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User fdee223a685ac3232d23ab3f6e20fd12 Responses

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Survey Response Breakdown - Survey 116

User ID Submitted At Duration Ideal budget Concentrated ChangeDistributed ChangeTriangle Inequality Consistency View Response
fdee223a6... fdee223a685ac3232d23ab3f6e20fd12 15-07-2026 17:40 62s [50, 25, 25] 58.3%41.7%58.3% View Response

Survey Response Breakdown - Survey 158

User ID Submitted At Duration Ideal budget kll2 View Response
fdee223a6... fdee223a685ac3232d23ab3f6e20fd12 03-02-2026 18:24 N/A [45, 25, 20, 5, 5] 0%0% View Response

Survey Response Breakdown - Survey 179

User ID Submitted At Duration Ideal budget Concentrated ChangeDistributed ChangeTriangle Inequality Consistency View Response
fdee223a6... fdee223a685ac3232d23ab3f6e20fd12 20-07-2026 19:07 22s [20, 25, 25, 30] 0%0%0% View Response

User ID: fdee223a685ac3232d23ab3f6e20fd12

Survey ID: 116

Ideal budget: [50, 25, 25]
⏱️ Response Time: 62s

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: [50, 25, 25]
Year 2: [60, 30, 10]
 Triangle Concentrated (+) - G1 R0
Year 1: [60, 25, 15]
Year 2: [50, 30, 20]
 Triangle Distributed (+) - G1 R0
Pair #2
Original choice: Option 2
Choice Option Type
✓
Year 1: [50, 25, 25]
Year 2: [40, 20, 40]
 Triangle Concentrated (-) - G1 R0
Year 1: [40, 25, 35]
Year 2: [50, 20, 30]
 Triangle Distributed (-) - G1 R0
Pair #3
Original choice: Option 2
Choice Option Type
✓
Year 1: [50, 25, 25]
Year 2: [35, 35, 30]
 Triangle Concentrated (+) - G1 R1
Year 1: [40, 35, 25]
Year 2: [45, 25, 30]
 Triangle Distributed (+) - G1 R1
Pair #4
Original choice: Option 1
Choice Option Type
Year 1: [50, 25, 25]
Year 2: [65, 15, 20]
 Triangle Concentrated (-) - G1 R1
✓
Year 1: [60, 15, 25]
Year 2: [55, 25, 20]
 Triangle Distributed (-) - G1 R1
Pair #5
Original choice: Option 2
Choice Option Type
Year 1: [50, 25, 25]
Year 2: [55, 10, 35]
 Triangle Concentrated (+) - G1 R2
✓
Year 1: [50, 15, 35]
Year 2: [55, 20, 25]
 Triangle Distributed (+) - G1 R2
Pair #6
Original choice: Option 1
Choice Option Type
Year 1: [50, 25, 25]
Year 2: [45, 40, 15]
 Triangle Concentrated (-) - G1 R2
✓
Year 1: [50, 35, 15]
Year 2: [45, 30, 25]
 Triangle Distributed (-) - G1 R2
Pair #7
Original choice: Option 1
Choice Option Type
Year 1: [50, 25, 25]
Year 2: [55, 30, 15]
 Triangle Concentrated (+) - G2 R0
✓
Year 1: [55, 25, 20]
Year 2: [50, 30, 20]
 Triangle Distributed (+) - G2 R0
Pair #8
Original choice: Option 1
Choice Option Type
✓
Year 1: [50, 25, 25]
Year 2: [45, 20, 35]
 Triangle Concentrated (-) - G2 R0
Year 1: [45, 25, 30]
Year 2: [50, 20, 30]
 Triangle Distributed (-) - G2 R0
Pair #9
Original choice: Option 1
Choice Option Type
✓
Year 1: [50, 25, 25]
Year 2: [40, 30, 30]
 Triangle Concentrated (+) - G2 R1
Year 1: [45, 30, 25]
Year 2: [45, 25, 30]
 Triangle Distributed (+) - G2 R1
Pair #10
Original choice: Option 1
Choice Option Type
✓
Year 1: [50, 25, 25]
Year 2: [60, 20, 20]
 Triangle Concentrated (-) - G2 R1
Year 1: [55, 20, 25]
Year 2: [55, 25, 20]
 Triangle Distributed (-) - G2 R1
Pair #11
Original choice: Option 1
Choice Option Type
Year 1: [50, 25, 25]
Year 2: [55, 15, 30]
 Triangle Concentrated (+) - G2 R2
✓
Year 1: [50, 20, 30]
Year 2: [55, 20, 25]
 Triangle Distributed (+) - G2 R2
Pair #12
Original choice: Option 1
Choice Option Type
✓
Year 1: [50, 25, 25]
Year 2: [45, 35, 20]
 Triangle Concentrated (-) - G2 R2
Year 1: [50, 30, 20]
Year 2: [45, 30, 25]
 Triangle Distributed (-) - G2 R2

Survey ID: 158

Ideal budget: [45, 25, 20, 5, 5]
⏱️ Response Time: N/A
Survey Summary
Choice Percentage
kl (Rank) 60%
l2 (Rank) 40%
Pairs List
Pair #1
Original choice: Option 2
Pair Score: 0.26
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [15, 10, 65, 5, 5] kl: {best: -0.49, worst: -0.77}
[5, 25, 30, 20, 20] l2: {best: -46.37, worst: -56.12}
Pair #2
Original choice: Option 2
Pair Score: 0.25
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[15, 65, 10, 5, 5] kl: {best: -0.39, worst: -0.62}
✓ [35, 5, 5, 30, 25] l2: {best: -41.83, worst: -50.99}
Pair #3
Original choice: Option 1
Pair Score: 0.25
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[20, 60, 10, 5, 5] kl: {best: -0.28, worst: -0.49}
✓ [50, 5, 5, 20, 20] l2: {best: -33.17, worst: -44.16}
Pair #4
Original choice: Option 2
Pair Score: 0.25
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[15, 15, 60, 5, 5] kl: {best: -0.40, worst: -0.62}
✓ [35, 5, 5, 25, 30] l2: {best: -41.83, worst: -50.99}
Pair #5
Original choice: Option 1
Pair Score: 0.24
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
[15, 60, 15, 5, 5] kl: {best: -0.33, worst: -0.53}
✓ [45, 5, 5, 25, 20] l2: {best: -35.36, worst: -46.37}
Pair #6
Original choice: Option 2
Pair Score: 0.24
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [20, 10, 60, 5, 5] kl: {best: -0.37, worst: -0.58}
[40, 5, 5, 15, 35] l2: {best: -40.62, worst: -49.50}
Pair #7
Original choice: Option 1
Pair Score: 0.23
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [20, 15, 55, 5, 5] kl: {best: -0.29, worst: -0.50}
[50, 5, 5, 15, 25] l2: {best: -33.91, worst: -44.16}
Pair #8
Original choice: Option 1
Pair Score: 0.23
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [15, 20, 55, 5, 5] kl: {best: -0.35, worst: -0.54}
[45, 5, 5, 15, 30] l2: {best: -36.74, worst: -46.37}
Pair #9
Original choice: Option 1
Pair Score: 0.23
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [15, 60, 10, 5, 10] kl: {best: -0.38, worst: -0.57}
[40, 5, 5, 25, 25] l2: {best: -38.08, worst: -47.43}
Pair #10
Original choice: Option 1
Pair Score: 0.23
Score = min(KL advantage, L2 advantage). Advantage = how much better one vector is than the other in each metric. Higher score = clearer choice.
Choice Option Type
✓ [15, 70, 5, 5, 5] kl: {best: -0.51, worst: -0.77}
[5, 25, 30, 15, 25] l2: {best: -46.90, worst: -56.12}

Survey ID: 179

Ideal budget: [20, 25, 25, 30]
⏱️ Response Time: 22s

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 Distributed
Concentrated Change Distributed Change User Consistency
0.0% 0.0% 0.0%
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 2
Choice Option Type
[10, 35, 10, 45] cosine_similarity: {best: 0.90, worst: 0.86}
✓ [40, 25, 25, 10] l1: {best: -40.00, worst: -50.00}
Pair #2
Original choice: Option 1
Choice Option Type
✓ [10, 10, 40, 40] cosine_similarity: {best: 0.90, worst: 0.86}
[40, 25, 25, 10] l1: {best: -40.00, worst: -50.00}
Pair #3
Original choice: Option 1
Choice Option Type
✓ [10, 40, 10, 40] cosine_similarity: {best: 0.90, worst: 0.86}
[40, 25, 25, 10] l1: {best: -40.00, worst: -50.00}
Pair #4
Original choice: Option 1
Choice Option Type
[10, 10, 35, 45] cosine_similarity: {best: 0.90, worst: 0.86}
✓ [40, 25, 25, 10] l1: {best: -40.00, worst: -50.00}
Pair #5
Original choice: Option 2
Choice Option Type
[10, 10, 35, 45] cosine_similarity: {best: 0.90, worst: 0.86}
✓ [20, 45, 25, 10] l1: {best: -40.00, worst: -50.00}
Pair #6
Original choice: Option 1
Choice Option Type
[10, 35, 10, 45] cosine_similarity: {best: 0.90, worst: 0.86}
✓ [20, 25, 45, 10] l1: {best: -40.00, worst: -50.00}
Pair #7
Original choice: Option 1
Choice Option Type
✓ [10, 10, 35, 45] cosine_similarity: {best: 0.90, worst: 0.86}
[20, 25, 45, 10] l1: {best: -40.00, worst: -50.00}
Pair #8
Original choice: Option 1
Choice Option Type
[10, 35, 10, 45] cosine_similarity: {best: 0.90, worst: 0.86}
✓ [20, 45, 25, 10] l1: {best: -40.00, worst: -50.00}
Pair #9
Original choice: Option 1
Choice Option Type
✓ [10, 40, 10, 40] cosine_similarity: {best: 0.90, worst: 0.86}
[20, 45, 25, 10] l1: {best: -40.00, worst: -50.00}
Pair #10
Original choice: Option 1
Choice Option Type
[10, 10, 40, 40] cosine_similarity: {best: 0.90, worst: 0.86}
✓ [20, 45, 25, 10] l1: {best: -40.00, worst: -50.00}