Note: Table summarizes user choices (12 pairs).
| Consistent | Inconsistent | |
|---|---|---|
|
A vs B
[80, 10, 10] vs [10, 80, 10]
|
67% (2) | 33% (1) |
|
A vs C
[80, 10, 10] vs [10, 10, 80]
|
67% (2) | 33% (1) |
|
B vs C
[10, 80, 10] vs [10, 10, 80]
|
33% (1) | 67% (2) |
| Percentile | A vs B | A vs C | B vs C | Average Percentage |
|---|---|---|---|---|
| 25% | 100% (1/1) | 0% (0/1) | 0% (0/1) | 33% (1/3) |
| 50% | 0% (0/1) | 100% (1/1) | 100% (1/1) | 67% (2/3) |
| 75% | 100% (1/1) | 100% (1/1) | 0% (0/1) | 67% (2/3) |
| All Percentiles | 67% (2/3) | 67% (2/3) | 33% (1/3) | 56% (5/9) |
| Group | Preference Order | Transitivity Status |
|---|---|---|
| Core | B>C>A | Transitive |
| 25% | B>A, A>C, C>B | Intransitive |
| 50% | A>B, C>A, B>C | Intransitive |
| 75% | C>B>A | 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 | B>A | 3/4 |
| A vs. C | C>A | 3/4 |
| B vs. C | B>C | 2/4 |
| A vs B consistency: | 67% |
| A vs C consistency: | 67% |
| B vs C consistency: | 33% |
| Overall Consistency: | 56% |
| 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 |
|---|---|---|
| [42, 32, 26] | 25% Weighted Average (Extreme 1) | |
| ✓ | [25, 50, 25] | 25% Weighted Average (Extreme 2) |
| Choice | Option | Type |
|---|---|---|
| ✓ | [42, 32, 26] | 25% Weighted Average (Extreme 1) |
| [25, 32, 43] | 25% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| [25, 50, 25] | 25% Weighted Average (Extreme 2) | |
| ✓ | [25, 32, 43] | 25% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| ✓ | [55, 25, 20] | 50% Weighted Average (Extreme 1) |
| [20, 60, 20] | 50% Weighted Average (Extreme 2) |
| Choice | Option | Type |
|---|---|---|
| [55, 25, 20] | 50% Weighted Average (Extreme 1) | |
| ✓ | [20, 25, 55] | 50% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| ✓ | [20, 60, 20] | 50% Weighted Average (Extreme 2) |
| [20, 25, 55] | 50% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| [68, 18, 14] | 75% Weighted Average (Extreme 1) | |
| ✓ | [15, 70, 15] | 75% Weighted Average (Extreme 2) |
| Choice | Option | Type |
|---|---|---|
| [68, 18, 14] | 75% Weighted Average (Extreme 1) | |
| ✓ | [15, 18, 67] | 75% Weighted Average (Extreme 3) |
| Choice | Option | Type |
|---|---|---|
| [15, 70, 15] | 75% Weighted Average (Extreme 2) | |
| ✓ | [15, 18, 67] | 75% Weighted Average (Extreme 3) |