This section audits symbolic/analytic mathematical consistency (algebra, derivations, dimensional/unit checks, definition consistency).
Maths relevance: light
The paper primarily provides methodological descriptions and reports model outputs (class probabilities, odds ratios, correlations) but contains essentially no explicit equations or step-by-step derivations. As a result, only limited internal algebraic sanity checks (probability normalization and basic transformations like $\text{OR} \leftrightarrow$ percent change) are directly auditable from the PDF text/tables/figures.
✔ Normalization of LCA conditional probabilities (Class 1) (Table 1, Sec. 3.1, p.6)
✔ Normalization of LCA conditional probabilities (Class 2) (Table 1, Sec. 3.1, p.6)
✔ Normalization of LCA conditional probabilities (Class 3) (Table 1, Sec. 3.1, p.6)
✔ Class size proportions sum to $100\%$ (Sec. 3.1 bullets, p.5 (also Table 1, p.6))
✔ Derived cumulative probability: positive current impact for Class 1 (Sec. 3.1 paragraph after Table 1, p.6)
✔ Derived cumulative probability: negative current impact for Class 3 (Sec. 3.1 paragraph after Table 1, p.6)
✔ OR-to-percent increase conversion (examples) (Sec. 3.4, p.8)
✔ OR-to-percent decrease conversion (job loss fear example) (Sec. 3.4, p.8)
⚠ Sign consistency of correlations with 'Negative Affect' (Sec. 3.2, p.6)
⚠ Interaction OR interpretation (buffering effect) (Sec. 3.4, p.8 (also Fig. 4 caption p.9 mentions QKB_2_9_x_QF_7))
⚠ Elastic net 'zero coefficient' implies no effect (Sec. 3.3, p.7)
This section audits numerical/empirical consistency: reported metrics, experimental design, baseline comparisons, statistical evidence, leakage risks, and reproducibility.
All $19$ candidate numeric checks passed. The audit verified internal arithmetic consistency for class proportions (summing to $100\%$), conditional-probability rows (summing to $\sim1$ within rounding tolerance), derived cumulative percentages from component probabilities, $\mathrm{OR}$-to-percent-change conversions (including an 'over $82\%$' inequality), repeated sample-size consistency ($N=2,603$), a sample-size difference identity ($2603-2538=65$), small $\mathrm{OR}$ range stability across sensitivity specifications, and example VIF values being below $5.0$. One item shows a minor text-vs-table rounding difference ($92.4\%$ reported vs $92.3\%$ from displayed components) but remains within the stated tolerance.
✔ C1_class_percentages_sum_100 (Page 5, Section 3.1 (bulleted class descriptions))
✔ C2_table1_class_percentages_sum_100 (Page 6, Table 1 (class sizes in parentheses))
✔ C3_table1_row_sums_current_class1 (Page 6, Table 1, Class 1 (Current Impact on Job Security))
✔ C4_table1_row_sums_expected_class1 (Page 6, Table 1, Class 1 (Expected Impact on Job Security (3 years)))
✔ C5_table1_row_sums_current_class2 (Page 6, Table 1, Class 2 (Current Impact on Job Security))
✔ C6_table1_row_sums_expected_class2 (Page 6, Table 1, Class 2 (Expected Impact on Job Security (3 years)))
✔ C7_table1_row_sums_current_class3 (Page 6, Table 1, Class 3 (Current Impact on Job Security))
✔ C8_table1_row_sums_expected_class3 (Page 6, Table 1, Class 3 (Expected Impact on Job Security (3 years)))
✔ C9_positive_current_impact_class1_cumulative (Page 6, after Table 1 (text: 'Resiliently Optimistic ... cumulative probability of $84.2\%$ of reporting a positive current impact'))
✔ C10_negative_current_impact_class3_cumulative (Page 6, after Table 1 (text: 'Anxiously Declining ... $92.4\%$ probability of reporting a negative current impact'))
✔ C11_sample_size_consistency_2603 (Pages 1, 3, 10-11 (Abstract/Methods/Conclusions mention sample size))
✔ C12_excluded_not_sure_count_difference (Page 10, Section 3.6 (sensitivity analysis sample variants))
✔ C13_or_to_percent_increase_1156 (Page 8, Section 3.4 (text: 'increased the odds by $15.6\%$ (OR $=1.156$)'))
✔ C14_or_to_percent_increase_1111 (Page 8, Section 3.4 (text: 'increased them by $11.1\%$ (OR $=1.111$)'))
✔ C15_or_to_percent_decrease_0174 (Page 8, Section 3.4 (text: 'reduced by over $82\%$ (OR $=0.174$)'))
✔ C16_correlation_sign_consistency_negative_affect (Page 6, Section 3.2 (correlations reported with Negative Affect))
✔ C17_sensitivity_or_stability_qkb211 (Page 10, Section 3.6 (sensitivity analysis ORs for QKB_2_11))
✔ C18_sensitivity_or_stability_qf3 (Page 10, Section 3.6 (sensitivity analysis ORs for QF_3))
✔ C19_vif_below_threshold_examples (Page 10, Section 3.6 (VIF statement with examples))