The study utilized measurement and structural models in this study to comprehensively analyze the relationship between ethical idealism and fraud detection, mediated by conscientiousness within the audit context. The measurement approach enabled the assessment of the validity and reliability of the variables under investigation, ensuring that the data accurately represented the core constructs (
Chua, 2023). Techniques such as confirmatory factor analysis were employed, alongside evaluations of both convergent and discriminant validity, to verify the reliability of the measurement instruments (
Ringle & Sarstedt, 2016). The structural model allowed exploring the complex interrelationships between the variables and examining their impact on fraud detection. Through the application of structural equation modeling, the research effectively visualized the connections between variables, providing a detailed understanding of the underlying mechanisms that drive the observed outcomes (
Hair et al., 2019). Consequently, the integration of measurement and structural models established a robust methodological framework for this study, facilitating a confident and rigorous investigation into the influence of ethical idealism on fraud detection, mediated by conscientiousness in the audit context.
4.2. Model Measurement
Figure 2 presents the measurement model, a crucial statistical technique for evaluating the robustness of the study. It is an approach to access and validate the robustness of the model. Determining factor loadings offers a straightforward method to assess the alignment between measures and underlying constructs. The key components of a measurement model, validity, and reliability should be examined to determine its quality. Metrics such as composite reliability, Cronbach’s alpha, and average variance extracted (AVE) are commonly used for this purpose. Employing a robust measurement technique underpins empirical research, lending it legitimacy and rigor, while also laying the groundwork for future investigations (
Hair et al., 2020).
Accounting for factor loadings and measurement error,
Table 3 shows the composite reliability values (ρ
a and ρ
c) evaluating how consistently a set of items assesses a given construct. While ρ
a provides an adjusted estimate usually chosen in PLS-SEM owing to its resilience against loading bias, composite reliability (ρ
c) analyses internal consistency more precisely than Cronbach’s alpha. Combining both tests improves the evaluation of dependability.
The results reveal different degrees of dependability among the constructs. Although conscientiousness has a low Cronbach’s alpha (0.475), showing weak internal consistency, its composite reliability (ρa = 0.713; ρc = 0.656) and AVE (0.631) are within reasonable levels, therefore indicating moderate construct dependability. Although one item (C-PT2) exhibited a somewhat low factor loading (0.61), the other item (C-PT1 = 0.943) corrected, thereby confirming retention of the construct owing to the theoretical significance and suitable overall measurements. Regarding both items, the VIF values (1.107) show no multicollinearity issues.
With Cronbach’s alpha (0.772), ρa (0.801), and ρc (0.845), Ethical Idealism displayed strong consistency above the recommended 0.70 level. Although one indicator (E1 = 0.549) dropped somewhat below the recommended loading of 0.70, its inclusion was supported based on content authenticity and since the total AVE (0.525) stayed above the acceptable threshold. For every item, VIF values were less than two, therefore verifying indication independence.
With a high Cronbach’s alpha (0.868), ρa (0.894), ρc (0.895), and reasonable AVE (0.521), Fraud Detection showed the strongest measurement qualities. Though one item (FD4 = 0.433) fell below the average threshold, most loadings were above 0.70. This item was kept because of its conceptual importance, since general construct dependability stayed good. Suggesting no multicollinearity issues, the VIF values for every item varied from 1.247 to 2.263.
With reasonable degrees of internal consistency, convergent validity, and indicator relevance across constructions, the reliability and validity results generally supported the idea that the measurement model is suitably strong for structural modeling.
Table 4 presents the Heterotrait–Monotrait (HTMT) ratio, a metric used to assess the uniqueness of each construct. HTMT values are derived by examining the relationships between different constructs and the correlations within a single construct, known as monotrait correlations. The Heterotrait–Monotrait (HTMT) ratio values indicate the level of discriminant validity between the constructs. The HTMT value between conscientiousness and Ethical Idealism is 0.497, which is below the commonly accepted threshold of 0.85, suggesting that these two constructs are sufficiently distinct. The HTMT value between conscientiousness and Fraud Detection is 0.192, indicating a low correlation and strong discriminant validity. Similarly, the HTMT value between Ethical Idealism and Fraud Detection is 0.278, further confirming that these constructs are distinct. Overall, the results suggest that discriminant validity is well established, as none of the HTMT values exceed the recommended threshold.
Table 5 represents the R-square values for the constructs, indicating the amount of variance explained by the model. Conscientiousness has an R-square of 0.116, suggesting that the model explains about 11.6% of the variance in this construct, which is relatively low. Fraud Detection has an R-square of 0.059, indicating that only about 5.9% of the variance is explained, which is also a modest amount. These values suggest that while the model captures some of the variance, there are likely other factors not accounted for in explaining these constructs.
The f-square values reveal the strength of the relationships between the variables. The relationship between conscientiousness and Fraud Detection is very weak, with an effect size of 0.001, indicating almost no impact. On the other hand, the relationship between Ethical Idealism and conscientiousness shows a moderate effect, with an f-square value of 0.131, suggesting a small but meaningful influence. The effect of Ethical Idealism on Fraud Detection is similarly small, with an f-square value of 0.050, indicating a minor impact.
The model fit indicators suggest that the model is close to an acceptable fit. The Standardized Root Mean Square Residual (SRMR) value (0.074) is slightly below the recommended threshold of 0.08, indicating a reasonably good fit. The Unweighted Least Squares discrepancy (d_ULS) (0.663) and Geodesic Distance (d_G) (0.175) values are within acceptable ranges, further supporting model consistency. While the Chi-square value (422.326) is relatively high, this is common in larger sample sizes. The Normed Fit Index (NFI) (0.796) is approaching the recommended threshold of 0.90, suggesting that the model fit could be improved but remains within a reasonable range. Overall, the results indicate that the model demonstrates a moderately acceptable fit, with some room for refinement.
4.3. Structural Model
The structural model serves as a visual representation for constructing a Structural Equation Model (SEM). This approach facilitates the acquisition of knowledge by integrating the primary components that form the foundation of the study. The structural model facilitates the formulation of reliable hypothesis–testing links between theoretical constructs and their empirical indicators, as well as among the constructs themselves. Additionally, it permits the concurrent utilization of many indicator variables for each construct. Path factors elucidate the extent and orientation of these interactions. This method can be utilized to validate concepts and ensure a systematic organization of the structure (
Prayitno et al., 2021). The visual representation of the structural model is depicted in
Figure 3.
The hypothesis testing analysis presented in
Table 6 provides significant and insightful perspectives. Path coefficients and t-values indicate the strength and relevance of these interactions. H1 (Ethical Idealism -> Fraud Detection) shows a significant positive relationship, with a t-statistic of 4.719 and a
p-value of 0.000, since the
p value is less than 0.05, the hypothesis is accepted. On the other hand, H2 (Ethical Idealism -> conscientiousness -> Fraud Detection) shows a very weak effect, with an original sample value of 0.009 and a t-statistic of 0.437, which is below the commonly accepted threshold of 1.96 for significance. Additionally, the
p-value of 0.662 is much higher than the 0.05 threshold, indicating that this indirect relationship (via conscientiousness) is not statistically significant. As a result, the hypothesis is rejected, meaning that the proposed mediation effect for conscientiousness between Ethical Idealism and Fraud Detection is not statistically significant.
Additionally, with a
p-value of 0.000, the findings in
Table 5 show that Hypothesis 1 (H1), which holds a direct positive association between ethical idealism and fraud detection, is statistically significant. This implies that the outcome is quite significant (
p < 0.01), thereby indicating strong support for the claim that more ethical idealism improves auditors’ capacity to identify fraud. By comparison, Hypothesis 2 (H2), which suggested a mediating function of conscientiousness in the link between ethical idealism and fraud detection, had a
p-value of 0.662. Conscientiousness does not clearly moderate this link in the current model as indicated by this non-statistically significant (
p > 0.05). H2 is disregarded as there is no significant indirect influence.
Again, indicating a statistically significant and regularly positive connection, the confidence interval for the direct effect of ethical idealism on fraud detection ranges from 0.140 to 0.337. By comparison, the confidence range for the indirect impact via conscientiousness runs from −0.050 to 0.086, including zero. This implies that conscientiousness does not significantly change the mediating effect, which is low and not statistically significant, so the influence of ethical idealism on fraud detection is not clear.
Importance-Performance Map Analysis (IPMA) in PLS-SEM is a technique used to assess the relative importance and performance of different constructs and their indicators in a model. It helps identify which variables have the greatest impact on the target construct and where improvements can be made by combining both the importance and performance of variables (
Ringle & Sarstedt, 2016). Measurement Variable (MV) Performance refers to the observed indicators used to measure the latent constructs in the model (
Ringle & Sarstedt, 2016). In the present study, IPMA and MV performance are used to assess the relationship between key factors and their impact on fraud detection. MV performance helps quantify the effectiveness of different attributes, while IPMA highlights areas where improvements can maximize overall outcomes. This approach ensures a clear understanding of which factors significantly influence fraud detection and where strategic efforts should be focused.
Table 5 shows that ethical issues (E1–E2) perform well but vary in relevance, indicating strategic focus. Dependability (C-PT1) and organization (C-PT2) are low-priority but high-performing, suggesting they may not be improvement priorities. The poor fraud detection rates emphasize the need for focused measures to match importance with performance, as shown in
Table 7 and
Figure 4.