Hybrid Work Engagement

Internal consistency on the seven engagement items is strong. Cronbach's alpha was 0.82 and McDonald's omega total was 0.84, both above the conventional 0.70 cutoff and comfortably above 0.80, suggesting the items measure a coherent construct rather than a set of loosely related opinions. The close alignment between alpha and omega suggests roughly equal item contributions to the underlying factor, which means alpha is not understating reliability here. Split-half reliability (Spearman-Brown corrected) was 0.82, consistent with the alpha estimate. The KMO sampling adequacy of 0.88 is meritorious; the inter-item correlation matrix is well-suited to factor extraction.

Principal Axis Factoring with Varimax rotation on the seven engagement items returned a single factor (eigenvalue 3.81, 54.4% of variance explained). Item loadings range from 0.55 to 0.81 with no cross-loadings above 0.30, supporting a unidimensional reading of the scale. The morning-preference item (Q8) was excluded from the factor model because its corrected item-total correlation was below 0.20 in the reliability step; reporting it separately is the conservative call. Bartlett's test of sphericity was significant (chi-square 132.4, df 21, p < .001), so the correlation matrix is not an identity. Sample size of 50 is below the conventional n ≥ 100 minimum for confirmatory factor analysis; treat the structure here as exploratory and replicate before reporting it as a confirmed model.

The Hybrid Work Engagement survey was administered to 50 members of an engineering and design team following a hybrid policy change. Seven Likert items measuring engagement, plus one exploratory item, were retained for analysis. Internal consistency was strong, with Cronbach's alpha of 0.82 and McDonald's omega total of 0.84. Split-half reliability (Spearman-Brown corrected) was 0.82. Item-total correlations ranged from 0.60 to 0.84 on the seven engagement items; the exploratory morning-preference item (Q8) had an item-total correlation of -0.05 and was excluded from the scale.

Exploratory factor analysis using Principal Axis Factoring with Varimax rotation returned a single factor explaining 54.4 percent of the variance (eigenvalue 3.81). Bartlett's test of sphericity was significant (chi-square = 132.4, df = 21, p < .001) and the Kaiser-Meyer-Olkin measure of sampling adequacy was 0.88, both supporting the use of the correlation matrix for factor extraction. All seven retained items showed salient loadings above 0.55 on the single factor with no cross-loadings above 0.30, supporting a unidimensional engagement scale in this sample. The Survey Strength Index for this dataset was 86 out of 100 (Strong), with all six weighted domains scoring in the green except open-ended alignment, which fell to the warn band on volume rather than coherence. Replication with n ≥ 100 is recommended before reporting the factor structure as confirmed or testing measurement invariance across subgroups.