Table 24.3, 24.13, ... Person contrast by items

Please do not interpret this as a usual factor analysis. These plots show contrasts between opposing factors, not loadings on one factor. For more discussion, see dimensionality and contrasts.

 

The effect on the items of the contrast between the oppositely loading persons (Table 24.1) at the top and bottom of the contrast plot is shown here.

 

Table 24.0 Variance components scree plot for persons

Table 24.1, 24.11 Principal components plots of person loadings

Table 24.2, 24.12 Person Principal components analysis/contrast of residuals

Table 24.3, 24.13 Person contrast by items

Table 24.4, 24.14 Person contrast loadings sorted by measure

Table 24.5, 24.15 Person contrast loadings sorted by entry number

Table 24.99 Largest residual correlations for persons

 

Responses by up to 9 persons (or on up to 9 items) to the items (or by the persons) with extreme positive loadings and the items (or persons) with extreme negative loadings are identified. These responses are seen to be higher, as expected, or lower than the model predicts. Counts of these are obtained for each person (or item). The persons (or items) showing the biggest impact of this contrast are listed first. Items and persons showing the most contrast are chosen for this Table based on the "Liking for Science" data.

 

Table 24.3 showis the impact of the first contrast in the person residuals on items:

 

  PUPIL contrast 1 CONTRASTING RESPONSES BY ACTS

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

|          FAVORS TOP             |

| TOP 9 PUPILS   | BOTTOM 9 PUPILS|

| HIGH  EXP. LOW | HIGH  EXP. LOW |      Items biased towards top 9 persons

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

|    9    0    0 |    0    0    9 | 23  WATCH A RAT

|    8    1    0 |    0    1    8 | 5   FIND BOTTLES AND CANS

|    7    2    0 |    1    7    1 | 20  WATCH BUGS

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

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

|          FAVORS BOTTOM          |

| TOP 9 PUPILS   | BOTTOM 9 PUPILS|

| HIGH  EXP. LOW | HIGH  EXP. LOW |      Items biased towards bottom 9 persons

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

|    0    4    5 |    0    9    0 | 13  GROW GARDEN

|    0    5    4 |    0    9    0 | 2   READ BOOKS ON ANIMALS

|    0    5    4 |    0    9    0 | 15  READ ANIMAL STORIES

|    0    5    4 |    0    9    0 | 24  FIND OUT WHAT FLOWERS LIVE ON

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