Table 2.11 Modal categories by category score (most probable)

(controlled by T2SELECT=, MRANGE=, CATREF=)

 

Table 2 for multiple-choice items.

Table 2 for polytomous items.

 

MOST PROBABLE RESPONSE: MODE  (BETWEEN "0" AND "1" IS "0", ETC.) (BY CATEGORY SCORE)

-5   -4    -3    -2    -1     0     1     2     3     4     5

|-----+-----+-----+-----+-----+-----+-----+-----+-----+-----|  NUM   TAP

0                                                          11   15  1-3-2-4-1-3

0                                                          11   16  1-4-2-3-1-4

0                                                          11   17  1-4-3-1-2-4

|                                                           |

|                                                           |

0                                                 1         1   14  1-4-2-3-4-1

|                                                           |

0                                          1                1   12  1-3-2-4-3

0                                         1                 1   13  1-4-3-2-4

|                                                           |

0                                  1                        1   11  1-3-1-2-4

|                                                           |

|                                                           |

0                    1                                      1   10  2-4-3-1

|                                                           |

0               1                                           1    8  1-4-2-3

|                                                           |

0         1                                                 1    6  3-4-1

0         1                                                 1    9  1-3-2-4

0      1                                                    1    5  2-1-4

0      1                                                    1    7  1-4-3-2

0   1                                                       1    4  1-3-4

|-----+-----+-----+-----+-----+-----+-----+-----+-----+-----|  NUM   TAP

-5   -4    -3    -2    -1     0     1     2     3     4     5

 

                            1

1   1   2   2    2    3     2       5     4    1    2          KID

 T            S             M            S            T

0      10       20   30    60      80    90        99          PERCENTILE

 

Multiple-choice items

 

Table 2.11 shows the most probable response on the latent variable. Table 2.11 is the same as Table 2.1, but the options are shown by their scored values, not by their codes in the data.

 

TABLE 2.11: MOST PROBABLE RESPONSE: MODE  (BETWEEN "0" AND "1" IS "0", ETC.) (BY CATEGORY SCORE)

-4    -3     -2     -1      0      1      2      3      4

|------+------+------+------+------+------+------+------|  NUM   TOPIC

0                                                  1    1   55  al07  newspaper

0                                                 1     1   64  sa01  magazine

|------+------+------+------+------+------+------+------|  NUM   TOPIC

-4    -3     -2     -1      0      1      2      3      4

 

      1        11 1111 111 212 3 2 12   12 1     1      2  STUDENTS

      T            S           M           S            T

      0        10  20  30 40 50 60 70  80 90           99  PERCENTILE

 

M = Mean, the average of the person measures, S = One Standard Deviation from the mean, T = Two P.SDs. from the mean. Percentile is percentage below the specified position.

 

 

---

 

Polytomous items

 

Tables 2.1 & 2.11: The "Most Probable Response" Table, selected with CURVES=001, answers the question "which category is a person of a particular measure most likely to choose?" This is the most likely category with which the persons of logit (or user-rescaled) measure shown below would respond to the item shown on the left. The area to the extreme left is all "0"; the area to the extreme right is at the top category. Each category number is shown to the left of its modal area. If a category is not shown, it is never a most likely response. An item with an extreme, perfect (maximum possible) or zero (minimum possible), score is not strictly estimable, and is omitted here. Blank lines are used to help approximate the placement of the items on the latent variable.

 

This table presents in one picture the results of this analysis in a form suitable for inference. We can predict for people of any particular measure what responses they would probably make. "M" depicts an "average" person. The left "T" a low performer. The right "T" a high performer. Look straight up from those letters to read off the expected response profiles.

 

Table 2.1 to 2.7 reports with observed categories, i.e., those in the CODES= statement.

Table 2.11 to 2.17 report with scored categories, i.e., after IVALUE=, RESCORE=, KEY1=, etc., if any.

 

MOST PROBABLE RESPONSE: MODE  (BETWEEN "0" AND "1" IS "0", ETC.) (BY CATEGORY SCORE)

-6       -4        -2         0         2         4         6

|---------+---------+---------+---------+---------+---------|  NUM   ACT

0                                     1       2             2    5  FIND BOTTLES AND CANS

|                                                           |

0                                    1       2              2   23  WATCH A RAT

|                                                           |

0                                  1       2                2   20  WATCH BUGS

0                                  1       2                2    4  WATCH GRASS CHANGE

0                                 1        2                2    8  LOOK IN SIDEWALK CRACKS

|                                                           |

0         1        2                                        2   18  GO ON PICNIC

|---------+---------+---------+---------+---------+---------|  NUM   ACT

-6       -4        -2         0         2         4         6

 

                               1

                      12 2 2117083563422342 111 1 1   1     1  KID

                     T      S      M      S     T

                      0    10 30 50 70 80 90               99  PERCENTILE