Teaching Inference for Randomized Experiments

Figures & data

Table

Red	3.5	8.1	7.4	4.0	0.7	4.9	8.4	7.0	5.5
White	3.1	0.5	−3.8	4.1	−0.6	2.7	1.9	−5.9	0.1

Table

2 weeks	118	126	126	120	129
16 weeks	124	98	110	140	110

Figure1: Breaking strengths of 10 pieces of polyester buried for 2 weeks (red) and 16 weeks (white).

Figure 2: Three possible randomizations of the polyester data with t-statistics.

Figure 3: Randomization distribution of the t-statistic for the polyester data.

Figure 4: Randomization distribution of the t-statistic for the polyester data overlayed with the t distribution.

Figure 5: Randomization and t distributions for the polyester data when the smallest breaking strength is (a) 88, (b) 78, (c) 68, and (d) 58 pounds.

Figure 6: Randomization and t distributions for the red and white wine data.

Table

2 weeks	118	126	126	120	129
4 weeks	130	120	114	126	128
8 weeks	122	136	128	146	140
16 weeks	124	98	110	140	110

Figure 7: Randomization distribution of the F-statistic overlayed with the F distribution for the polyester data.