Table 4. Mean Absolute Error by Treatment and Task Parameters.

The * indicates a significant difference between the starred treatment and at least one other (p _adj < 0.001). Fig 3 illustrates the violin plot for each Type.

	1-var					Mean Absolute Error
Row	Type	σ	|μ − k 1|	Question	Correct Answer	HOPs	Violin	Err. Bar
1	1,2	low	N/A	μ A		3.7	3.8	7.8
2	3,4	high				9.6*	4.2	2.1
3	1	low	low	Pr(A > k 1)	.05	0.14	0.35*	0.21
4	2	low	high		0	0.06	0.06	0.09
5	3	high	low		.39	0.13	0.10	0.11
6	4	high	high		.12	0.14	0.11	0.14
7	1,2	low	N/A	Pr(k 2 ≤ A ≤ k 3)		0.20	0.19	0.29*
8	3,4	high				0.17*	0.14	0.13
	2-var	μ a − μ b	σ a = σ b
9	5	5	15	Pr(B > A)	.59	0.11*	0.37	0.38
10	6	10	10		.76	0.13*	0.35	0.42
11	7	5	2		.96	0.09*	0.45	0.54
12	8	5	15		.85	0.10*	0.63	0.60
	3-var
13	9			Pr(B > A and B > C)	.66	0.14*	0.37	0.36