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The phrase "a complex hypothesis" is correct and usable in written English.
It can be used in scientific, academic, or analytical contexts when discussing a hypothesis that involves multiple variables or intricate relationships.
Example: "The researchers proposed a complex hypothesis that aimed to explain the interactions between various environmental factors and their impact on species diversity."
Alternatives: "a multifaceted hypothesis" or "a complicated hypothesis."
Exact(3)
This paper formulates a complex hypothesis concerning the corrosion mechanisms of A6092/SiC/17.5p metal matrix composite in chloride containing solution as a function of time.
For example: if you're trying to figure out why someone acted the way they did, people often come up with a complex hypothesis for the motive, whereas the actual reason is probably very simple.
A complex hypothesis with more free parameters can predict (or fit, explain) a greater variety of observed data than a simpler hypothesis.
Similar(57)
A more complex hypothesis fits the data better than a simpler model, in general.
With the advent of three dimensional methods for analyzing morphology and application of model selection methods, it is possible to compare the integration of static and kinetic features and determine if a more complex hypothesis is appropriate for understanding tooth row shape.
In this case, the problem may be formulated as that of testing a complex null hypothesis.
A poor choice of values for a hyper-parameter can lead to poor performance in terms of overly complex hypothesis that leads to poor out-of-sample generalisation.
This illustrates how SEM helps generating and investigating complex hypothesis not available by other methods.
The key hypotheses are (i) the immune complex hypothesis and (ii) the T cells and cytokines hypothesis.
On the other hand, when encountering complex hypothesis testing scenarios in practical data analyses, resorting to resampling-based methods is a very natural and effective strategy.
The GABA-benzodiazepine complex hypothesis suggests that benzodiazepines attach to GABA-benzodiazepine complexes in the brain, enhancing chloride conduction resulting in the release of GABA.
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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