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.

 

See also Graphs menu: Expected and Empirical ICCs

       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.

 

- See also Graphs menu: Empirical category category curves

       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.


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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: Using Rasch Models in the Social, Behavioral, and Health Sciences, George Engelhard, Jr. 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
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