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USE OF THE TELLEGEN AND Briggs formula TO DETERMINE the Canadian Dumont-Willis-Beal Indexes (CAN-DWBI-1 & CAN-DWBI-2) for the Canadian WISC-IV[1]
 
Ron Dumont, John O Willis and A. Lynne Beal
 
In this short paper, we provide two alternative composite scores (CAN-DWBI-1 and CAN-DWBI-2) for the WISC-IV with Canadian norms. CAN-DWBI-1 is derived from the three subtests that enter the VCI and the three subtests that enter the PRI. CAN-DWBI-2 is derived from the two subtests that enter the WMI and the two subtests that enter the PSI. We refer to these composites as the Canadian Dumont-Willis-Beal Indexes (CAN-DWBI’s) in order to distinguish them from the traditional ten-subtest Full Scale IQ. The Canadian Dumont-Willis-Beal Indexes separates the six subtests that are stronger measures of verbal and non-verbal intelligence from the other four subtests that are not as highly correlated with FSIQ (i.e., Digit Span, Letter-Number Sequencing, Coding, and Symbol Search).
 
The CAN-DWBI-1 score is a six-subtest composite that excludes subtests which load on the WMI and PSI.
 
The CAN-DWBI-2 score is a four-subtest composite that includes subtests which load on the WMI and PSI.
 
Examiners may wish to report CAN-DWBI’s when the Verbal (VCI) and Perceptual (PRI) abilities are found to be close to one another yet significantly different from those of the Working Memory (WMI) or Processing Speed (PSI) abilities.
 
The tables for the CAN-DWBI’s are provided below. These tables were developed using the procedures described for the American Dumont Willis Index 1 (DWI-1) and the Dumont-Willis Index-2 (DWI-2).  The procedure uses the WISC-IV Canadian subtest intercorrelations (Table 5.1, page 67, WISC-IV Canadian Manual[2]) and the Tellegen and Briggs procedure[3].   Conceptually, the Canadian Dumont-Willis-Beal Index-1 parallels the General Ability Index (GAI) developed by Prifitera, Weiss, and Saklofske[4] for the sum of scaled scores for the eight VCI and POI subtests of the WISC-III.  Prifitera, Weiss, and Saklofske's table was based directly on the WISC-III Canadian normative data. 
 
Similarly, the Canadian Dumont-Willis-Beal Index-2 is based on the sum of scaled scores for the Digit Span and Letter-Number Sequencing (WMI) and Coding and Symbol Search (PSI) subtests.  This score is very similar to Alan Kaufman's "third factor"[5] and "SCAD"[6] scores.  It should be computed and considered only when the four WMI and PSI subtest scores are close to one another and substantially separate from the VCI and PRI subtests.  In those cases, the CAN-DWBI-1 and CAN-DWBI-2 scores may be an efficient alternative means of summarizing the 10 WISC-IV core subtests, but they must never be confused with Canadian normative WISC-IV factor and IQ scores.
 
To use these tables, first calculate the Canadian Dumont-Willis-Beal Index-1 Sum of Scaled Scores (CAN-DWBI-1 SSS) by adding the scaled scores for the following six subtests: Similarities, Vocabulary, Comprehension, Block Design, Picture Concepts, and Matrix Reasoning.
 
Second, calculate the Canadian Dumont-Willis-Beal Index-2 Sum of Scaled Scores (CAN-DWBI-2 SSS) by adding the scaled scores for the following four subtests: Digit Span, Letter-Number Sequencing, Coding, and Symbol Search.
 
Using the appropriate table (CAN-DWBI-1 or CAN-DWBI-2), find the resulting Canadian Dumont-Willis-Beal Index Sum of Scaled Scores in the column labeled "Sum of CAN-DWBI SSS" in the Tables below and read across the row to determine the CAN-DWBI score, associated percentile rank, and 95% confidence interval (based upon the Standard Error of Estimate).  Be sure to use the "CAN-DWBI-1: VCI + PRI" table for the six Verbal Comprehension and Perceptual Reasoning subtests (you will see that a SSS of 60 equals a standard score of 100).  Use the "CAN-DWBI-2: WMI + PSI" table for the four Working Memory and Processing Speed subtests (you will see that a SSS of 40 equals a standard score of 100).
 
Estimates of overall abilities calculated in this way should always be clearly identified as CAN-DWBI scores in both text and tables of reports.  These scores must not be confused with the Full Scale IQ, although they may be more useful estimates of intellectual ability in some cases, for example, for some gifted children and for some children with relative weaknesses in Working Memory and/or Processing Speed.  For the latter group, the CAN-DWBI’s may help avoid Dumont and Willis's Mark Penalty,[7] the depression of a measure of intelligence by a low score on a measure of a student's specific weakness.  Other children may score significantly higher on the WMI and PSI indices than on the VCI and PSI indices, which may mask important difficulties with conceptual thinking if the FSIQ is used without the CAN-DWBI’s.
 
The equivalent tables for the U.S. WISC-IV and additional information about the Tellegen and Briggs formulas are posted at http://alpha.fdu.edu/psychology.

Canadian Dumont-Willis-Beal Index 1  (CAN-DWBI-1: VCI+PRI)

Sum of CAN-DWBI-1 SSS

CAN-DWBI-1 Score

Percentile Rank

95% Confidence Range

 

Sum of CAN-DWBI-1 SSS

CAN-DWBI-1 Score

Percentile Rank

95% Confidence Range

Min

Max

 

Min

Max

6

39

1

36

48

 

61

101

53

95

107

7

40

1

37

50

 

62

102

55

96

108

8

41

1

38

51

 

63

103

58

97

109

9

42

1

39

52

 

64

105

61

98

111

10

44

1

40

53

 

65

106

63

99

112

11

45

1

41

54

 

66

107

66

100

113

12

46

1

42

55

 

67

108

68

101

114

13

47

1

43

56

 

68

109

73

102

115

14

48

1

44

57

 

69

110

75

103

116

15

49

1

46

58

 

70

111

77

104

117

16

50

1

47

59

 

71

112

79

106

118

17

52

1

48

60

 

72

114

81

107

119

18

53

1

49

61

 

73

115

82

108

120

19

54

1

50

62

 

74

116

84

109

121

20

55

1

51

63

 

75

117

86

110

122

21

56

1

52

65

 

76

118

88

111

123

22

57

1

53

66

 

77

119

90

112

124

23

58

1

54

67

 

78

120

91

113

126

24

59

1

55

68

 

79

121

92

114

127

25

61

1

56

69

 

80

123

93

115

128

26

62

1

57

70

 

81

124

94

116

129

27

63

1

58

71

 

82

125

95

117

130

28

64

1

59

72

 

83

126

95

118

131

29

65

1

61

73

 

84

127

96

119

132

30

66

1

62

74

 

85

128

96

121

133

31

67

1

63

75

 

86

129

97

122

134

32

68

2

64

76

 

87

130

97

123

135

33

70

2

65

77

 

88

132

98

124

136

34

71