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Table 4 Percentage error and mean sample size for the equal variances t-test \(\left( {N_{{min}} = 20,N_{{max}} = 50000} \right)\)

From: Bayesian updating: increasing sample size during the course of a study

    BFtarget = 3 BFtarget = 5 BFtarget = 10 BFtarget = 20
HypSet ES Fraction % error Mean N % error Mean N % error Mean N % error Mean N
1 0 1b 5.1 22 4.1 29 2.5 70 1.5 296
1 0 2b 7.2 24 5.7 36 3.7 123 2.3 523
1 0 3b 9.1 26 7.1 47 4.4 179 3.1 799
1 0.2 1b 78.9 25 72.1 49 47.0 171 13.6 406
1 0.2 2b 70.8 29 61.3 69 27.3 238 3.6 451
1 0.2 3b 65.2 32 51.3 79 19.0 268 1.5 435
1 0.5 1b 35.0 26 19.9 37 4.3 58 0.2 74
1 0.5 2b 24.7 27 10.7 39 0.8 56 0.0 68
1 0.5 3b 17.9 28 6.5 40 0.2 54 0.0 63
1 0.8 1b 6.1 22 1.9 25 0.1 28 0.0 31
1 0.8 2b 3.2 22 1.0 24 0.0 27 0.0 30
1 0.8 3b 1.8 22 0.5 24 0.0 26 0.0 29
2 0 1b 5.0 22 3.9 27 3.8 92 2.1 380
2 0 2b 7.4 23 6.3 42 4.2 180 2.8 758
2 0 3b 9.8 26 7.7 62 5.3 265 3.5 1114
2 0.2 1b 88.3 23 84.7 34 56.6 170 10.1 512
2 0.2 2b 82.4 25 73.3 56 30.0 282 1.1 543
2 0.2 3b 78.9 28 62.2 83 17.2 342 0.0 531
2 0.5 1b 50.5 24 34.7 35 2.5 70 0.0 85
2 0.5 2b 39.8 26 15.4 44 0.1 67 0.0 78
2 0.5 3b 31.9 28 6.3 48 0.0 64 0.0 75
2 0.8 1b 13.9 23 4.7 26 0.0 31 0.0 34
2 0.8 2b 7.7 23 1.1 26 0.0 29 0.0 33
2 0.8 3b 5.6 23 0.1 26 0.0 29 0.0 32
3 0.2 1b 19.2 26 12.8 41 7.0 71 3.8 114
3 0.2 2b 18.5 26 13.1 40 7.3 71 3.3 114
3 0.2 3b 19.8 26 13.3 39 7.4 70 3.4 113
3 0.5 1b 2.1 21 0.8 23 0.3 26 0.2 31
3 0.5 2b 2.0 21 1.1 23 0.3 26 0.1 31
3 0.5 3b 2.4 21 0.7 23 0.4 26 0.3 31
3 0.8 1b 0.1 20 0.0 20 0.0 21 0.0 21
3 0.8 2b 0.2 20 0.0 20 0.0 21 0.0 21
3 0.8 3b 0.1 20 0.1 20 0.0 21 0.0 21
  1. Hyp Set 1: \({H}_{0}:{\mu }_{1}={\mu }_{2}\) and \({H}_{1}:{\mu }_{1}<{\mu }_{2}\); Hyp Set 2: \({H}_{0}:{\mu }_{1}={\mu }_{2}\) and \({H}_{1}:{\mu }_{1}\ne {\mu }_{2}\)
  2. Hyp Set 3: \({H}_{1}:{\mu }_{1}>{\mu }_{2}\) and \({H}_{2}:{\mu }_{1}<{\mu }_{2}\). Underline: scenarios with one replication inconclusive