Table 35 Paired-person (cheating) agreement

(controlled by PSELECT=, ISELECT=, PSUBTOTAL=, MAXPAGE=, LINELENGTH=)

 

In Table 35, the response string for each person (row) is compared with the response string for every other person (row). The underlying details for Table 35 are reported in the AGREEFILE= file.

 

Sub-samples (groups of persons) can be specified with PSUBTOTAL=. Five plots are displayed for each sub-sample, unless the plot is empty.

 

When Table 35 is launched from the Output Tables menu, the Table 35 dialog box displays.

 

Table 35

Table 35.1-5 - plots for the entire sample or for the accumulated sub-samples selected by PSUBTOTAL=

Table 35.11-15, 35.21-25, ... - plots for sub-samples selected by PSUBTOTAL=

 

x-axis: "Average of two person measures" = average of the ability measures for each pair of two persons.

plotted values: 1-9 are counts of pairs at the x,y coordinates. * is more than 9 pairs.

Table 35.1, 35.11, 35.21, ...

 

     % SAME (PAIRED STUDENT) OBSERVED RESPONSES

     -4     -2       0       2       4       6 

     +-------+-------+-------+-------+-------+ 

100%|                                    1    |

    |                                         |

 90%|                                         |

    |                              1          |

 80%|               11 1                      |

    |                 1                       |

 70%|                  2             2        |

    |       1      1  21 1        1           |

 60%|           1 1  13  1                    |

    |           11 2 4111 1  2 21  2          |

 50%|      1  1212 22224  1  1   11           |

    |         232111 142   1 1 1              |

 40%|           23 1121                       |

    |      1     1     11 11                  |

 30%|       1       21             1          |

    |         1 1 1  1 11                     |

 20%|        1                                |

    |                                         |

 10%|                                         |

    |                                         |

  0%|       1                                 |

     +-------+-------+-------+-------+-------+ 

     -4     -2       0       2       4       6 

      AVERAGE OF THE TWO STUDENT MEASURES      

Table 35.1, 35.11, 35.21, ...

y-axis: "% Same (paired student) observed responses" = the count of items for which both persons have the same response code in CODES= divided by the count of items for which both persons have a non-missing response %.

 

Cheating detection: shared responses. For cheating-detection, see www.rasch.org/rmt/rmt61d.htm

Table 35.2, 35.12, 35.22, ...    

 

% SAME (PAIRED STUDENT) SCORED RESPONSES  

     -4     -2       0       2       4       6 

     +-------+-------+-------+-------+-------+ 

100%|                 1                  1    |

    |                                         |

 90%|                  1                      |

    |              1  1            1          |

 80%|               11   1                    |

    |          1     133                      |

 70%|          1 1 11441 1           2        |

    |       1  1 112 2111 2       1           |

 60%|         114112121      2                |

    |         1111    221  1 1 21  2          |

 50%|      1  1 34 11114         11           |

    |       1     1 1        1 1              |

 40%|        1       1                        |

    |      1        1     11                  |

 30%|                              1          |

    |         1      1 11                     |

 20%|                                         |

    |                                         |

 10%|                                         |

    |                                         |

  0%|       1                                 |

     +-------+-------+-------+-------+-------+ 

     -4     -2       0       2       4       6 

      AVERAGE OF THE TWO STUDENT MEASURES      

Table 35.2, 35.12, 35.22, ...

y-axis: "% Same (paired student) scored responses" = the count of items for which both persons have the same score divided by the count of items for which both persons have a non-missing response %.

Table 35.3, 35.13, 35.23, ...

 

% SAME (PAIRED STUDENT) OBSERVED HIGHEST (RIGHT) RESPONSES

     -4     -2       0       2       4       6 

     +-------+-------+-------+-------+-------+ 

100%|                 1                  1    |

    |                                         |

 90%|                                         |

    |                              1          |

 80%|              1   1                      |

    |                 1  1                    |

 70%|                1 1             2        |

    |               1 2           1           |

 60%|                322  2                   |

    |          1   2 231 1   1 11  2          |

 50%|          1 21211111    2 1 11           |

    |          14111121    1                  |

 40%|         1113   1231    1 1              |

    |       1 1121 121 2   1                  |

 30%|         1           1        1          |

    |         1     11121                     |

 20%|       1   111                           |

    |                1                        |

 10%|                                         |

    |                                         |

  0%|      211                                |

     +-------+-------+-------+-------+-------+ 

     -4     -2       0       2       4       6 

      AVERAGE OF THE TWO STUDENT MEASURES      

Table 35.3, 35.13, 35.23, ...

y-axis: "% Same (paired student) observed highest (right) responses" = the count of items for which both persons have the same highest scored response divided by the count of items for which one or both persons have a highest scored response %.

 

Cheating detection: shared knowledge

Table 35.4, 35.14, 35.24, ...

 

% SAME (PAIRED STUDENT) OBSERVED LOWEST (WRONG) RESPONSES

     -4     -2       0       2       4       6 

     +-------+-------+-------+-------+-------+ 

100%|                                         |

    |                                         |

 90%|                                         |

    |                                         |

 80%|                                         |

    |                                         |

 70%|                                         |

    |                1                        |

 60%|       1       1 11                      |

    |                                         |

 50%|      1                                  |

    |           1      2 1                    |

 40%|           1  1  1                       |

    |      1  2  1   323                      |

 30%|             1 11311                     |

    |         1412 41 21       1              |

 20%|        1 122121224                      |

    |       1   1 1 151 1 21 4 1              |

 10%|           11   11                       |

    |            1                            |

  0%|       1 1 11  1 111111   11124 2        |

     +-------+-------+-------+-------+-------+ 

     -4     -2       0       2       4       6 

      AVERAGE OF THE TWO STUDENT MEASURES      

Table 35.4, 35.14, 35.24, ...

y-axis: "% Same (paired student) observed lowest (wrong) responses" = the count of items for which both persons have the same lowest scored response divided by the count of items for which one or both persons have a lowest scored response %.

 

Cheating detection: shared ignorance - a better indication of cheating than shared knowledge.

Table 35.5, 35.15, 35.25, ...

 

     % SAME (PAIRED STUDENT) MISSING RESPONSES 

     -4     -2       0       2       4       6 

     +-------+-------+-------+-------+-------+ 

100%|                                         |

    |                                         |

 90%|                                    1    |

    |                          1   2 2        |

 80%|          1     1                        |

    |         1   11 11 1    1                |

 70%|           1   11 1   1 2     1          |

    |      11 3331   421 11    1  21          |

 60%|          125  1222 1     11             |

    |      111  21231 55   1 1   1            |

 50%|       1      1 3421 1                   |

    |            1 11   1 1                   |

 40%|               1  2                      |

    |              11                         |

 30%|                                         |

    |                1                        |

 20%|                                         |

    |                                         |

 10%|                                         |

    |                                         |

  0%|                                         |

     +-------+-------+-------+-------+-------+ 

     -4     -2       0       2       4       6 

      AVERAGE OF THE TWO STUDENT MEASURES      

Table 35.5, 35.15, 35.25, ...

y-axis: "% Same (paired student) missing responses" = the count of items for which both persons have a missing response  divided by the count of items for which one or both persons have a missing response %.

 

CAT testing: to detect test overlap, which we want to minimize in order avoid item over-exposure and "tracking" through the item bank.

 


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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
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