Does the Pollyannaish View on Life Hold during Early COVID-19 Quarantine? Modeling the Effects of Positive Emotions, Hope, Optimism and Life Meaning on Life Satisfaction

This study examined 1) the effects of positive emotions, hope, optimism, and life meaning, on life satisfaction during early COVID-19 quarantine; 2) the inter-relationships between hope, optimism, life meaning and positive emotions. Respondents (759 Greek adults from the general population) completed self-report measures of affectivity (SPANE-8), life satisfaction (SWLS), hope (AHS), life meaning (MLQ) and optimism (LOT-R). A Structural Equation Model (SEM) was specified. The measurement model showed good fit, mod-el-based reliability, convergent/discriminant validity and strict measurement invariance across gender. The full SEM model had equally good fit. The effects of Positive Emotions, Presence of Life Meaning, Optimism and Hope Agency on Life Satisfaction were positive and significant, from 0.265 - 0.402 (61.5% explained variance). The effect of Positive Emotions on Hope Agency was not significant. The effects of Optimism and Presence of Life Meaning on Hope Agency were positive, significant and strong (0.484 - 0.764). The effects of Positive Emotions and Presence of Life Meaning on Optimism were positive, significant but weak. The effect of Positive Emotions on Presence of Life Meaning was positive, significant and strong. Some study limitations were the cross-sectional design, non-probability sampling, imbalanced sample regarding gender, single method of data collection. In conclusion, during COVID-19 early quarantine: 1) Positive Emotions, Hope Agency, Optimism and Presence of Life Meaning explained almost 2/3 of Life Satisfaction; 2) Optimism had the strongest positive effect on Hope Agency; 3) Positive Emotions had the second strongest positive effect on Presence of Life Meaning. Findings have implications for efforts to sustain and promote Life Satisfaction during and after COVID-19 context.

verse things (Fredrickson, 2013). This taps the bidimensional definition of hope (Snyder et al., 1991) referring to goal-setting (agency) and plans to achieve goals (pathways). Agency motivates reversion and pathways taps perceived ability to generate attainable goal trajectories (Snyder, 2000).
A meta-analysis on LS (Yarcheski & Mahon, 2014), found hope had the largest mean effect from all variables associated with LS, including optimism. Hope predicted LS in adults from Spain during COVID-19 (Blasco-Belled, Tejada-Gallardo, Torrelles-Nadal, & Alsinet, 2020). Hope, like optimism amplifies resources to overcome challenging situations, increasing LS (Bailey, Eng, Frisch, & Snyder, 2007). Scheier and Carver (1985) define optimism a general expectation of favorable outcomes, mediating between the self and world interpretation (Carver, Scheier, & Segerstrom, 2010). Optimism has a self-regulatory dimension based on goal achievement through the regulation of actions and behaviors, i.e. when in hardship while trying to achieve goals, optimists will probably continue trying, whereas pessimists will probably give up (Carver & Scheier, 1998). Optimism has also an attributional dimension, explaining life events (Peterson & Seligman, 2004).

Life Meaning
People perceive presence of life meaning when they comprehend themselves, the world, and their unique fit in the world, perceiving accomplishment (Steger, 2009a). Steger (2012) argues that this is the cognitive component of meaning (meaning comprehension), facilitating the motivational component of meaning (life purpose) which is also connected with goals like hope and optimism (Snyder, 2000). Search for meaning is another meaning component, negatively related to presence of meaning (Steger, Frazier, Oishi, & Kale, 2006). Steger et al. (2006) reported that presence of meaning is positively associated with LS. Experimental studies showed that those who perceive high presence of meaning have more LS than those who report low presence (Steger, 2009b). Additional studies also supported the association between presence of life meaning and LS (reviewed by Steger, 2012).

The Inter-Relations between Hope, Optimism & Life Meaning and Positive Emotions (Secondary Hypotheses)
Hope and optimism involve goal-based cognitive processes when facing impor-  (Snyder, Sympson, Michael, & Cheavens, 2000). Although both signify relatively stable future expectations, they influence behaviors differently (Bailey et al., 2007). Snyder's (2000) hope model sets individuals the major force in determining desired outcomes, linking pathways and agency with the successful goal attainment, without emphasis on expectations, like optimism (Scheier & Carver, 1985) but on agentic self-efficacy (Edwards, 2009;Gallagher, 2009). Snyder's model also distinguished hope from optimism, as conceptualized by Seligman (2006), in highlighting pursuit of specific goal-related outcomes (Snyder, 2000). Snyder et al. (1991) argue that emotions for a particular goal-related context are connected to hope. Although hope and optimism are closely associated, tapping motivation (Snyder, 2000), hope agency provides unique variance beyond optimism in predicting LS (Bailey et al., 2007;Edwards, 2009). Similarly, a meta-analysis suggested that optimism and hope were distinguishable, but both were associated with psychological well-being (Alarcon, Bowling, & Khazon, 2013). Equally, life meaning was positively related to hope (Steger et al., 2006). Individuals who perceived more life meaning perceived higher levels of hope and this relationship was particularly strong for those who scored highly in agency (Cheavens & Gum, 2000).

The Effects of Positive Emotions and Life Meaning on Optimism
Several studies associated both meaning and positive emotions with optimism (Compton, Smith, Cornish, & Qualls, 1996;Steger & Frazier, 2005). Bronk, Hill, Lapsley, Talib, & Finch (2009) found that youth perceiving higher meaning and purpose were more optimistic. Another study on Koreans elderly found that optimism was positively associated with life meaning, and the relationship between optimism and SWB was partially mediated by life meaning (Ju, Shin, Kim, Hyun, & Park, 2013). Moreover, experimental settings testing the Broaden-and-Build theory (Fredrickson, 2001) argued that positive emotions increase optimism (Fredrickson et al., 2008). Steger et al. (2006) reported that presence of life meaning was positively associated with positive emotions. Similarly, Fredrickson (2005) also proposed that life meaning and positive emotions go hand in hand. Experiments focusing on causal mechanisms of life meaning demonstrate that raising positive emotions is consequential to higher evaluations of life meaning (Steger, 2009b). Positive emotions helped resilient people find meaning amidst adversity (Tugade & Fredrickson, 2004). King et al. (2006) also supported the effect of positive emotions on life meaning in adults from the U.S. in multiple studies. Similarly, positive emotions and meaning were reciprocally associated to one other in a longitudinal study on students from Hong Kong (Kwok & Fang, 2021).

The Present Study
In early COVID-19 outbreak, quarantined individuals limited socializing. Such measures controlled the spread of the virus (Greenstone & Nigam, 2020) but threatened LS (Holmes et al., 2020). The ongoing research about the well-being of the quarantined individuals during the early COVID-19 stages showed somewhat conflicting findings. A longitudinal study that examined changes in subjective wellbeing in early stages of the COVID-19 pandemic in a German sample (Zacher & Rudolph, 2021) showed that on average, life satisfaction, positive affect, and negative affect did not change significantly during these early stages. However, SWB decreased between March and May 2020 (Zacher & Rudolph, 2021). A different longitudinal study on UK adults (O'Connor et al., 2020) showed that the mental health and well-being of the UK adult population appears to have been affected in the early phase of the COVID-19 pandemic. Suicidal ideation increased over time. Crucially, well-being also increased. Female respondents, youngsters, individuals from socially disadvantaged backgrounds and individuals with pre-existing mental health problems had worse mental health outcomes during the pandemic (O'Connor et al., 2020).
Therefore, this study focused on protective factors of LS during early COVID-19 quarantine context: 1) the effects of positive emotions, hope, optimism, life meaning, on the LS; 2) the inter-relationships between hope, optimism, life meaning and positive emotions. Specifically, the aim of the present study was to explore how the relevance of the quarantine condition, is connected to the life satisfaction of the quarantined individuals in relation to their emotions. Furthermore, we explored the outcome of emotions-in particular, the relationship between emotions and presence of life meaning, optimism and hope agency as well as between emotions and life satisfaction. In this way, more informed positive emotions interventions could be designed based on the broaden and build theory of positive emotions (Fredrickson, 2001), and tailored to sustain and increase the depleted well-being of the quarantined individuals (Holmes et al., 2020).
Accordingly, one primary hypothesis (H1) and three secondary hypotheses

Sample Power
A priori power analysis of the SEM model with population RMSEA (MacCallum, Browne, & Sugawara, 1996), indicated the required sample size was N = 212 (<N = 759) for 80% power to reject a wrong model (df = 179), RMSEA misspecification = 0.05, alpha = 0.05. See the a priori power analysis graph in Figure A1 (Appendix).

Adult Trait Hope Scale (AHS)
Adult Hope Scale (Snyder et al., 1991) is a self-report, 12-item measure of hope (e.g. "I can think of many ways to get out of a jam"), with two factors: Agency

Data Diagnostics
A priori power analysis evaluated sample size adequacy of the full SEM model with the population RMSEA method (MacCallum, Browne, & Sugawara, 1996). There was no missing data processing because the online form had all the fields set as "required" to minimize non-response (Kyriazos, 2018a). Outliers were detected separately for each study measure and for the SEM measurement model using Mahalanobis distance criterion. Multivariate nor-mality of all scale scores and of the measurement model was examined with multiple tests.

Analytic Strategy
Initially, a CFA confirmed the factor structure of SPANE-8, MLQ, AHS, LOT-R and SWLS separately, to ensure that their hypothesized structure was tenable in this quarantined Greek sample (essentially a special population). Note also that LOT-R structure was unverified in Greece. Model fit criteria at all instances were RMSEA [90% CI ≤ 0.06] ≤ 0.06, SRMR ≤ 0.08, CFI ≥ 0.95, TLI ≥ 0.95 (Hu & Bentler, 1999). Internal consistency reliability of all measures was at this stage evaluated with Cronbach's alpha [95% CI] and the greatest-lower-bound estimate of reliability (glb; Jackson & Agunwamba, 1977) to account for the absence of the factorial structure in Cronbach's alpha calculation (DeVellis, 2017). It holds that glb ≥ alpha (see Mair, 2018). to cross-validate model-based discriminant validity for the measurement model two additional methods were calculated, namely the Fornell & Larcker (1981) criterion and the Heterotrait-Monotrait (HTMT) ratio of correlation Method (Henseler, Ringle, & Sarstedt, 2015). The Fornell-Lacker (1981) criterion compares the square root of the average variance extracted (AVE) with the correlation of latent constructs (Hair, Hult, Ringle, & Sarstedt, 2014). The HTMT Ratio of Correlation Method involves comparing HTMT to a predefined threshold. A threshold of .85 was used here (Kline, 2011). The HTMT ratio of correlation Method was reported to achieve higher specificity and sensitivity compared to the Fornell-Lacker method (Henseler et al., 2015;Hamid, Sami, & Sidek, 2017). Full measurement invariance of the SEM measurement model was also tested to evaluate if the measurement model has invariant factors, factor loadings, intercepts, and residuals across male and female respondents. Subsequently, the full SEM model fit was examined. Post hoc power analysis evaluated the sample size adequacy of the full SEM model with the population RMSEA method (MacCallum, Browne, & Sugawara, 1996), to estimate the sample required for achieving a power of 80% to reject a wrong model. An al-  Kline, 2016). After confirming that the SEM model was robust, and it showed adequate model-based convergent-discriminant validity, satisfactory model-based reliability and measurement invariance Hypothesis testing followed (H1-H4). Ten direct paths were specified. Table 1 lists the analysis steps, implemented with R software (R Development Core

Preliminary Analysis
There were no missing values because all fields of the online survey were set as required to eliminate non-response (Stalikas & Kyriazos, 2019). Multivariate normality tests (p < 0.001) and data screening for outliers (  , 1996).

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Hypotheses testing (H1-H4) Ten direct paths were specified. Subsequently, a CFA verified the factor structure of each measure (see Table   A2 in the Appendix). A two-factor structure was supported for SPANE-8 (Diener et al., 2010;, MLQ (Steger et al., 2006), AHS (Snyder et al., 1991) and LOT-R (Bailey et al., 2007) and SWLS was unifactorial (Diener et al., 1985). Despite the marginal RMSEA fit for some measures (see Kyriazos, 2018a), adding error covariances or omitting items to improve fit was deemed premature, before evaluating the SEM measurement model.

Descriptive Statistics
All correlation coefficients (p < 0.001), means, medians, standard deviations, and reliability coefficients for the latent variables of the measurement model are shown in Table 2. The latent variables of the measurement model were

Measurement Model
The

Measurement Model Reliability, Convergent and Discriminant Validity
Model-based, internal consistency reliability and convergent validity were adequate (Hair, Black, Babin, & Anderson, 2010), measured by Composite Reliability (CR; Werts et al., 1974) and AVE respectively (AVE; Fornell & Larcker, 1981). Specifically, CR (ω coefficient; McDonald, 1999), ranged from 0.77 (LOT-R O) to 0.89 (MLQ-P) and AVE ranged from 0.54 (LOT-R O) to 0.65 (SPANE-8 P); see Table 3. Measurement model latent variables were sufficiently different, as indicated by Maximum Shared Variance and Average Shared Variance (MSV; ASV; Fornell & Larcker, 1981) in comparison to AVE. Furthermore, by implementing the Fornell & Larcker (1981) criterion the square root of AVE for each latent variable in the measurement model (Table 3 diagonals in bold) was compared to the maximum correlation between all the latent variables (Table 3, below-diagonal highlighted cells), also suggesting that the latent variables were sufficiently different. Finally, discriminant validity was cross-validated with the Heterotrait-Monotrait (HTMT) ratio of correlation adopting the calculation proposed by Henseler et al. (2015). Implementing the HTMT 0.85 threshold (Hamid, Sami, & Sidek, 2017), the latent variables of the measurement model differed adequately (Table 3, above-diagonal highlighted cells). For the Internal consistency reliability (Cronbach's alpha and glb) of all measures in the measurement model, see Table 2.

Measurement Model Invariance
The invariance of the measurement model was evaluated across gender (n MALES = 170, n FEMALES = 589). The difference test thresholds were CFI 0.01  Table 4). ΔCFI and ΔRMSEA consecutively suggested full weak, strong and strict invariance (Models 2-4, Table 4).

Full SEM Model
The full SEM model to study the relationship between positive emotions Post hoc power analysis based on population the RMSEA of the full SEM model (MacCallum et al., 1996) suggested that a sample size of N = 759 was related to a power > 99.99% to reject a wrong model, df = 179, RMSEA = 0.05 on alpha = 0.05 (see Kline, 2016). Figure A1 in the Appendix presents graphs for a priori (see method section) and post hoc power analysis.

Hypotheses Testing (H1-H4)
The  Table 5 (path coefficients and their 95% CI) and in Figure 2 (structural model). The path diagram of the full SEM model along with all the measurement models is presented in the Appendix ( Figure A2).
All path coefficients were estimated both with the constrained and unconstrained error variance (Table 5). Parameter estimates and their standard errors were nearly identical to alternative estimations, suggesting robustness. Nine out of 10 direct standardized path coefficients tested (Table 5)

Discussion
In the early COVID-19 outbreak, quarantined individuals limited socializing. COVID-19 quarantine (primary hypothesis); 2) the positive inter-relationships between hope, optimism, life meaning and positive emotions during the quarantine (secondary hypotheses).

Support of the Hypotheses
The

Interpretation
About the magnitude of the effects on LS, they suggested that increased positive emotions predicted a significant, moderately high increase in LS. An increase in presence of life meaning predicted a significant moderate increase in LS. Increased optimism predicted a low, marginally significant increase in LS. Increased hope agency moderately and significantly increased LS.
About the magnitude of the effects on hope agency, optimism and presence of life meaning, they suggested that increased positive emotions did not predict an increased hope agency. In contrast, increased optimism predicted a significant, very high increased hope agency. Increase in presence of life meaning predicted a significant, moderate to high increase in hope agency. Increase in positive emotions predicted a significant, small increase in optimism. Likewise, increase in presence of life meaning predicted a significant, low to moderate increase in optimism. Finally, positive emotions predicted a significant, high increase in presence of life meaning.

Similarity of Results
The positive relationships of positive emotions, hope, optimism and life meaning with LS were well-documented in literature. The positive effect of hope on LS was well supported before COVID-19 (Hirschi, Abessolo, & Froidevaux, 2015) and during COVID-19 (Blasco-Belled et al., 2020). Pallini et al. (2018) proposed that time-perspective dimensions predicted LS through hope in Italian adolescents. LS in elderly samples was associated with high hope levels in later life (Cheavens & Gum, 2000;Oliver, Tomás, & Montoro-Rodriguez, 2017).
Moreover, the effect of positive emotions on LS was strong, supporting that positive emotions are major components of subjective well-being (Diener et al., 1999). Similarly, optimism was reported to have moderate to high correlations to LS in Western samples (Scheier & Carver, 1992). In a similar vein, the magnitude of optimism and hope on LS was found low to moderate to other studies  (Bailey et al., 2007). Finally, several studies also supported the association between presence of life meaning and LS before COVID-19 (Steger, 2012) and during COVID-19 (Arslan, Yıldırım, Karataş, Kabasakal, & Kılınç, 2020;Yıldırım & Arslan, 2021).
The effects of optimism and life meaning on hope are well documented by a large body of research. Within the COVID-19 context, hope was positively related to life meaning and LS (Trzebiński, Cabański, & Czarnecka, 2020). Beyond COVID-19, individuals who perceived more life meaning perceived higher levels of hope (Cheavens & Gum, 2000;Feldman & Snyder, 1999) and this relationship was particularly strong for those who scored highly in agency (Cheavens & Gum, 2000). Similarly, the particularly strong association of optimism to hope agency (the strongest association of the present study), was supported by a meta-analysis suggesting that optimism and hope were strongly related but distinguishable from each other (Alarcon et al., 2013). In contrast, the insignificant relationship of positive emotions with hope agency despite the significant relationship of positive emotions with LS was also reported by Fredrickson et al. (2008) in an experimental, longitudinal study processed with latent growth models. She argued that maybe hope agency receives a consequential influence by change in positive emotions.
The effects of positive emotions and life meaning on optimism were also widely reported (Steger, 2012). Note however, that Fredrickson et al. (2008) (Steger, 2009b). Moreover, a longitudinal study showed that positive emotions could predispose perceived life meaning, increasing sensitivity to situation-specific life meaning (King et al., 2006). Indeed, increased positive emotions predicted the second largest increase in life meaning in this study.

Generalizability, Limitations, Implications
The statistical validity of the findings and sample size permit a relatively safe generalizability of the results. That is good model fit, highly significant effects, model-based reliability, convergent and discriminant validity.
Interpretation of the findings however should be cautious because of the non-probability sampling, and the cross-sectional design. The cross-sectional design disallows causal inferences. However, such rigid causality assumptions seem over-simplified with SEM (Kline, 2020).
One of the study limitations was the imbalanced sample in terms of gender.
Additionally, some COVID-related demographics were somewhat underrepresented due to the limited and short-lived COVID-19 exposure of the general population during the early COVID-19 quarantine in Greece. Another limita- When the pandemic will be over, depleted LS could be the focus of health professionals (Fiorillo & Gorwood, 2020). Therefore, this was an attempt to examine if well-established LS promoters and sustainers could be effective during and after COVID-19 context. Crucially, during early COVID-19 quarantine context, 1) positive emotions, hope agency, optimism and presence of life meaning explained almost 2/3 of LS; 2) optimism had the highest positive effect on hope agency; 3) positive emotions had the second highest positive effect on life meaning.
The current pandemic altered the mental health agenda (Fiorillo & Gorwood, 2020). Mental health professionals eventually have to address the impact of the pandemic as extreme stressors could induce or aggravate mental health issues (Holmes et al., 2020). Therefore, this is an attempt to model protective factors against COVID-19, potentially offering more tools from the positive psychology realm for the applied COVID-19 research, to build effective interventions that can boost well-being. Hopefully, this study contributes to the literature on affective factors during quarantine, a topic that is currently in the center of psychology research. Findings have implications for efforts to sustain and promote depleted Life Satisfaction during and after COVID-19 distressful context. Findings have implications for efforts to sustain and promote depleted Life Satisfaction during and after COVID-19 distressful context. Future research on LS and cognitive-psychological resources during COVID-19 could study different contexts like workplace, or parenting (for Greece see Kyriazos & Stalikas, 2019a;Kyriazos & Stalikas, 2019b). Alternatively, except SEM other multivariate technique could shed light on the complex relationships of psychological distress and COVID-19 comorbidities (Holmes et al., 2020) like CFA Multitrait-Multimethod Matrices (see Kyriazos, 2018b) or Multilevel Modeling (see Kyriazos, 2019).