4 facet item-type interactions: Knox Cube Test

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.

 


Help for Facets Rasch Measurement Software: www.winsteps.com Author: John Michael Linacre.
 

For more information, contact info@winsteps.com or use the Contact Form
 

Facets Rasch measurement software. Buy for $149. & site licenses. Freeware student/evaluation download
Winsteps Rasch measurement software. Buy for $149. & site licenses. Freeware student/evaluation download

State-of-the-art : single-user and site licenses : free student/evaluation versions : download immediately : instructional PDFs : user forum : assistance by email : bugs fixed fast : free update eligibility : backwards compatible : money back if not satisfied
 
Rasch, Winsteps, Facets online Tutorials

 

Forum Rasch Measurement Forum to discuss any Rasch-related topic

Click here to add your email address to the Winsteps and Facets email list for notifications.

Click here to ask a question or make a suggestion about Winsteps and Facets software.

Rasch Publications
Rasch Measurement Transactions (free, online) Rasch Measurement research papers (free, online) Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch Applying the Rasch Model 3rd. Ed., Bond & Fox Best Test Design, Wright & Stone
Rating Scale Analysis, Wright & Masters Introduction to Rasch Measurement, E. Smith & R. Smith Introduction to Many-Facet Rasch Measurement, Thomas Eckes Invariant Measurement with Raters and Rating Scales: Rasch Models for Rater-Mediated Assessments, George Engelhard, Jr. & Stefanie Wind Statistical Analyses for Language Testers, Rita Green
Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar Journal of Applied Measurement Rasch models for measurement, David Andrich Constructing Measures, Mark Wilson Rasch Analysis in the Human Sciences, Boone, Stave, Yale
in Spanish: Análisis de Rasch para todos, Agustín Tristán Mediciones, Posicionamientos y Diagnósticos Competitivos, Juan Ramón Oreja Rodríguez
Winsteps Tutorials Facets Tutorials Rasch Discussion Groups

 

Coming Rasch-related Events
Jan. 5 - Feb. 2, 2018, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com
Jan. 10-16, 2018, Wed.-Tues. In-person workshop: Advanced Course in Rasch Measurement Theory and the application of RUMM2030, Perth, Australia (D. Andrich), Announcement
Jan. 17-19, 2018, Wed.-Fri. Rasch Conference: Seventh International Conference on Probabilistic Models for Measurement, Matilda Bay Club, Perth, Australia, Website
Jan. 22-24, 2018, Mon-Wed. In-person workshop: Rasch Measurement for Everybody en español (A. Tristan, Winsteps), San Luis Potosi, Mexico. www.ieia.com.mx
April 10-12, 2018, Tues.-Thurs. Rasch Conference: IOMW, New York, NY, www.iomw.org
April 13-17, 2018, Fri.-Tues. AERA, New York, NY, www.aera.net
May 22 - 24, 2018, Tues.-Thur. EALTA 2018 pre-conference workshop (Introduction to Rasch measurement using WINSTEPS and FACETS, Thomas Eckes & Frank Weiss-Motz), https://ealta2018.testdaf.de
May 25 - June 22, 2018, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com
June 27 - 29, 2018, Wed.-Fri. Measurement at the Crossroads: History, philosophy and sociology of measurement, Paris, France., https://measurement2018.sciencesconf.org
June 29 - July 27, 2018, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Further Topics (E. Smith, Winsteps), www.statistics.com
July 25 - July 27, 2018, Wed.-Fri. Pacific-Rim Objective Measurement Symposium (PROMS), (Preconference workshops July 23-24, 2018) Fudan University, Shanghai, China "Applying Rasch Measurement in Language Assessment and across the Human Sciences" www.promsociety.org
Aug. 10 - Sept. 7, 2018, Fri.-Fri. On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets), www.statistics.com
Sept. 3 - 6, 2018, Mon.-Thurs. IMEKO World Congress, Belfast, Northern Ireland www.imeko2018.org
Oct. 12 - Nov. 9, 2018, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com

 

Our current URL is www.winsteps.com

Winsteps® is a registered trademark
 

Concerned about aches, pains, youthfulness? Mike and Jenny suggest Liquid Biocell