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Table 2 Exact figures from Microsoft Excel Worksheet used to calculate the sample size before (Student’s t = 2) and after iteration for heterorhabditid nematode-infected Galleria mellonella larvae

From: Towards optimization of entomopathogenic nematodes for more service in the biological control of insect pests

Case E a B n T t2 n+
1 0.2 1.2 4 0.9044 6.569076632 2 4 26.27630653
0.2 1.2 4 0.9044 6.569076632 2.06 4.2436 27.8765336
0.2 1.2 4 0.9044 6.569076632 2.052 4.210704 27.66043725
2 0.1 1.2 4 0.9044 26.27631 2 4 105.1052
0.1 1.2 4 0.9044 26.27631 1.983 3.932289 103.3260311
0.1 1.2 4 0.9044 26.27631 1.984 3.936256 103.4302692
3 0.1 1.2 1 0.9044 120 2 4 480
0.1 1.2 1 0.9044 120 1.965 3.861225 463.347
0.1 1.2 1 0.9044 120 1.965 3.861225 463.347
4 0.1 1.2 2 0.9044 56.15297662 2 4 224.6119065
0.1 1.2 2 0.9044 56.15297662 1.971 3.884841 218.1453859
0.1 1.2 2 0.9044 56.15297662 1.97095632 3.884668815 218.1357172
5 0.1 1.2 3 0.9044 36.01199651 2 4 144.047986
0.1 1.2 3 0.9044 36.01199651 1.97669220 3.907312 140.7101
0.1 1.2 3 0.9044 36.01199651 1.97705370 3.908741 140.7616
6 0.05 1.2 13 0.9044 28.89382 2 4 115.5753
0.05 1.2 13 0.9044 28.89382 1.9808 3.92356864 113.3669
0.05 1.2 13 0.9044 28.89382 1.9814 3.92594596 113.4356
  1. Estimates are calculated using the equations: n=(1/E)2 a x̄b − 2 or n+= (tα[n−1]/D)2 a x̄b − 2 where n or n+ is the sample size, E the standard error to mean ratio, D the ratio of the half-width of the confidence interval to the mean of the samples, a and b are the parameters of Taylor’s Power Law, the arithmetic mean of the heterorhabditid nematode-infected G. mellonella larval population in a soil sample, tα[n−1] is the appropriate Student’s t value for confidence limits of 1 − α and n − 1 degrees of freedom (http://www.danielsoper.com/statcalc3/calc.aspx?id = 10) for the insect population (Abd-Elgawad 2014)