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Within each run we performed 5 replicates per group size, i.e. one for each density treatment per group size, resulting in a total of 25 replicates for each group size and 15 replicates for each density.
Figure 1 shows the observed frequency and count of lethal interactions per group size (essential genes, synthetic lethal pairs etc).
For IL-18 levels, 3 tumors per group (size matched) were homogenized and pooled in an equal volume and sent to Rules Based Medicine (RBM, Austin, TX) for multi-analyte protein analysis (RodentMAP® version 2.0).
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For a within-subjects two-group comparison where the difference is expected to be one SD, and where α is 0.05 and power is 0.8, the total sample size (per group) is expected to be 35.
This indicated a refusal rate of 40.15 %, and a sufficient sample size (>210 per group) was met.
Compared to a fixed sample size test with Dunnett adjusted critical boundaries, this would be a 20.4% increase of the per-group sample size.
For increasing k, this is only slightly decreasing: for an increase of 18.8% and for an increase of 17.0% of the per-group sample size is needed to control the maximum type 1 error rate when additionally allowing for the given sample size reassessment.
If you have a car, you can hire a guide ($10 to $30 per person depending on group size) from lowernine.org, a nonprofit rebuilding group (504-344-4884); all the proceeds go to their work in the neighborhood.
This give a serious baseline for the further experiments, the detection of the group size per concentration, and the allocation of concentrations for the main experiment.
If the baseline exacerbation rate was 1.0 rather than 1.13 then the required group size per arm would be 260.
The existence of such a preference is supported by our observation that the number of inseminations per individual increases with group size.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com