The phrase "a relatively small basis" is correct and usable in written English.
It can be used when discussing a foundation or starting point that is limited in size or scope compared to something larger.
Example: "The study was conducted on a relatively small basis, which may affect the generalizability of the results."
Alternatives: "a somewhat limited foundation" or "a modest basis".
These contradictory trends are hard to interpret and may be caused by chance in the light of a relatively small data basis.
Such fine-scale spatial resolution in combination with a relatively small smoothing kernel is the basis for being able to detect small clusters of activation, for instance within the midbrain and MTL regions where differential activation patterns (i.e., novelty responses and interactions between novelty and reward) might be located in close proximity [Bunzeck, et al. 2010].
Last year those same people were so desperate to find the new Twitter that they mistakenly handed that crown to Foursquare on the basis that a relatively small number of Web 2.0 scenesters used it to find out where their friends were partying.
Every Buddhist tradition has emerged on the basis of a relatively small selection of the overall canon, on which the entire edifice of that tradition has been built.
Constructing an accurate predictive model for clinical decision-making on the basis of a relatively small number of tumor samples with high-dimensional microarray data remains a very challenging problem.
Although these correlations further support the construct validities of the OAV scales, it should be noted that these correlations were calculated on the basis of a relatively small sample of 56 experimental sessions, primarily involving MDMA administration, which is known to rarely induce anxiety or even has anxiolytic effects [91].
Further categorization of gene annotations on the basis of a relatively small set of high-level GO terms, called GO-slim categories, provides a broad overview of biology encoded by the genome [ 44] indicating its uniqueness.
The Duke longitudinal study, carried out in the 1950s and 1960s, suggested secular trends in sexual activity among elderly people on the basis of a relatively small number of participants.
However, many signals in reality are only approximately sparse, where only a relatively small number of the signal coefficients in some basis are significant and the remaining basis coefficients are relatively small but they are not all zero.
These results are unique in that they are analyzed on an individual, rather than population basis, and use a relatively small number of SNPs compared to Genome-wide studies.
