological test, while not sufficing to

differentiate 50 to 60% of the mentally defective from the normal child,

would suffice to differentiate 40 to 50%” (_164_, p. 35). Again we come

back to the estimate that psychological tests may well be expected to

select nearly half of the children at present found in special classes

for retarded pupils. Moreover, a considerable part of the overlapping of

intellectual deficiency in the regular classes with that in the special

classes which he found may be accounted for by the inadequate methods of

selection of pupils for the special classes by teachers or examiners who

have used no objective tests. Some who were left in the regular classes

should undoubtedly have been transferred to special classes and vice

versa. There seems to be nothing to indicate that less than half of

those properly sent to special classes would be of clear or doubtful

intellectual deficiency. If the tests served to select even a smaller

proportion of those assigned to special instruction, the “school

inefficients” as Pearson calls them, their value as an aid to diagnosis

would be demonstrated.

Among groups of delinquents, where we would expect the purely conative

cases to be more common, we find that a careful diagnosis of

feeble-mindedness on the basis of test data, medical examination and

case history indicates that conative cases without serious intellectual

deficiency are much rarer than intellectually deficient delinquents. At

least this is the evidence of one study where such information is

available. Kohs at the Chicago House of Correction found among 219 cases

over 16 years of age, which he diagnosed as feeble-minded, only 28

tested XI and there were only 52 who did not test either presumably

deficient or uncertain intellectually according to our criterion.

Another bit of evidence is that collected at the Clearing House for

Mental Defectives in connection with the New York Post-Graduate School

of Medicine, where 200 consecutive cases (108 males) were examined by

Miss Hinckley. Her graphs show that only 15% tested X or above with the

Binet revised scale, _i. e._, above those presumably deficient in

intellect. The cases were from 13 to 42 years of age. The clearing house

provides an opportunity for social workers to have suspected deficients

examined and the few cases over X seems to indicate that the purely

conative type is not very commonly met with among the social workers.

When we turn to the institutions for the feeble-minded we find that they

are today caring for few solely conative cases. Although I can find no

tables which give both the life ages and mental ages of the individual

inmates, we can at least be sure that few test so high as X, or above

with the Binet scale. This means that only a few have as yet reached the

threshold for passable adult intellects, which should be attained by 15

years of age. At the Minnesota state institution for the feeble-minded

in Faribault among 1266 inmates, excluding epileptics, 41 tested X; 28,

XI; 12, XII; and 8, XIII, a total of 7% (_154_). At Vineland, N. J.,

Goddard reported among 382 inmates, 14 tested X; 5, XI; and 7, XII,

about 7%. Some of the children who were under 15 in life-age might later

develop above the limit for intellectual deficiency. Of the 1266 at the

Minnesota institution, however, 508 were 15 or over at the time of their

admission, so that at least 82% of the 508 were clearly intellectually

deficient. Eight per cent. more tested X and were in the doubtful group

in intellectual ability according to the criteria we have adopted. This

suggests that not more than about 10% of those who are at present

isolated in institutions are there for feebleness of will alone. It

seems to confirm our presumption that the intellectually deficient

discovered by tests form the great majority of the social deficients who

need prolonged care or assistance.

(d) ALLOWANCE MAY BE MADE FOR VARIABILITY.

The quantitative definition of intellectual deficiency must be made with

careful allowance for irregularities among different mental processes,

among different individuals, and among different groups. Theoretically

it is possible to place the borderline so low that a case with that

degree of deficiency and without removable handicaps would be clearly

feeble-minded. The chance that the diagnosis would be mistaken could be

reduced to any minimum desired. Above this a wider region of doubtful

deficiency could then be stated in similar form. This is the plan that

we suggest in attempting the percentage definition. Practically,

however, the plan assumes that a suitable allowance can actually be made

for these variations and raises a number of problems as to variability

which should be considered. Four of these sources of variation are

discussed below: (1) the variation due to a limited sample of

individuals measured, (2) the variation among different communities, (3)

the variations arising from sex, race and social differences, (4) the

variation of the same individual from one mental process to another. We

do not have the problem of neglecting these variations, but of

adequately allowing for them both in the percentage of presumably

deficient and in the doubtful region.

(1) _Variation among Samples of Individuals Measured._ The error

introduced by the fact that measurements are made on a limited rather

than an unlimited number of individuals, in establishing the standards

with a system of tests, can be taken care of statistically fairly well

by applying the theory of probability as to the error of a percentage in

a single sample. The range of the error can then be indicated on the

measurement scale. This supposes, however, that each sample to be

measured is taken from a random group and not from a selected group.

Allowance for this error of sampling is therefore complicated by the

fact that the usual test data have been obtained from groups of _school

children_, even when there has been no further selection within the

school group. Data on school children are certainly reliable only within

the years of compulsory school attendance. Ordinarily in this country,

they are not reliable for children of 14 years of age or over. Moreover,

the point of the scale which is reached by the lowest X percentage of

school pupils will exclude a slightly larger percentage of all children

of corresponding ages, since the idiots and some imbeciles are not sent

to the ordinary schools. This slight discrepancy should be kept in mind.

The problem of avoiding selected samples among adults is still more

difficult; but we found that it was possible in one community at least

to measure all the 15-year-olds in the lowest X percentage in certain

districts, as we shall note later. By this age, mental processes are

probably very much like those of adults, except for the amount of

information and practise.

(2) _Variation among Different Communities._ Under any conception of

deficiency it is clear that there are relatively more deficients in some

communities than others. The percentage should, of course, not be

determined for a small community such as a city or county, but for a

state or a nation in order to avoid the difficulty of the difference

between communities. It would not interfere with the plan for isolating

the lowest X percentage of a state even if that meant isolating 10% in

one small community and none in another. Indeed, it might be expected to

do just that, when one considers the accumulation of deficiency in

certain settlements such as Key has shown (_131_, p. 63). The data on

which the borderline with a measuring scale would be established should,

of course, not be obtained from communities known to be unusual in

respect to the frequency of deficiency.

Since social failure is our final criterion for judging deficiency, we

must further consider that it is easier for a person to survive in one

environment than in another: in the country, for example, than in the

city. This sort of problem has led to considerable confusion. Goddard

remarks: “In consequence of this it happens that a man may be

intelligent in one environment and unintelligent in another. It is this

point which Binet has illustrated by saying 'A French peasant may be

normal in a rural community but feeble-minded in Paris.'” (_117_, p.

573.) Goddard then goes on to suppose that a delinquent with the

intelligence of a sixteen year old may be “defective” because he happens

“to have got into an environment that requires a twenty-year-old

intelligence.” The suggestion that a criminal might be excused on the

ground of deficiency because he happened to fall among bad companions is

a _reductio ad absurdum_. Clearly environment must be defined as

ordinary environment, available environment or by some similar concept,

or else the definition of deficiency loses all significance. In another

place Goddard more properly suggests that it would be well to “draw one

line at that point below which a person of that intelligence is not

desirable or useful _in any environment_” (_117_, p. 3).

So long as the care of the feeble-minded is a state problem the

percentage of passable intellects would apparently be determined for the

available environment in that state. The problem of social care cannot

mean that the state should care for college men because they cannot

survive among college men or in the station of life into which they may

have been born. So long as there are environments within the community

where they can survive it is a problem of shifting them in their social

habitat, not a problem for social care. The same is true for the low

grades of intellect. It is not likely, however, that any portion of the

community could absorb many more of the low degree intellects. For the

problem of social care for the feeble-minded, the question: What

environment will allow this individual to survive? becomes the question:

Can he survive in any available environment in his community? It would

seem very hazardous to suppose that the different opportunities for

survival afforded by different localities in a state would be large

enough to care for more than the group of doubtful cases which should be

allowed for in a quantitative description of the border region.

(3) _The Variation with Sex, Race, and Social Position_ has been

carefully called to attention by Yerkes and Bridges in their studies

with the Binet Point Scale (_225_, Chap. V and VI). It may very well be

that not as high ability should be expected of certain groups as of

others; as a matter of moral obligation, they are not as responsible for

their conduct or their attainments. On the other hand this does not

directly affect the question, what lowest percentage of intellects

cannot get along in society? When that percentage is determined for the

environment available in the community all those who fall within it

might even turn out to be of one sex or of one nationality or of one

social position, without affecting the question whether they should be

cared for by society, or what grade of intellect is not socially

passable? Temporary social handicaps, such as lack of familiarity with

the language, lack of training, etc., must, of course, be allowed for so

far as they affect the individual's test record. Whether the difference

of 5% to 10% in the score of pupils born to non-English-speaking

families compared to their companions' (_225_, p. 66) is due to the

temporary handicap of language or to a permanent difference is, however,

just the problem which the Yerkes and Bridges study does not answer. The

fact that the difference is even greater for older children suggests

that it may indicate an inborn difference between the groups compared.

A diagnosis of deficiency should not be made until the examiner is able

to estimate whether the removal of training or health handicaps would

bring the individual above the borderline. So far as known temporary

handicaps affect the standard of the test results with groups they

should, of course, also be taken into account. On the other hand, it is

clear that the borderline which predicts social failure should not be

shifted to allow for differences in permanent handicaps whether those be

of race, sex or social position.

(4) _The Variation among Different Mental Processes._ With our present

knowledge the most difficult variation for which we must make allowance

at the borderline is the variation from one trait or process to another

in the same individual. One phase of it was discussed above under “c.”

The investigation of Norsworthy throws light on this question.

Summarizing her tests she says: “Among idiots there is not an equal lack

of mental capacity in all directions. There is something of the same

lack of correlation among the traits measured in the case of idiots as

there is with ordinary people” (_159_, p. 68). Again: “The idiots are

nearest the central tendency for children in general in the measurements

of mental traits which are chiefly tests of maturity, and farther and

farther away as measurements are made which are tests of ability to deal

with abstract data. They are two and a half times as far from the median

for children in general in tests like the genus-species test as they are

in tests like the A test or the perception of weight.” Weidensall (_60_)

and Pyle (_46_) also compare delinquent and normal individuals for

different tests, showing a variation with the sort of mental activity

compared.

While Norsworthy thus presents evidence of certain specializations of

deficiency, she notes, however, that perhaps feeble-mindedness is more

typically general than specific and that general deficiency is more

important to consider than specific. Even with that test with which her

group of retarded and feeble-minded children did best, only 28% of them

passed the point which would be excelled by 75% of the children in

general. In their worst test only 1% passed this point. It is also to be

noticed that those tests in which they most nearly approached ordinary

children are for just those simple processes which would be least likely

to be of use in the struggle for social existence. As a whole,

therefore, there is nothing in her results which shows that any

appreciable number of children who were deficient in the average of

tested abilities, would have good enough special ability along a few

lines to make them socially passable. Indeed, for all that we know at

present, the borderline for _passable ability_ in each of our various

mental processes might vary quite as much as Norsworthy found, without

this variation affecting a prediction of failure based upon the average

of a series of tests.

On account of the great attention that has been paid to individual

differences in recent years, on account of their importance for

diagnosis, for determining the causes of deficiency, and for planning

for the training of deficients, we have come almost to the point where

we forget the significance of the average as the most common condition

with which we have to deal. The lack of complete correlation between

abilities of an individual does not make us hesitate to use the concept

of his average ability; it should not make us neglect or misunderstand

the significance of the position of an individual testing low down on

the scale. For the problem of social care the borderline position on a

scale is immensely more important than higher ability. It seems

advisable, therefore, to define this borderline ability with some

suitable allowance for variability in mental processes. It is far safer

to judge an individual's chance of survival by his average or general

tested ability than by the little knowledge that is as yet available

regarding special abilities.

-----

Footnote 4:

AUGUSTA F. BRONNER. _The Psychology of Special Abilities and

Disabilities._ Boston, 1917, pp. vii, 269.

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