Pareto Experiment: lottery study

No of Participants	102
Pairs /participant	10
No of Pairs	1020

No of Participants	110
Pairs /participant	10
No of Pairs	1100

Analysis 1: contingency tables (descriptive statistics)

	Attraction Effect
	Repulsion Effect

	A	B	D
A	TARGET COMPETITOR 624 (61.176470588235 %)	COMPETITOR COMPETITOR 82 (8.0392156862745 %)	COMPETITOR DECOY 9 (0.88235294117647 %)
B	TARGET TARGET 197 (19.313725490196 %)	COMPETITOR TARGET 92 (9.0196078431373 %)	TARGET DECOY 4 (0.3921568627451 %)
D	DECOY TARGET 6 (0.58823529411765 %)	DECOY COMPETITOR 4 (0.3921568627451 %)	DECOY DECOY 2 (0.19607843137255 %)

	A	B	D
A	TARGET COMPETITOR 558 (50.727272727273 %)	COMPETITOR COMPETITOR 119 (10.818181818182 %)	COMPETITOR DECOY 31 (2.8181818181818 %)
B	TARGET TARGET 188 (17.090909090909 %)	COMPETITOR TARGET 176 (16 %)	TARGET DECOY 5 (0.45454545454545 %)
D	DECOY TARGET 10 (0.90909090909091 %)	DECOY COMPETITOR 9 (0.81818181818182 %)	DECOY DECOY 4 (0.36363636363636 %)

Analysis 2: inferential statistics (for R code)

ScoresA (10):

+1	chose Target
+0	chose Competitor
+0.5	chose Decoy

ScoresB (10):

+1	chose Competitor
+0	chose Target
+0.5	chose Decoy

Observation = ScoreA/10 - ScoreB/10

observation = 0	no bias (no attraction or repulsion effect)
observation > 0	attraction effect
observation < 0	repulsion Effect

observations <- c(0.3, 0.1, 0.1, 0, 0, 0.1, 0.1, 0.3, 0.15, 0.1, 0.2, 0.1, 0.1, -0.1, -0.3, 0.35, -0.4, -0.1, 0, -0.1, -0.25, 0.1, -0.1, 0.2, 0.35, 0.2, 0.3, 0.1, 0.15, 0.5, 0.3, 0.1, 0.3, -0.05, -0.15, -0.1, -0.1, -0.2, -0.3, -0.1, -0.1, 0.3, 0.1, -0.3, 0.75, 0.65, 0.2, 0.1, 0.2, 0, -0.1, 0.15, 0.2, -0.2, -0.2, -0.2, 0.4, -0.1, 0.3, 0.4, 0.2, 0, -0.2, 0, 0.2, -0.1, 0.6, 0.1, 0.1, -0.1, 0.1, 0, 0.1, 0.6, 0.3, 0.2, 0.4, 0.2, -0.2, -0.05, 0.4, 0.1, 0.2, 0.2, 0.1, 0.1, 0.2, 0.1, 1, 0.45, 0, -0.2, 0.7, 0.2, 0.5, 0.1, -0.2, -0.4, 0.3, -0.1, 0, 0.35) observations <- c(0, -0.1, 0, 0, 0.1, -0.25, -0.1, 0.2, -0.1, 0.2, -0.4, -0.2, 0.2, 0.1, -0.15, 0, 0, 0.1, 0.3, 0.4, 0.2, -0.1, -0.2, -0.2, -0.05, 0.4, 0, -0.25, 0.3, 0, 0.3, 0, 0.2, 0.4, 0.2, 0.75, 0.1, 0.1, -0.1, 0.1, 0.1, 0.2, -0.05, -0.2, -0.4, -0.2, 0.2, 0, 0.1, 0.8, -0.4, -0.05, 0.1, -0.2, 0, 0, 0.4, -0.15, 0.2, 0.05, 0.1, 0.1, 0, -0.4, 0.6, -0.3, 0.15, 0.3, 0.1, 0.1, -0.2, -0.05, -0.2, 0.2, -0.3, 0.8, 0, 0.15, 0.1, -0.1, -0.1, -0.1, 0.1, -0.5, 1, 0.1, -0.1, 0, 0.6, -0.1, 0.7, 0.1, -0.1, 0, -0.25, 0.2, -0.3, 0.3, 0.1, -0.05, 0.1, -0.05, 0.1, -0.2, 0, 0.1, -0.1, 0, 0, 0)