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The within-class variability factor dimension (L) is smaller than CF, so U has low rank (C F×L dimensions).
To assess whether there was a significant association between factor dimension and level of importance, a chi square test of association was conducted and found to be non-significant (χ 2(4)=8.99, p=0.06).
The codimension (or quotient or factor dimension) of a subspace L of a vector space V is the dimension of the quotient space (V/L); it is denoted by (operatorname{codim}_{V}L) or simply by codimL and is equal to the dimension of the orthogonal complement of L in V, and we have (operatorname{dim} L+operatorname{codim} L=operatorname{dim} V).
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Differences for the factor attribute dimension were expected, simply because each dimension was intended to measure unique aspects of the overall attitude.
As in Study 1, differences for the factor attribute dimension were irrelevant (and partly expected), simply because each dimension was intended to measure unique aspects of the overall attitude.
Hence, counterbalancing for brand cue also helped minimizing order effects for the factor attribute dimension.
Figure 3 Relationship between factor dimensions and importance ratings.
Percentages of factors in three factor dimensions that ranked in the top, middle, and bottom third in overall importance (Study 1).
It is a factors analysis procedure that explores whether the factor structure of the scale model is collected fit the actual data, whether the index of scalar can be effectively used as a factor dimensions (latent variable) measuring variables.
From the same item pool, two more general subscales measuring the broader (second order factor) dimensions of Neuroticism and Extraversion (14 items each) according to Eysenck [ 40] can be additionally composed.
Table 5 Average variance extracted, square root of AVE and matrix of correlations between factors Dimension AVE 1 2 3 4 1.
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