Abstract
The UCLA Loneliness Scale (ULS-20) and its short version (ULS-8) are widely used to measure loneliness. However, the question remains whether or not previous studies using the scale to measure loneliness are measuring the construct equally across countries. The present study examined the measurement invariance (MI) of both scales in Germany, Indonesia, and the United States (N = 2350). The one-, two-, and three-factor structure of the ULS-20 did not meet the model fit cut-off criteria in the total sample. The ULS-8 met the model fit cut-off criteria and has configural, but not metric invariance because two items unrelated to social isolation were not MI. The final six items (ULS-6) exclusively related to social isolation had complete MI. Participants from the United States scored highest in the ULS-6, followed by participants from Germany and then Indonesia. We conclude that the ULS-6 is an appropriate measure for cross-cultural studies on loneliness.
Keywords
Loneliness has been increasingly studied in the past few decades. Studies have found loneliness to be an important predictor for physical health (Hawkley & Cacioppo, 2010; Holt-Lunstad et al., 2015), mental health (Gollwitzer et al., 2018; Hawkley & Cacioppo, 2010), and cognitive functioning (Boss et al., 2015). A scale called the University of California, Los Angeles (UCLA) Loneliness Scale (the ULS-20; Russell et al., 1978) and its more recent revisions (Russell, 1996; Russell et al., 1980) has been considered as the cardinal measure of loneliness (Austin, 1983). The ULS-20 consists of 20 statement items with 4-point Likert-type scale that has been used extensively in many countries; for example, United States, Hartshorne (1993), Ireland (Shevlin et al., 2015), Taiwan (Wu & Yao, 2008), Malaysia (Swami, 2009), and Turkey (Yildiz & Duy, 2014). The ULS has been used and validated in adolescents (Shevlin et al., 2015; Wilson et al., 1992), young adults (Hawkley et al., 2005; Russell, 1996), midlife adults (Hawkley et al., 2005), and older adults (Durak & Senol-Durak, 2010). The ULS has not been used in children.
There are several conceptualizations of the ULS-20, including 1-Factor (Russell, 1996), two-factor (Wilson et al., 1992), three-factor (Hawkley et al., 2005), and various short forms of the ULS-20 composed of either three items (ULS-3; Hughes et al., 2004), four items (ULS-4; Russell et al., 1980), or eight items (ULS-8; Hays & DiMatteo, 1987; Roberts et al., 1993). However, no study has compared all of them in one sample. Furthermore, while the ULS-20 has been shown to have good psychometric properties in different countries independently (e.g., United States, Hartshorne, 1993; Ireland, Shevlin et al., 2015; Taiwan, Wu & Yao, 2008; Malaysia, Swami, 2009), we cannot assume cross-cultural validity because so far, no study has investigated measurement invariance (MI; Byrne & Van de Vijver, 2010). Thus, loneliness as measured by the ULS-20 may be understood and expressed differently across countries.
In the literature, the ULS-20 has been used to measure loneliness in different ways. Originally, the ULS-20 was conceptualized to consist of a one-factor structure of loneliness, which has been referred to as Global Loneliness Factor (Russell, 1996). Here, loneliness is defined as a subjective psychological condition that can be felt even in the presence of other people. However, the ULS-20 has also been shown to consist of a two-factor structure (Dodeen, 2015; Knight et al., 1988; Wilson et al., 1992). Wilson et al. (1992) distinguishes between the intensity and frequency of interactions with social units. The first dimension, “Social Other,” represents the individual attachment with social units, while, the second dimension, “Intimate Other,” represents the relational intensity with the social units. Knight et al. (1988) also distinguished between the reverse worded items and positively worded items and labelled those as “Positive” and “Negative.” However, this differentiation may have produced a method effect—in which the structure may be attributable the weakness of reverse worded items rather than to the variance that was intended to be measured, that is, the construct of loneliness (Maul, 2013). A third group of studies found the ULS-20 to consist of a three-factor structure (Durak & Senol-Durak, 2010; Dussault et al., 2009; Hawkley et al., 2005; Kwiatkowska et al., 2017; Shevlin et al., 2015; Zarei et al., 2016), which differentiates between interpersonal and collective attachment with social units as well as their isolatedness with such units. The first dimension, “Isolation,” relates to the disengagement of individuals with the social units, the second dimension, “Relational Connectedness,” represents interpersonal attachment of a person with other individuals and the third dimension, “Collective Connectedness,” relates to a person’s attachment with collective groups.
Aside from the various dimensional structures, shorter versions of the ULS-20 have also been proposed. One of them consists of eight items (ULS-8) and is similar to the “Isolation” dimension proposed by Hawkley et al. (2005). With the exception of two items (“I am an outgoing person” and “People are around me but not with me”)—which have been noted to have a different meaning (Wu & Yao, 2008)—the ULS-8 focuses mostly on the actual condition of isolation rather than on subjective feelings of social disconnectedness (see Table 1). Thus, previous authors have suggested that it reflects perceived social isolation rather than loneliness (Hays & DiMatteo, 1987; Yildiz & Duy, 2014), most items indeed deal primarily with the actual condition of disengagement from social networks The ULS-8 has been shown to have good reliability and validity in Asian contexts (Swami, 2009; Wu & Yao, 2008). Although there are further short versions, such as the ULS-4, Russell et al. (1980) or the ULS-3; Hughes et al. (2004), the ULS-8 has the most convincing psychometric properties and is ideal for a comparison of perceived social isolation with the broader construct of loneliness as presented in the ULS-20, which would allow to examine whether people from various cultural contexts construe both loneliness and the perception of social isolation in a similar manner.
Various Factorial Structures of UCLA Loneliness Scale.
Note. The ULS-6 is a scale made by eliminating two items from the ULS-8 in this study.
As it has become clear from the different factor solutions that loneliness is a complex phenomenon, the meaning of the word loneliness may be conceptually be different in various cultural contexts and different languages. Although all these different versions of the ULS have been used in various cultural contexts, so far we cannot draw any conclusion with regard to its cross-cultural validity. In the English language, the word loneliness is used to describe a negative psychological condition. This is not necessarily the same in other languages. Although mostly used in a negative context, the German word for loneliness (“Einsamkeit,” n.d.) is sometimes used in a positive manner to reflect a state of seeking peace and quietness; to be oriented toward higher goals (de Jong Gierveld, 1998). For example, the German romantic philosophers Goethe used Einsamkeit to describe the desirable condition of withdrawal from superficiality of the society and to hear the voice of the inward attachment (Von Goethe, 1995). The Indonesian word for loneliness is Ke-sepi-an, which is from Sepi meaning quietness and lack of crowd. Therefore, the emphasis is on the objective condition of lack of sounds and/or people rather than on the psychological condition. Because of how the word for loneliness is used differently in the three languages, it is possible that loneliness is not represented as a similar construct across languages.
Loneliness was demonstrated to predict physical and mental health outcomes similarly across Indonesia, Germany, and United States (Beutel et al., 2017; Gerst-Emerson & Jayawardhana, 2015; Peltzer & Pengpid, 2019; Stickley et al., 2014). However, loneliness may manifest differently depending on the individual’s culture. Individuals living in countries who have a higher need for existential security (e.g., countries in poverty or postconflict conditions) such as Indonesia (a low-and-middle-income country) have been shown to prioritize societal obligations, in-group harmony, and intergroup experiences, rather than interpersonal closeness that is central to the concept of loneliness in the literature (Rokach, 1998, Seepersad et al., 2008). On the other hand, individuals living in countries with better existential security such as Germany and the United States have been shown to prioritize interpersonal closeness (Rokach, 1998). Furthermore, the absence of interpersonal relationships has been demonstrated to be closely linked to the concept of loneliness in individualistic societies, while the absence of ties with collective groups (e.g., family) rather than absence of interpersonal relationships are more likely to be associated with loneliness in collectivistic societies (Lykes & Kemmelmeier, 2014).
Loneliness experience may be more prevalent in the societies where modernization occurs. It was argued by Sundström et al. (2009) that in the highly developed countries such as the United States and Germany, individuals are more likely to be isolated from larger communities. They assumed that in such societies, household atomization occurs where there are increasing number of single households, “never married” people, and increase in individualistic lifestyle. In other words, within such societies, the experience of social isolation is intensified as opposed to the societies where modernization is not quite prevalent. There, people are less likely to be isolated from larger communities (e.g., extended family, close-knit communities). Recent research that collected a global data demonstrated that people in individualistic well-developed cultures were more prone to the subjective feelings of isolatedness compared with those in the collectivistic cultures (Barreto et al., 2021).
In order to examine whether a construct is similar across cultural contexts and different languages, we need to compute MI. MI assesses the equivalence of measurement attributes across different conditions, such as different cultures (Steenkamp & Baumgartner, 1998). Specifically, MI refers to a statistical analysis that is employed to examine whether measurement operations yield measures of the same attributes throughout different observed conditions or groups (Horn & McArdle, 1992). There are four levels of MI (Horn & McArdle, 1992): (1) configural invariance, which refers to a condition in which two or more groups construe the ULS-20 items with the respective factor structure similarly; (2) metric invariance, which refers to the question of whether the factor loadings of the ULS-20 are of similar strength across countries; (3) scalar invariance, which refers to a condition, in which individual mean scores for the latent structure of the construct are consistent with the observed variables across all groups. For the ULS-20, this would imply that individuals who have the same mean scores on the latent construct of loneliness would obtain the same score for the observed variable items regardless of country; (4) error variance invariance, which refers to a condition, in which the same level of measurement error is found across all groups. The process of obtaining MI can be considered to be like staircase in which that one step must be passed before moving on to the next step which reflects the more restrictive the criteria for equivalence (Byrne & Van de Vijver, 2010).
In the present study, we tested four versions of the ULS-20 (one-factor ULS-20, two-factor ULS-20, three-factor ULS-20, and the ULS-8) in samples from three countries (Germany, Indonesia, and the United States). After testing for valid factorial structures in the three different countries, we compared whether the valid factorial structures vary across countries using MI analysis. Achieving MI of the scale is important for an unbiased mean comparison between groups, without a scale that is MI mean differences between groups may reflect measurement error differences rather than true group differences. In other words, only when the ULS items have been regarded as invariant we can know whether the difference in loneliness score is due to countries rather than measurement error. Therefore, we conducted a group comparison using mean scores from the original one-factor ULS-20 and the version of ULS that achieve satisfactory MI using analysis of variance (ANOVA). This may reveal whether previously reported differences of mean scores between cultures may be reflective of measurement error differences or loneliness differences.
Method
Participants and Procedure
All participants from Germany, Indonesia, and the United States were recruited using CrowdFlower, internet forums, and social networking websites. Participants recruited from CrowdFlower were rewarded US$ 0.50 for their participation, while participants recruited from internet forums and social networking websites were not given compensation. The participants were asked for their consent before participating in the study and only individuals older than 18 years were allowed to participate. The Ethics Committee at the Universität Hamburg approved the survey. Initially, a total of 2,501 participants completed the questionnaires. However, we excluded 151 participants due to duplicate entries (n = 98), inconsistent answers (n = 7), and responding with same answers 50 times (n = 46). Ultimately, we analyzed 2,350 participants (Mage = 32.53, nfemale = 37.8%). There was a total of 786 participants from Germany, Mage (SD) = 26.59 (8.90), nfemale = 41.8%, 844 participants from Indonesia, Mage (SD) = 29.23 (8.41), nfemale = 78.7%), and 720 participants from the United States, Mage (SD) = 34.35 (12.30), nfemale = 39.8%. On average, the participants were 32.53 years old and 37.8% were women. A total of 6.8% participants were unemployed. Details of the participants’ education and income in each country are provided in Supplementary Material B (available online). The original study included further outcome measures that are reported in previous publications based on this data set (Jaya, 2017; Jaya et al., 2018; Jaya et al., 2020; Jaya & Lincoln, 2016). We report how we determined our sample size, all data exclusions, all manipulations, and all measures in the study.
UCLA Loneliness Scale–20 (ULS-20)
The ULS-20 consists of 20 items, in which each item is rated on a 4-point Likert-type scale (1 = “never,” 2 = “rarely,” 3 = “sometimes,” 4 = “often”). Table 1 shows where the 20 items are assigned into the various versions of the ULS-20. The English version of the ULS-20 was back translated into German and Indonesian for this study. The internal consistencies of the various versions of the ULS-20 in the total sample were good (see Table 1). The mean and standard deviations of the four versions of ULS-20 are shown in Table 2.
Descriptive Statistics of Various Version and Dimensions of the UCLA Loneliness Scale Across Three Countries.
Note. ULS = UCLA Loneliness Scale.
Data Analysis
In order to determine what dimensional structure of loneliness fits the data from all three countries, we conducted a series of confirmatory factor analyses (CFAs). Because the one-factor ULS-20 was the first structure created by its designer (Russell, 1996; Russell et al., 1980), we first conducted a CFA for the one-factor ULS-20. Then, we compared it with other dimensional structures in the literature, that is, the two-factor ULS-20 (Wilson et al., 1992), the three-factor ULS-20 (Hawkley et al., 2005), and the ULS-8 (Hays & DiMatteo, 1987). After discovering the best dimensional structure(s) that fits the data, we conducted a MI analysis to examine whether the dimensional structure was interpreted in a similar manner by participants from the three countries and thus whether the mean scores across countries for this structure can be compared with each other.
First, we conducted the CFA using mean adjusted weighted least square (WLSM) to examine the factorial structures for all four versions of the ULS-20 (one-factor ULS-20, two-factor ULS-20, three-factor ULS-20, and ULS-8) in both the total sample and within each country sample. WLSM performs better when the responses are ordinal (equal or lesser than a 7-point Likert-type scale; Schmitt, 2011) and it is also the better estimator for a sample size of more than 500 (Yu & Muthén, 2002). We refrain from using other estimators (e.g., maximum likelihood, mean-adjusted maximum likelihood, mean and variance-adjusted maximum likelihood) because they may underestimate factor loadings and may not be optimal in estimating the χ2 test of fit when the responses are ordinal (Tarka, 2017). The following fit indices, along with the proposed cut-off criteria, were used to assess model fit: confirmatory fit index (CFI) > 0.95, root mean square error of approximation (RMSEA) < 0.08, and standardized root mean square residual (SRMR) < 0.08 (Marsh et al., 2004; van Overveld et al., 2011). In addition, we used the Tucker–Lewis index (TLI) as another proposed index of model fit. We used the recommended cut-off criteria of TLI > 0.95, as suggested by Hu and Bentler (1999). To establish
Results
Participants’ Characteristics
A detailed description of the demographic characteristics of the participants have been reported elsewhere (e.g., Jaya et al., 2017; Jaya & Lincoln, 2016). Here, we describe them briefly. On average, the participants were 32.53 years old and 37.8% were women. A total of 6.8% participants were unemployed. The participants tend to have higher education. Details of the participants’ education and income in each country are provided in Supplementary Material B (available online). There was a total of 786 participants from Germany, Mage (SD) = 34.19 (12.51), nfemale = 241 or 30.7%, 844 participants from Indonesia, Mage (SD) = 29.55 (8.43), nfemale = 213 or 25.2%, and 720 participants from the United States, Mage (SD) = 34.19 (12.35), nfemale = 434 or 60.3%.
Factorial Structure of the Four Versions of ULS-20 in the Total Sample
Table 3 shows the goodness-of-fit criteria of the four versions of ULS-20 in the total sample. We found that the one-factor ULS-20 did not achieve goodness-of-fit for all indicators. The two-factor ULS-20 had a better fit for all indicators when compared with the one-factor ULS-20. Even so, the two-factor ULS-20 did not achieve a good fit. Moreover, we found that the thee-factor ULS-20 had better fit in all indicators in comparison with both the one-factor ULS-20 and the two-factor ULS-20. Still we found that the three-factor ULS-20 did not meet our proposed fit criteria. The ULS-8 met all of our proposed fit criteria. All factor loadings for four versions of the ULS-20 are illustrated in Table 4 and Supplementary Figures 1, 2, 3, and 4 (available online).
Factorial Structure in the Total Sample (N = 2,350).
Note. df = degree of freedom; SRMR = standardized root mean square residual; CFI = confirmatory fit index; TLI = Tucker–Lewis index; RMSEA = root mean square error of approximation; CI = confidence interval.
Factor Loadings for All Dimensional Structures.
MI Between Sample Groups
On the grounds that only the ULS-8 met all our proposed fit criteria in the total sample, we conducted the MI analysis solely on the ULS-8. As presented in Table 5, we found configural MI for the ULS-8 as it met all of our fit cut-off criteria, χ2(60) = 638.05, SRMR = 0.05, CFI = 0.98, TLI = 0.97, RMSEA [confidence interval: CI] = 0.07 [0.07, 0.08]). We then tested for metric MI for which we did not find evidence, χ2(70) = 1159.26, SRMR = 0.09, CFI = 0.89, TLI = 0.87, RMSEA = 0.14 [0.13, 0.15]. Thus, we consulted the modification indices and found that Item 9 and Item 17 of ULS-20 (Item 3 and Item 7 of the ULS-8) were the reason for non-MI. Items 9 and 17 refer to the individual’s perception of his or her interactional disposition (e.g., being outgoing, being withdrawn), whereas the other six items refer to be the perception of being isolated versus nonisolated. This difference in meaning has also been noted by other researchers (Wu & Yao, 2008). Also, despite their similarity, Item 17 loaded on the isolation factor in the three-factor loneliness (which was similar to what ULS-8 measure, i.e., Social Isolation), whereas Item 9 loaded on Collective Connectedness factor, which also raises questions with regard to the construct they assess. Thus, we decided to delete both items, which resulted in the ULS-6 meeting all of our proposed fit criteria for both configural, MI, χ2(27) = 142.23, SRMR = 0.03, CFI = 0.98, RMSEA [CI] = 0.07 [.04, .05] and metric MI, χ2(70) = 324.59, ΔSRMR = 0.03, ΔCFI ≤ 0.01, ΔRMSEA ≤ 0.01. Having metric MI, we then tested the ULS-6 for scalar MI for which we found evidence, χ2 (82) = 438.19, SRMR = 0.07, CFI = 0.96, TLI = 0.96, RMSEA [CI] = 0.07 [0.07, 0.08]. Finally, we tested for error variance MI, for which we also found evidence, χ2(98) = 561.65, SRMR = 0.08, CFI = 0.96, TLI = 0.96, RMSEA = 0.08 [0.07, 0.08]). Thus, the ULS-6 met all criteria for MI across Germany, Indonesia, and the U.S. samples.
Measurement Invariance of the ULS-6 Between Participants From Indonesia, German, and United States.
Note. ULS-6 = cross-cultural social isolation measure; df = degrees of freedom; SRMR = standardized root mean square residual; CFI = confirmatory fit index; RMSEA = root mean square error of approximation.
Mean Comparison Across Countries
Having found all models of MI to be adequate, we then tested for mean differences of the ULS-6 between the samples from Germany, Indonesia, and the United States. We computed ANOVA and found that there was indeed a difference of mean scores between samples of three countries, F(2, 2347) = 37.57, p < .001. Tukey’s HSD post hoc analysis revealed that the mean scores of the participants from the United States were significantly higher than the mean scores of participants in Germany (p < .001, Cohen’s d = 0.30) and in Indonesia (p < .001, Cohen’s d = 0.42). We also found that the mean scores of participants from Germany were significantly higher compared with participants from Indonesia although this difference was not large (p = .04, Cohen’s d = 0.12). The difference pattern was not similar for when we computed the ANOVA for one-factor ULS-20. In spite of the statistical significance, F(2, 2347) = 30.12, p < .001, Tukey’s HSD analysis revealed that there was no difference between the mean scores of participants from Germany and Indonesia (p = .36, Cohen’s d = 0.08). There were mean scores differences between participants from the United States and Germany (p < .001, Cohen’s d = 0.27), as well as the United States and Indonesia (p < .001, Cohen’s d = 0.35). These results demonstrated that comparing participants across three countries using the scale with unsatisfactory MI (ULS-20) could overestimate the cultural differences compared with the scale which achieved MI (ULS-6). Thus, it is not recommended to conduct mean comparison using the scale without testing for its MI.
Discussion
This study compared the different factor structures of the widely used measure of loneliness, ULS-20, and its MI across three countries from three continents. We found that the ULS-8 had a good fit to the data in comparison with the other versions of ULS-20. We also found ULS-8 had full configural invariance across Germany, Indonesia, and the United States. This means that the construct of loneliness as measured by ULS-8 is understood similarly across the three countries. However, we failed to find evidence of full metric invariance for ULS-8. We found full configural invariance, metric invariance, scalar invariance, and error variance invariance for a modified version of ULS-8 that consists of six items called ULS-6. Thus, here we report a cross-culturally equivalent measure of loneliness based on the six items of ULS (ULS-6) that can be used for cross-culture comparison of loneliness.
Past work suggests that the historical context of a country may affect how people construe loneliness in their minds (Rokach et al., 2001). We argue that psychological essentialization or the belief that individuals possess the essence-like unchangeable properties such as fixed personality is less prevalent in Asian countries such as Indonesia. Thus, the belief that one’s outgoing personality is consistent may not be shared in such context (Tsukamoto et al., 2015) which contributes to dissimilar views about the essentialization of self when compared with the United States or Germany. Thus, the deleted two items in the ULS-8 may lack metric invariance simply because it represents psychological essentialization (e.g., I am outgoing) which may not be common in non-Western contexts.
Also, it is possible that the reason why Item 17 was perceived as not similar across different countries is due to how German culture may sometimes regard withdrawing from the society as positive psychological experiences. Einsamkeit, which is the direct translation of loneliness in German, may be understood as a condition that can lead to the fulfillment of higher goals or withdrawal from the superficiality of the masses. The language being used in the cultural context reflects the cognitive processing for the people within the context (Strickland, 2017). Words and grammatical structures being used in specific cultures have gone through a long evolutionary process and this shaped how people think in their respective society.
Because the ULS-6 was found to be MI across the Indonesian, German, and United States sample, we are able to compare the level of loneliness between these countries based on the ULS-6. We found that the participants from the United States reported the highest level of loneliness and the participants from Indonesia reported the lowest. This is consistent with the notion that loneliness is intensified in the context where modernization occurs (Sundström et al., 2009). Within highly developed, more individualistic countries, such as the United States and Germany, societal modernization brought household atomization, in which individuals are more strongly isolated from larger communities. On the other hand, it may not be as straightforward as inferring that loneliness is generally higher in individualistic cultures because at least one study found that people in a collectivistic culture scored higher in loneliness than those in an individualistic culture (Lykes & Kemmelmeier, 2014). Thus, it might be interesting for future studies to explore whether collectivistic cultures with recently occurring strong modernization (e.g., Japanese, Korean, etc.) are particularly prone to loneliness. This type of research would enable us to answer whether the observed differences in our study are due to individualistic versus collectivistic cultures or well-developed versus underdeveloped nations.
The six-item version of scale was found to be cross-culturally adequate. However, this is not the briefest version of the scale. The briefest version of the scale is ULS-3 consisting of three items that have been shown to measure loneliness adequately for practical telephone and email use where number of items is an issue (Hughes et al., 2004). Although ULS-6 includes all items from ULS-3 (see Hughes et al., 2004, for the list of the items), ULS-3 should be the reference for short-version measure of loneliness and ULS-6 as the cross-culturally adequate measure of loneliness.
In terms of limitations, we must note the possibility that our method of data collection may have overestimated the similarities across countries because we obtained the data from a similar population across the three countries, that is, internet users. In addition, it is important to investigate other cultures in other continents, such as Africa, Australia, and South America. Such investigations will establish a stronger claim of universality or cultural relativism. Moreover, our method of data collection may not enable a firm cultural distinction between the countries because we did not attempt to obtain a representative data across all subcultures within the countries.
Conclusion
To summarize, we found that compared with the various factorial structures of the ULS-20, the ULS-8 stands as a stronger measure across three countries (Indonesia, Germany, and the United States). We found the ULS-8 to have configural invariance, which means that participants across countries experience a similar kind of loneliness. However, the ULS-8 does not appear to have metric invariance, which means that participants across the three countries emphasize different ways in expressing loneliness through the items of the ULS-8. This means that any group differences between countries using the ULS-20 and the ULS-8 may reflect differing psychometric properties, rather than true differences. Since two items of the ULS-8 were assumed to be associated with psychological essentialization as opposed to an objective condition, we then deleted those two items and found the final six items to have MI in all levels. When we compare the mean score of ULS-6 across three countries, we found statistically significant differences between countries. Participants from Indonesia were the least lonely, followed by Germany. Participants from the United States mean score was highest compared with the other two countries. The non-MI ULS-20 erroneously showed no significant differences in loneliness between participants from Germany and Indonesia. Thus, the new ULS-6 is a valid measure for cross-cultural studies on loneliness and can be used in cross-cultural comparison.
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Supplemental material, sj-pdf-6-asm-10.1177_10731911211034564 for How Universal Is a Construct of Loneliness? Measurement Invariance of the UCLA Loneliness Scale in Indonesia, Germany, and the United States by Joevarian Hudiyana, Tania M. Lincoln, Steffi Hartanto, Muhammad A. Shadiqi, Mirra N. Milla, Hamdi Muluk and Edo S. Jaya in Assessment
Footnotes
Acknowledgements
We thank Salima for her support in proofreading the article.
Declaration of Conflicting Interests
The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Funding
The author(s) received no financial support for the research, authorship, and/or publication of this article.
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References
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