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The approach followed involves deriving analytical expressions to track how errors, due to random deviations between identified and "true" mode shapes, propagate to the Modal Assurance Criterion (MAC) and the Coordinate Modal Assurance Criterion COMACC) values as well as the estimated flexibility matrix.
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Due to the replicated experimental design, it was possible to confirm that the differences between the experimental treatments were significant and not due to random deviation.
The threshold must be high enough to avoid correcting deviations due to random measurement noise while remaining sensitive to systematic sources of error.
The small error on the measured fluence (random error of about 0.1%) enabled us to obtain the effective attenuation coefficient with high accuracy (the standard deviation due to random errors was of less than 0.05%).
The standard deviations shown in Figure 6 obtained from the 6 repetitions show that these deviations are due to random fluctuations.
In both cases, we plan to estimate the deviation between the two arms and assess statistical significance, i.e. the probability that the deviation is due to random variation.
If deviations of SNP frequencies are due to random sampling from the pool of RNA molecules and stochastic PCR efficiency, the variance between the frequencies observed on two neighboring fragments should be x (1 - x ) (n L - 1 + n T - 1 ), where x is the true frequency of the SNP.
This pattern suggests that most of the parental deviations from the index measurements were probably due to random errors of measurement.
Small deviations from this value are most likely due to random variations as there were no convincing estimates when corresponding CIs are taken into account.
This pattern suggests that most of the parental deviations from the index measurements were probably due to random errors of measurement and that diagnostic measures could improve by encouraging parents to measure their children's weight and height at home by means of instruction leaflets.
And the specific deviation in 1991 could as well just have occurred due to random variation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com