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User e51b64cf248a1e7c2dabf9fa63368675 Responses

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Survey Response Breakdown - Survey 117

User ID Submitted At Duration Ideal budget Concentrated ChangeDistributed ChangeTriangle Inequality Consistency View Response
e51b64cf2... e51b64cf248a1e7c2dabf9fa63368675 21-12-2025 11:39 N/A [60, 20, 20] 58.3%41.7%58.3% View Response

Survey Response Breakdown - Survey 140

User ID Submitted At Duration Ideal budget l1leontief View Response
e51b64cf2... e51b64cf248a1e7c2dabf9fa63368675 21-01-2026 15:08 N/A [30, 30, 40] 0%0% View Response

Survey Response Breakdown - Survey 143

User ID Submitted At Duration Ideal budget l1leontief View Response
e51b64cf2... e51b64cf248a1e7c2dabf9fa63368675 13-07-2026 12:00 401s [20, 40, 30, 10] 0%0% View Response

Survey Response Breakdown - Survey 181

User ID Submitted At Duration Ideal budget cosine_similarityleontief View Response
e51b64cf2... e51b64cf248a1e7c2dabf9fa63368675 22-07-2026 22:01 167s [10, 40, 30, 20] 0%0% View Response

User ID: e51b64cf248a1e7c2dabf9fa63368675

Survey ID: 117

Ideal budget: [60, 20, 20]
⏱️ Response Time: N/A

Triangle Inequality Analysis

This table shows the user's preferences between concentrated changes (all change in one year) versus distributed changes (changes across both years).

Prefers Concentrated
Concentrated Change Distributed Change User Consistency
58.3% 41.7% 58.3%
Pairs List
ℹ️
Group (G1/G2) = Two different budget change scenarios
Rotation (R0/R1/R2) = Cyclic rotation of affected categories
Pair #1
Original choice: Option 1
Choice Option Type
Year 1: [60, 20, 20]
Year 2: [65, 30, 5]
 Triangle Concentrated (+) - G1 R0
✓
Year 1: [65, 20, 15]
Year 2: [60, 30, 10]
 Triangle Distributed (+) - G1 R0
Pair #2
Original choice: Option 2
Choice Option Type
✓
Year 1: [60, 20, 20]
Year 2: [55, 10, 35]
 Triangle Concentrated (-) - G1 R0
Year 1: [55, 20, 25]
Year 2: [60, 10, 30]
 Triangle Distributed (-) - G1 R0
Pair #3
Original choice: Option 2
Choice Option Type
✓
Year 1: [60, 20, 20]
Year 2: [45, 25, 30]
 Triangle Concentrated (+) - G1 R1
Year 1: [55, 25, 20]
Year 2: [50, 20, 30]
 Triangle Distributed (+) - G1 R1
Pair #4
Original choice: Option 1
Choice Option Type
✓
Year 1: [60, 20, 20]
Year 2: [75, 15, 10]
 Triangle Concentrated (-) - G1 R1
Year 1: [65, 15, 20]
Year 2: [70, 20, 10]
 Triangle Distributed (-) - G1 R1
Pair #5
Original choice: Option 2
Choice Option Type
Year 1: [60, 20, 20]
Year 2: [70, 5, 25]
 Triangle Concentrated (+) - G1 R2
✓
Year 1: [60, 15, 25]
Year 2: [70, 10, 20]
 Triangle Distributed (+) - G1 R2
Pair #6
Original choice: Option 1
Choice Option Type
Year 1: [60, 20, 20]
Year 2: [50, 35, 15]
 Triangle Concentrated (-) - G1 R2
✓
Year 1: [60, 25, 15]
Year 2: [50, 30, 20]
 Triangle Distributed (-) - G1 R2
Pair #7
Original choice: Option 2
Choice Option Type
Year 1: [60, 20, 20]
Year 2: [64, 24, 12]
 Triangle Concentrated (+) - G2 R0
✓
Year 1: [64, 20, 16]
Year 2: [60, 24, 16]
 Triangle Distributed (+) - G2 R0
Pair #8
Original choice: Option 2
Choice Option Type
Year 1: [60, 20, 20]
Year 2: [56, 16, 28]
 Triangle Concentrated (-) - G2 R0
✓
Year 1: [56, 20, 24]
Year 2: [60, 16, 24]
 Triangle Distributed (-) - G2 R0
Pair #9
Original choice: Option 2
Choice Option Type
✓
Year 1: [60, 20, 20]
Year 2: [52, 24, 24]
 Triangle Concentrated (+) - G2 R1
Year 1: [56, 24, 20]
Year 2: [56, 20, 24]
 Triangle Distributed (+) - G2 R1
Pair #10
Original choice: Option 1
Choice Option Type
✓
Year 1: [60, 20, 20]
Year 2: [68, 16, 16]
 Triangle Concentrated (-) - G2 R1
Year 1: [64, 16, 20]
Year 2: [64, 20, 16]
 Triangle Distributed (-) - G2 R1
Pair #11
Original choice: Option 2
Choice Option Type
✓
Year 1: [60, 20, 20]
Year 2: [64, 12, 24]
 Triangle Concentrated (+) - G2 R2
Year 1: [60, 16, 24]
Year 2: [64, 16, 20]
 Triangle Distributed (+) - G2 R2
Pair #12
Original choice: Option 2
Choice Option Type
✓
Year 1: [60, 20, 20]
Year 2: [56, 28, 16]
 Triangle Concentrated (-) - G2 R2
Year 1: [60, 24, 16]
Year 2: [56, 24, 20]
 Triangle Distributed (-) - G2 R2

Survey ID: 140

Ideal budget: [30, 30, 40]
⏱️ Response Time: N/A
Survey Summary
Choice Percentage
l1 (Rank) 60%
leontief (Rank) 40%
Pairs List
Pair #1
Original choice: Option 1
Pair Score: 0.34
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[10, 35, 55] l1: {best: -40.00, worst: -70.00}
✓ [15, 65, 20] leontief: {best: 0.50, worst: 0.33}
Pair #2
Original choice: Option 2
Pair Score: 0.34
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[40, 10, 50] l1: {best: -40.00, worst: -70.00}
✓ [65, 15, 20] leontief: {best: 0.50, worst: 0.33}
Pair #3
Original choice: Option 2
Pair Score: 0.33
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [10, 30, 60] l1: {best: -40.00, worst: -60.00}
[60, 15, 25] leontief: {best: 0.50, worst: 0.33}
Pair #4
Original choice: Option 1
Pair Score: 0.33
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [35, 10, 55] l1: {best: -40.00, worst: -60.00}
[15, 60, 25] leontief: {best: 0.50, worst: 0.33}
Pair #5
Original choice: Option 2
Pair Score: 0.33
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [10, 45, 45] l1: {best: -40.00, worst: -60.00}
[20, 60, 20] leontief: {best: 0.50, worst: 0.33}
Pair #6
Original choice: Option 2
Pair Score: 0.33
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [10, 50, 40] l1: {best: -40.00, worst: -60.00}
[15, 15, 70] leontief: {best: 0.50, worst: 0.33}
Pair #7
Original choice: Option 1
Pair Score: 0.33
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [30, 10, 60] l1: {best: -40.00, worst: -60.00}
[60, 20, 20] leontief: {best: 0.50, worst: 0.33}
Pair #8
Original choice: Option 2
Pair Score: 0.19
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [55, 35, 10] l1: {best: -60.00, worst: -80.00}
[70, 15, 15] leontief: {best: 0.38, worst: 0.25}
Pair #9
Original choice: Option 2
Pair Score: 0.19
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[35, 55, 10] l1: {best: -60.00, worst: -80.00}
✓ [15, 70, 15] leontief: {best: 0.38, worst: 0.25}
Pair #10
Original choice: Option 2
Pair Score: 0.18
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[45, 45, 10] l1: {best: -60.00, worst: -90.00}
✓ [10, 75, 15] leontief: {best: 0.33, worst: 0.25}

Survey ID: 143

Ideal budget: [20, 40, 30, 10]
⏱️ Response Time: 401s
Survey Summary
Choice Percentage
l1 (Rank) 90%
leontief (Rank) 10%
Pairs List
Pair #1
Original choice: Option 1
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [20, 50, 10, 20] l1: {best: -40.00, worst: -70.00}
[35, 20, 15, 30] leontief: {best: 0.50, worst: 0.33}
Pair #2
Original choice: Option 2
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[20, 50, 10, 20] l1: {best: -40.00, worst: -70.00}
✓ [55, 20, 15, 10] leontief: {best: 0.50, worst: 0.33}
Pair #3
Original choice: Option 1
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [20, 50, 10, 20] l1: {best: -40.00, worst: -70.00}
[50, 20, 15, 15] leontief: {best: 0.50, worst: 0.33}
Pair #4
Original choice: Option 2
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [45, 35, 10, 10] l1: {best: -50.00, worst: -80.00}
[10, 20, 20, 50] leontief: {best: 0.50, worst: 0.33}
Pair #5
Original choice: Option 1
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [40, 40, 10, 10] l1: {best: -40.00, worst: -80.00}
[10, 20, 20, 50] leontief: {best: 0.50, worst: 0.33}
Pair #6
Original choice: Option 2
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [40, 35, 10, 15] l1: {best: -50.00, worst: -80.00}
[10, 20, 20, 50] leontief: {best: 0.50, worst: 0.33}
Pair #7
Original choice: Option 1
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [30, 50, 10, 10] l1: {best: -40.00, worst: -70.00}
[55, 20, 15, 10] leontief: {best: 0.50, worst: 0.33}
Pair #8
Original choice: Option 2
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [30, 50, 10, 10] l1: {best: -40.00, worst: -70.00}
[45, 20, 15, 20] leontief: {best: 0.50, worst: 0.33}
Pair #9
Original choice: Option 2
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [25, 40, 10, 25] l1: {best: -40.00, worst: -70.00}
[45, 20, 15, 20] leontief: {best: 0.50, worst: 0.33}
Pair #10
Original choice: Option 1
Pair Score: 0.38
Score = min(L1 advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [25, 40, 10, 25] l1: {best: -40.00, worst: -70.00}
[40, 20, 15, 25] leontief: {best: 0.50, worst: 0.33}

Survey ID: 181

Ideal budget: [10, 40, 30, 20]
⏱️ Response Time: 167s
Survey Summary
Choice Percentage
cosine_similarity (Rank) 80%
leontief (Rank) 20%
Pairs List
Pair #1
Original choice: Option 1
Pair Score: 0.39
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [15, 50, 10, 25] cosine_similarity: {best: 0.92, worst: 0.79}
[40, 25, 20, 15] leontief: {best: 0.62, worst: 0.33}
Pair #2
Original choice: Option 2
Pair Score: 0.38
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [15, 50, 10, 25] cosine_similarity: {best: 0.92, worst: 0.60}
[55, 20, 15, 10] leontief: {best: 0.50, worst: 0.33}
Pair #3
Original choice: Option 2
Pair Score: 0.38
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [20, 35, 10, 35] cosine_similarity: {best: 0.87, worst: 0.69}
[45, 20, 15, 20] leontief: {best: 0.50, worst: 0.33}
Pair #4
Original choice: Option 2
Pair Score: 0.38
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [20, 35, 10, 35] cosine_similarity: {best: 0.87, worst: 0.71}
[45, 20, 20, 15] leontief: {best: 0.50, worst: 0.33}
Pair #5
Original choice: Option 1
Pair Score: 0.38
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [20, 35, 10, 35] cosine_similarity: {best: 0.87, worst: 0.72}
[45, 20, 25, 10] leontief: {best: 0.50, worst: 0.33}
Pair #6
Original choice: Option 1
Pair Score: 0.38
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [20, 35, 10, 35] cosine_similarity: {best: 0.87, worst: 0.72}
[45, 25, 15, 15] leontief: {best: 0.50, worst: 0.33}
Pair #7
Original choice: Option 2
Pair Score: 0.38
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[20, 35, 10, 35] cosine_similarity: {best: 0.87, worst: 0.73}
✓ [45, 25, 20, 10] leontief: {best: 0.50, worst: 0.33}
Pair #8
Original choice: Option 2
Pair Score: 0.38
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[25, 35, 10, 30] cosine_similarity: {best: 0.87, worst: 0.65}
✓ [50, 20, 15, 15] leontief: {best: 0.50, worst: 0.33}
Pair #9
Original choice: Option 1
Pair Score: 0.38
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [10, 50, 10, 30] cosine_similarity: {best: 0.91, worst: 0.78}
[30, 20, 15, 35] leontief: {best: 0.50, worst: 0.33}
Pair #10
Original choice: Option 2
Pair Score: 0.38
Score = min(Cosine Similarity advantage, Leontief advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [10, 50, 10, 30] cosine_similarity: {best: 0.91, worst: 0.77}
[35, 20, 15, 30] leontief: {best: 0.50, worst: 0.33}