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WJ-R Frequency Table: 21 Subtests

Required Difference Between Single Scores and Mean Score at  5% Level of Statistical Significance and Frequencies of Such Differences

Average of 21  Subtests

Significance Level

Cumulative %

Cluster

0.05

1%

2%

5%

10%

15%

20%

25%

Memory for Names

13.63

33

31

24

19

17

15

13

Memory for Sentences

14.43

28

26

22

19

16

15

13

Visual Matching

20.88

33

30

26

22

19

16

14

Incomplete Words

18.74

33

31

26

24

18

16

14

Visual Closure

24.37

37

34

29

23

19

17

16

Picture Vocabulary

16.50

33

30

24

20

18

16

14

Analysis/Synthesis

14.23

32

29

23

20

18

16

14

Visual Auditory Learning

12.70

33

28

22

18

15

13

12

Memory for Words

20.56

31

30

25

21

18

16

14

Cross Out

22.15

32

30

27

21

19

17

15

Sound Blending

16.21

33

29

24

19

17

15

13

Picture Recognition

18.79

39

36

29

24

22

20

18

Oral Vocabulary

14.50

25

24

21

16

14

12

11

Concept Formation

11.78

29

27

22

19

16

14

12

Delayed Recall-MFN

13.42

39

33

27

22

19

16

14

Delayed Recall- VAL

13.63

37

33

27

22

19

17

15

Numbers Reversed

16.10

39

36

29

23

20

18

16

Sound Patterns

15.68

34

32

26

21

18

17

15

Spatial relations

19.04

36

33

27

23

17

17

16

Listening Comprehension

19.29

26

24

21

18

16

14

13

Verbal Analogies

13.90

28

26

22

18

15

14

12

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.