FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2961506633> ?p ?o ?g. }

• W2961506633 abstract "Abstract Using sampling experiments, we found that, when there are fewer groups than variables, between-groups PCA (bgPCA) may suggest surprisingly distinct differences among groups for data in which none exist. While apparently not noticed before, the reasons for this problem are easy to understand. A bgPCA captures the g -1 dimensions of variation among the g group means, but only a fraction of the ∑ n i − g dimensions of within-group variation ( n i are the sample sizes), when the number of variables, p , is greater than g -1. This introduces a distortion in the appearance of the bgPCA plots because the within-group variation will be underrepresented, unless the variables are sufficiently correlated so that the total variation can be accounted for with just g -1 dimensions. The effect is most obvious when sample sizes are small relative to the number of variables, because smaller samples spread out less, but the distortion is present even for large samples. Strong covariance among variables largely reduces the magnitude of the problem, because it effectively reduces the dimensionality of the data and thus enables a larger proportion of the within-group variation to be accounted for within the g -1-dimensional space of a bgPCA. The distortion will still be relevant though its strength will vary from case to case depending on the structure of the data ( p , g , covariances etc.). These are important problems for a method mainly designed for the analysis of variation among groups when there are very large numbers of variables and relatively small samples. In such cases, users are likely to conclude that the groups they are comparing are much more distinct than they really are. Having many variables but just small sample sizes is a common problem in fields ranging from morphometrics (as in our examples) to molecular analyses." @default.
• W2961506633 created "2019-07-23" @default.
• W2961506633 creator A5011235464 @default.
• W2961506633 creator A5062254329 @default.
• W2961506633 creator A5071901201 @default.
• W2961506633 date "2019-07-18" @default.
• W2961506633 modified "2023-09-26" @default.
• W2961506633 title "Seeing distinct groups where there are none: spurious patterns from between-group PCA" @default.
• W2961506633 cites W1490832211 @default.
• W2961506633 cites W1527466317 @default.
• W2961506633 cites W1539401426 @default.
• W2961506633 cites W1593702583 @default.
• W2961506633 cites W1772895764 @default.
• W2961506633 cites W1821979374 @default.
• W2961506633 cites W1850430998 @default.
• W2961506633 cites W1908011449 @default.
• W2961506633 cites W1932063339 @default.
• W2961506633 cites W1964791943 @default.
• W2961506633 cites W1994100095 @default.
• W2961506633 cites W2001619934 @default.
• W2961506633 cites W2012971267 @default.
• W2961506633 cites W2014154358 @default.
• W2961506633 cites W2037357509 @default.
• W2961506633 cites W2039873798 @default.
• W2961506633 cites W2067150228 @default.
• W2961506633 cites W2067315043 @default.
• W2961506633 cites W2071703572 @default.
• W2961506633 cites W2074557013 @default.
• W2961506633 cites W2080703293 @default.
• W2961506633 cites W2116967918 @default.
• W2961506633 cites W2121096133 @default.
• W2961506633 cites W2124024366 @default.
• W2961506633 cites W2126187362 @default.
• W2961506633 cites W2131666115 @default.
• W2961506633 cites W2132225134 @default.
• W2961506633 cites W2133385271 @default.
• W2961506633 cites W2134965212 @default.
• W2961506633 cites W2134966509 @default.
• W2961506633 cites W2139101237 @default.
• W2961506633 cites W2141612033 @default.
• W2961506633 cites W2142515686 @default.
• W2961506633 cites W2154635002 @default.
• W2961506633 cites W2159176912 @default.
• W2961506633 cites W2161597133 @default.
• W2961506633 cites W2169380360 @default.
• W2961506633 cites W2169973887 @default.
• W2961506633 cites W2225936424 @default.
• W2961506633 cites W2401143106 @default.
• W2961506633 cites W2405411212 @default.
• W2961506633 cites W2465241759 @default.
• W2961506633 cites W2533759227 @default.
• W2961506633 cites W2539308372 @default.
• W2961506633 cites W2569402445 @default.
• W2961506633 cites W2604243177 @default.
• W2961506633 cites W2623319323 @default.
• W2961506633 cites W2730822049 @default.
• W2961506633 cites W2740754384 @default.
• W2961506633 cites W2741716125 @default.
• W2961506633 cites W2768725243 @default.
• W2961506633 cites W2768812036 @default.
• W2961506633 cites W2801928643 @default.
• W2961506633 cites W2805964580 @default.
• W2961506633 cites W2921445455 @default.
• W2961506633 cites W2944744814 @default.
• W2961506633 cites W2950283901 @default.
• W2961506633 cites W4210446702 @default.
• W2961506633 cites W4211153193 @default.
• W2961506633 cites W4256209565 @default.
• W2961506633 doi "https://doi.org/10.1101/706101" @default.
• W2961506633 hasPublicationYear "2019" @default.
• W2961506633 type Work @default.
• W2961506633 sameAs 2961506633 @default.
• W2961506633 citedByCount "3" @default.
• W2961506633 countsByYear W29615066332019 @default.
• W2961506633 crossrefType "posted-content" @default.
• W2961506633 hasAuthorship W2961506633A5011235464 @default.
• W2961506633 hasAuthorship W2961506633A5062254329 @default.
• W2961506633 hasAuthorship W2961506633A5071901201 @default.
• W2961506633 hasBestOaLocation W29615066331 @default.
• W2961506633 hasConcept C105795698 @default.
• W2961506633 hasConcept C111030470 @default.
• W2961506633 hasConcept C114614502 @default.
• W2961506633 hasConcept C121332964 @default.
• W2961506633 hasConcept C126780896 @default.
• W2961506633 hasConcept C129848803 @default.
• W2961506633 hasConcept C178650346 @default.
• W2961506633 hasConcept C194257627 @default.
• W2961506633 hasConcept C198531522 @default.
• W2961506633 hasConcept C27438332 @default.
• W2961506633 hasConcept C2778334786 @default.
• W2961506633 hasConcept C2781311116 @default.
• W2961506633 hasConcept C33923547 @default.
• W2961506633 hasConcept C44870925 @default.
• W2961506633 hasConcept C46362747 @default.
• W2961506633 hasConcept C49040817 @default.
• W2961506633 hasConcept C62520636 @default.
• W2961506633 hasConcept C97256817 @default.
• W2961506633 hasConcept C97355855 @default.
• W2961506633 hasConceptScore W2961506633C105795698 @default.
• W2961506633 hasConceptScore W2961506633C111030470 @default.

• next