Four-facets with item-type interactions: Knox Cube Test

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The Knox Cube Test is examined for bias between gender (sex) and item type

 

Facets specifications and data (in file Kctinter.txt):

 

; kctinter.txt

TITLE='Knox Cube Test with interactions'

Facets = 4  ; four facets: children, items, child gender, item length

Positive = 1  ; for facet 1, children, higher score = higher measure

Noncenter = 1  ; only facet 1, children, does not have mean measure set to zero

Model =

?,?,? ,? ,D  ; elements of the four facets interact to produce dichotomous responses

?,?,?B,?B,D  ; interactions between facets 3 and 4, gender and item length

*

Labels =

1, Children  ; Children are facet 1

1-17  = 1 Boy,,1 ; Boys, in group 1, are numbered 1 through 17. Gender indicated by first character in label

18-35 = 2 Girl,,2 ; Girls, in group 2, are numbered 18 through 35.

*   ; end of child labels for facet 1

2,Tapping items ; Items are facet 2

1  = 2 1-4  ; Items labelled by the order in which the four blocks are tapped

2  = 2 2-3  ; first character in label is the number of taps in the tapping pattern

3  = 3 1-2-4

4  = 3 1-3-4

5  = 3 2-1-4

6  = 3 3-4-1

7  = 4 1-4-3-2

8  = 4 1-4-2-3

9  = 4 1-3-2-4

10 = 4 2-4-3-1

11 = 5 1-3-1-2-4

12 = 5 1-3-2-4-3

13 = 5 1-4-3-2-4

14 = 6 1-4-2-3-4-1

15 = 6 1-3-2-4-1-3

16 = 6 1-4-2-3-1-4

17 = 6 1-4-3-1-2-4

18 = 7-1-3-4-2-1-4

*

3 = Gender, A  ; Dummy facet for child gender, only for interactions

1 = Boy, 0  ; elements anchored at 0 so do not enter into the measure estimation

2 = Girl, 0

*

4 = Number of Taps, A ; Dummy facet for number of taps in an item tapping pattern

2 = 2 taps, 0

3 = 3 taps, 0

4 = 4 taps, 0

5 = 5 taps, 0

6 = 6 taps, 0

7 = 7 taps, 0

*

Dvalues = ; The child gender and number of taps are in the labels, so can be omitted from the data

3, 1, 1, 1 ; Child gender element for Facet 3 is indicated in the label of Facet 1, column 1 length 1

4, 2, 1, 1 ; Item length element for Facet 4 is indicated in the label of Facet 2, column 1 length 1

*

 

; in the data:

; facet 1 element number

; facet 2 element number (a range)

; facet 3 not in data, obtained from Dvalues=

; facet 4 not in data, obtained from Dvalues=

; observations (as many as match range)

 

Data =  ; no data file name, so data follows immediately in this file

1 ,1   ,1 ; child 1 on item 1 scored 1: Facet elements for facets 3 and 4 provided in Dvalues=

1 ,2-18,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0

2 ,1-18,1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0

3 ,1-18,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0

4 ,1-18,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0

5 ,1-18,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0

6 ,1-18,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0

7 ,1-18,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0

8 ,1-18,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0

9 ,1-18,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0

10,1-18,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0

11,1-18,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0

12,1-18,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0

13,1-18,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0

14,1-18,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0

15,1-18,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0

16,1-18,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0

17,1-18,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0

18,1-18,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0

19,1-18,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0

20,1-18,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0

21,1-18,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0

22,1-18,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0

23,1-18,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0

24,1-18,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0

25,1-18,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0

26,1-18,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0

27,1-18,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,0

28,1-18,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0

29,1-18,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0

30,1-18,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0

31,1-18,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0

32,1-18,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0

33,1-18,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0

34,1-18,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0

35,1-18,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0

 

This produces interaction Tables enabling us to investigate the relative performance of the genders on different tapping lengths.

 


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