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When the VC dimension is low, the expected probability of error is low and ensures a good generalization.
If the variance of the Rasch dimension is low, while being significant in successive contrasts, the scale may be multidimensional.
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Despite its statistical significance, the correlation among the patients between problems with perceived physical appearance and the emotional dimension was low, which might indicate the presence of hidden anxiety or distress.
However, variation in the DFE of beneficial mutations is also predicted in fitness landscape models when the number of character dimensions are varied, with a right-truncated DFE of beneficial mutations predicted when the number of character dimensions is low, only converging toward an exponential DFE of beneficial mutations when the number of character dimensions is large.
Fractal dimension was lowest during fall (D=1.34, SE 0.03) when whales were migrating south ahead of the forming sea ice.
However, ratings on all other dimensions were low.
The correlation coefficient between the 2 dimensions was low (-0.25), confirming that they clearly covered two separate concepts.
***p < 0.001 Correlation coefficients between the DCGM-37 scales and the CHQ-CF87 scales "Physical function" "Role behavioral", "Global behavior" and family related dimensions were low.
Exceptions were seen for dimensions where the number of participants that chose particular responses within these dimensions was low e.g., for four OPQoL-Brief dimensions ('I am healthy enough to have my independence', 'I have social/leisure activities that I enjoy doing', 'I try to stay involved with things' and 'I feel lucky compared to most people').
It is quite possible that these measures are facets of the same dimension that is low mood because of the way FSH is calculated from raw scores.
We prove that searching scales in time with metric entropy (number of covering hyperspheres), if the fractal dimension of the dataset is low, and scales in space with the sum of metric entropy and information-theoretic entropy (randomness of the data).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com