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Differential Ability Scales
(DAS)
Step-by-step
Analysis
An Illustrative Case with the DAS
Kate, a 14 year old, was referred for evaluation because of difficulty in her
8th grade classes, specifically in the areas related to mathematical
concepts and reasoning. Teachers had noted on the Learning Disabilities
Diagnostic Inventory (LDDI, 1999) that she frequently "Makes borrowing
errors," "Reaches 'unreasonable' answers," and "Has
difficulty in multi-step problems."
Kate was administered the DAS and obtained the results in T scores, Standard
Scores, and Percentile Ranks for her age found
in Table - 26.
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Table -
Table - 26
KATE’S DAS
SCORES AS T SCORES, STANDARD SCORES, AND PERCENTILE RANK FOR HER AGE
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Total Scores
[letters in ( ) show subtests from below included in each Composite] |
Standard Score |
Percentile Rank |
Classification |
95% Confidence1 |
|
General Conceptual Ability
(WDef Sim Mat SQR RDes PCon) |
100 |
50 |
Average |
91-109 |
|
Verbal
(WDef Sim) |
103 |
58 |
Average |
93-113 |
|
Nonverbal Reasoning
(Mat SQR) |
78 |
07 |
Low |
70-88 |
|
Spatial
(RDes PCon) |
116 |
86 |
Above Average |
107-124 |
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|
T Score |
Percentile Rank |
Classification |
|
|
Verbal Tests |
|
|
|
|
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Words Definitions
(WDef) |
49 |
46 |
Average |
|
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Similarities (Sim) |
56 |
73 |
Average |
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Nonverbal Tests |
|
|
|
|
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Matrices (Mat) |
43 |
24 |
Average |
|
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Sequential & Quantitative Reasoning (SQR) |
32 |
04 |
Low |
|
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Spatial Tests |
|
|
|
|
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Recall of Designs (RDes) |
60 |
84 |
High |
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Pattern Construction
(PCon) |
60 |
84 |
High |
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Diagnostic Tests |
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|
|
|
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Recall of Digits (RDig) |
30 |
02 |
Low |
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Recall of Objects - Immediate (ROi) |
55 |
69 |
Average |
|
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Recall of Objects - Delayed (ROd) |
61 |
86 |
Above Average |
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Speed of Information Processing ( SIP) |
35 |
07 |
Low |
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- Even the best tests are not perfectly consistent. Lucky and
unlucky guesses or barely beating or missing time limits, for
example, will cause scores to vary. The 95% confidence band shows
how much scores are likely to vary 95% of the time by pure chance.
WDef = Word Definitions, Sim = Similarities, Mat = Matrices, SQR =
Sequential & Quantitative Reasoning, RDes = Recall of Designs,
PCon = Pattern Construction, RDig = Recall of Digits, ROi = Recall of
Objects-Immediate, ROd = Recall of Objects-Delayed, SIP = Speed of
Information Processing |
The first step in interpreting Kate's results is an examination strictly from
a descriptive point of view - at what level of cognitive ability what did she
perform? Analysis at this stage is considered descriptive in nature since no
statistical comparisons have yet been made. Kate appears to be functioning
overall in the Average range, with a GCA score of 100 (94-106, 59th
percentile, Average). The GCA score comprises her other composite scores, and
these scores range from the low Nonverbal Reasoning score of 78 (70-88, 10th
percentile, Low) to her high Spatial score of 116 (107-124, 81st
percentile, High). Because of the differences between the scores, a careful
analysis of Kate's profile is warranted. Blindly accepting the perfectly Average
GCA score would neglect to take into consideration the seemingly diverse nature
of Kate's abilities.
Examining the subtest T scores also gives some preliminary description about
how Kate performed. Her core subtests ranged from a low of 32 (10th
percentile) on the Sequential & Quantitative Reasoning subtest to a high of
60 (84th percentile) on the two Spatial subtests, Recall of Designs
and Pattern Construction. The scores on the diagnostic subtests given to Kate
also reveal information from which to generate hypotheses. She did poorly on
both the Recall of Digits (2nd percentile) and Speed of Information
Processing (7th percentile) and yet performed average or above on
both the Recall of Objects - Immediate (69th percentile) and -
Delayed (86th percentile) subtests. Since Recall of Digits and Recall
of Objects both involve some aspect of memory, this area will need to be further
explored throughout the interpretation.
To continue the analysis of Kate's scores, examiners should complete each of
the steps outlined in the previous section of this chapter. Completing these
steps allows the hypothesis generation and resulting interpretation to be
integrated with all findings instead of continually generating hypotheses in one
step that might be quickly negated by the next step. For our example, the DAS
Analysis Sheet (Exhibit-4) was
completed.
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