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| |
- WJ-R Frequency Table: Cluster vs.
BCA
- Differences
|
Required
Difference Between Cluster Score and BCA (Ext) Score at 5% Level of
Statistical Significance and Frequencies of Such Differences |
|
|
|
|
Difference
Score |
Cumulative % |
|
BCA
vs Cluster |
|
|
1% |
2% |
5% |
10% |
15% |
20% |
25% |
|
BCA(Ext) |
|
Glr |
8.57 |
|
33 |
30 |
25 |
21 |
18 |
16 |
15 |
|
|
|
Gsm |
11.57 |
|
32 |
28 |
24 |
20 |
18 |
16 |
14 |
|
|
|
Gs |
11.98 |
|
38 |
34 |
29 |
24 |
21 |
19 |
17 |
|
|
|
Ga |
10.88 |
|
34 |
30 |
24 |
20 |
18 |
16 |
15 |
|
|
|
Gv |
13.95 |
|
39 |
35 |
29 |
24 |
22 |
19 |
17 |
|
|
|
Gc |
9.01 |
|
29 |
26 |
21 |
18 |
16 |
14 |
12 |
|
|
|
Gf |
8.47 |
|
31 |
28 |
23 |
19 |
16 |
15 |
13 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Required
Difference Between Cluster Score and BCA (Std) Score at 5% Level of
Statistical Significance and Frequencies of Such Differences |
|
|
|
|
Difference
Score
|
Cumulative % |
|
BCA
vs Cluster |
|
|
1% |
2% |
5% |
10% |
15% |
20% |
25% |
|
BCA(Std) |
|
MFN |
10.23 |
|
37 |
34 |
28 |
23 |
20 |
18 |
16 |
|
|
|
MFS |
10.72 |
|
32 |
29 |
24 |
21 |
18 |
16 |
15 |
|
|
|
VM |
14.82 |
|
41 |
35 |
30 |
25 |
22 |
19 |
17 |
|
|
|
IncW |
13.44 |
|
40 |
36 |
30 |
25 |
22 |
19 |
18 |
|
|
|
VCl |
17.09 |
|
42 |
38 |
32 |
27 |
23 |
21 |
19 |
|
|
|
PVoc |
12.01 |
|
33 |
30 |
25 |
21 |
18 |
16 |
14 |
|
|
|
A/S |
10.60 |
|
36 |
32 |
26 |
22 |
19 |
17 |
15 |
| Note:
The differences required for statistical significance are based on the
average standard errors of measurement across all ages and calculated with
the following formula provided by Davis (1959): Difference score = Z
SQRT[(SEmt^2)/K^2+[(K-2)/K](SEmi^2)], where Z is the normal curve value
associated with the desired significance level derived with the Bonferroni
correction for multiple comparisons, K is the number of tests in the
comparison, SEmt^2 is the sum of the squared standard errors of
measurement for all tests in the comparison, and SEmi^2 is the squared
standard error of measurement for the test of interest.
John and Ron thank Dr. Woodcock for his very generous granting of access to
portions of the WJ-R standardization data and for his kind permission to post these tables. |
|
Woodcock, R. W., & Mather, N. (1989). WJ-R Tests of Cognitive Ability --Standard and Supplemental Batteries: Examiner's Manual. In R. W. Woodcock &
M. B. Johnson, Woodcock-Johnson Psycho-Educational Battery--Revised. Chicago: Riverside Publishing Co. All rights reserved. |
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