The phrase "a given difficulty" is correct and usable in written English.
It can be used when referring to a specific difficulty that has been previously mentioned or is understood in the context.
Example: "In solving this equation, we must consider a given difficulty that many students face."
Alternatives: "a specific challenge" or "a particular obstacle".
The results are also relevant to research on machine learning of Bayesian networks, since they support controlled generation of a large number of data sets at a given difficulty level.
Since objective performance may vary even within a given difficulty level, we performed a linear regression to further quantify the influence of fluctuations in objective performance on task ratings, entering objective performance and feedback presence as taskwise regressors (two per block).
Last, for a given difficulty level, when the difference in performance was smaller, subjects' choices favored tasks which provided external feedback (Fig. 4b, second and fifth panels): i.e., when task performance levels are similar, external feedback is the dominant influence on SPEs.
In order to more clearly observe the relationship between a given difficulty metric and detection, we performed a follow-up MDR analysis using EDM and datasets with sample size held constant.
A minority of perplexing specimens still give difficulty in deciding their identity.
There are cases in which "it is more meritorious to realize a lower value at a given level of difficulty … than to realize a higher one" (Findlay, 1961, p. 381).
Generally speaking, the throughput under a given index of difficulty has a tendency contrary to movement time, meaning that higher movement time results in lower throughput, and vice versa.
Clearly, for a given graph (G), the difficulty of determining whether (chi (G ge k) is equivalent to the difficulty of determining if (G) contains a (k -critical subgraph (H).
This model supposes a straightforward algebraic relation known as the "log of the odds"—between the probability that a subject will answer a given item correctly, the difficulty of that particular item, and the subject's ability.
Students can also be alerted to graphically make attempts to represent the variation (area of difficulty 4), say in the form of error bars, and to the need, when interpreting a graph, to consider the sample, the controls, treatment and outcome variables, and to explain the extent to which claims can be inferred for a given experiment (area of difficulty 5).
If a user indicated that a given item had a difficulty-value D and a resolution-time T, then we labeled the SAD documents associated to that item with a difficulty D and a time T only when: i) the documents had not been labeled before, or ii) the documents had been labeled before with lower values.
