Table 23.6, 23.16 Person measures for item clusters in contrast

----------------------------------------------------------------------------------------

|                         CONTRAST 1  CLUSTER MEASURES                                 |

|                   CLUSTER 1       CLUSTER 2       CLUSTER 3                          |

|     KID  STATUS  MEASURE  S.E.   MEASURE  S.E.   MEASURE  S.E.  KID LABEL            |

|       1     1      -2.44  1.28     -3.37  1.11      -.48  1.98  Richard M 1111111000 |

|       2     1        .90  3.21       .37  1.84      -.50  2.00  Tracie  F 1111111111 |

|       3     1        .90  3.21     -1.99  1.28      1.22  1.34  Walter  M 1111111110 |

|       4     1      -3.95  1.27     -3.37  1.11      -.48  1.98  Blaise  M 1111001010 |

|       5     1        .90  3.21       .37  1.84      -.50  2.00  Ron     M 1111111111 |

|       6     1        .90  3.21       .37  1.84      -.50  2.00  William M 1111111111 |

|       7     1        .90  3.21      2.83  2.11      4.39  1.34  Susan   F 1111111111 |

|       8     1        .90  3.21       .37  1.84      -.50  2.00  Linda   F 1111111111 |

|       9     1        .90  3.21       .37  1.84      -.50  2.00  Kim     F 1111111111 |

|      10     1        .90  3.21       .37  1.84      1.22  1.34  Carol   F 1111111111 |

|      11     1        .90  3.21     -3.37  1.11      -.50  2.00  Pete    M 1110111110 |

|      12     1      -3.95  1.27       .36  1.83      -.48  1.98  Brenda  F 1111101011 |

|      13     1      -3.95  1.27       .35  1.83      2.80  1.22  Mike    M 1111100111 |

|      14     1        .90  3.21       .37  1.84      1.22  1.34  Zula    F 1111111111 |

|      15     1        .90  3.21      2.83  2.11      2.80  1.22  Frank   M 1111111111 |

|      16     1        .90  3.21     -1.99  1.28      1.22  1.34  Dorothy F 1111111110 |

|      17     1        .90  3.21     -1.99  1.28      -.50  2.00  Rod     M 1111011111 |

|      18     1        .90  3.21      2.83  2.11      -.50  2.00  Britton F 1111111111 |

|      19     1        .90  3.21     -1.99  1.28      -.50  2.00  Janet   F 1111111110 |

|      20     1        .90  3.21      2.83  2.11      -.50  2.00  David   M 1111111111 |

|      21     1        .90  3.21      2.83  2.11      1.22  1.34  Thomas  M 1111111111 |

|      22     1        .90  3.21       .37  1.84      2.80  1.22  Betty   F 1111111111 |

|      23     1        .90  3.21      2.83  2.11      1.22  1.34  Bert    M 1111111111 |

|      24     1       6.51  1.96      2.83  2.11      1.22  1.34  Rick    M 1111111111 |

|      25     1      -3.95  1.27     -4.66  1.22      -.48  1.98  Don     M 1110110000 |

|      26     1        .90  3.21       .37  1.84      -.50  2.00  Barbara F 1111111111 |

|      27     1      -2.44  1.28     -3.37  1.11      -.48  1.98  Adam    M 1111111000 |

|      28     1        .90  3.21     -1.99  1.28      1.22  1.34  Audrey  F 1111111110 |

|      29     1      -3.95  1.27       .35  1.83      2.80  1.22  Anne    F 1111110011 |

|      30     1        .90  3.21     -1.99  1.28      -.50  2.00  Lisa    F 1111111110 |

|      31     1        .90  3.21       .37  1.84      -.50  2.00  James   M 1111111111 |

|      32     1        .90  3.21       .37  1.84      1.22  1.34  Joe     M 1111111111 |

|      33     1      -3.95  1.27     -3.37  1.11      -.48  1.98  Martha  F 1111001001 |

|      34     1        .90  3.21       .37  1.84      2.80  1.22  Elsie   F 1111111111 |

|      35    -1      -5.50  1.92     -6.16  1.91      -.50  1.99  Helen   F 1110000000 |

----------------------------------------------------------------------------------------

 

This subtable shows the estimated person measures and standard errors for each cluster of items in the PCA contrast. The cluster correlations are computed from these measures and reported in Table 23.0. Scatterplots of the person measures in Table 23.6 for each item cluster in Table 23.1 are shown in the Cluster Measure Plot.

 

For Smith's (2002) "dimensionality" method:

1. Analyze all the data. Table 23.1 identifies Item cluster 1 and Item cluster 3

2. Table 23.6 has the person measures and S.E.s.

3. Conduct t-tests.

 

Smith EV Jr. Detecting and evaluating the impact of multidimensionality using item fit statistics and principal component analysis of residuals. J Appl Meas. 2002;3(2):205-31.

 

 

 

Table 23.0 Variance components scree plot for items

Table 23.1, 23.11 Principal components plots of item loadings

Table 23.2, 23.12 Item Principal components analysis/contrast of residuals

Table 23.3, 23.13 Item contrast by persons

Table 23.4, 23.14 Item contrast loadings sorted by measure

Table 23.5, 23.15 Item contrast loadings sorted by entry number

Table 23.6, 23.16 Person measures for item clusters in contrast. Cluster Measure Plot for Table 23.6.

Table 23.99 Largest residual correlations for items


Help for Winsteps 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