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 persons of the contrast between the oppositely loading items (Table 23.1) at the top and bottom of the contrast plot is shown here.
Table 23.0 Variance components scree plot for items
Table 23.1, 23.11 Principal components plots of item loadings
Table 23.2, 23.12 Item Principal components analysis/contrast of residuals
Table 23.3, 23.13 Item contrast by persons
Table 23.4, 23.14 Item contrast loadings sorted by measure
Table 23.5, 23.15 Item contrast loadings sorted by entry number
Table 23.6, 23.16 Person measures for item clusters in contrast. Cluster Measure Plot for Table 23.6.
Table 23.99 Largest residual correlations for items
Youtube video explaining Table 23
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 23.3 shows the impact of the first contrast in Table 23.1 on persons:
ACT contrast 1 CONTRASTING RESPONSES BY PUPILS
+---------------------------------+
| FAVORS TOP |
| TOP 7 ACTS | BOTTOM 7 ACTS |
| HIGH EXP. LOW | HIGH EXP. LOW | Persons scoring higher than expected on the top 7 items
+---------------------------------+
| 5 2 0 | 0 3 4 | 15 DYSON, STEPHIE NINA
| 5 2 0 | 0 3 4 | 26 NEIMAN, RAYMOND
+---------------------------------+
+---------------------------------+
| FAVORS BOTTOM |
| TOP 7 ACTS | BOTTOM 7 ACTS |
| HIGH EXP. LOW | HIGH EXP. LOW | Persons scoring higher than expected on the bottom 7 items
+---------------------------------+
| 0 3 4 | 0 7 0 | 8 LAMBERT, MD., ROSS W.
| 0 3 4 | 0 7 0 | 11 HSIEH, PAUL FRED
| 0 5 2 | 3 3 1 | 32 ROSSNER, JACK
| 0 3 4 | 0 7 0 | 51 REISS, STEVE
+---------------------------------+
FAVORS TOP
|
These persons score higher on the items at the top of the Contrast 1 plot in Table 23.1 than the items at the bottom of the contrast plot
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FAVORS BOTTOM
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These persons score higher on the items at the bottom of the Contrast 1 plot in Table 23.1 than the items at the top of the contrast plot
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TOP 7 ACTS
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Responses for the top 7 items (or top half of the items if less than 7) on the Contrast plot
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BOTTOM 7 ACTS
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Responses for the bottom 7 items (or top half of the items if less than 7) on the Contrast plot
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HIGH
|
Person response is higher than expected on this many items
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EXP.
|
Person response is expected (within 0.5 score points) on this many items
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LOW
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Person response is lower than expected on this many items
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15 DYSON, STEPHIE NINA
|
Person entry number and person label.
Persons with greatest differential performance between TOP and BOTTOM are shown with strongest difference listed first.
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15 DYSON, STEPHIE NINA
8 LAMBERT, MD., ROSS W.
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The effect of the 1st Contrast is more strongly seen in the performance of these two persons. Is there something about them that interacts with the set of items?
|
