User 9b7f739f9ba1a3678e8e90bb8aa26b9d Responses

Survey Response Breakdown - Survey 112

User ID	Response Time	Ideal budget	Consistency	View Response
9b7f739f9... 9b7f739f9ba1a3678e8e90bb8aa26b9d	25-09-2025 12:54	[40, 30, 30]	100%	View Response

Survey Response Breakdown - Survey 117

User ID	Response Time	Ideal budget	Concentrated Change	Distributed Change	Triangle Inequality Consistency	View Response
9b7f739f9... 9b7f739f9ba1a3678e8e90bb8aa26b9d	21-12-2025 11:49	[40, 40, 20]	16.7%	83.3%	83.3%	View Response

User ID: 9b7f739f9ba1a3678e8e90bb8aa26b9d

User Preference Consistency Analysis

Table: Preference A vs B

	Question +	Question –	Row Consistency
Magnitude 0.2	A > B	A > B	✓
Magnitude 0.4	A > B	A > B	✓
Col. Cons.	✓	✓	Final Score: 1 ✓

Table: Preference A vs C

	Question +	Question –	Row Consistency
Magnitude 0.2	A > C	A > C	✓
Magnitude 0.4	A > C	A > C	✓
Col. Cons.	✓	✓	Final Score: 1 ✓

Table: Preference B vs C

	Question +	Question –	Row Consistency
Magnitude 0.2	C > B	C > B	✓
Magnitude 0.4	C > B	C > B	✓
Col. Cons.	✓	✓	Final Score: 1 ✓

Final Ranking Summary Table

	Question +	Question –	Row Consistency
Magnitude X₁=6	A > C > B	A > C > B	✓ 3/3
Magnitude X₂=12	A > C > B	A > C > B	✓ 3/3
Col. Cons.	✓ 3/3	✓ 3/3	✓ 3/3

Understanding Consistency Scores

This analysis measures how consistently the user ranks the same budget subjects across different scenarios. Perfect consistency (✓) means the user always ranks subjects the same way (3/3). Partial consistency (◐) means the user shows consistency in some scenarios but varies in others (1/3 or 2/3). Failed consistency (✗) means the user's rankings vary significantly (0/3). Note: In questions with negative magnitude (Question –), user preferences are swapped to reflect the true meaning of their choices.

✓ Perfect Consistency

◐ Partial Consistency

✗ Inconsistent

Survey ID: 112

Ideal budget: [40, 30, 30]

Survey Summary

Choice	Percentage
Option A	50%
Option B	50%

Pairs List

Pair #1

Original choice: Option 1

Choice	Option	Type
✓	[52, 24, 24]	Preference Ranking Q1 (mag=6, positive) - Option A
	[34, 42, 24]	Preference Ranking Q1 (mag=6, positive) - Option B

Pair #2

Original choice: Option 1

Choice	Option	Type
✓	[52, 24, 24]	Preference Ranking Q1 (mag=6, positive) - Option A
	[34, 24, 42]	Preference Ranking Q1 (mag=6, positive) - Option C

Pair #3

Original choice: Option 2

Choice	Option	Type
	[34, 42, 24]	Preference Ranking Q1 (mag=6, positive) - Option B
✓	[34, 24, 42]	Preference Ranking Q1 (mag=6, positive) - Option C

Pair #4

Original choice: Option 2

Choice	Option	Type
	[28, 36, 36]	Preference Ranking Q2 (mag=6, negative) - Option A
✓	[46, 18, 36]	Preference Ranking Q2 (mag=6, negative) - Option B

Pair #5

Original choice: Option 2

Choice	Option	Type
	[28, 36, 36]	Preference Ranking Q2 (mag=6, negative) - Option A
✓	[46, 36, 18]	Preference Ranking Q2 (mag=6, negative) - Option C

Pair #6

Original choice: Option 1

Choice	Option	Type
✓	[46, 18, 36]	Preference Ranking Q2 (mag=6, negative) - Option B
	[46, 36, 18]	Preference Ranking Q2 (mag=6, negative) - Option C

Pair #7

Original choice: Option 1

Choice	Option	Type
✓	[64, 18, 18]	Preference Ranking Q4 (mag=12, positive) - Option A
	[28, 54, 18]	Preference Ranking Q4 (mag=12, positive) - Option B

Pair #8

Original choice: Option 1

Choice	Option	Type
✓	[64, 18, 18]	Preference Ranking Q4 (mag=12, positive) - Option A
	[28, 18, 54]	Preference Ranking Q4 (mag=12, positive) - Option C

Pair #9

Original choice: Option 2

Choice	Option	Type
	[28, 54, 18]	Preference Ranking Q4 (mag=12, positive) - Option B
✓	[28, 18, 54]	Preference Ranking Q4 (mag=12, positive) - Option C

Pair #10

Original choice: Option 2

Choice	Option	Type
	[16, 42, 42]	Preference Ranking Q5 (mag=12, negative) - Option A
✓	[52, 6, 42]	Preference Ranking Q5 (mag=12, negative) - Option B

Pair #11

Original choice: Option 2

Choice	Option	Type
	[16, 42, 42]	Preference Ranking Q5 (mag=12, negative) - Option A
✓	[52, 42, 6]	Preference Ranking Q5 (mag=12, negative) - Option C

Pair #12

Original choice: Option 1

Choice	Option	Type
✓	[52, 6, 42]	Preference Ranking Q5 (mag=12, negative) - Option B
	[52, 42, 6]	Preference Ranking Q5 (mag=12, negative) - Option C

Survey ID: 117

Ideal budget: [40, 40, 20]

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
16.7%	83.3%	83.3%

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: [40, 40, 20] Year 2: [45, 45, 10]	Triangle Concentrated (+) - G1 R0
✓	Year 1: [45, 40, 15] Year 2: [40, 45, 15]	Triangle Distributed (+) - G1 R0

Pair #2

Original choice: Option 1

Choice	Option	Type
	Year 1: [40, 40, 20] Year 2: [35, 35, 30]	Triangle Concentrated (-) - G1 R0
✓	Year 1: [35, 40, 25] Year 2: [40, 35, 25]	Triangle Distributed (-) - G1 R0

Pair #3

Original choice: Option 2

Choice	Option	Type
✓	Year 1: [40, 40, 20] Year 2: [30, 45, 25]	Triangle Concentrated (+) - G1 R1
	Year 1: [35, 45, 20] Year 2: [35, 40, 25]	Triangle Distributed (+) - G1 R1

Pair #4

Original choice: Option 2

Choice	Option	Type
	Year 1: [40, 40, 20] Year 2: [50, 35, 15]	Triangle Concentrated (-) - G1 R1
✓	Year 1: [45, 35, 20] Year 2: [45, 40, 15]	Triangle Distributed (-) - G1 R1

Pair #5

Original choice: Option 2

Choice	Option	Type
	Year 1: [40, 40, 20] Year 2: [45, 30, 25]	Triangle Concentrated (+) - G1 R2
✓	Year 1: [40, 35, 25] Year 2: [45, 35, 20]	Triangle Distributed (+) - G1 R2

Pair #6

Original choice: Option 1

Choice	Option	Type
	Year 1: [40, 40, 20] Year 2: [35, 50, 15]	Triangle Concentrated (-) - G1 R2
✓	Year 1: [40, 45, 15] Year 2: [35, 45, 20]	Triangle Distributed (-) - G1 R2

Pair #7

Original choice: Option 1

Choice	Option	Type
	Year 1: [40, 40, 20] Year 2: [50, 45, 5]	Triangle Concentrated (+) - G2 R0
✓	Year 1: [50, 40, 10] Year 2: [40, 45, 15]	Triangle Distributed (+) - G2 R0

Pair #8

Original choice: Option 1

Choice	Option	Type
	Year 1: [40, 40, 20] Year 2: [30, 35, 35]	Triangle Concentrated (-) - G2 R0
✓	Year 1: [30, 40, 30] Year 2: [40, 35, 25]	Triangle Distributed (-) - G2 R0

Pair #9

Original choice: Option 2

Choice	Option	Type
	Year 1: [40, 40, 20] Year 2: [25, 50, 25]	Triangle Concentrated (+) - G2 R1
✓	Year 1: [30, 50, 20] Year 2: [35, 40, 25]	Triangle Distributed (+) - G2 R1

Pair #10

Original choice: Option 1

Choice	Option	Type
	Year 1: [40, 40, 20] Year 2: [55, 30, 15]	Triangle Concentrated (-) - G2 R1
✓	Year 1: [50, 30, 20] Year 2: [45, 40, 15]	Triangle Distributed (-) - G2 R1

Pair #11

Original choice: Option 1

Choice	Option	Type
✓	Year 1: [40, 40, 20] Year 2: [45, 25, 30]	Triangle Concentrated (+) - G2 R2
	Year 1: [40, 30, 30] Year 2: [45, 35, 20]	Triangle Distributed (+) - G2 R2

Pair #12

Original choice: Option 2

Choice	Option	Type
	Year 1: [40, 40, 20] Year 2: [35, 55, 10]	Triangle Concentrated (-) - G2 R2
✓	Year 1: [40, 50, 10] Year 2: [35, 45, 20]	Triangle Distributed (-) - G2 R2