Introduction

Green consumption constitutes a vital avenue for achieving sustainability goals (Zhang et al., 2024). The environmental advantages and personal benefits associated with green products can effectively activate consumers’ latent demands, thereby promoting green consumption practices (Pekkanen et al., 2018; Wei et al., 2024). To inform consumers about the benefits of their purchases, many businesses opt to present the advantages of green products using numerical data. This approach provides specific and quantifiable evidence of a product’s benefits, thereby enhancing consumer perception and fostering green purchase behaviour (Xie and Kronrod, 2012).

The relevant legal standards provide businesses with a degree of flexibility to present numerical information in accordance with their preferred reference units (Ohlwein, 2022). For example, marketers can represent the benefits of a green product either based on per usage (e.g., saving 1 L of water per usage) or based on the expected usage times during its lifetime (e.g., saving 100 L of water over 100 times usage in the lifetime). Therefore, it is crucial to comprehend how consumers respond to the equivalent yet different numerical representations of potential benefits associated with green products, thus providing implications for businesses to develop and implement effective communication strategies for promoting green purchase behaviour.

An expanding body of research in cognitive psychology and marketing has demonstrated that rescaling identical numerical information can alter consumers’ decisions and behaviours (Camilleri and Larrick, 2014; Lembregts and Van den Bergh, 2019; Schley et al., 2017). For example, when compared to a small-scale frame (e.g., saving 1 kWh of electricity resulting in a cost reduction of ¥0.538), monetary saving benefits expressed in a large-number scale (e.g., saving 10 kWh of electricity resulting in a cost reduction of ¥5.38) have a more pronounced impact on promoting energy-saving behaviours. This phenomenon is attributed to consumers frequently failing to fully process the numerical information, leading them to rely on number values as a simplifying heuristic to estimate quantities and form judgments; therefore, they may perceive a greater savings in the large-number frame and exhibit a stronger willingness towards energy conservation (Wang et al., 2022).

In contrast, when consumers allocate more cognitive resources in analyzing the numerical data or in speculating about the marketer’s motives for employing a rescaling numerical strategy, they may perceive themselves as being manipulated by marketers and thus have an unfavorable response. For example, compared to the aggregated price ($24 per month), the reframed price ($0.8 per day) makes consumers have a sense of manipulation, thereby developing a negative attitude towards product evaluation (Bambauer-Sachse and Mangold, 2009). The inference of marketers’ manipulative intent is more likely to be drawn when the communication strategy employed towards consumers is perceived as attention-grabbing, complex, or unconventional (Bambauer-Sachse and Grewal, 2011; Campbell, 1995). Hence, the utilization of a large-number frame may have adverse effects in certain scenarios. However, it remains unclear whether rescaling the numerical information regarding the benefits of green products will produce a similar backfire effect when presented in a large-number frame as opposed to a small-number frame.

Therefore, unlike the existing literature that has primarily focused on the positive impact of large-number scales (as opposed to small-number scales) on pro-environmental behaviour, this paper adopts two distinct theoretical perspectives, namely the numerosity heuristic and persuasive knowledge model, to investigate the double-edged effect of a large-number frame (in contrast to a small-number frame) on consumer perception, and subsequently their purchase intention. Furthermore, to provide a deeper insight into the impact of a large-number frame on consumers’ responses, this paper incorporates regulatory focus as a motivational state and examines its moderating role in the relationship between the large-number frame and its double-edged outcomes. Therefore, this paper provides a comprehensive and lucid analysis of the relationship between usage-based scale frame and green purchase intention, contributing to the existing literature on message framing, regulatory fit, and pro-environmental behaviours. Practically, this study provides valuable insights to both businesses and governmental entities by deepening the understanding of consumers’ responses to numerical information in the context of sustainability, thereby promoting more sustainable behaviours.

Literature review and hypotheses

Heuristic versus systematic information processing

Consumers often use two primary information-processing models to make judgments, i.e., heuristic thinking and systematic information processing (Chaiken, 1980). Specifically, the heuristic processing approach relies on learned knowledge structures to support rapid decision-making. The primary advantage of heuristic thinking is its capability to facilitate less cognitively demanding and more efficient decisions by utilizing previously acquired and applicable knowledge (Shah and Oppenheimer, 2008). Nevertheless, a notable risk associated with heuristic thinking is its propensity to overlook relevant information, which may result in biased judgments (Gigerenzer and Gaissmaier, 2011). In contrast, systematic information processing entails a thorough and elaborate approach to carefully examine, analyze, and synthesize information, thereby facilitating more unbiased judgments (Neuwirth et al., 2002). This study examines heuristic thinking with a specific focus on the numerosity heuristic and systematic information processing involving the activation of persuasive knowledge, as two distinct models of consumer information processing in response to green advertising appeals.

Numerosity heuristic and perceived value

‘Numerosity heuristic’ is observed when consumers ignore the reference scale, such as units of measurement, and instead place excessive emphasis on the magnitude of numeric information (Schley et al., 2017). For example, research on consumer perception suggests that a space measuring 4000 square feet (approximately 372 square meters) appears more spacious than one measuring 500 square meters, despite the actual area being smaller. This is due to the numerical value of 4000 being greater than 500, which can create a misleading impression of size (Bagchi and Davis, 2016). Additionally, from an adaptive perspective, there is a strong correlation between numerosity and quantity in natural environments, implying that a higher number of items corresponds to a greater quantity (Pelham et al., 1994). Consequently, consumers are particularly sensitive to the numerosity heuristic and tend to base their judgments on the apparent numerical values while potentially overlooking other significant information (Cadario et al., 2016; Camilleri and Larrick, 2019; Kahneman, 2003; Pandelaere et al., 2011; Park et al., 2022).

Empirical studies in business and marketing have provided substantial evidence supporting the numerosity heuristic. For instance, when presented with the same product, consumers perceive higher unit prices (e.g., $50 per kg) as more expensive and exhibit lower purchase intentions compared to lower unit prices (e.g., $5 per 100 g; Fecher et al., 2019). Similarly, French consumers perceive a smaller price difference between premium and budget brands when products are priced in Euros rather than Francs (1 euro = 6.56 francs; Gaston-Breton, 2006). In the context of risk perception, research has shown that framing risks using larger numbers (e.g., deaths per 10,000 cases) leads to higher perceived risk levels compared to smaller numbers (e.g., deaths per 100 cases), thereby enhancing consumers’ protective motivation and security awareness (Bonner and Newell, 2008). Applying these conclusions to our research context, it is expected that the perceived value of a green product will be higher when its benefits are presented in a numerical format with larger magnitudes, as compared to smaller magnitudes. The following hypothesis is therefore suggested:

H1: Green benefits expressed in the large-number frame, as opposed to the small-number frame, are positively related to perceived value.

Green products provide consumers with dual benefits in terms of environmental protection and personal savings; thus, the perception of environmental value and economic value are identified as two important dimensions of perceived value that significantly influence consumer choice (Ates, 2020; Steinhorst et al., 2015; Webb et al., 2008; Yuan et al., 2022). Prior research suggests that fostering green purchase intention necessitates addressing both perceived environmental value and perceived economic value (Mo et al., 2018; Shi et al., 2022). On one hand, consumers may prioritize the environmental impact of products due to their desire for a more sustainable ecological environment (Jackson, 2005; Lee and Lee, 2024). Additionally, consumers may prefer green products over traditional ones due to the considerations of social responsibility, social norms, or group identity (Choi and Johnson, 2019; Munerah et al., 2021). Therefore, perceived environmental value serves as a significant antecedent to green purchase intention (Li et al., 2021; Teng et al., 2018). Consequently, advertising appeals that emphasize on environmental benefits of green products can also effectively encourage green purchase behaviours (Khan and Mohsin, 2017). On the other hand, green products also involve personal interests, such as cost savings and health benefits (Lee et al., 2023; Yang et al., 2020). Therefore, consumers are more likely to purchase green products when the personal benefits associated with these products are highlighted (Bär et al., 2023; De Groot and Steg, 2008). Consequently, the perceived economic value of green products can also significantly contribute to green purchase behaviour (Joshi et al., 2021; Zhang et al., 2024). In line with these arguments, the following hypothesis is put forward:

H2: Perceived value is positively related to green purchase intention.

Based on the literature on information framing and consumer responses, we propose that perceived value mediates the relationship between the large-number frame and green purchase intention. First, in accordance with the theory of numerosity heuristic, research findings indicate a significant relationship between the rescaling of numerosity information and consumer quantity perception (Basu and Ng, 2020; Cadario et al., 2016). Specifically, a higher numerical representation of product attributes leads to a more pronounced consumer perception (Siddiqui et al., 2018). Consequently, presenting green benefits with a larger numerical frame can enhance the perceived value of the product. Additionally, scholars have established that the perceived value of green products is a powerful predictor of green purchase intention (Bi et al., 2023; Roh et al., 2022; Saini et al., 2024). In alignment with these arguments, we propose that presenting the benefits of green products in a large-number frame (as opposed to the small-number frame) may lead to a higher perceived value of the product, which in turn influences consumers’ purchase decisions. Thus, the following hypothesis is proposed:

H3: Perceived value mediates the relationship between the large-number frame, as opposed to the small-number frame, and green purchase intention.

Persuasive knowledge and consumer skepticism

According to the persuasion knowledge model, consumers have defensive beliefs about marketers’ motives, strategies, and tactics (Aguirre-Rodriguez, 2013; Van Reijmersdal et al., 2015; Liu and Zheng, 2024). When faced with green advertisements, consumers may interpret these advertisements not only as a means for marketers to improve consumers’ product knowledge, but also as a manipulative tactic employed to influence consumer behaviour in accordance with marketing objectives. In this case, where consumers perceive green advertisements as indicative of manipulative intent from the marketers, they tend to attribute less integrity to the marketers and question the credibility of advertising claims, i.e., an inference of manipulative intent (Isaac and Grayson, 2017; Lunardo and Mbengue, 2013). This inference of manipulative intent is more likely to be made when the communication strategies employed towards consumers are perceived as attention-grabbing, complex, or unconventional (Bambauer-Sachse and Grewal, 2011; Campbell, 1995; Romani, 2006).

This paper posits that a large-number frame (as opposed to a small-number one) may enhance the perception of manipulative intention among consumers, thereby increasing their skepticism about green advertisements. First, the strength of advertising statements is a crucial factor to stimulate the inference of manipulative intention (Alenazi, 2015). Accordingly, it is anticipated that green advertisements framed with larger numbers (as opposed to smaller numbers) may increase the perception of manipulative intent by leveraging a greater emphasis on the benefits to attract consumer attention and by amplifying the perceived advantages of green products. Furthermore, the inference of manipulative intention has been demonstrated to erode consumers’ trust and engender skepticism towards the green advertisement (Singh et al., 2020). Second, the advertisements presented with a large-number frame appear more complex and unconventional to consumers (Bambauer-Sachse and Grewal, 2011). Therefore, consumers who expect product advertisements to be simple and straightforward may be reluctant to process benefits articulated with the large-number frame (Bambauer-Sachse and Mangold, 2009; Das et al., 2021). Instead, they might perceive this as a marketing strategy designed by marketers to influence their intentions. As a result, consumers tend to adopt a more skeptical stance toward advertisements presented with a large-number frame. Based on these reasons, the following hypothesis is proposed:

H4: Green benefits expressed in the large-number frame, as opposed to the small-number frame, are positively related to consumer skepticism.

Consumer skepticism towards green advertisements exerts a negative influence on green purchase intention (Cheng et al., 2020; Yu, 2020). First, when consumers harbor doubts about the authenticity of green advertisements, they are likely to form negative perceptions of both the green products and the companies promoting them, thereby reducing their willingness to make purchases (Leonidou and Skarmeas, 2017). Second, a skeptical stance among consumers toward green advertisements can diminish their belief in their own capacity to contribute positively to environmental improvement, which in turn dampens their inclination to buy green products (Albayrak et al., 2011). Therefore, we posit that:

H5: Consumer skepticism is negatively related to green purchase intention.

According to the persuasive knowledge model, when the information strategies employed by marketers to communicate with consumers are attention-attracting, complex, or unconventional, consumers tend to adopt a defensive mindset and have a stronger inference of manipulative intent (Bambauer-Sachse and Grewal, 2011; Shen et al., 2025). Furthermore, this perception of manipulative intent can significantly heighten consumer skepticism, thereby reducing consumer purchase intention (Hibbert et al., 2007). Applying a similar reasoning to the scale frame, the benefits of product attributes expressed in a large-number format may be perceived as more appealing, unusual, and complex than those in a small-number format. Consequently, in response to the large-number frame, consumers might speculate on marketers’ motives for using such a strategy, suspecting it as an attempt to manipulate their behaviours. This suspicion could lead to disbelief in green advertisements and a reduction in purchase intention. Building on these arguments, we propose that:

H6: Consumer skepticism suppresses the positive relationship between the large-number frame, as opposed to the small-number frame, and green purchase intention.

Regulatory fit and the moderation effect of regulatory focus

Regulatory focus theory suggests that the self-regulation process has two distinct regulatory orientations: promotion focus and prevention focus (Fazeli et al., 2020; Higgins, 1997, 1998; Song and Qu, 2019). People with a promotion focus adopt an approach-oriented strategy in pursuing their goals, thereby placing a greater emphasis on aspirations, accomplishments, and advancement needs (Codini et al., 2018). Consequently, they exhibit heightened sensitivity to positive outcomes and a strong eagerness to achieve them (Choi et al., 2019). In contrast, people with a prevention focus employ a vigilance-related strategy to achieve their goals, thus emphasizing duty, commitment, and non-losses. Therefore, they strive to prevent any mismatch from the desired end-state (Chatterjee et al., 2010).

Regulatory focus significantly impacts consumer information processing and decision-making. When the type of information being processed aligns with their regulatory focus (known as regulatory fit), consumers tend to have more favorable evaluations of an object (Gabisch and Milne, 2013). Applying the regulatory fit into our research context, we argue that regulatory focus interacts with the large-number frame to shape consumer perception. Specifically, consumers with a promotion focus are more attuned to positive outcomes (Higgins, 1997), suggesting that the benefits of green products presented by a large-number frame can enhance their perception of product value. In contrast, consumers with a prevention focus exhibit skepticism and sensitivity to marketers’ manipulative intent (Kirmani and Zhu, 2007). Consequently, they are likely to adopt a skeptical stance toward the large-number frame, thereby diminishing the positive impact of such framing on green purchase intentions. Based on this reasoning, we propose the following hypothesis:

H7a: For consumers who are promotion-focused, as opposed to prevention-focused, the relationship between the large-number frame and perceived value is stronger.

H7b: For consumers who are prevention-focused, as opposed to promotion-focused, the relationship between the large-number frame and consumer skepticism is stronger.

The research model is presented in Fig. 1.

Fig. 1
Fig. 1
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Research model.

Methods

Experimental design and pretest

This study adopted a one-factor (usage-based scale frame: large-number versus small-number frame) between-subjects design, with participants being randomly assigned to different conditions. We selected a water-efficient washing machine as the experimental stimulus due to its familiarity to respondents. The number of loads served as an indicator for manipulating the large-number frame or small-number frame in green advertising appeals.

To enhance the effectiveness of experimental manipulation, this study conducted a pretest. In this pretest, we examined the washing frequency of consumers and their perceptions of the reasonable lifespan of washing machines to determine appropriate numerical scales for subsequent experiments. The survey involved 155 participants, comprising 90 females and 65 males. Among them, 44.5% believed that the reasonable lifespan of a washing machine is 4–6 years, while 34.2% considered it to be 7–10 years. Additionally, 58.1% of respondents reported using their washing machines every 2–3 days. Based on these results, the optimal working capacity for a washing machine was estimated to be between 500 and 1500 loads. Consequently, we employed two usage-based scale frames, namely 1000 loads (large-number frame) and 1 load (small-number frame), to investigate the influence of scale frame on green purchase intention.

Data collection

Data for the formal survey were collected from an online platform named ‘wjx’ (https://www.wjx.cn/). A total of 400 consumers were randomly allocated into two distinct groups: the small-number frame group (1 load) and the large-number frame group (1000 loads). Participants in the small-number frame group were informed that this washing machine can save 5 L of water per standard cycle, while those in the large-number frame group were informed that it has the potential to save 5000 L of water over 1000 standard cycles (see Appendix). Following this, all participants were asked to complete a questionnaire designed to assess several key psychological variables, including perceived value, consumer skepticism, regulatory focus, and purchase intention. Last, the demographic information of the participants was collected.

Measurement scale

All variables were assessed using a 7-point Likert scale. Specifically, the measurement items for perceived value were adapted from Zundel and Stieß (2011), while those for consumer skepticism were derived from Do Paço and Reis (2012). Green purchase intention was assessed using items modified from Han et al. (2017). Regulatory focus was measured using four items for promotion focus and three items for prevention focus, both adapted from Lockwood et al. (2002). As suggested by prior studies (Lee et al., 2019; Yao et al., 2024), a regulatory orientation index was computed by first averaging the items associated with promotion focus and prevention focus separately to derive the respective promotion index and prevention index. Subsequently, the promotion index was subtracted from the prevention index to obtain the regulatory focus index. A positive value indicates a salient promotion-focus motive, whereas a negative value suggests a prominent prevention-focus motive.

Furthermore, to mitigate the potential confounding effects on our results, we incorporated environmental concern and math ability as control variables (Filieri et al., 2021; Garvey and Bolton, 2017). Environmental concern was assessed using a four-item scale adapted from Schmuck et al. (2018), while math ability was evaluated through a three-item scale derived from Suri et al. (2013). Additionally, this study accounted for consumers’ demographic characteristics, reasonable product lifespan, and washing frequency, as these factors may influence the analysis outcomes (Casalegno et al., 2022; Yang et al., 2022).

Results

Sample characteristics

Among the 400 samples, 77 participants under the age of 18 were excluded from the study. Additionally, data from 21 questionnaires were discarded due to incomplete or outlier responses. Consequently, 302 questionnaires remained and were considered valid for analysis. As shown in Table 1, these respondents consisted of 149 consumers in the small-number frame group (1 load) and 153 consumers in the large-number frame group (1000 loads).

Table 1 Sample characteristics.

The overall sample consisted of a marginally higher proportion of females compared to males. The majority of participants were within the age range of 18–39 years, which, while somewhat younger than the general domestic population, adequately represents consumers with a strong behavioral tendency towards purchasing green products. Most participants held a bachelor’s degree, indicating a likely high level of comprehension of our instructions. Monthly income primarily ranged from ¥3000 to ¥15,000, aligning with the domestic income distribution in China. Additionally, consistent with our pretest findings, most participants considered the reasonable lifespan of a washing machine to be between 7 and 10 years, and over half reported using their washing machines once every 2–3 days. This confirms that the selected numerical scales (1 load and 1000 loads) are both reasonable and valid.

Reliability and validity analysis

The evaluation of reliability and validity was undertaken to ensure the quality of the data. As shown in Table 2, the Cronbach’s alpha coefficients for all latent variables, with one exception, exceed 0.6, indicating satisfactory internal consistency of the measurement scales. Although the Cronbach’s alpha for prevention focus is marginally lower, it remains within the acceptable range as supported by previous literature (Bonett and Wright, 2015; Punzo et al., 2019). Furthermore, the composite reliability for each latent variable surpasses the recommended threshold of 0.7. These outcomes confirm that the measurement scales possess a high level of reliability.

Table 2 Items and the reliability of latent variables.

The factor loadings for each latent variable exceed 0.5, indicating robust convergent validity of the measurement scales. Furthermore, as presented in Table 3, all latent variables exhibit AVE values greater than 0.5, with their square roots exceeding the correlation coefficients between the constructs and other variables, thereby supporting strong discriminant validity (Fornell and Larcker, 1981). Additionally, the heterotrait–monotrait (HTMT) ratio of correlations was calculated, as it offers a more rigorous assessment of discriminant validity (Henseler et al., 2015). The results indicate that the HTMT ratios for all variables are significantly below the threshold value of 0.85, thereby providing compelling evidence for discriminant validity. Overall, the variables in this study are comprehensively assessed and demonstrate high levels of reliability, consistency, and validity.

Table 3 The matrix of correlation coefficient and HTMT ratio values.

Common method bias

Harmon’s single-factor test was employed to evaluate potential common method bias as suggested by Podsakoff and Organ (1986). The factor analysis conducted on all items utilized in this study identified seven factors accounting for 63.3% of the total variance, with the primary factor contributing 28.1% of the variance. These results indicate that the variance is adequately distributed across multiple factors, thereby suggesting that common method bias is not a significant issue.

Hypothesis tests

Regression and ANOVA analyses were employed to test the proposed hypotheses. Specifically, we utilized the SPSS PROCESS macro (Model 4) to examine the mediating roles of perceived value and consumer skepticism in the relationship between large-number frame (versus small-number frame) and green purchase intention. As shown in Table 4, the large-number frame exerts a significantly positive effect on perceived value (β = 0.252, se = 0.081, t = 3.107, p = 0.002), thereby supporting H1. Additionally, perceived value is a robust predictor of green purchase intention (β = 0.333, se = 0.064, t = 5.227, p = 0.000), thereby confirming H2. Furthermore, regression analysis results indicate that the large-number frame positively influences consumer skepticism (β = 0.214, se = 0.097, t = 2.194, p = 0.029), thereby validating H4. However, consumer skepticism has a significantly negative impact on green purchase intention (β = −0.386, se = 0.053, t = −7.271, p = 0.000), thus supporting H5.

Table 4 The regression results to test H1–H6 (PROCESS Model 4).

The indirect effects of the usage-based scale frame (large-number frame versus small-number frame) on green purchase intention were examined using 5000 bootstrapping samples. As shown in Table 5, the results suggest a significantly positive indirect effect of the large-number frame (compared to the small-number frame) on the green purchase intention through perceived value (β = 0.084, se = 0.032, 95% CI: [0.033, 0.164]), supporting H3. Additionally, there is a significantly negative indirect impact of the large-number frame (as opposed to the small-number frame) on green purchase behaviour via consumer skepticism (β = −0.083, se = 0.037, 95% CI: [−0.155, −0.012]), confirming H6. Due to the dual influences of the large-number frame on green purchase intention, its total indirect effect is non-significant (β = 0.002, se = 0.056, 95% CI: [−0.105, 0.119]). However, given the direct influence of the large-number frame on green purchase intention (β = 0.289, se = 0.086, 95% CI: [0.119, 0.458]), the overall effect of the large-number frame on green purchase intention remains evident.

Table 5 The direct and indirect effects of the scale frame on green purchase intention.

To examine the moderating effect of regulatory focus, we conducted a two-way ANOVA analysis. After excluding four samples where the regulatory focus index was zero, 288 samples remained. As presented in Table 6, research findings revealed a significant interaction effect between the large-number frame and regulatory focus on perceived value (F(1, 286) = 4.045, p = 0.045, partial η2 = 0.014). Furthermore, follow-up contrasts were employed to delve deeper into how regulatory focus moderates the impact of scale framing on consumer perception. As shown in Table 7 and Fig. 2, the results indicate that when consumers have a promotion focus, the large-number frame of information regarding green products leads to a significantly higher perception of product value, compared to a prevention focus (Mlarge = 5.811, SD = 0.61; Msmall = 5.404, SD = 0.778; p < 0.05). Consequently, these findings support Hypothesis 7a.

Fig. 2
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The two-way interaction of scale frame and regulatory focus on perceived value.

Table 6 The ANOVA results to test H7a.
Table 7 Mean and standard deviation of perceived value by promotion focus.

Furthermore, as illustrated in Table 8, the analysis revealed a significant interaction effect between the large-number frame and prevention focus on consumer skepticism (F(1, 286) = 15.706, p = 0.000, partial η2 = 0.054). To further investigate how regulatory focus moderates the impact of scale framing on consumer perception, follow-up contrasts were conducted. As shown in Table 9 and Fig. 3, the results indicate that when consumers are prevention-focused, the large-number frame of information regarding green products leads to significantly higher levels of consumer skepticism (Mlarge = 3.897, SD = 1.053; Msmall = 3.010, SD = 0.811; p < 0.05), compared to those with promotion focus. Consequently, these findings support Hypothesis 7b.

Fig. 3
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The two-way interaction of scale frame and regulatory focus on consumer skepticism.

Table 8 The ANOVA results to test H7b.
Table 9 Mean and standard deviation of consumer skepticism by regulatory focus.

Discussion

The discussion of results

Numerous studies in cognitive psychology and marketing have confirmed that presenting the same numerical information in different ways can influence consumer responses and subsequently behaviours (Chou, 2019; Guha et al., 2018; Pandelaere et al., 2011; Hou and Sarigöllü, 2022). While most of these studies indicate that consumers exhibit a more pronounced response to a large-number frame compared to a small-number one (Fecher et al., 2019; Saayman et al., 2022), few studies have delved into the underlying mechanism, revealing how the large-number frame influences consumer perception and evaluation. To address this gap, this study employs two distinct theoretical frameworks, namely the numerosity heuristic and persuasive knowledge model, to investigate the impact of the large-number frame on green purchase behaviour and to further elucidate the underlying mechanisms through which the large-number frame exerts its influence, as well as the conditions under which it operates.

First, the findings indicate that green benefits framed in large numbers can enhance consumer perception of product value and further stimulate green purchase intention. These results support previous conclusions that a large-number frame can generate a stronger perception of quantity (Hou and Sarigöllü, 2022; Monga and Bagchi, 2012; Yao and Oppewal, 2016). Additionally, this study provides further evidence for past research suggesting that if advertisements successfully guide consumers to perceive desirable value from promoted products, they can stimulate stronger purchase intentions (Lin and Bautista, 2020; Steinhorst et al., 2015).

Second, this study identifies the potential adverse effect of a large-number frame on green purchase intention by incorporating consumer skepticism as a suppressing variable. The results indicate that consumer skepticism plays a significant role in mitigating the otherwise positive influence of large-number frames on green purchase intention. To be specific, the representation of green benefits through large numerical values can activate consumers’ latent persuasive knowledge, leading them to infer marketers’ manipulative intent due to the perceived complexity and unfamiliarity. Consequently, consumers may perceive the product claims framed in large numbers as a marketing strategy aimed at exaggerating product benefits, thereby inducing skepticism and reducing purchase intention. These findings not only align with previous research on the large-number price phenomenon by revealing its potential backfire effect (Bambauer-Sachse and Grewal, 2011) but also provide more profound insights into the underlying mechanisms of the large-number frame on green purchase intention.

Last, this paper provides a novel insight that the effectiveness of the scale frame depends on which set of motives (i.e., promotion-focus or prevention-focus motive) is prominent to the consumer. The large-number frame is generally perceived as more valuable by promotion-focused consumers, who seek to maximize gains. In contrast, prevention-focused consumers tend to be skeptical of green claims presented in a large-number frame, aiming to minimize risks and potential losses. These findings align with previous research on regulatory fit, which indicates that when the type of information aligns with an individual’s regulatory focus, consumers exhibit a stronger response to the information (Lee et al., 2010; Yi and Lee, 2024). Additionally, these results offer new insights into the conditions under which the large-number frame exerts its double-edged effect on green purchase intention.

Theoretical implications

The current study contributes to the existing body of knowledge by offering empirical evidence that the expression of green benefits using a large-number frame, as opposed to a small-number frame, can be a double-edged sword. By employing two distinct theoretical frameworks, this paper has provided a more comprehensive understanding of consumer responses to the large-number frame (compared to the small-number frame) and its subsequent influence on purchase intentions. The research findings indicate that the large-number frame enhances the perceived value of green products, yet simultaneously intensifies the inference of manipulative intent and increases skepticism. Despite these secondary effects, the overall impact of the large-number frame remains positive. These findings not only support the conclusion drawn by prior studies that rescaling the potential benefits of green products promotes a positive attitude (Hou and Sarigöllü, 2022; Wang et al., 2022), but also found its additional negative effect by increasing consumer skepticism. Therefore, these findings expand the literature on scale frame and pro-environmental behaviour, and provide a detailed and deeper insight into the underlying mechanism of usage-scale frame in shaping consumers’ pro-environmental behaviour.

Second, this study contributes to the literature on regulatory fit by investigating the interaction between scale frame and regulatory focus. Previous research has established that the effectiveness of message framing is influenced by consumers’ regulatory goals (Coelho et al., 2022; Luan et al., 2023). However, the relationship between message frame, particularly concerning scale frame, and regulatory focus has not been thoroughly explored. This paper addresses this gap by incorporating regulatory focus as a moderator and by examining the interaction effect between large-number frames and regulatory focus on consumer responses. The results indicate that for promotion-focused consumers, a large-number frame enhances perceptions of product value, thereby amplifying its positive impact. Conversely, for prevention-focused individuals, a large-number frame increases skepticism and discourages environmentally friendly purchase behaviour. Therefore, our findings extend the application of regulatory focus theory to the rescaling of environmental information, thereby contributing to the literature on regulatory fit and the effectiveness of green information.

Practical implications

Research findings provide useful implications for governments and businesses to launch effective communication campaigns by crafting environmental information that matches their target consumers’ motivational state. First, it is suggested that governments and businesses use a moderately large number to illustrate the potential benefits consumers can derive from green products or pro-environmental behaviours. For example, to promote electricity conservation, it would be more effective for the government to highlight the cumulative amount of electricity savings resulting from repeated actions over time (e.g., by 100 times), rather than focusing on the impact of a single instance. This approach maximizes the positive impact of individual contributions and aligns with behavioural expectations for environmental improvement. Similarly, businesses and marketers can emphasize the significant benefits of their eco-friendly products to encourage green purchase behaviours and cultivate a positive corporate image. For instance, Tesla underscores the environmental impact of its green products by stating that their use has collectively enabled owners to avoid emitting over 20 million metric tons of CO2 into the atmosphereFootnote 1. Likewise, other companies with substantial user bases or products offering long-term cumulative benefits can adopt such strategies for their green products, thereby enhancing the perceived value of these products and the effectiveness of green advertising initiatives.

Second, owing to the double-edged nature of large numbers, the effectiveness of simply expanding the scale of pro-environmental benefit expressions may be limited. Therefore, it is crucial for companies to harness the positive impact of perceived value by enhancing green product design and the manufacturing process. For instance, companies are advised to leverage modern technology and eco-friendly materials to make products that are not only efficient but also environmentally friendly, thereby delivering both environmental benefits and economic savings to consumers. Additionally, businesses and marketers could employ detailed and specific statements to articulate the value attributes of the product, thereby enhancing consumer perception of product value and ultimately promoting purchase intention. Furthermore, businesses and marketers could also actively solicit feedback from consumers and stakeholders to continuously improve the environmental performance and potential value of their products.

Furthermore, given the suppressing effect of consumer skepticism on the positive outcomes associated with the large-number frame, it is recommended that businesses and marketers alleviate consumers’ inference of manipulative intent in product advertising. For instance, when utilizing a large-number frame, businesses and marketers should leverage credible information sources or green certifications to reinforce consumers’ confidence in the potential benefits of green products, thereby stimulating demand and motivating green purchasing behaviour. Additionally, businesses and marketers should closely monitor consumer responses to the communicated benefits and equip sales personnel with specialized knowledge and skills to address any questions, doubts, or suspicions regarding green product statements. This approach will mitigate skepticism and instill confidence in consumers that green products yield benefits for both individuals and the environment.

Last, businesses and marketers should tailor their messaging strategies to align with the motivational states of target consumers. For promotion-focused consumers, emphasizing potential benefits using a large-number frame can enhance perceived product value and stimulate purchase behavior. Conversely, for prevention-focused consumers, highlighting potential benefits through a small-number frame is advisable to mitigate skepticism. Furthermore, businesses may consider leveraging the congruence between large-number frames and promotion-oriented messages, as well as small-number frames and prevention-oriented messages, when designing advertising campaigns and communication initiatives.

Limitations and future research

First, the present study treats behavioural intention as a proxy variable for actual behaviour. Future research should consider employing consumers’ actual purchase behaviour to validate these hypotheses and the research model. Second, the present study adopts a self-reported quantitative approach for data collection. However, it is acknowledged that self-reported outcomes may be influenced by several factors, such as question phrasing, format, and survey context. Therefore, it is recommended that future research employ multiple methodologies to collect data, thereby validating the findings of this study. Finally, this study specifically focused on water-efficient washing machines as experimental stimuli due to their longer lifespan, high usage frequency, and substantial savings achieved through advanced technological innovations. Consequently, consumers are more likely to be influenced by the duration and frequency of product use and advertising appeals that highlight these factors. Nevertheless, this effect may be attenuated in scenarios where green products have a short lifespan or the savings in energy or cost between green products and traditional products are negligible. Therefore, it is suggested for future studies to incorporate additional product categories to examine the generalizability of our findings.