﻿ Table 29 Empirical ICCs and option frequencies

# Table 29 Empirical ICCs and option frequencies

A subtable of plots is shown for each item. The subtables are numbered by Item Entry number. These plots only appear if there is something to show.

 EMPIRICAL & MODEL ICCs : 1. WATCH BIRDS        -+-----+-----+-----+-----+-----+-----+-----+-----+-----+-      2 +          x          xxxxxx xx x x..*...*.......*......+        |                           .......                     | O      |                        ...                            | B      |                    x...                               | S      |                 x  .                                  | E      |              x   ..                                   | R  1.5 +                x.                                     + V      |               ..                                      | E      |              .   xx                                   | D      |             .                                         |        |            .                                          | A      |           .x                                          | V    1 +    xx x x.  x x                                       + E      |        ..                                             | R      |       .                                               | A      |      .    x                                           | G      |     .                                                 | E      |    .                                                  |     .5 +  ..                                                   + S      | .                                                     | C      |.                                                      | O      |                                                       | R      |                                                       | E      |                                                       |      0 +  x   x                                                +        -+-----+-----+-----+-----+-----+-----+-----+-----+-----+-        -2    -1     0     1     2     3     4     5     6     7                 KID MEASURE EMPIRICAL & MODEL ICCs This Table displays, as dots, the model expected score ogive, also called the predicted Item Characteristic Curve (ICC) and the predicted Item Response Function (IRF). The model ICC is shown by '.'. this is the expected average score on the item for persons at each measure relative to the item.   The empirical observed average score per measure, the empirical ICC, is shown by x's. Observed average scores on the items are shown by 'x'. When '.' and 'x' coincide, '*' is shown.   You can use this plot to compute the empirical item discrimination. EMPIRICAL CODE FREQUENCIES: "C"  : 2. 2        ++------+------+------+------+------+------+------+------++    100 +                                                         +     96 +.......                                                  + F   92 +       ....                                              + R   88 +           ..                                            + E   84 +             ..                                          + Q   80 +               ..                                        + U   76 +                 ..                                      + E   72 +                   .                                     + N   68 +                    .                                    + C   64 +                     ..                                  + Y   60 +                       .                                 +     56 +                        .                                + O   52 +                         .                               + F   48 +                          .                              +     44 +                           .                             + R   40 +                            .                            + E   36 +                             ..                          + S   32 +                     C         .                         + P   28 +               C C              .                        + O   24 +                    C    C       ..                      + N   20 +            C          C           ..                    + S   16 +      C                   C CC  C    ..                  + E   12 +                              C        ..                + %    8 +                                  CC     ....            +      4 +                                             ........    +      0 +                                                     ....+        ++------+------+------+------+------+------+------+------++        -4     -3     -2     -1      0      1      2      3      4                               PERSON MEASURE EMPIRICAL CODE FREQUENCIES: multiple-choice items This shows the relative frequency of each item response code for each measure level.   For a multiple-choice item, with C as an incorrect distractor, this could like the plot below. The dots are the Rasch ogive for an incorrect answer. EMPIRICAL CODE FREQUENCIES: "1" Neutral : 1. WATCH BIRDS        -+-----+-----+-----+-----+-----+-----+-----+-----+-----+-    100 +    NN N N   N N                                       +     96 +                                                       + F   92 +                                                       + R   88 +                                                       + E   84 +            N                                          + Q   80 +                                                       + U   76 +           N                                           + E   72 +                                                       + N   68 +                  NN                                   + C   64 +                                                       + Y   60 +                                                       +     56 +          .                                            + O   52 +       ... ...  N                                      + F   48 +     ..       .                                        +     44 +    .          ..                                      + R   40 +  ..             .                                     + E   36 + .            N   .                                    + S   32 +.                N .                                   + P   28 +                    .                                  + O   24 +                    N..                                + N   20 +                       .                               + S   16 +                        ..                             + E   12 +                          ..                           + %    8 +                            ....                       +      4 +                                .......                +      0 +                                       ................+        -+-----+-----+-----+-----+-----+-----+-----+-----+-----+-        -2    -1     0     1     2     3     4     5     6     7                 KID MEASURE EMPIRICAL CODE FREQUENCIES: polytomies For a polytomous item, the percentage frequencies of responses, and the model ordinal probability, of each category are shown at each measure level. The dots are the model curve. "N" is the empirical frequency for category N = Neutral.

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

Now in progress: The Batchelor - Australia - 2018: Rasch Measurement of Romance

 Forum Rasch Measurement Forum to discuss any Rasch-related topic

To receive News Emails about Winsteps and Facets by subscribing to the Winsteps.com email list,

I want to Subscribe: & click below
I want to Unsubscribe: & click below

The Winsteps.com email list is only used to email information about Winsteps, Facets and associated Rasch Measurement activities. Your email address is not shared with third-parties. Every email sent from the list includes the option to unsubscribe.

### Questions, Suggestions? Want to update Winsteps or Facets? Please email Mike Linacre, author of Winsteps mike@winsteps.com

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 Winsteps & Facets Events
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
Oct. 12 - Nov. 9, 2018, Fri.-Fri. On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com
Oct. 24 - 26, 2018,Wed.-Fri. Rasch workshop at Midwest Educational Research Association Annual Meeting, Cincinatti, Ohio (W. Boone, Winsteps), boonewjd@gmail.com

Our current URL is www.winsteps.com