The phrase "a significantly simpler model" is correct and usable in written English.
You can use it when comparing the complexity of different models, particularly in scientific, technical, or analytical contexts.
Example: "After reviewing the data, we concluded that a significantly simpler model would yield more accurate predictions."
Alternatives: "a notably easier model" or "a considerably less complex model".
The model with the highest LOD score was fitted to the QTL and when the models did not differ significantly the simpler model was chosen ('one locus-one trait').
In addition, we found that a model allowing a variation in ω between toothed whales and baleen whales is significantly better than a simpler model estimating the same ω for both major lineages of whales (P = 0.04, χ test).
We found that a model that allows a variation in ω between the common ancestor (ω1 = 0.15) and all 16 nonwhale mammals (ω2 = 0.35) is significantly better than a simpler model that assumes the same ω (ω0 = 0.16) across the tree (P = 0.016), which suggested that a functional relaxation of Pkd2l1 arose in the common ancestor of whales.
Based on a simpler model (model 2) the odds of attempting to lose weight was significantly higher among girls (AOR = 1.37, CI 1.11 to 1.70) compared to boys.
Neglecting viscous effects, significantly simpler and faster models are available, but may not provide sufficient information regarding the true nature of the flow.
The likelihood ratio chi-squared test produced a p-value indicating whether the simpler model was significantly worse than the previous model; this provided a second test to support the AIC comparison and also provided p-values for significance of model terms.
The MK1 model was used in all likelihood reconstructions because in all cases, the AsymmMK model was not a significantly better model, therefore we used the simpler model (the MK1 model has one less parameter).
The regression models increasingly included more transcription factors until the prediction performance of the more complex model (e.g. three transcription factors) did not significantly improve on the simpler model (i.e. two transcription factors).
The model allowing distinct rates of speciation and extinction for clownfishes and damselfishes also explained the data significantly better than the simpler model where both groups have the same rate (median likelihood ratio test P = 0.02).
