ALCOHOLICS SCORING < 20 TO THE RAVEN'S COLORED MATRICES:
ANALYSIS OF THE WRONG ANSWERS
Renato
Cocchi, a neurologist and a medical psychologist.
Summary.
The analysis of wrong answers
given by 60 chronic alcoholics to Raven's Coloured Matrices PM47, carried out
according to criteria used by Cocchi, 1993, brought to light 392 significantly
grouped answers (.008 - .0000005). The classification into 5 categories showed
the distribution of all 392 answers into the category of i. identity by
contiguity or metonimy (67.35%); ii. opposition (15.05%); iii. partial identity
or metaphore (11.98 %); iv. confabulation (4.34%); v. choice of the first
figure the drawing of which was not present in the conrespondent matrice
("first not present" = 1.28%).
The results confirm that
the analysis of wrong answers given to Raven's Progressive Matrices can be used
to elicit the neurophysiopsychological levels the cognitive processes in
problem solving stop in chronic alcoholics.
Key words: Chronic
alcoholics; Raven's Progressive Matrices; wrong answers; analysis; partial
identity; identity by contiguity; opposition; confabulation; first not present;
neuro-physiological mechanisms.
Theoretical and research bases
Cases
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The
analysis of the wrong answers to the Raven's Progressive Matrices seems a very
valuable tool. It can add a more sophisticated specification to the total score, that is always a little, as for itself.
coarse.
Its use
when Colored Matrices where given to demented patients (Poli, Cocchi and Zerbi,
1988) or, as for the Form 1, Rev. 1962, of the PM
Then I
have applied this analysis to a group of answers given by alcoholics to the
Colored Matrices PM47.
Subjects, material and
method.
For this
investigation I chose the answers to the Colored Matrices PM47, given by a
group of inpatients in the Alchol Unit between November 1992 and July 1993.
Of each
subject we collected sex and age. The diagnosis of alhoolism was made according
to DSM-III, R: 303.00.
The PM47
test was part of the neuropsicological entry investigation and was adonistered
during first days of staying, or just possible, when a state of predelirium
occurred.
One of us
have re-examined the cards refferring to the given answers to the PM47, on the
what the tester had written even the number of the selected item for the wrong
answer. The right answers to the PM47 can be chosen every time among 6 possible
answers, only one of them is just the right answer.
Each
right answer has one point score till a maximum of 36.
A total
score < 20 has selected the choice of the cards. We swerved the cards where
the answers obeied to an evident iterative mechanism iterative, with long
sequences of wrong answers [aventi] the same number
(example,
for a total of 25 wrong answers:
2;5;4;5;4;2;1;2;2;1;2;2;2;2;2;2;2;5;2;2;2;2;2;2;5).
Then we
count the wrong answers and gather theb by each matrix.
For eaxh
matrix the related wrong answers were divided by 5 (the total of wrong answer
posibilities) and the ratio was approximated by excess. This result gave us the
theoretical number of surely random wrong answers for each grouping of wrong
answers belonging to that matrix.
In every
matrix we subtracted the number of theoretical random wrong answers to every
grouping of wrong answers. We got, in this way, the number of surely non random
wrong answers.
For every
grouping of surely non random wrong answers we calculated p of those wrong
answers, by starting from 3 of them ( p = 1/125 = .008 ), limiting ourselves to
p < .0000006, if the group had 9 or more surely non random wrong answers.
Then we classified those surely non random wrong answers according to five
categories recently one of us brought to light (Cocchi, 1983 ), that is to say
[identity by similarity, horizontal, vertical or diagonal spatial contiguity,
opposition (in shape or in colour), first not present, confabulation (an answer
where the identity was built from element of different origin).
Results.
Sixty
scoring cards out of 63 63 fitted the criteria for this investigation. We
swerved three of them because the presence of an evident iterative mechanism in
the choice of the answers.
The cards
represent the answers to the Colored Matrices PM47, given by 60 Alcoholic
patients (
For subjects
did not end the test, each one stopping to different matrices, so from the
matrix no. 19, 1-4 answers missed.
We
indicated the number of the wrong answers, divided as for item, from the matrix
4A the matrix 12B in the Table 1, which indicates even the number of the
missing answers, the total number of the wrong answers, and the number of the
surely not random wrong answers casual (columns (n)bis ).
Of these
last ones we calculated the p of this non random grouping, starting from a
group of three nswers. In the Table 2 we spread the not random answers answers
according to the five expected cognitive mechanisms.
Tab. 1:
Groupings of wrong answers, as given to the various matrices, and corrected
with the subtraction of the theoretical random answers ( with * we pointed out
the right answers)
|
Tab. No. |
Tot. ans. |
Numbers of
wrong answers for item, as given or corrected |
Total wrong answers |
|||||||||||
|
1 |
1bis |
2 |
2bis |
3 |
3bis |
4 |
4bis |
5 |
5bis |
6 |
6bis |
|||
|
Series A |
||||||||||||||
|
4 |
60 |
0 |
|
* |
|
5 |
3+ |
2 |
|
0 |
|
0 |
|
7 |
|
5 |
60 |
4 |
|
5 |
2 |
2 |
|
0 |
|
0 |
|
* |
|
11 |
|
6 |
60 |
5 |
|
11 |
7& |
* |
|
1 |
|
1 |
|
0 |
|
18 |
|
7 |
60 |
8 |
|
6 |
|
6 |
|
19 |
11S |
0 |
|
* |
|
39 |
|
8 |
60 |
11 |
4! |
* |
|
4 |
|
2 |
|
2 |
|
15 |
8$ |
34 |
|
9 |
60 |
* |
|
6 |
|
0 |
|
3 |
|
23 |
15$ |
6 |
|
38 |
|
10 |
60 |
4 |
|
6 |
|
* |
|
4 |
|
0 |
|
27 |
19S |
41 |
|
11 |
60 |
7 |
|
9 |
|
6 |
|
15 |
4! |
* |
|
16 |
5# |
53 |
|
12 |
60 |
17 |
9s |
7 |
|
3 |
|
* |
|
3 |
|
11 |
3+ |
41 |
|
Series Ab |
||||||||||||||
|
1 |
60 |
2 |
|
2 |
|
1 |
|
0 |
|
0 |
|
0 |
|
5 |
|
2 |
60 |
3 |
|
5 |
4! |
1 |
|
0 |
|
* |
|
0 |
|
10 |
|
3 |
60 |
* |
|
4 |
|
2 |
|
4 |
|
2 |
|
0 |
|
12 |
|
4 |
60 |
23 |
13S |
6 |
|
1 |
|
17 |
7& |
0 |
|
* |
|
47 |
|
5 |
60 |
16 |
5S |
* |
|
6 |
|
1 |
|
9 |
2 |
1 |
|
33 |
|
6 |
60 |
* |
|
24 |
15S |
0 |
|
7 |
|
11 |
2 |
4 |
|
46 |
|
7 |
59 |
4 |
|
17 |
9S |
* |
|
3 |
|
13 |
5# |
4 |
|
41 |
|
8 |
59 |
4 |
|
21 |
10S |
4 |
|
* |
|
22 |
11S |
1 |
|
52 |
|
9 |
59 |
2 |
|
19 |
9S |
15 |
5# |
1 |
|
13 |
3+ |
* |
|
50 |
|
10 |
59 |
1 |
|
34 |
24S |
* |
|
2 |
|
1 |
|
1 |
|
47 |
|
11 |
59 |
0 |
|
28 |
18S |
14 |
4! |
0 |
|
* |
|
6 |
|
48 |
|
12 |
58 |
28 |
17S |
* |
|
4 |
|
17 |
6@ |
3 |
|
3 |
|
55 |
|
Series B |
||||||||||||||
|
1 |
57 |
0 |
|
2 |
|
0 |
|
1 |
|
0 |
|
2 |
|
5 |
|
2 |
57 |
1 |
|
9 |
5# |
4 |
|
2 |
|
1 |
|
* |
|
17 |
|
3 |
57 |
* |
|
17 |
12S |
1 |
|
2 |
|
1 |
|
2 |
|
23 |
|
4 |
56 |
1 |
|
* |
|
3 |
|
6 |
2 |
3 |
|
5 |
|
18 |
|
5 |
56 |
* |
|
14 |
4! |
3 |
|
10 |
|
20 |
10S |
0 |
|
47 |
|
6 |
56 |
13 |
2 |
22 |
11S |
* |
|
3 |
|
5 |
|
10 |
|
53 |
|
7 |
56 |
20 |
10S |
17 |
7& |
2 |
|
2 |
|
* |
|
8 |
|
49 |
|
8 |
56 |
10 |
|
3 |
|
3 |
|
17 |
7& |
18 |
8$ |
* |
|
51 |
|
9 |
56 |
30 |
19S |
8 |
|
3 |
|
* |
|
9 |
|
3 |
|
53 |
|
10 |
56 |
20 |
10S |
21 |
11S |
* |
|
3 |
|
1 |
|
4 |
|
49 |
|
11 |
56 |
7 |
|
21 |
11S |
14 |
4! |
* |
|
5 |
|
2 |
|
49 |
|
12 |
56 |
16 |
5# |
12 |
|
11 |
|
5 |
|
* |
|
8 |
|
52 |
p: + = .008; ! <.002; #
<.0004; @ <.00007; & <.00002; $ <.000003; S <.0000005
How we can see from the Table 1 there are as
well as 43 answer groups with random p <.05. The probability to gain random
24 same answers (Series AB, matrix 10, answer 2) is < 1/10^22, a number
dreadfully little.
Tab. 2: Spreading of significantly non
random wrong answers according with the hypothesized cognitive mechanisms.
|
Table no. + tab. answer |
|
|
|
|
First not present |
|
Identity |
Contiguity |
Opposition |
Confabulation |
||
|
4A.3 |
3 |
|
|
|
|
|
6A.2 |
|
|
7 |
|
|
|
7A.4 |
11 |
|
|
|
|
|
8A.1 |
4 |
|
|
|
|
|
8A.6 |
8 |
|
|
|
|
|
9A.5 |
|
|
15 |
|
|
|
10A.6 |
|
|
19 |
|
|
|
11A.4 |
|
|
4 |
|
|
|
11A.6 |
5 |
|
|
|
|
|
12A.1 |
|
9 |
|
|
|
|
12A.6 |
|
3 |
|
|
|
|
|
|||||
|
2Ab.2 |
4 |
|
|
|
|
|
4Ab.1 |
|
13 |
|
|
|
|
4Ab.4 |
7 |
|
|
|
|
|
5Ab.1 |
|
|
9 |
|
|
|
6Ab.2 |
|
15 |
|
|
|
|
7Ab,2 |
|
9 |
|
|
|
|
7AB.5 |
|
5 |
|
|
|
|
8Ab.2 |
|
10 |
|
|
|
|
8Ab.5 |
|
11 |
|
|
|
|
9Ab.2 |
|
|
|
9 |
|
|
9Ab.3 |
|
5 |
|
|
|
|
9Ab.5 |
|
3 |
|
|
|
|
10Ab.2 |
|
24 |
|
|
|
|
11AB.2 |
|
18 |
|
|
|
|
11Ab.3 |
|
|
4 |
|
|
|
12Ab.1 |
|
17 |
|
|
|
|
12Ab.4 |
|
6 |
|
|
|
|
|
|||||
|
2B.2 |
5 |
|
|
|
|
|
3B.2 |
|
12 |
|
|
|
|
5B.2 |
|
4 |
|
|
|
|
5B.5 |
|
10 |
|
|
|
|
6B.2 |
|
11 |
|
|
|
|
7B.1 |
|
10 |
|
|
|
|
7B.2 |
|
7 |
|
|
|
|
8B.4 |
|
7 |
|
|
|
|
8B.5 |
|
|
|
8 |
|
|
9B.1 |
|
19 |
|
|
|
|
10B.1 |
|
10 |
|
|
|
|
10B.2 |
|
11 |
|
|
|
|
11B.2 |
|
11 |
|
|
|
|
11B.3 |
|
4 |
|
|
|
|
12B.1 |
|
|
|
|
5 |
|
Totals |
47 = 11.98% |
264 = 67.35% |
59 = 15.05% |
17 = 4.34% |
5 = 1.28% |
How we can see, we can spread all the surely
not random 392 answers within the five proposed cognitive mechanisms.
Discussion.
The categories used for the possible
classification of the wrong answers come out from the precedent
research(Cocchi, 1993), where they had been hypothesize in a higher number.
Currently with five categories we could
classify all wrong answers.
As already said in the preceding
investigation (Cocchi, 1993), with "confabulation," I mean a category
of answers where it is an accumulation of disparate elements. They do not obey
to the "logics" of similarity, nor to that of contiguity.
It is a category not always easy to single
out, and some answers could be an extension of the similarity answers
(metaphoric answers).
"First not present" leads to a
classification of answers due to a half-clever strategy that drives to choose
among the six possible answers, the first that is not present in the matrix.
Unfortunately, as we already reported
(Cocchi, Pola and Zerbi, 1988), in the Colored Matrices PM47, the choices of
this type to the tables 2 and 5 of the series A, 6 and 12 of the series Ab; 6
and 10 of the series B is even the right answer.
From that follows that several right answers
to these tables could be creditable to the using of this strategy, even if we
found only in the 1.28 % of all wrong answers.
The results confirmed what found in the
previous research. The five categories were enough for classifying all the 392
surely not random wrong answers.
What is still more remarkable is that such
answers are, in the order, due to errors for contiguity, opposition,
similarity, confabulation, and "first not present."
In comparison with the sample of university
students of previous investigation, while contiguity and "first not
present " got exactly the same order, the other three categories
(similarity, confabulation, opposition) were instead from the second to the
quarter place.
For an analysis of the informative value of
those answers on brain mechanisms places in action for this task of problem
solving, this time too I need to refer to my previous research (Cocchi, 1993).
The fact that these answers came out from
persons whose brains were chronically intoxicated by the alcohol, has surely an
exact meaning.
Leaving aside the category of the
"first not present," founded on an elementary calculation of
probability - being a not present picture in the matrix, it has increased
probability to be the right answer. This is a way of thinking perfectly useful
for this series of tables.
In these patients, this is the category less
used, as compared to what did university students (Cocchi, 1993) or demented
people, who were given the same test with the same Colored Matrices PM47
(Cocchi, Pola and Zerbi, 1988).
That drives to suppose that the alcoholic
intoxication acts in different way, as compared with normal subject or demented
people.
For categories of similarity and contiguity,
we had to relate and deepen an explanation already forwarded with optimal
argumentation by Jacobson and Halle 1956 and Jacobson 1963. It has again
referred by Cocchi (1982), who found its neuropsychological base in Pribram,
1976.
The human brain, - but near certainly even
the animal act so -, has the habit to do partial identities (similarities =
metaphors) and identities by contiguity (metonymies) even outside the verbal
language.
Still a time the more used mechanism is that
of contiguity, as happened in university students (Cocchi, 1993) and demented
inpatients, where three answers had classification as "horizontal
repetition" and "vertical repetition" (Pola, Cocchi and Zerbi,
1988).
The answers of similarity, instead, have
here the third place, compared to the amount university students did (Cocchi,
1993).
The comparison with demented subjects is not
suitable here, because their answers were classified by different criterion.
As for the mechanism of opposition, already
Cocchi and coll., 1986 discussed it, following the first reported case of
mirror speaking as the outcome of brain neurosurgery. It is curious to remember
that this mechanism could appear following brain intoxication (Cocchi and
coll., 1986) and can be a fact non random that it leaps to the second place in
a group of chronic alcoholics.
Besides, what we have defined as
"confabulation," is the building of an assertion with disparate
elements, outside the frame of the "paleologics" (according to von
Domarus' meaning, 1944) of partial identity, contiguity or opposition.
The criterion of inclusion in this category
has been the choice of not immediately close elements to build the wrong
answer. This mechanism gained the fourth place, while it had to the third place
in university students (Cocchi, 1993).
Conclusions.
The analysis of wrong answers given by 60
chronic alcoholics to the Raven's Colored Matrices PM47, when they entered the
hospital, for disintoxication, revealed that 392 wrong answers, grouped in
surely not random way.
By using five possible categories to
classify them, all went into at least one of those five.
The category of contiguity owned the greater
number of answers, followed in that order by opposition, similarity,
confabulation and "first not present."
This result is a further confirmation that
we can use wrong answers given to Raven's Progressive Matrices, to elicit the
neuro-physio-psychological levels where cognitive abilities of morbid subjects
stop in problem solving, as for the case of chronic alcoholics.
References.
Anastasi A.: Psychological testing.
MacMillan, New York,1960 (trad.ital. I test psicologici. Angeli, Milano 1967).
Campbell D.T.: A tipology of test, projective
and otherwise. J.Consult. Psychol. 1957, 21: 206-212.
Cocchi R.: Meccanismi "logici"
nella acquisizione del linguaggio verbale: Una ipotesi esplicativa
neurofisiologica degli ipercorrettismi. Riv. Neurobiol. 1982, 28: 162-190.
Cocchi R.: Analisi delle risposte errate,
date alle PM47 di Raven, Rev. 1962, Forma I, da un campione di studenti
universitari. Riv. It. Disturbo Intellet. 1993, 6: 83-90.
Cocchi R., Pola A., Sellerini M., Tosca P.,
Zerbi F.: Mirror speaking after neurosurgery. Case history. Acta Neurol. Belg.
1986, 86: 224-232.
Jacobson R.: Essais de linguistique
generale. Editions de Minuit, Paris 1963 (trad. ital.: Saggi di liguistica
generale. Feltrinelli, Milano 1966).
Jacobson R., Halle M.: Fundamentals of
Language. Mouton, Den Haag, 1956.
Pola A., Cocchi R., Zerbi F.: Progressive
Matrices PM
Pribram
K.H.: Languages of the brain. Experimental paradoxes and principles in
neuropsychology. Prentice-Hall, Englewood Cliff, 1971 (trad. ital.: I linguaggi
Von
Domarus E.: The specific laws of logic in schizophrenia. In: Kasanin J. S.
(ed): Language and thought in schizophrenia: Collected papers. University of California Press, Berkeley, 1944.
Printed in Italian in Riv. It. Disturbo Intellet, 1993,6:269-275.
Posted on Internet on May, 2003. Copyright by Renato Cocchi,
2003.
Author's address: dr Renato COCCHI, via
Rabbeno, 3
42100 Reggio Emilia (Italy)
renatococchi@libero.it
Theoretical and research bases
Cases
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