Note: Table summarizes user choices (12 pairs).
| Consistent | Inconsistent | |
|---|---|---|
|
A vs B
[80, 10, 10] vs [10, 80, 10]
|
100% (3) | 0% (0) |
|
A vs C
[80, 10, 10] vs [10, 10, 80]
|
67% (2) | 33% (1) |
|
B vs C
[10, 80, 10] vs [10, 10, 80]
|
67% (2) | 33% (1) |
| Percentile | A vs B | A vs C | B vs C | Average Percentage |
|---|---|---|---|---|
| 25% | 100% (1/1) | 100% (1/1) | 100% (1/1) | 100% (3/3) |
| 50% | 100% (1/1) | 0% (0/1) | 0% (0/1) | 33% (1/3) |
| 75% | 100% (1/1) | 100% (1/1) | 100% (1/1) | 100% (3/3) |
| All Percentiles | 100% (3/3) | 67% (2/3) | 67% (2/3) | 78% (7/9) |
| Group | Preference Order | Transitivity Status |
|---|---|---|
| Core | A>B>C | Transitive |
| 25% | A>B>C | Transitive |
| 50% | C>A>B | Transitive |
| 75% | A>B>C | Transitive |
This table summarizes the consistency of choices for each pair of options across all percentile groups.
| Comparison Pair | Dominant Preference | Consistent Groups |
|---|---|---|
| A vs. B | A>B | 4/4 |
| A vs. C | A>C | 3/4 |
| B vs. C | B>C | 3/4 |
| A vs B consistency: | 100% |
| A vs C consistency: | 67% |
| B vs C consistency: | 67% |
| Overall Consistency: | 78% |
| Choice | Option | Type |
|---|---|---|
| ✓ | [80, 10, 10] | Extreme Vector 1 |
| [10, 80, 10] | Extreme Vector 2 |
| Choice | Option | Type |
|---|---|---|
| ✓ | [80, 10, 10] | Extreme Vector 1 |
| [10, 10, 80] | Extreme Vector 3 |
| Choice | Option | Type |
|---|---|---|
| ✓ | [10, 80, 10] | Extreme Vector 2 |
| [10, 10, 80] | Extreme Vector 3 |
| Choice | Option | Type |
|---|---|---|
| ✓ | [65, 25, 10] | 25% Weighted Average (Extreme 1) |
| [48, 42, 10] | 25% Weighted Average (Extreme 2) |
| Choice | Option | Type |
|---|---|---|
| ✓ | [65, 25, 10] | 25% Weighted Average (Extreme 1) |
| [48, 25, 27] | 25% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| ✓ | [48, 42, 10] | 25% Weighted Average (Extreme 2) |
| [48, 25, 27] | 25% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| ✓ | [70, 20, 10] | 50% Weighted Average (Extreme 1) |
| [35, 55, 10] | 50% Weighted Average (Extreme 2) |
| Choice | Option | Type |
|---|---|---|
| [70, 20, 10] | 50% Weighted Average (Extreme 1) | |
| ✓ | [35, 20, 45] | 50% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| [35, 55, 10] | 50% Weighted Average (Extreme 2) | |
| ✓ | [35, 20, 45] | 50% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| ✓ | [75, 15, 10] | 75% Weighted Average (Extreme 1) |
| [22, 68, 10] | 75% Weighted Average (Extreme 2) |
| Choice | Option | Type |
|---|---|---|
| ✓ | [75, 15, 10] | 75% Weighted Average (Extreme 1) |
| [22, 15, 63] | 75% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| ✓ | [22, 68, 10] | 75% Weighted Average (Extreme 2) |
| [22, 15, 63] | 75% Weighted Average (Extreme 3) |