Q methodology: centroid extraction
Extracts factors/ components using the centroid approach as an alternative to Principal Components Analysis.
centroid(tmat, nfactors = 7, spc)
tmat |
a correlation matrix between Q-sorts. |
nfactors |
number of factors/ components to extract. Defaults to 7. |
spc |
the threshold to accept factor results, set to 0.00001 by default (in Brown 1980, this is set to 0.02). |
This functions implement the centroid method for extraction of factors, an alternative to Principal Components that can be used in Q methodology. The calculations are based in Brown (1980; below).
The function is called from within qmethod
where the attribute extraction
is set to centroid
.
This function can be used independently where conducting each step of the analysis separately, preceded by a correlation between Q-sorts and followed by the rotation of factors/ components (see below), calculation of z-scores, etc.
Returns a matrix with Q-sorts as rows, and rotated factors as columns.
This is a function used within qmethod
. Rarely to be used independently.
Frans Hermans
Brown, S. R., 1980 Political subjectivity: Applications of Q methodology in political science, New Haven, CT: Yale University Press, pages 208-224.
See further references on the methodology in qmethod-package
.
#### Example require('qmethod') require ("psych") # Load data data("lipset") lip <- lipset[[1]] # Correlation matrix corlip <-cor(lip) # Centroid extraction lipcent <- centroid(corlip) lipcent ## To finalise the full analysis, continue with the following steps # Rotation (in this example, varimax over 3 factors) vmax <- varimax(lipcent[,1:3]) # Automatic pre-flagging of Q-sorts flags <- qflag(unclass(vmax$loadings), nstat = 33) # Calculate z-scores and general characeristics results <- qzscores(lip, 3, loa=vmax$loadings, flagged=flags) summary(results) # Consensus and distinguishing statements results$qdc <- qdc(lip, 3, zsc=results$zsc, sed=results$f_char$sd_dif) plot(results) ## All of the above can be done with: results2 <- qmethod(lip, 3, extraction="centroid")
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