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The apparent reversal of direction was, we feel, a function of chance.
In a fixed effects model, the fundamental assumption is that a single true effect size underlies all study results and that observed estimates vary only as a function of chance.
We created a multivariable model with baseline scores included as a predictor variable to ensure that any observed difference in change in test score from before to after the rotation between residents in the no order set period and residents in the order set period was not a function of chance differences in baseline scores between these groups.
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But that interaction was illusory, a function of the chance juxtaposition of six independent works.
However, rather than merely calculate the percentage of cases on which they agree, the Kappa statistic corrects for "chance" agreement, where "chance" is a function of the prevalence of the condition being assessed.
Heads I win, tails it's chance: The illusion of control as a function of the sequence of outcomes in a purely chance task.
A fundamental step in such a trial is the randomisation; the distribution of the treatments in a way that is not a function of a clinical decision, but of pure chance.
Our subscale of "inappropriate thinking biases" did not show any change as a function of instruction, and scores were roughly at chance in both the pretest and the posttest.
Therefore, as more data is added to the analysis the number of differential probesets increases rather than decreases, further suggesting that this is a function of the array and not due to chance.
Consider the probability that a read maps at exactly one position in the genome by chance, that is a function of the number of mapping positions (approximately the length of the genome, L, multiplied by the number of colors) and the number of potential different sequences (4 l, where l is the read length).
Let s(d) denote the chance of survival as a function of the damage d.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com