Can i use individual items, each measured on Likert 5 point scale, and which are a part of a formative construct to do One way ANOVA? Please give appropriate reference for the same.
Using individual items measured on a Likert 5-point scale for a One-way ANOVA can be tricky, especially if these items are meant to be part of a formative construct. One-way ANOVA is typically used to compare means between two or more independent groups on a single continuous dependent variable. However, with Likert scale items, you're dealing with ordinal data rather than continuous data, and the assumptions of ANOVA might not hold.
Using individual items measured on a Likert 5-point scale as part of a formative construct in a One-Way ANOVA can be problematic. Let's break down why:
ANOVA might not capture the underlying structure of your construct adequately.
Formative constructs are different from reflective constructs, where items are indicators of an underlying latent variable. In reflective constructs, items are interchangeable, and the focus is on the shared variance among the items. On the other hand, in formative constructs, each item contributes uniquely to the overall construct, and the focus is on the variability in the composition of the items.
For formative constructs, a better approach might be to use techniques such as principal component analysis (PCA) or partial least squares structural equation modeling (PLS-SEM) to analyze the relationships between the items and the construct.
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