Table 2.
Weighting schemes
| Weighting scheme | + s | + c | N | - p | - r | COMMENTS | |
|---|---|---|---|---|---|---|---|
| Unweighted | + social | 1 | Ignores the degree of misclassification between categories | ||||
| + care | 0 | 1 | |||||
| Neutral | 0 | 0 | 1 | ||||
| - protective | 0 | 0 | 0 | 1 | |||
| - restrictive | 0 | 0 | 0 | 0 | 1 | ||
| Linear | + social | 1 | Standard weights 1 for ordinal variables in Stata. Weights 1-|i-j|/(k-1), where i and j index the rows and columns, and k the number of categories |
||||
| + care | 1 | 1 | |||||
| Neutral | 0.5 | 0.5 | 1 | ||||
| - protective | 0 | 0 | 0.5 | 1 | |||
| - restrictive | 0 | 0 | 0.5 | 1 | 1 | ||
| Quadratic | + social | 1 | Standard weights 2 for ordinal variables in Stata. Weights 1 - {(i-j)/(k-1)}2. |
||||
| + care | 0.75 | 1 | |||||
| Neutral | 0.5 | 0.75 | 1 | ||||
| - protective | 0.25 | 0.5 | 0.75 | 1 | |||
| - restrictive | 0 | 0.25 | 0.5 | 0.75 | 1 | ||
| A: Weights given to neutral compared to a positive or negative = 0.5, assuming that misclassification between the positives is equal to misclassification between the negatives. | |||||||
| Weighted A1 | + social | 1 | All possibilities from weighting misclassification between the two positives and the two negatives as 1 (will be the same as having only three categories, positive neutral and negative) to weighting it as 0.6. Weighting scheme 4 has a weights of 0.75 (half way between .5 and 1) |
||||
| + care | 1 | 1 | |||||
| Neutral | 0.5 | 0.5 | 1 | ||||
| - protective | 0 | 0 | 0.5 | 1 | |||
| - restrictive | 0 | 0 | 0.5 | 1 | 1 | ||
| Weighted A2 | + social | 1 | |||||
| + care | 0.9 | 1 | |||||
| Neutral | 0.5 | 0.5 | 1 | ||||
| - protective | 0 | 0 | 0.5 | 1 | |||
| - restrictive | 0 | 0 | 0.5 | 0.9 | 1 | ||
| Weighted A3 | + social | 1 | |||||
| + care | 0.8 | 1 | |||||
| Neutral | 0.5 | 0.5 | 1 | ||||
| - protective | 0 | 0 | 0.5 | 1 | |||
| - restrictive | 0 | 0 | 0.5 | 0.8 | 1 | ||
| Weighted A4 | + social | 1 | |||||
| + care | 0.75 | 1 | |||||
| Neutral | 0.5 | 0.5 | 1 | ||||
| - protective | 0 | 0 | 0.5 | 1 | |||
| - restrictive | 0 | 0 | 0.5 | 0.75 | 1 | ||
| Weighted A5 | + social | 1 | |||||
| + care | 0.7 | 1 | |||||
| Neutral | 0.5 | 0.5 | 1 | ||||
| - protective | 0 | 0 | 0.5 | 1 | |||
| - restrictive | 0 | 0 | 0.5 | 0.7 | 1 | ||
| Weighted A6 | + social | 1 | |||||
| + care | 0.6 | 1 | |||||
| Neutral | 0.5 | 0.5 | 1 | ||||
| - protective | 0 | 0 | 0.5 | 1 | |||
| - restrictive | 0 | 0 | 0.5 | 0.6 | 1 | ||
| Weighting scheme | + s | + c | N | - p | - r | COMMENTS | |
| B: Weights using less than 0.5 for neutral compared to a positive or negative and assuming that misclassification between the two positives is equal to misclassification between the two negatives | |||||||
| Weighted B1 | + social | 1 | |||||
| + care | 0.66 | 1 | |||||
| Neutral | 0.33 | 0.33 | 1 | ||||
| - protective | 0 | 0 | 0.33 | 1 | |||
| - restrictive | 0 | 0 | 0.33 | 0.66 | 1 | ||
| Weighted B2 | + social | 1 | |||||
| + care | 0.5 | 1 | |||||
| Neutral | 0.25 | 0.25 | 1 | ||||
| - protective | 0 | 0 | 0.25 | 1 | |||
| - restrictive | 0 | 0 | 0.25 | 0.5 | 1 | ||
| Weighted B3 | + social | 1 | |||||
| + care | 0.5 | 1 | |||||
| Neutral | 0 | 0 | 1 | ||||
| - protective | 0 | 0 | 0 | 1 | |||
| - restrictive | 0 | 0 | 0 | 0.5 | 1 | ||
| C: Weights assuming that misclassification between the two negative categories is less important than misclassification between the two positives and varying the neutral weights | |||||||
| Weighted C1 | + social | 1 | |||||
| + care | 0.5 | 1 | |||||
| Neutral | 0.25 | 0.25 | 1 | ||||
| - protective | 0 | 0 | 0.25 | 1 | |||
| - restrictive | 0 | 0 | 0.25 | 0.75 | 1 | ||
| Weighted C2 | + social | 1 | |||||
| + care | 0.6 | 1 | |||||
| Neutral | 0.4 | 0.4 | 1 | ||||
| - protective | 0 | 0 | 0.4 | 1 | |||
| - restrictive | 0 | 0 | 0.4 | 0.8 | 1 | ||
| Weighted C3 | + social | 1 | |||||
| + care | 0.66 | 1 | |||||
| Neutral | 0.5 | 0.5 | 1 | ||||
| - protective | 0 | 0 | 0.5 | 1 | |||
| - restrictive | 0 | 0 | 0.5 | 0.83 | 1 | ||