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Our finding that DM copy-numbers can be described by a simple binomial distribution has at least three implications for the evolution of MYCN amplicons in NB cells: (1) MYCN-copies in DMs segregate independently of each other in a random fashion up to a certain copy-number level.
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The appropriate test to use is a simple binomial test, which can be approximated by a Chi-squared test with one degree of freedom if expected counts are not too small.
For significance testing, Nejentsev et al. (2009) assumed a simple binomial model within pools, estimated overall allele frequencies by treating each pool equally and used these estimated allele frequencies to estimate chromosome counts of each allele.
Section 4 shows how a simple binomial pricing model can be used both to compute the required Arrow-Debreu prices and to determine a specific dynamic strategy that will provide a chosen distribution.
If X ∼ B (n,p) and conditioning on X, Y ∼ B (X,q), then Y is a simple binomial variable with distribution Y ∼ B (n,pq).
Assigning a simple binomial test 50% probability of up or downregulation (that is- by chance assuming that any gene selected by behavioral correlation has a 50% chance of being up- or downregulated by age) yields p<1−12 likelihood such directional agreement could have occurred by chance.
We use a simple binomial test to evaluate the significance of the activity score defined here.
Significance of differential expression was quantified by Wilcoxon rank sum test; see Figure 2, Table 4. "Overall significance" results reported in the last line of Table 4 follow from a simple binomial model.
A simple binomial calculation can then evaluate the null hypothesis that QTL and divergent windows are uncorrelated.
The second feature of the histograms is that they are modestly more dispersed than expected from a simple binomial distribution.
Sequence based genotypes were declared based on a simple binomial test where a null hypothesis of an expected 1 1 ratio of the read counts was set.
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