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Original Article

Normative data for the letter-cancellation task in school
children
Balaram Pradhan, Nagendra H R
Division of Yoga & Life Sciences, Swami Vivekananda Yoga Anusandhana Samsthana, Bangalore, India

Correspondence to: Dr. Nagendra H R
Swami Vivekananda Yoga Anusandhana Samsthana,
# 19, K.G. Nagar, Bangalore 560 019, India.
E-mail: hrnagendra@rediffmail.com

ABSTRACT
Aims: To establish the norms for the letter-cancellation task—a psychomotor performance task.
Materials and Methods: Eight hundred nineteen school students were selected in the present study in an age range between
nine and 16 years (M = 12.14; SD = 1.78 years). Subjects were assessed once for the cancellation task.
Results: Both age and sex influenced performance on the SLCT; therefore, correction scores were obtained on the basis of
these factors.
Conclusions: The availability of Indian normative data for the SLCT will allow wider application of this test in clinical
practice.
Key Words: Attention; cancellation; information processing speed; psychomotor task; sustained.

INTRODUCTION
Cancellation tests have a long history in neuropsychological
assessment. Most commonly, they are administered as
paper-and-pencil tests that are normally used to assess
a person’s ability to visually search for an identifiable
target and to either cancel or circle all such target items
in an array. They vary widely in their complexity from
long letter strings, such as the “H” Test[1] and “A” Test[2] or
number strings like the “2 and 7 Cancellation” Test.[3] They
may include symbols that are quite simple as in the “Star
Cancellation,”[4] Teddy Bear Cancellation,[5] and Symbol
Cancellation tests.[6]
However, they have also been utilized in neuropsychological
test batteries for the assessment of the effectiveness of
treatment for adult patients with anorexia nervosa and
bulimia nervosa,[7] and for the assessment of illiterate
individuals to determine if education affected performance
in a neuropsychological battery.[8] They have also been
employed to assess cognitive impairments in alcoholic
cirrhotic patients, [9] and to evaluate target detection
deficits in patients who have undergone frontal lobectomy
surgery.[10]
An individual's performance on cancellation tests often
72

depends on their vigilance, motivation, and arousal
as they visually scan the array and select appropriate
responses while suppressing inappropriate ones. [10]
These tasks are assigned as measures of the capacity for
sustained attention, concentration, visual scanning, and
rapid response activation and inhibition.[11] For others,
they are measures of efficiency and speed of visual
scanning,[12] or selective attention.[13,14] For yet others, they
are administered primarily to assess potential hemispatial
inattention and visual neglect,[15,16] or motor perseverative
behaviour.[17] A recent study on the symbol cancellation
test provides a measure of neglect, the organizational
process, and attention.[18] Hence, the main objective of the
present study was to derive normative data for the newly
developed letter cancellation test.[19]

MATERIALS AND METHODS
Subjects
Eight hundred nineteen school students were selected in
the present study in an age range between 9 and 16 years
(M = 12.14; SD = 1.78 years). All of them were healthy
and proficient in English. Participants were excluded
from the study if they indicated that they had a history of
neurological or psychiatric disturbance, and were using
International Journal of Yoga ! Vol. 1:2 ! Jul-Dec-2008
[Downloaded free from http://www.ijoy.org.in on Thursday, March 04, 2010]
Psychomotor performance task in school children

medication with central nervous system problems, or
had a history of any learning disability. After completely
describing the study to the participants, written informed
consent was obtained.

deviation stratified by age and sex. Table 2 represents the
regression models. Age and sex had a significantly positive
and negative (P < 0.001) influence on the predicted SLCT
scores.

Instrument

Combining these regression models with the standard
deviations of the residuals provides normative data.
First, the predicted values of the scores (predicted yi) for
the SLCT are calculated by inserting the coded values
of the predictor variables in the regression models
[Table 2]. Next, the residuals of both scores are calculated
(ei = observed yi – predicted yi) and then standardized (Zi
= ei / SD (residual). The SD (residual) equals 7.82 for the
SLCT scores.

The six letter cancellation task consisted of a test
worksheet which specified the six target letters to be
cancelled and had a ‘working section’ which consisted
of letters of the alphabet arranged randomly in 22 rows
and 14 columns. The participants were asked to cancel as
many of the six target letters as possible in the specified
time, i.e., 1 min, 30 sec. They were told to choose from two
possible strategies, i.e., (i) doing all six letters at a time or
(ii) to selective any one target letter out of the six. They
were also told that they could follow a horizontal, vertical,
or a random path, according to their choice.[10] The total
number of cancellations and wrong cancellations were
scored and the net scores were calculated by deducting
wrong cancellations from the total cancellations attempted.
Tests were administered by five trained assistants in the
neuropsychological test laboratory.

Data analysis
The normative procedure for net six letter cancellation
scores (NSLCT) involved the fitting of multiple linear
regression models adjusted for age (in years) and
sex. The core assumptions of regression analysis
(homoscedasticity, normal distribution of the residuals,
absence of multicollinearity, and the absence of ‘influential
cases’) were tested for each model. Homoscedasticity
was evaluated by visual inspection of the scatter plots
of the residuals on the predicted values. The normal
distribution of the residuals was investigated by visual
inspection of the histograms and the normal probability
plots. The occurrence of multicollinearity was checked
by calculating the Variance Inflation Factors (VIFs), which
should not exceed 10.[20] Cook’s distances were computed
to identify any possible influential cases. Normative data
can then be obtained by calculating the residuals for the
NSLCT scores (ei = observed score – predicted score). The
residuals are then standardized (Zi = ei / SD [residual]). All
analyses were performed by using the SPSS 10.0 version
software package.

RESULTS
Linear multiple regression models were fitted for the
SLCT scores. The residuals were sufficiently normally
distributed and no heteroscedasticity was observed. VIFs
of the predictors in the regression models had a maximum
value of 1.001, which is well below the cut-off value of
10. The outliers had virtually no effect (maximum Cook’s
distance 0.04). Table 1 presents the mean and standard
International Journal of Yoga ! Vol. 1:2 ! Jul-Dec-2008

Multiple linear regressions provided a multiple R value of
0.538 with a corresponding R2 determination index of 0.29,
indicating that 29% of the score variance was explained by
the combination of age and sex. The model equation was:
SLCT score = -4.307 + 2.545 × Age – 4.25 × Sex. This
indicates that for each progressive year of age, the SLCT
scores increase, on average, by 2.545 and decrease by -4.25
for each sex. These coefficients allowed us to calculate the
correction scores to apply to individual subjects to consider
the effects of age and sex. Table 3 provides normative SLCT
data based on the regression models in Table 3, stratified
by age and sex with percentile values.

Reliability and validity
The Six Letter Cancellation test retest reliability was found
(r = 0.781, P = 0.002).[21] This test is directly related to
attention measurement. This test has been used in earlier
studies in an Indian population.[22-24] Hence, this test had
been validated for the present study.

DISCUSSIONS
The results found higher scores with an increase in the
age of both sexes; females had higher scores than males
in the cancellation task performance. Previous studies
on 50 psychiatic inpatients who had been diagnosed
Table 1: Mean and standard deviation of net six letter
cancellation task scores stratified by age and sex
AGE (years)
9
10
11
12
13
14
15
16
Total

n
10
71
41
49
66
31
37
9
314

Female
Mean ± SD
16.2±6.36
20.73±7.1
23.41±6.7
24.35±7.96
31.23±9.33
30.81±7.53
34.54±9.13
34.67±6.18
26.73±9.54

n
17
88
84
118
74
69
43
12
505

Male
Mean ± SD
13.06±5.03
16.9±6.31
20.62±6.21
22.43±8.09
23.7±7.63
26.25±8.38
29.93±9.87
29.75±12.52
22.37±8.71

73
[Downloaded free from http://www.ijoy.org.in on Thursday, March 04, 2010]
Pradhan B and Nagendra H R

Table 2: Multiple linear regression models of the SLCT scores with age and sex as predictors
Variables
Constant
Age
Sex

B
-4.307
2.545
-4.250

Std. error
1.932
0.154
0.563

t
-2.229
16.498
-7.554

P values
0.026
< 0.001
< 0.001

Standardized B
0.487
-0.223

VIF
1.000
1.000

R[2]
0.289
-

SD (residuals)
7.82
-

Percentiles

Table 3: Net six letter cancellation tasks stratified by age and sex of raw percentile scores
Age
9
5
5
10
5.7
25
12
50
16
75 23.25
90
24.9
95
.

10
8.6
11
16
20
27
30
31.8

Female age in years
11
12
13
9.7
10.5
18.35
16
13
20.7
19
19
25
22
24
29.5
29
31.5
38
31
34
44
35.6
38
47.65

14
17.6
18
25
32
34
41.6
43.6

15
22.7
24.6
29.5
33
38.5
46.4
54.4

with substance-related disorder, schozophenia, bipolar,
depressive, or anxiety disorders, showed that these
patients had lower scores than normal volunteers[22] and
also after coffee stimulant scores was increase.[23] To our
knowledge, a prior study on the SLCT reported a general
description of performance but did not provide means or
standard deviations of performance on this measure for
children. Moreover, the effect of demographic variables
on SLCT performance had not been previously examined.
However, examination of percentile ranks revealed an
unstable pattern of SLCT performance across age and
gender groups. Age was a stronger predictor than sex for
the SLCT. This study was limited to children and uneven
cell sizes across derived age and sex. Further research
with larger samples is needed to clarify this relation,
perhaps in an adult population. Nonetheless, these
results permit quantitative evaluation of performance
on the SLCT in healthy school children. As the SLCT
is easy to administer in short duration of time and
potentially useful in the assessment of attention, neglect,
and psychomotor ability, it is hoped that these normative
data will increase the use of SLCT in clinical pediatric
populations.

16
26
26
30
35
38
.
.

9
7
7
8
13
17
21
.

10
7
9
13
16
22
26
28

11
12
13.00
16
20.5
24
30
33.75

Male age in years
12
13
14
10
12
13.5
12.90 13.50 15.00
18
19
21
22
23
26
27
29
32.5
31.1
35
36
36
36.75
39

15
16
13
10
17
11.2
22
21
29
25
35 41.75
43.2 46.5
48.8
.

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Hence, one possible mechanism can be that the posterior
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[28]
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Geldmacher DS. Effect of stimulus number, and target-to-distractor ratio,
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75

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8 2008-normative data for the letter cancellation task in school children

  • 1. [Downloaded free from http://www.ijoy.org.in on Thursday, March 04, 2010] Original Article Normative data for the letter-cancellation task in school children Balaram Pradhan, Nagendra H R Division of Yoga & Life Sciences, Swami Vivekananda Yoga Anusandhana Samsthana, Bangalore, India Correspondence to: Dr. Nagendra H R Swami Vivekananda Yoga Anusandhana Samsthana, # 19, K.G. Nagar, Bangalore 560 019, India. E-mail: hrnagendra@rediffmail.com ABSTRACT Aims: To establish the norms for the letter-cancellation task—a psychomotor performance task. Materials and Methods: Eight hundred nineteen school students were selected in the present study in an age range between nine and 16 years (M = 12.14; SD = 1.78 years). Subjects were assessed once for the cancellation task. Results: Both age and sex influenced performance on the SLCT; therefore, correction scores were obtained on the basis of these factors. Conclusions: The availability of Indian normative data for the SLCT will allow wider application of this test in clinical practice. Key Words: Attention; cancellation; information processing speed; psychomotor task; sustained. INTRODUCTION Cancellation tests have a long history in neuropsychological assessment. Most commonly, they are administered as paper-and-pencil tests that are normally used to assess a person’s ability to visually search for an identifiable target and to either cancel or circle all such target items in an array. They vary widely in their complexity from long letter strings, such as the “H” Test[1] and “A” Test[2] or number strings like the “2 and 7 Cancellation” Test.[3] They may include symbols that are quite simple as in the “Star Cancellation,”[4] Teddy Bear Cancellation,[5] and Symbol Cancellation tests.[6] However, they have also been utilized in neuropsychological test batteries for the assessment of the effectiveness of treatment for adult patients with anorexia nervosa and bulimia nervosa,[7] and for the assessment of illiterate individuals to determine if education affected performance in a neuropsychological battery.[8] They have also been employed to assess cognitive impairments in alcoholic cirrhotic patients, [9] and to evaluate target detection deficits in patients who have undergone frontal lobectomy surgery.[10] An individual's performance on cancellation tests often 72 depends on their vigilance, motivation, and arousal as they visually scan the array and select appropriate responses while suppressing inappropriate ones. [10] These tasks are assigned as measures of the capacity for sustained attention, concentration, visual scanning, and rapid response activation and inhibition.[11] For others, they are measures of efficiency and speed of visual scanning,[12] or selective attention.[13,14] For yet others, they are administered primarily to assess potential hemispatial inattention and visual neglect,[15,16] or motor perseverative behaviour.[17] A recent study on the symbol cancellation test provides a measure of neglect, the organizational process, and attention.[18] Hence, the main objective of the present study was to derive normative data for the newly developed letter cancellation test.[19] MATERIALS AND METHODS Subjects Eight hundred nineteen school students were selected in the present study in an age range between 9 and 16 years (M = 12.14; SD = 1.78 years). All of them were healthy and proficient in English. Participants were excluded from the study if they indicated that they had a history of neurological or psychiatric disturbance, and were using International Journal of Yoga ! Vol. 1:2 ! Jul-Dec-2008
  • 2. [Downloaded free from http://www.ijoy.org.in on Thursday, March 04, 2010] Psychomotor performance task in school children medication with central nervous system problems, or had a history of any learning disability. After completely describing the study to the participants, written informed consent was obtained. deviation stratified by age and sex. Table 2 represents the regression models. Age and sex had a significantly positive and negative (P < 0.001) influence on the predicted SLCT scores. Instrument Combining these regression models with the standard deviations of the residuals provides normative data. First, the predicted values of the scores (predicted yi) for the SLCT are calculated by inserting the coded values of the predictor variables in the regression models [Table 2]. Next, the residuals of both scores are calculated (ei = observed yi – predicted yi) and then standardized (Zi = ei / SD (residual). The SD (residual) equals 7.82 for the SLCT scores. The six letter cancellation task consisted of a test worksheet which specified the six target letters to be cancelled and had a ‘working section’ which consisted of letters of the alphabet arranged randomly in 22 rows and 14 columns. The participants were asked to cancel as many of the six target letters as possible in the specified time, i.e., 1 min, 30 sec. They were told to choose from two possible strategies, i.e., (i) doing all six letters at a time or (ii) to selective any one target letter out of the six. They were also told that they could follow a horizontal, vertical, or a random path, according to their choice.[10] The total number of cancellations and wrong cancellations were scored and the net scores were calculated by deducting wrong cancellations from the total cancellations attempted. Tests were administered by five trained assistants in the neuropsychological test laboratory. Data analysis The normative procedure for net six letter cancellation scores (NSLCT) involved the fitting of multiple linear regression models adjusted for age (in years) and sex. The core assumptions of regression analysis (homoscedasticity, normal distribution of the residuals, absence of multicollinearity, and the absence of ‘influential cases’) were tested for each model. Homoscedasticity was evaluated by visual inspection of the scatter plots of the residuals on the predicted values. The normal distribution of the residuals was investigated by visual inspection of the histograms and the normal probability plots. The occurrence of multicollinearity was checked by calculating the Variance Inflation Factors (VIFs), which should not exceed 10.[20] Cook’s distances were computed to identify any possible influential cases. Normative data can then be obtained by calculating the residuals for the NSLCT scores (ei = observed score – predicted score). The residuals are then standardized (Zi = ei / SD [residual]). All analyses were performed by using the SPSS 10.0 version software package. RESULTS Linear multiple regression models were fitted for the SLCT scores. The residuals were sufficiently normally distributed and no heteroscedasticity was observed. VIFs of the predictors in the regression models had a maximum value of 1.001, which is well below the cut-off value of 10. The outliers had virtually no effect (maximum Cook’s distance 0.04). Table 1 presents the mean and standard International Journal of Yoga ! Vol. 1:2 ! Jul-Dec-2008 Multiple linear regressions provided a multiple R value of 0.538 with a corresponding R2 determination index of 0.29, indicating that 29% of the score variance was explained by the combination of age and sex. The model equation was: SLCT score = -4.307 + 2.545 × Age – 4.25 × Sex. This indicates that for each progressive year of age, the SLCT scores increase, on average, by 2.545 and decrease by -4.25 for each sex. These coefficients allowed us to calculate the correction scores to apply to individual subjects to consider the effects of age and sex. Table 3 provides normative SLCT data based on the regression models in Table 3, stratified by age and sex with percentile values. Reliability and validity The Six Letter Cancellation test retest reliability was found (r = 0.781, P = 0.002).[21] This test is directly related to attention measurement. This test has been used in earlier studies in an Indian population.[22-24] Hence, this test had been validated for the present study. DISCUSSIONS The results found higher scores with an increase in the age of both sexes; females had higher scores than males in the cancellation task performance. Previous studies on 50 psychiatic inpatients who had been diagnosed Table 1: Mean and standard deviation of net six letter cancellation task scores stratified by age and sex AGE (years) 9 10 11 12 13 14 15 16 Total n 10 71 41 49 66 31 37 9 314 Female Mean ± SD 16.2±6.36 20.73±7.1 23.41±6.7 24.35±7.96 31.23±9.33 30.81±7.53 34.54±9.13 34.67±6.18 26.73±9.54 n 17 88 84 118 74 69 43 12 505 Male Mean ± SD 13.06±5.03 16.9±6.31 20.62±6.21 22.43±8.09 23.7±7.63 26.25±8.38 29.93±9.87 29.75±12.52 22.37±8.71 73
  • 3. [Downloaded free from http://www.ijoy.org.in on Thursday, March 04, 2010] Pradhan B and Nagendra H R Table 2: Multiple linear regression models of the SLCT scores with age and sex as predictors Variables Constant Age Sex B -4.307 2.545 -4.250 Std. error 1.932 0.154 0.563 t -2.229 16.498 -7.554 P values 0.026 < 0.001 < 0.001 Standardized B 0.487 -0.223 VIF 1.000 1.000 R[2] 0.289 - SD (residuals) 7.82 - Percentiles Table 3: Net six letter cancellation tasks stratified by age and sex of raw percentile scores Age 9 5 5 10 5.7 25 12 50 16 75 23.25 90 24.9 95 . 10 8.6 11 16 20 27 30 31.8 Female age in years 11 12 13 9.7 10.5 18.35 16 13 20.7 19 19 25 22 24 29.5 29 31.5 38 31 34 44 35.6 38 47.65 14 17.6 18 25 32 34 41.6 43.6 15 22.7 24.6 29.5 33 38.5 46.4 54.4 with substance-related disorder, schozophenia, bipolar, depressive, or anxiety disorders, showed that these patients had lower scores than normal volunteers[22] and also after coffee stimulant scores was increase.[23] To our knowledge, a prior study on the SLCT reported a general description of performance but did not provide means or standard deviations of performance on this measure for children. Moreover, the effect of demographic variables on SLCT performance had not been previously examined. However, examination of percentile ranks revealed an unstable pattern of SLCT performance across age and gender groups. Age was a stronger predictor than sex for the SLCT. This study was limited to children and uneven cell sizes across derived age and sex. Further research with larger samples is needed to clarify this relation, perhaps in an adult population. Nonetheless, these results permit quantitative evaluation of performance on the SLCT in healthy school children. As the SLCT is easy to administer in short duration of time and potentially useful in the assessment of attention, neglect, and psychomotor ability, it is hoped that these normative data will increase the use of SLCT in clinical pediatric populations. 16 26 26 30 35 38 . . 9 7 7 8 13 17 21 . 10 7 9 13 16 22 26 28 11 12 13.00 16 20.5 24 30 33.75 Male age in years 12 13 14 10 12 13.5 12.90 13.50 15.00 18 19 21 22 23 26 27 29 32.5 31.1 35 36 36 36.75 39 15 16 13 10 17 11.2 22 21 29 25 35 41.75 43.2 46.5 48.8 . Cancellation Test. Dev Med Child Neurol 2006;48:120-5. 2. Ruff RM, Evans RW, Light RH. Automatic detection vs controlled search: A paper and pencil approach. Percept Mot Skills 1986;62:407-516. 3. Halligan PW, Wilson B, Cockburn J. A short screening test for visual neglect in stroke patients. Int Disabil Stud 1990;12:95-9. 4. Lowery N, Ragland JD, Gur RC, Gur RE, Moberg PJ. Normative data for the symbol cancellation test in young healthy adults. Appl Neuropsychol 2004;11:218-21. 5. 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