1. Introduction
Digital transformation has introduced new challenges to organizations worldwide [
1]. The coronavirus disease 2019 (COVID-19) pandemic has accelerated this digital transformation, changing how individuals work, think, and interact [
2,
3]. Two industrial revolutions are concurrently unfolding [
4]. The fourth industrial revolution (Industry 4.0) involves artificial intelligence, machine learning, the Internet of Things, and big data [
5]. Simultaneously, the fifth industrial revolution (Industry 5.0) concerns the synergy between humans and autonomous machines, such as robots [
6]. As a result, the digital era has dramatically altered the nature of work, rendering leadership more crucial than ever [
7]. Leadership practices need to adapt to this new setting to ensure long-term success [
3].
The effects of digital transformation have accelerated organizations’ perspectives on the importance of innovation as a source of productivity, efficiency, and sustainability [
8]. The organization’s capacity to innovate has become an even more crucial factor for securing and maintaining a competitive advantage than ever before [
9]. Consequently, innovation is a major focus for business leaders worldwide [
10]. The significance of the human element in this process cannot be overstated [
8]. Given the essential role of human agency within organizations [
11], leadership behavior emerges as a fundamental determinant of an organization’s innovation potential [
12]. Organizations are guided toward innovation through the behaviors and actions of their leaders [
13].
Numerous studies have explored various aspects of innovative behavior, examining elements such as green innovation [
14], leader–member exchange methods [
15], predicted performance [
16], and inclusive reviews [
17]. Despite these theoretical advancements, leading innovation emerges as one of the most significant challenges for today’s leaders [
18]. As innovation is a primary driver of organizational growth, understanding its causes is crucial [
19]. Leadership, being one of the most vital components in innovation, raises the question of which specific leadership behaviors best contribute to fostering innovation [
20]. Accordingly, a critical challenge for today’s organizations is promoting leadership behavior that encourages innovation [
21]. The significance of what leaders do and how they do it is grounded in their behaviors [
22]. Thus, there is a gap in addressing commitment to diversity, agility, and risk taking as potential influences on innovative leadership (IL) behaviors, which remains an unexplored territory.
While previous research has empirically examined how agility contributes to innovative behavior (e.g., [
23]), as well as risk-taking propensity (e.g., [
24,
25]) and commitment to diversity (e.g., [
26]), these aspects provide a limited view when not considered collectively. To date, integrative research has not been undertaken to understand the comprehensive behavior that leads to or hinders leaders’ innovative behavior. This study addresses this issue and aims to fill this gap by proposing a dual approach based on the presence or absence of leaders’ innovative behavior.
This study examines how a leader’s commitment to diversity, agility, and risk taking can influence their innovative behavior as either promoters or impediments, as these constructs stem from the prior literature on the generation of innovative behavior (e.g., [
27,
28]). This research aims to address the following question: What configurations promote or obstruct a leader’s innovative behavior? The uniqueness of this study rests in the empirical evidence it offers regarding the pathways that guide leaders toward innovative behavior, how to dodge the pitfalls of noninnovative leadership (~IL), and its theoretical and managerial implications.
Leadership agility is another critical component in innovation, as prior studies have highlighted (e.g., [
29]). Moreover, the human aspect of agility is particularly pertinent in fast-evolving and complex digital times, given the limited knowledge of how leadership agility aids in managing innovation [
30]. Finally, an organization’s ability to adapt to challenges and opportunities hinges on the agility of its leaders [
31].
While innovation is a complex process reliant on various behaviors [
21], much of the existing research treats innovation as a linear process with uniformly established directive antecedents [
32]. This study applied fuzzy-set qualitative comparative analysis (fsQCA), an asymmetric case configurational method that captures the elements identifying cases of IL behavior. FsQCA facilitates the analysis of conditions, leading to both the presence and absence of results, which traditional statistical methods cannot achieve [
33]. A configurational approach is optimal for investigating the intricate relationships influencing leaders’ innovative and noninnovative behavior outcomes [
34]. An empirical survey of 119 online questionnaires served as the data source. Ultimately, this paper presents a fresh perspective on theory and empirical analysis in the context of the interconnected, nonlinear digital world by scrutinizing causal complexity through the lens of set theory [
34].
3. Methods
FsQCA is based on fuzzy-set theory, which acknowledges multiple interdependent elements simultaneously [
66] and proposes that various combinations of conditions can yield the same outcome [
67]. Consequently, this technique is suitable for the complex real-life phenomena observed in social science studies [
68]. It evaluates the contribution of independent conditions’ combinations to the outcome rather than the singular contribution of each condition [
69]. fsQCA is a data analysis approach applicable to exploratory studies, unveiling alternative theoretical explanations grounded in causal complexity [
70]. It aids with both inductive and deductive reasoning, facilitating theory elaboration and testing [
69]. This study adopted an inductive approach with fsQCA to investigate the numerous pathways leading to IL and ~IL behaviors.
Furthermore, fsQCA is suitable for various scientific studies [
66,
68,
71] for analyzing asymmetric characteristics effects and distinguishing them from the traditional bivariate interaction effects used in conventional statistical techniques [
72]. It differs from traditional methods in that the presence of an outcome is not the logical inverse of the outcome’s absence (asymmetric causality): the same conditions produce different outcomes (multifinality), and multiple pathways can lead to the same result (equifinality) [
33,
73].
FsQCA considers necessary conditions (i.e., a condition that must always be present for the outcome to occur) and/or sufficient conditions (i.e., a condition that, although present, does not guarantee the occurrence of the outcome) [
73,
74]. The conditions of the configurations can be classified as either core or peripheral. However, core conditions demonstrate a stronger connection to the outcome than peripheral ones [
73]. In addition, the coverage score indicates the number of cases that result in the outcome, and consistency reveals the extent to which the cases that exhibit a combination of conditions lead to the outcome [
33,
73].
3.1. Data Collection and Measures
This study evaluated the conditions (diversity, risk taking, agility) related to an innovative or noninnovative leader’s behavioral outcome (denoted using the ~ symbol before the condition or outcome designation). A convenience sample was used to garner 119 valid responses from an online survey disseminated globally. Data were collected by circulating the survey link through social media platforms, including LinkedIn, Instagram, and WhatsApp, amongst others. The survey introduction clarified that the data were solely to be used for academic purposes and would be processed conjunctively, and participant confidentiality would be upheld as the information could not be traced back to the respondent. We emphasized honest responses, assuring participants that there were no ‘correct’ or ‘incorrect’ answers. The fsQCA method has been employed in both small- and large-N value studies [
73,
75]. Participants were then required to confirm that they held a leadership position; negative responses led to survey termination. In terms of demographics, the sample included 63.0% men, 64.7% aged between 41 and 50 years, and 75.6% postgraduates, and 52.1% were involved in the services sector.
Table 1 provides detailed demographic data of the respondents.
FsQCA acknowledges the use of nonprobabilistic convenience samples but considers it a satisfactory initial approximation of the studied phenomena [
76]. The online responses were collected via Qualtrics
® (version June 2022), which was accompanied by a link that detailed this study’s objectives and estimated response time, which was shared with the leaders. To temper the common method variance bias, the anonymity of respondents was ensured, and the questions were counterbalanced [
77]. Furthermore, Harman’s single-factor test demonstrated that all items loaded on one nonrotated factor accounted for 22.6% of the variance. Thus, the combined procedures and results do not suggest that common method bias was a significant concern in this context [
77].
This study formulated a conceptual model and empirically scrutinized various causal recipes for leadership innovation. Owing to the COVID-19 pandemic, organizations needed quicken their pace of digital transformation, thereby altering leadership behaviors [
2]. The measurement instrument for the digital leader was derived from the existing literature. All items were gauged using a five-point Likert scale, ranging from 1 = entirely disagree to 5 = entirely agree, in response to the statement, “A digital leader must…”. IL (outcome) used an eight-item scale with items such as “propose new approaches to problems” and “encourage the team to try new solutions to a problem”. The measures for the conditions were as follows: diversity used a six-item scale, with items such as “encourage team diversity” and “work productively with individuals from a wide range of backgrounds”; risk taking used a six-item scale with items such as “take calculated risks” and “have a contingency plan for the tasks”; and agility used a five-item scale with items such as “respond quickly to changes in the business environment”.
In the exploratory analysis, the data were deemed suitable for factoring (KMO = 0.906, and the significance level of Bartlett’s test of sphericity > 0.001). Four factors accounted for 58.8% of the variance [
78]. All factor loadings surpassed 0.5, and item-to-total correlation coefficients exceeded 0.3 [
79]. The range of Cronbach’s alphas was between 0.67 and 0.83, an acceptable range for exploratory studies in the social sciences [
80]. Consequently, these constructs were regarded as reliable and satisfactory. The byproduct data for ~IL were generated by the set-negated function of the calibrated data in fsQCA
® software (Version 3.0), representing the lack of IL. As a result, a reliability measurement is not reported.
3.2. Data Calibration
fsQCA analysis begins with data calibration. It is necessary to calibrate the data before using fsQCA to ensure that each observation belongs to a specific set or does not [
81]. To convert Likert scores into fuzzy membership values—which vary from zero to one—conditions are calibrated based on their degree of membership in sets of cases [
33]. Three different anchors were identified to calibrate survey data into fuzzy-set values according to degree of membership: 0.95 for full membership, 0.50 for maximum membership ambiguity, and 0.05 as the threshold for full nonmembership [
82].
Table 2 presents the descriptive statistics for the conditions and outcomes, along with the cutoff points used for the calibration of causal conditions. FsQCA identifies both the logically possible and empirically existing configurations [
83].
3.3. Data Analysis Procedure
3.3.1. Analysis of Necessary Conditions
The second step in fsQCA involves analyzing the necessary conditions to ascertain whether the presence or absence of any causal conditions (D, R, A) is required for the outcome to occur (IL or ~IL). A necessary condition appears in all cases and leads to the outcome [
33].
Table 3 presents the results of the necessity analysis. These findings suggested that none of the individual conditions were necessary to determine IL or ~IL independently, based upon a consistency threshold of 0.9 [
84]. In other words, neither diversity, risk taking, nor agility alone was a necessary condition to produce IL or ~IL.
3.3.2. Analysis of Sufficient Conditions
A truth table was generated, taking into account all possible outcome configurations. The truth table includes 2
k configurations or rows, with ‘k’ representing the number of conditions (for example, 2
3 = 8) [
84].
However, sample cases do not necessarily represent all configurations, and some rows have zero instances (i.e., logical remainders) [
82]. Subsequently, the truth table is reduced to significant configurations based on the frequency of empirical observations for each possible combination [
85]. The recommended minimum frequency threshold for the inclusion of configurations in this sample size for causal analyses was one [
86,
87]. Furthermore, configurations exceeding a consistency value of 0.80 were coded 1 (signifying larger consistency gaps), whereas those falling below this value were coded 0 [
81].
Appendix A contains the truth tables for IL and ~IL. FsQCA offers three different solutions for handling logical remainders: a complex solution, a parsimonious solution, and an intermediate solution [
84]. This study adhered to best practices, usually favoring intermediate solutions over other methods [
81,
84]. For more information on complex, parsimonious, and intermediate solutions, refer to [
73,
81].
4. Results
The results of the analysis indicated no necessary conditions that led to either IL or its absence, referred to as ~IL. Every condition for the result existed as a core condition in both models, appearing in both parsimonious and intermediate solutions [
73]. The models that led to IL and ~IL are displayed in
Table 4 and
Table 5, respectively. Black circles (●) indicate the presence of a condition, while white circles (○) denote its absence. If a condition did not contribute to the configuration, the space remains blank.
The solution consistency was 0.865 for IL and 0.773 for ~IL, indicating a good fit for both models as they were above the cutoff of 0.75 in explaining their outcomes [
81,
88]. Both models also fell within the acceptable coverage range of 0.25–0.90 [
81,
88], with values of 0.864 for IL and 0.834 for ~IL. This suggested that the identified configurations could explain a substantial portion of the outcome [
89]. Thus, in terms of consistency and coverage, both models were deemed informative [
81,
90]. Two more measures of fit for each configuration are raw consistency and raw coverage. Raw consistency represents the fraction of cases that are compatible with the outcome (i.e., the number of cases that display a given set of conditions along with the outcome, divided by the number of cases with the same set of conditions but without the outcome) [
73]. Raw coverage specifies the proportion of instances of the outcome that show a particular causal combination [
91]. All configurations had a raw consistency above 0.80 and a raw coverage above 0.35. Moreover, the results confirmed the fsQCA assumptions of asymmetric causality, multifinality, and equifinality [
33,
92].
Table 4 presents the asymmetric causal configuration of the innovative leader, consisting of four multicondition configurations. Each condition is represented in the IL model and contributes to the configurations. Configurations 1, 2, and 3 illustrate that, to be an innovative leader, only one of the conditions (agility, diversity, or risk taking) needs to be present. The results demonstrate that even in the absence of two conditions, the presence of the third condition yields an outcome. For example, configuration 1 in
Table 4 shows the IL resulting from the lack of diversity and agility when risk taking is present. Configuration 2 conveys that if a leader shows commitment to diversity, IL occurs, even with the absence of agility and risk taking. Configuration 3 asserts that if agile attributes are present, IL occurs, even without diversity and risk taking. Finally, configuration 4 indicates that IL occurs when all conditions are present (e.g., [
71,
93]). This configuration necessitates a combination of diversity, agility, and risk taking to yield IL. The selection of causal conditions is deemed suitable as all conditions are represented (either present or absent) within the configurations, highlighting their relevance to the outcome. Lastly, the concept of ~IL was explored, considering the absence of IL. Three configurations outlined in
Table 5 show ~IL behavior. The results support that all configurations can occur in the absence of two conditions. Therefore, when two causal conditions of the model are missing (i.e., diversity, risk taking, agility), ~IL occurs.
Robustness Checks
The selection of frequency and consistency thresholds, which determine the cases included in the fsQCA analysis and impact the results, makes robustness checks crucial to conduct [
94]. In line with recommendations from the previous literature (e.g., [
86,
94]), the inherent robustness factors in fsQCA pertain to alterations in the calibration of conditions, the frequency cutoff, and the consistency cutoff. As such, various anchors were utilized to recalibrate survey data into fuzzy-set values: 0.90 (full membership), 0.50 (maximum ambiguity), and 0.10 (full nonmembership). The results demonstrated that the outcomes for IL and ~IL remained the same. Regarding the frequency cutoff, the threshold was adjusted to two, revealing a subset of the original findings (configuration 1, 2, and 4 for IL and configuration 1 and 2 for ~IL) once more. The consistency threshold was altered to 0.89 for IL and 0.87 for ~IL, again yielding a subset of the original findings (configurations 1 and 4 for IL and configuration 3 for ~IL). More stringent thresholds can generate subsets of the original findings related to robustness checks [
86]. If slightly different choices yield broadly similar results, the findings are deemed robust [
84]. Consequently, this study’s results seem robust.
5. Discussion
The findings revealed various causal configurations, which include specific conditions, that are necessary to encourage leaders’ innovative behavior and prevent noninnovative behavior. The selection of conditions was deemed appropriate as they are core conditions that appeared in both model configurations. The overall consistency in both models surpassed the threshold of 0.75, thus meeting the standards to be considered informative [
92]. Furthermore, all varying configurations in IL and ~IL demonstrated levels of consistency above the threshold.
When investigating IL, four paths were generated. The findings indicate that the causal conditions selected in this study all hold equal importance; each condition appears in one of the configurations, even when the others are absent. This evidence suggests that, even in the absence of two causal conditions, the condition that is present within the configuration guides the outcome (i.e., IL). This underscores the strength of each selected condition that fosters innovation, confirming previously published research (e.g., [
95]).
In this digital age, the value of agility in navigating innovative change has become increasingly apparent [
31]. While agility is often studied within the context of organizations, the role of individual agility in promoting innovation is equally important, aligning with the existing literature [
23]. Consistent with [
96], the findings demonstrate that leadership agility plays a crucial role in stimulating innovation.
Risk-taking propensity also varies among leaders but is another key attribute in driving innovation, as [
19] confirmed. Therefore, innovation emerges when leaders take risks and encourage risk taking among their employees [
24].
Finally, the benefits of commitment to diversity were confirmed, revealing that such commitment contributes to innovation by offering leaders broader and more diverse perspectives on innovative action, as suggested by prior studies (e.g., [
26,
27]). Reaping the rewards from diversity, such as creativity and innovation, requires continuous effort. Hence, the commitment of leaders is vital for sustained organizational success [
97]. In conclusion, the conditions selected in this research reaffirm the existing literature on the key factors that propel leaders toward innovation.
The results regarding ~IL behavior corroborate those of the study by [
19], suggesting that leaders who evade risk taking tend to exhibit noninnovative behavior. Additionally, a lack of commitment to diversity appears to foster ~IL, as innovation is not commonly found in homogeneous teams—a concept supported by [
50]. Lastly, in rapidly changing environments, the scarcity of leadership agility contributes to ~IL, reinforcing the findings of the study by [
96].