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. 2021 Feb 3;7:40. doi: 10.1186/s40814-021-00770-x

Table 2.

Sample size and significance cut-points for (GLL-RUL) differences for a one-sample test, power (80%, 90%, 95%) and 1-tailed 5% significance level based on the binomial exact test

RUL GLL α (0.05), β (0.2) α (0.05), β (0.1) α (0.05), β (0.05)
% % n Ac (%) n Ac (%) n Ac (%)
10 20 78 13 (16.7) 109 17 (15.6) 135 20 (14.8)
15 25 101 22 (21.8) 136 28 (20.6) 176 35 (19.9)
15 30 48 12 (25.0) 64 15 (23.4) 85 19 (22.4)
20 30 116 31 (26.7) 160 41 (25.6) 204 51 (25.0)
20 35 56 17 (30.4) 77 22 (28.6) 98 27 (27.6)
20 40 35 12 (34.3) 47 15 (31.9) 60 18 (30.0)
25 35 129 41 (31.8) 179 55 (30.7) 230 69 (30.0)
25 40 62 22 (35.5) 83 28 (33.7) 107 35 (32.7)
25 45 36 14 (38.9) 49 18 (36.7) 62 22 (35.5)
25 50 26 11 (42.3) 33 13 (39.4) 42 16 (38.1)
30 40 144 53 (36.8) 193 69 (35.8) 248 87 (35.1)
30 45 67 27 (40.3) 93 36 (38.7) 114 43 (37.7)
30 50 39 17 (43.6) 53 22 (41.5) 67 27 (40.3)
30 55 25 12 (48.0) 36 16 (44.4) 44 19 (43.2)
30 60 17 9 (52.9) 25 12 (48.0) 28 13 (46.4)
35 45 148 62 (41.9) 206 84 (40.8) 262 105 (40.1)
35 50 68 31 (45.6) 96 42 (43.8) 119 51 (42.9)
35 55 41 20 (48.8) 53 25 (47.2) 68 31 (45.6)
35 60 26 14 (53.8) 36 18 (50.0) 45 22 (48.9)
35 65 19 11 (57.9) 24 13 (54.2) 29 15 (51.7)
40 50 158 74 (46.8) 214 98 (45.8) 268 121 (45.1)
40 55 71 36 (50.7) 94 46 (48.9) 119 57 (47.9)
40 60 42 23 (54.8) 56 29 (51.8) 67 34 (50.7)
40 65 28 16 (57.1) 34 19 (55.9) 45 24 (53.3)
40 70 19 12 (63.2) 25 15 (60.0) 28 16 (57.1)
45 55 154 80 (51.9) 220 112 (50.9) 269 135 (50.2)
45 60 70 39 (55.7) 98 53 (54.1) 119 63 (52.9)
45 65 42 25 (59.5) 54 31 (57.4) 68 38 (55.9)
45 70 25 16 (64.0) 36 22 (61.1) 44 26 (59.1)
45 75 16 11 (68.8) 23 15 (65.2) 29 18 (62.1)
50 60 158 90 (57.0) 213 119 (55.9) 268 148 (55.2)
50 65 69 42 (60.9) 93 55 (59.1) 119 69 (58.0)
50 70 37 24 (64.9) 53 33 (62.3) 67 41 (61.2)
50 75 23 16 (69.6) 33 22 (66.7) 42 27 (64.3)
55 65 150 93 (62.0) 210 128 (61.0) 262 158 (60.3)
55 70 70 46 (65.7) 92 59 (64.1) 114 72 (63.2)
55 75 37 26 (70.3) 50 34 (68.0) 62 41 (66.1)
60 70 143 96 (67.1) 197 130 (66.0) 248 162 (65.3)
60 75 62 44 (71.0) 85 59 (69.4) 107 73 (68.2)
60 80 36 27 (75.0) 45 33 (73.3) 60 43 (71.7)
65 75 133 96 (72.2) 180 128 (71.1) 230 162 (70.4)
65 80 55 42 (76.4) 75 56 (74.7) 98 72 (73.5)
65 85 31 25 (80.6) 42 33 (78.6) 52 40 (76.9)
70 80 119 92 (77.3) 164 125 (76.2) 204 154 (75.5)
70 85 49 40 (81.6) 69 55 (79.7) 85 67 (78.8)
75 85 103 85 (82.5) 139 113 (81.3) 176 142 (80.7)
75 90 45 39 (86.7) 55 47 (85.5) 70 59 (84.3)
80 90 82 72 (87.8) 112 97 (86.6) 135 116 (85.9)

RUL upper limit of RED zone (expressed as percentage of total sample), GLL lower limit of GREEN zone (expressed as percentage of total sample), AC AMBER-statistical significance threshold (within the AMBER zone) where an observed estimate below the cut-point will result in a non-significant result (p ≥ 0.05) and figures at or above the cut-point will be significant (p < 0.05) (%, expressed as a percentage of sample size (n))