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SMU and offline Need-based Experiences Supplementary Material Supplementary Material Table of Content 1. Need-based experiences during social media use and off-line activities 1.1. Background information 1.2. Instructions and items 1.3. Psychometric Information 2. Vitality Items 3. Additional descriptive information 4. Additional analyses high and low social media use 5. Additional analyses on each basic psychological need separately 6. Figures response surface analyses 6.1. Need Satisfaction 6.2. Need frustration 1
SMU and offline Need-based Experiences Supplementary Material 1. Need-based experiences during social media use and off-line activities 1.1. Background information Purpose. The purpose of the adjusted scale is to measure the Basic Psychological Needs (Vansteenkiste et al., 2020, 2023) separately in the domain of social media, and to compare this with need experiences in offline activities. For this purpose, the same set of items is repeated in the two domains separately. To avoid repetitiveness, the items for the offline domain were presented somewhat later in the questionnaire. Construction of the Scale. The present scale is an adjusted version of the 12-item version of the BPNSFS (Chen et al., 2015; Van Der Kaap-Deeder et al., 2021). The wording of the items were simplified or adjusted to (1) ensure validity in the domain of social media, (2) keep the items 'domain-neutral' (i.e., the wording does not lean more towards one domain or the other) so that an equivalent comparison can be made between need experiences in the two domains, (3) to be age-appropriate for adolescents. Specific adjustments for each item: For item 1, "in the things I undertook" was replaced by "in what I did”. This simpler wording fits better with the social media domain. For item 2, 'disappointed in my accomplishments' was replaced with 'disappointed in my skills' because accomplishments in the social media domain might be ambiguous. For item 3, 'cold and distant' was replaced with 'unfriendly' to avoid confusion with physical proximity, which by definition is not part of the social media domain. For item 8 'excluded' was replaced with 'rejected' because excluded in the social media domain can be understood as not being added in a group chat or page while the connotation of excluded in everyday life extends further. For item 6, replace 'my decisions reflect what I really want' with 'did I feel like I could really be myself'. This item is in line with autonomy satisfaction in the scale of Reinecke et al., 2014. This adjustment was deemed necessary because autonomy in the domain of social media seems to be broader than making choices and essentially seems to be about being able to express oneself freely and authentically. For item 9, 'felt compelled to' was replaced with 'experienced pressure to '. This was changed because spending time on social media is, by definition, a freely chosen activity. In contrast, autonomy frustration in the social media domain seems to be more about experiencing 'pressure' (e.g., peer pressure, pressure to post, pressure to be online). For item 11, "with whom I spent time" was replaced by "with whom I interacted," since spending time refers more to physical presence, which by definition is lacking in the social media domain. 2
SMU and offline Need-based Experiences Supplementary Material 1.2. Instructions and items Instructions. In the following items we are interested in what you feel and how you think when you spent time on social media. In the past month, when I used social media… 1 2 3 4 5 Not at all true Completely true 1. I felt a sense of freedom in what I did. 1 2 3 4 5 2. I felt disappointed in what I can. 1 2 3 4 5 3. I felt that people who are important to me were unkind to me. 1 2 3 4 5 4. I did most of the things because I had to. 1 2 3 4 5 5. I felt confident that I could do things well. 1 2 3 4 5 6. I felt that I could be fully myself. 1 2 3 4 5 7. I felt connected with people who I care for. 1 2 3 4 5 8. I felt rejected from the group I want to belong to. 1 2 3 4 5 9. I felt pressure to do things contrary to my liking. 1 2 3 4 5 10. I felt competent in what I was doing. 1 2 3 4 5 11. I had warm feelings towards the people I had contact with 1 2 3 4 5 12. I felt insecure about what I am able to do. 1 2 3 4 5 A few minutes ago we asked you about your thoughts and feeling when you spend time on social media. With the following questions, we would like to know how you feel and what you think when you do NOT use social media. Think about your other activities like school, with your friends or with your family, … We will summarize this with the term being “offline”. In the past month, when I was offline… 1 2 3 4 5 Not at all true Completely true 13. I felt a sense of freedom in what I did. 1 2 3 4 5 14. I felt disappointed in what I can. 1 2 3 4 5 15. I felt that people who are important to me were unkind to me. 1 2 3 4 5 16. I did most of the things I did because I had to. 1 2 3 4 5 3
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SMU and offline Need-based Experiences Supplementary Material 17. I felt confident that I could do things well. 1 2 3 4 5 18. I felt that I could be fully myself. 1 2 3 4 5 19. I felt connected with people who I care for. 1 2 3 4 5 20. I felt rejected from the group I want to belong to. 1 2 3 4 5 21. I felt pressure to do things contrary to my liking. 1 2 3 4 5 22. I felt competent in what I was doing. 1 2 3 4 5 23. I had warm feelings towards the people I had contact with 1 2 3 4 5 24. I felt insecure about what I am able to do. 1 2 3 4 5 Scoring information: SMU autonomy satisfaction: items 1, 6 SMU autonomy frustration: items 4, 9 SMU relatedness satisfaction: items 7, 11 SMU relatedness frustration: items 3, 8 SMU competence satisfaction: items 5, 10 SMU competence frustration: items 2, 12 offline autonomy satisfaction: items 13, 18 offline autonomy frustration: items 16, 21 offline relatedness satisfaction: items 19, 23 offline relatedness frustration: items 15, 20 offline competence satisfaction: items 17, 22 offline competence frustration: items 14, 24 Note: The full-item version was adopted in Sample 2 and 3 of this manuscript. Items in bold were used in Sample 1. 1.3. Psychometric Information 4
SMU and offline Need-based Experiences Supplementary Material 1.3.1. Sample 1 A. Reliability analyses Table S1. Reliability analysis on items measuring offline need-based experiences Offline Need-Based Experiences SMU Need-Based Experiences Item Cronb ach’s Alpha Alpha if item deleted Inter-item correlations Cronb ach’s Alpha Alpha if item deleted Inter-item correlations 1. 2. 3. 1. 2. 3. 1. Autonomy sat .71 .54 - .60 .52 - 2. Relatedness sat .71 .69 .45 - .60 .55 .28 - 3. Competence sat .71 .61 .53 .37 - .60 .44 .38 .36 - 1. 2. 3. 1. 2. 3. 1. Autonomy frus .62 .56 - .61 .48 - 2. Relatedness frus .62 .53 .29 - .61 .53 .37 - 3. Competence frus .62 .45 .37 .40 - .61 .54 .37 .32 - 5
SMU and offline Need-based Experiences Supplementary Material B. Factor Analyses Table S2. Exploratory Factor analysis on items measuring need-based experiences offline and during SMU Offline need-based experiences SMU need-based experiences Rotated Component Matrix Eigenvalues above 1 2 Factors Eigenvalues above 1 Component Component Component 1 1 2 1 2 1. Autonomy satisfaction .78 -.44 .67 .82 2. Relatedness satisfaction .61 .89 .78 3. Competence satisfaction .71 -.40 .61 .87 4. Autonomy frustration -.64 .79 .80 5. Relatedness frustration -.66 .51 -.42 .82 6. Competence frustration -.66 .78 .77 Extraction Method: Principal Component Analysis. Rotation Method: Varimax with Kaiser Normalization. Rotation converged in 3 iterations. C. Conclusions The 2 x 6-item version to measure basic psychological need experiences in both domains resulted in fairly low Cronbach’s Alpha’s. Factor and item analyses yielded no indications for bad items. Therefore, the low reliability scores are likely due to the limited number of items being used. Hence, in sample 2 and 3, a 2 x 12-item version was adopted. The factor structure for the SMU-domain more clearly distinguished between satisfaction and frustration items compared to the offline-domain. Still, confirmatory factor analyses with 2 factors indicated satisfaction-items yielded the highest factor loadings with the factor ‘offline satisfaction’, and that frustration-items yielded the strongest factor loadings with the factor ‘offline frustration’. 6
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SMU and offline Need-based Experiences Supplementary Material 1.3.2. Sample 2 A. Reliability analyses Table S3. Reliability analysis on items measuring offline need-based experiences and SMU experiences. Offline Need-Based Experiences SMU Need-Based Experiences Item α if item dele ted Inter-item correlations α if item dele ted Inter-item correlations α = . 80 1. 2. 3. 4. 5. 6. α = .74 1. 2. 3. 4. 5. 6. 1. Aut sat_1 .79 - .71 - 2. Aut sat_2 .74 .46 - .69 .48 - 3. Rel sat_1 .77 .35 .50 - .71 .23 .33 - 4. Rel sat_2 .77 .36 .56 .56 - .70 .27 .30 .49 - 5. Comp sat_1 .79 .33 .40 .30 .27 - .70 .23 .36 .32 .39 - 6. Comp sat_2 .77 .32 .46 .33 .38 .53 - .72 .30 .32 .20 .29 .35 - α = .79 1. 2. 3. 4. 5. 6. α = .75 1. 2. 3. 4. 5. 6. 1. Aut frus_1 .78 - .73 - 2. Aut frus_2 .76 .54 - .69 .54 - 3. Rel frus_1 .75 .30 .42 - .71 .24 .33 - 4. Rel frus_2 .76 .27 .36 .57 - .71 .22 .36 .51 - 5. Comp frus_1 .76 .34 .35 .42 .40 - .72 .19 .30 .24 .28 - 6. Comp frus_2 .77 .28 .31 .42 .40 .55 - .70 .26 .33 .32 .31 .54 - 7
SMU and offline Need-based Experiences Supplementary Material B. Factor Analyses Table S4. Exploratory Factor analysis on items measuring need-based experiences offline and during SMU Offline Need-Based Experiences SMU Need-Based Experiences Rotated Component Matrix Eigenvalues above 1 2 factors (fixed) Eigenvalues above 1 2 factors (fixed) Component Compone nt Component 1 2 3 1 2 1 2 3 1 2 1. Aut sat_1 .58 .58 .62 .49 2. Aut sat_2 .69 .74 .68 -.40 .62 3. Rel sat_1 .81 .61 .36 .6 7 ,65 4. Rel sat_2 .82 .62 .40 .6 6 .69 5. Comp sat_1 .80 .79 .65 .73 6. Comp sat_2 .42 .59 .74 .69 .61 7. Aut frus_1 .7 3 .67 .75 .70 8. Aut frus_2 .8 2 .78 .78 .77 9. Rel frus_1 .6 7 .6 8 .52 -.5 9 .63 10. Rel frus_2 .5 5 .6 1 .48 -.6 7 .62 11. Comp frus_1 .4 4 -.68 .69 -.44 .50 .54 12. Comp frus_2 .3 7 -.72 -.36 .59 -.48 .54 .60 -.38 8
SMU and offline Need-based Experiences Supplementary Material Extraction Method: Principal Component Analysis. Rotation Method: Varimax with Kaiser Normalization. Rotation converged in 15 iterations. 1.3.3. Sample 3 A. Reliability analyses Table S5. Reliability analysis on items measuring offline need-based experiences Offline Need-Based Experiences SMU Need-Based Experiences Item α if item dele ted Inter-item correlations α if item dele ted Inter-item correlations α = . 86 1. 2. 3. 4. 5. 6. α = .86 1. 2. 3. 4. 5. 6. 1. Aut sat_1 .85 - .82 - 2. Aut sat_2 .83 .51 - .79 .43 - 3. Rel sat_1 .83 .43 .56 - .80 .35 .47 - 4. Rel sat_2 .83 .45 .53 .71 - .80 .36 .42 .65 - 5. Comp sat_1 .83 .45 .53 .45 .43 - .80 .41 .46 .38 .37 - 6. Comp sat_2 .84 .43 .50 .44 .44 .69 - .79 .40 .49 .46 .44 .62 - 9
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SMU and offline Need-based Experiences Supplementary Material α = .84 1. 2. 3. 4. 5. 6. α = .84 1. 2. 3. 4. 5. 6. 1. Aut frus_1 .81 - .78 - 2. Aut frus_2 .81 .61 - .79 .52 - 3. Rel frus_1 .83 .43 .40 - .80 .43 .35 - 4. Rel frus_2 .83 .37 .44 .54 - .81 .45 .45 .62 - 5. Comp frus_1 .81 .54 .45 .38 .38 - .79 .49 .41 .33 .36 - 6. Comp frus_2 .81 .51 .48 .37 .42 .68 - .79 .43 .53 .37 .44 .49 - B. Factor Analyses Table S6. Exploratory Factor analysis on items measuring offline need-based experiences (based on Eigenvalues above 1) Offline Need-Based Experiences SMU Need-Based Experiences Rotated Component Matrix Eigenvalues above 1 2 factors (fixed) Eigenvalues above 1 Component Component Component 1 2 3 1 2 1 2 1. Aut sat_1 .65 .66 .64 2. Aut sat_2 .73 .75 .73 3. Rel sat_1 .79 .80 .76 4. Rel sat_2 .78 -.37 .79 .73 5. Comp sat_1 .71 -.4 8 .72 .74 6. Comp sat_2 .71 -.4 4 .72 .79 7. Aut frus_1 .6 3 .46 .78 .76 10
SMU and offline Need-based Experiences Supplementary Material 8. Aut frus_2 .5 3 .54 .74 .75 9. Rel frus_1 .76 .63 .70 10. Rel frus_2 .74 .63 .74 11. Comp frus_1 .8 0 .76 .67 12. Comp frus_2 .8 0 .77 .74 Extraction Method: Principal Component Analysis. Rotation Method: Varimax with Kaiser Normalization. Rotation converged in 15 iterations. 2. Vitality Items As mentioned in the manuscript, the items tapping into vitality slightly differed in each sample. Below the English version of those items can be found. Sample 1 Sample 2 Sample 3 At the moment I feel alive and dynamic Lately I have been feeling alive At the moment I feel alive These days I am bursting with life and energy I feel so alive I might even be bursting with energy Op dit ogenblik heb ik veel positieve energie en zin voor initiatief I feel powerful right now Over the last few weeks, I have had a lot of energy and creativity I feel powerful and vital right now 11
SMU and offline Need-based Experiences Supplementary Material 3. Additional descriptive information Table S7 Means, Standard Deviation and Observed Range for Need Composite and Need Specific Scores across Samples Sample 1 2 3 Mean SD Range Mean SD Range Mean SD Range Offline satisfaction 3.84 .75 1-5 3.86 .57 1.5-5 3.57 .75 1-5 Autonomy 3.68 1.01 1-5 3.83 .76 1.5-5 3.61 .86 1-5 Competence 3.81 .89 1-5 3.66 .67 1.5-5 3.26 .90 1-5 12
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SMU and offline Need-based Experiences Supplementary Material Relatedness 4.04 .89 1-5 4.20 .66 1.5-5 3.83 .87 1-5 SMU satisfaction 3.57 .77 1-5 3.80 .56 2-5 3.05 .80 1-5 Autonomy 3.73 1.05 1-5 3.81 .81 1.5-5 3.18 .93 1-5 Competence 3.63 .946 1-5 3.63 .66 2-5 2.82 .93 1-5 Relatedness 3.44 1.09 1-5 3.97 .70 2-5 3.16 1.00 1-5 Offline frustration 2.33 .87 1-5 2.34 .66 1-5 2.32 .82 1-5 Autonomy 2.30 1.12 1-5 2.77 .87 1-5 2.36 1.03 1-5 Competence 2.67 1.26 1-5 2.34 .81 1-5 2.64 1.02 1-5 Relatedness 2.01 1.08 1-5 1.91 .80 1-5 1.96 .89 1-5 SMU f rustration 1.99 .77 1-4.33 2.13 .68 1-5 2.04 .77 1-5 Autonomy 1.70 .93 1-5 2.27 .93 1-5 1.83 .87 1-5 Competence 2.45 1.17 1-5 2.18 .88 1-5 2.48 1.03 1-5 Relatedness 1.83 .96 1-5 1.94 .89 1-5 1.83 .85 1-5 In Sample 1, the mean difference between SMU and offline of -0.27 for need satisfaction ( F (1,370) = 13740.87, p < .001, η 2 = .068) and -0.34 for need frustration ( F (1,370) = 3457.37, p < .001, η 2 = .160) were both statistically significant. In Sample 2, the mean difference in SMU and offline was significant for need frustration (-.21, F (1,178) = -11332.46, p < 0.001, η 2 = .010), and for need satisfaction (-.06, t (1,178) = 19.95, p < 0.001, η 2 = .101). In Sample 3, the mean differences in SMU and offline were significant for both need satisfaction (.47, F (1,4776) = 138177.72, p < .001, η 2 = .240) and need frustration (.28, F (1,4708) = 709.51, p < .001, η 2 = .087). Table S8 Occurrence of Domain-(In)congruence in Need Satisfaction and Frustration Across Samples Need Satisfaction Need Frustration Sample 1: offline < SMU: 17.25% offline < SMU: 10.51% offline = SMU: 47.98% offline = SMU: 53.10% offline > SMU: 34.77% offline > SMU: 36.39% Sample 2: 13
SMU and offline Need-based Experiences Supplementary Material offline < SMU: 26.40% offline < SMU: 19.32% offline = SMU: 42.70% offline = SMU: 32.39% offline > SMU: 30.90% offline > SMU: 48.30% Sample 3: offline < SMU: 10.03% offline < SMU: 12.94% offline = SMU: 39.95% offline = SMU: 49.77% offline > SMU: 50.01% offline > SMU: 37.29% Note. Incongruence was determined by scores in the SMU domain being half a standard deviation above or below the offline domain, with scores falling within this range considered as non-discrepant or equal (see also Shanock et al., 2010) 4. Additional analyses high and low social media use All samples were divided into two subsamples, high social media users and low social media users. High users were those who used over 5 hours per day ( n 1 = 224, n 2 = 93, n 3 = 2845) low users were those using less than 5 hours a day ( n 1 = 174, n 2 = 86, n 3 = 2097. Polynomial 14
SMU and offline Need-based Experiences Supplementary Material regression analyses were performed on those subsamples separately to see whether similar patterns would occur. Results are presented in Table S9 (need satisfaction) and Table S10 (need frustration). Scores for the group of high users are in bold and italic. Overall, the patterns of analyses were similar as of those in the main analyses. As for need satisfaction, some evidence was found in two cases that incongruency effects where especially the offline domain is predictive of the mental health outcome were somewhat less pronounced in the high users group (e.g., Sample 1, life satisfaction). In one case, namely the effect on sleep quality in sample 2, the a3 effect showed that the SMU domain was more important in predicting adolescents’ sleep quality. In 3 cases, the incongruency effect as such (a4) was significant for the low users group, but not for the high users group. As for need frustration, results were somewhat more mixed. Conclusion : Both among high and average users of social media, the joint effects (a1) point in the same direction, with need satisfaction in both domain having the most favorable effects, while need frustration in both domains results in the least favorable effects in terms of adolescents mental health. On top of that, some variation can be observed in the incongruity (a3, a4) effects. 15
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SMU and offline Need-based Experiences Supplementary Material Table S9 Results of Polynomial Regression Analysis with Response Surface Analyses Predicting Mental Health Outcomes based on Need Satisfaction in SMU and Offline Activities – high social media users separated from low users Vitality Life Satisfaction Sample 1 2 3 1 2 3 Polynomial regression coefficients b1 offline .55*** .50*** .24*** .32** .49*** .55*** .42*** .48*** .18* .32** .55*** .61*** b2 SMU .24** .16 .17* .20 .07** -.02 .22** .10 .12 .10 .07** -.05 b3 offline 2 .05 -.02 -.17*** .08 .05** .07*** .04 -.14* -.10*** .09 .02 .05* b4 offline x SMU .12 -.02 -.04 .08 .06** .09*** .04 .07 .05 .04 .07** .09*** b5 SMU 2 -.12* .05 .06 -.16** -.01 -.04* .01 .10* .03 -.19*** -.01 -.04* Response surface parameters a1 slope LOC .79*** .66*** .41*** .52*** .57*** .53*** .64*** .58*** .30*** .42*** .62*** .56*** a2 curve LOC .06 .00 -.16** -.01 .10*** -.12*** .08 .02 -.02 -.05 .07*** .11*** a3 slope LOIC .32* .34* .07 .12 .42*** .56*** .21 .38* .06 .21 .47*** .66*** a4 curve LOIC -.19 .05 -.07 -.17 -.02 -.11 .01 -.11 -.11 -.14 -.06 -.08 16
SMU and offline Need-based Experiences Supplementary Material Sleep Quality Anxiety Depression Sample 1 2 3 1 2 1 2 Polynomial regression coefficients b1 offline .10 .18* -.13 .18* .17*** .19*** -.26*** -.31*** -.04 -.12 -.28*** -.31*** -.08 -.21* b2 SMU .21* .09 .20* .18* .02 -.02 -.17** -.05 -.12 -.23** -.17** -.02 -.09 .02 b3 offline 2 -.03 -.11 -.08** .05 .00 .02 .01 .06 .06*** .00 .01 .06 .04 .06 b4 offline x SMU -.03 .18* .02 -.17** .03 .05** -.04 -.03 -.06 -.03 -.05 -.05 -.00 -.17 b5 SMU 2 .04 -.08 .05 .11** -.02 -.02* -.00 -.06 -.02 .10* .01 -.01 -.04 .19*** Response surface parameters a1 slope LOC .31*** .27** .07 .35*** .18*** .17*** -.44*** -.36*** -.16** -.34*** -.44*** -.34*** -.17** -.20** a2 curve LOC -.02 -.02 -.01 -.01 .01 .05** -.03 -.03 -.01 .07** -.03 .01 -.00 .08 a3 slope LOIC -.11 .09 -.33* .00 .15*** .20*** -.09 -.26** .08 .11 -.11 -.29** .02 -.23 a4 curve LOIC .04 -.37* -.05 -.32** -.01 -.05* .04 .12 .11* .13 .07 .11 .00 .42* 17
SMU and offline Need-based Experiences Supplementary Material Table S10 Results of Polynomial Regression Analysis with Response Surface Analyses Predicting Mental Health Outcomes based on Need Frustration in SMU and Offline Activities – high social media users separated from low users Vitality Life Satisfaction Sample 1 2 3 1 2 3 Polynomial regression coefficients b1 offline -.40*** -.29** -.21 -.33* -.37*** -.43*** -.24* -.30** -.36*** -.35*** -.48*** -.41*** b2 SMU -.18 .07 -.10 -.06 -.05 .01 -.34*** -.04 .05 -.06 -.01 -.06 b3 offline 2 -.03 -.06 -.11 -.01 -.02 -.05* -.01 -.00 -.08 .02 -.30*** -.10*** b4 offline x SMU .20 .20* .15 .18 .09** .06* .04 .08 .14 .01 -.19** .09** b5 SMU 2 .05 .04 -.01 -.05 -.05* -.04 .14 .02 .04 .06 .01* -.05 18
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SMU and offline Need-based Experiences Supplementary Material Response surface parameters a1 slope LOC -.58*** -.36*** -.30*** -.39** -.42*** -.42*** -.58*** -.34*** -.30*** -.41*** -.48*** -.47*** a2 curve LOC .22** .18* .03 .12 .03 .03 .18* .10 .09 -.09 -.01 .06** a3 slope LOIC -.22 -.21 -.11 -.26 -.32*** -.45*** .10 -.26 -.41** -.29*** -.30*** .36*** a4 curve LOIC -.18 -.22 -.27 -.24 -.16** .15** .10 -.06 .17 -.06 -.18*** .23*** Sleep Quality Anxiety Depression Sample 1 2 3 1 2 1 2 Polynomial regression coefficients b1 offline -.03 .05 -.09 -.29** -.10*** .19*** .22*** .20*** -.13 .16* .28*** .10 .22*** .21* b2 SMU -.13 -.26** -.04 .01 -.07** -.00 .12 .06 -.14* .17* .15** .16* .07 .03 b3 offline 2 -.10 -.16** .01 -.02 -.04* -.01 .11 .03 .09 .05 .03 .10** .05** .11* 19
SMU and offline Need-based Experiences Supplementary Material b4 offline x SMU .06 .30*** .04 .00 .02 .02 .07 .04 -.16 -.04 -.09 -.20** .01 -.05 b5 SMU 2 -.03 -.17* .07 .01 .01 -.03 -.17* -.07 .03 -.05 .07 .07 .01 -.03 Response surface parameters a1 slope LOC -.22** -.21* -.13 -.28** -.16*** -.19*** .34*** .26*** -.27*** .33*** .43*** .27*** .29*** .24*** a2 curve LOC .06 -.02 .07 -.01 -.00 -.02 -.06 -.05 .05 -.05 .01 -.03 .07* .03 a3 slope LOIC -.03 .31 -.04 -.31* -.03 -.19*** .10 .14 -.01 -.01 .12 -.06 .15 .18 a4 curve LOIC .12 -.63*** -.02 -.02 -.05 -.08* .28* .12 .27 .04 .19 .37** .04 .13 20
SMU and offline Need-based Experiences Supplementary Material 5. Additional analyses on each basic psychological need separately Although an aggregated score is used in the main analyses of our paper, assessing the needs separately might provide a more nuanced understanding of the results. Therefore, the results of polynomial regressions with response surface analyses on autonomy, competence and relatedness in both domains are depicted in Table S11-16. Conclusion : Note that little systematic differences could be found throughout the three samples, except that the supplementary effects were less systematic in case of the need for relatedness, compared to autonomy and competence. This might suggest that relatedness is more comparably throughout both domains. 21
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SMU and offline Need-based Experiences Supplementary Material Table S11.   Sample 1: Results of Polynomial Regression Analysis with Response Surface Analyses Predicting Mental Health Outcomes based on autonomy-, relatedness-, and competence need satisfaction. Vitality Life Satisfaction Sleep Quality Depression Anxiety Sample  Aut Rel Com Aut Rel Com Aut Rel Com Aut Rel Com Aut Rel Com Polynomial regression coefficients b 1 offline .52*** .35*** .46*** .43*** .27*** .34*** .07 .10 .12* -.24*** -.22*** -.24*** -.34*** -.26*** -.29*** b 2 SMU .04 .21** .14 .06 .07 .12 .13* .09 .08 -.03 -.07 -.10* -.03 -.04 -.09 b 3 offline 2 .05 .01 .05 .01 .05 -.04 -.07 -.02 -.02 .03 .00 .01 -.03 .04 .01 b 4 offline x SMU .03 .02 .10 -.01 .09 .09 .05 .01 .02 -.03 -.04 -.07 .01 -.02 -.06 b 5 SMU 2 -.09 .01 -.03 -.06 -.02 .03 .03 -.01 -.04 .05 .00 -.07 .02 -.00 -.02 Response surface parameters a 1 slope LOC  .56*** .57*** .59*** .48*** .34*** .46*** .20** .18** .20*** -.27*** -.28*** -.33*** -.37*** -.30*** -.38*** a 2 curve LOC  -.01 .05 .13* -.07 .12 .09* .01 -.02 -.05 .04 -.03 -.02 -.00 .02 -.07 a 3 slope LOIC  .48*** .14 .32** .37*** .20 .23 -.05 .01 .04 -.21** -.15* -.14 -.31*** -.22** -.20* a 4 curve LOIC  -.07 .01 -.07 .07 -.06 -.09 -.10 -.04 -.08 .11* .04 .10 -.03 .05 .05 R 2 .23*** .14*** .22*** .21*** .07*** .18*** .06*** .03* .07*** .18*** .11*** .22*** .21*** .12*** .22*** Note. * p<.05, ** p<.01, ***p<.001 22
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SMU and offline Need-based Experiences Supplementary Material Table S12.   Sample 1: Results of Polynomial Regression Analysis with Response Surface Analyses Predicting Mental Health Outcomes based on autonomy-, relatedness-, and competence need frustration. Vitality Life Satisfaction Sleep Quality Depression Anxiety Sample  Aut Rel Com Aut Rel Com Aut Rel Com Aut Rel Com Aut Rel Com Polynomial regression coefficients b 1 offline -.34*** -.36*** -.36*** -.20** -.28*** -.28*** -.02 -.10 -.10 .15** .19*** .19*** .18** .15** .15** b 2 SMU -.15 -.07 -.07 -.23** -.18* -.18* -.10 .00 .00 .15** .13** .13** .11* .13* .13* b 3 offline 2 .03 .08 .08 -.02 .07 .07 -.04 .01 .01 .03 .00 .00 .02 .04 .04 b 4 offline x SMU .15** .14* .14* .15** .11 .11 .14** .06 .06 -.07 -.15** -.15** -.10* -.08 -.08 b 5 SMU 2 -.04 .03 .03 .04 .03 .03 -.06 -.10 -.10 .02 .04 .04 .05 -.05 -.05 Response surface parameters a 1 slope LOC -.49*** -.43*** -.43*** -.44*** -.45*** -.45*** -.12 -.10 -.10 .29*** .32*** .32*** .29*** .28*** .28*** a 2 curve LOC .15 .24*** .24*** .17** .21*** .21*** .03 -.03 -.03 -.02 -.10** -.10** -.04 -.09* -.09* a 3 slope LOIC -.19 -.28 -.28 .03 -.10 -.10 .07 -.10 -.10 .00 .06 .06 .07 .03 .03 a 4 curve LOIC -.16 -.03 -.03 -.13 -.01 -.01 -.25** -.14 -.14 .12 .19* .19* .16* .06 .06 R 2 .16*** .10*** .11*** .14*** .12*** .12*** .06*** .03 .03 .17*** .20*** .20*** .16*** .08 .13*** Note. * p<.05, ** p<.01, ***p<.001 23
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SMU and offline Need-based Experiences Supplementary Material Table S13. Sample 2: Results of Polynomial Regression Analysis with Response Surface Analyses Predicting Mental Health Outcomes based on autonomy-, relatedness-, and competence need satisfaction. Vitality Life Satisfaction Sleep Quality Depression Anxiety Sample  Aut Rel Com Aut Rel Com Aut Rel Com Aut Rel Com Aut Rel Com Polynomial regression coefficients b 1 offline .25** .21** .25*** .24*** .16* .19*** .07 .03 .00 -.08 -.03 -.13** -.04 -.04 -.15*** b 2 SMU .19** .10 .04 .10 .03 .07 .09 .09 .10 -.10* -.03 .00 -.20** * -.06 -.01 b 3 offline 2 -.03 -.03 -.04 -.05 -.10* -.05 -.05 -.01 -.04 .04 .06 .10*** .08** .06 .05 b 4 offline x SMU .04 .06 -.03 .05 .11 .04 .02 -.05 .06 -.09* -.06 -.08 -.06 -.06 -.05 b 5 SMU 2 .00 -.08* -.01 -.04 -.09 .00 -.02 .00 -.02 .04 .08* .01 .01 .07 .02 Response surface parameters a 1 slope LOC  .44** * .30*** .29*** .34*** .19* .27*** .16** .12 .10 -.17** * -.07 -.13** -.24** * -.10 -.16*** a 2 curve LOC  .02 -.05 -.08 -.03 -.08 -.10 -.05 -.06 -.00 -.01 .08 .03 .04 .07 .03 a 3 slope LOIC  .06 .11 .22 .14 .14 .12 -.02 -.06 -.10 .02 .00 -.13 .16* .03 -.14 a 4 curve LOIC  -.06 -.16 -.02 -.13 -.30* -.08 -.10 .03 -.12 .16* .19 .19* .15* .18* .12 R 2 .24** * .19*** .16*** .22*** .16** * .12*** .10** .05 .05 .14*** .12*** .14*** .24*** .12*** .11*** 24
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SMU and offline Need-based Experiences Supplementary Material Note. * p<.05, ** p<.01, ***p<.001 Table S14. Sample 2: Results of Polynomial Regression Analysis with Response Surface Analyses Predicting Mental Health Outcomes based on autonomy-, relatedness-, and competence need frustration. Vitality Life Satisfaction Sleep Quality Depression Anxiety Sample  Aut Rel Com Aut Rel Com Aut Rel Com Aut Rel Com Aut Rel Com Polynomial regression coefficients b 1 offline -.09 -.04 -.28*** -.15 -.19** -.36*** -.08 -.20** -.03 .04 .08 .24*** .03 .07 .19*** b 2 SMU -.11 -.24*** -.07 -.06 -.20** .03 -.06 .02 -.09 .12 .16*** .01 .15** .22*** .12** b 3 offline 2 -.07 -.04 .02 .02 .02 .03 -.09 -.01 -.04 .11* .07** .06* .06 .03 -.01 b 4 offline x SMU .23** .09 -.01 .18** -.01 -.09 .05 -.02 .12* .11** .04 .03 -.17** -.02 .03 b 5 SMU 2 -.11* .04 -.01 -.06 .10*** .06 .01 .03 -.05 -.20** -.07*** .02 .02 -.09 -.02 Response surface parameters a 1 slope LOC -.20* -.28*** -.35*** -.21** -.40*** -.33*** -.15* -.18** -.12 .16*** .24*** .25*** .18*** .29*** .30*** a 2 curve LOC .05 .09 .00 .14** .10* .01 -.03 .00 .04 -.05 .04 .11*** -.08 -.08 -.00 a 3 slope LOIC .02 .20 -.22 -.09 .01 -.40*** -.02 -.22 .06 -.07 -.08 .23** -.12 -.14 .07 a 4 curve LOIC -.41** -.09 .02 -.22 .13* .18 -.14 .03 -.21 .36*** -.04 .04 .26** -.03 -.06 R 2 .14*** .11*** .16*** .13*** .16*** .18*** .11*** .10** .06 .24*** .23*** .36*** .17*** .18*** .23*** Note. * p<.05, ** p<.01, ***p<.001 25
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SMU and offline Need-based Experiences Supplementary Material Table S15. Sample 3: Results of Polynomial Regression Analysis with Response Surface Analyses Predicting Mental Health Outcomes based on autonomy-, relatedness-, and competence need satisfaction. Vitality Life Satisfaction Sleep Quality Sample  Aut Rel Com Aut Rel Com Aut Rel Com Polynomial regression coefficients b 1 offline .41*** .36*** .40*** -.44*** .41*** .44*** .14*** .11*** .14*** b 2 SMU .06*** .08*** .08*** .07*** .10*** .04* .02 .01 .01 b 3 offline 2 .03* .07*** .06*** .02 .05*** .03* -.01 -.01 .02 b 4 offline x SMU .05*** .03 .03*** .03 .04* .04* .03* .03 .03** b 5 SMU 2 -.01 -.01 .01 -.01 .01 -.01 -.01 -.01 -.01 Response surface parameters a 1 slope LOC .47*** .44*** .47*** .52*** .51*** .48*** .17*** .12*** .15*** a 2 curve LOC .07*** .09*** .08*** .04 .10*** .07*** .01 .01 .03** a 3 slope LOIC .34*** .28*** .32*** .37*** .30*** .39*** .12*** .11*** .13*** a 4 curve LOIC -.03 .03 .03 -.02 .02 -.01 -.04 -.05 -.03 R 2 .16*** .12*** .17*** .17*** .13*** .16*** .04*** .02*** .04*** 26
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SMU and offline Need-based Experiences Supplementary Material Note. * p<.05, ** p<.01, ***p<.001 Table S16. Sample 3: Results of Polynomial Regression Analysis with Response Surface Analyses Predicting Mental Health Outcomes based on autonomy-, relatedness-, and competence need frustration. Vitality Life Satisfaction Sleep Quality Sample  Aut Rel Com Aut Rel Com Aut Rel Com Polynomial regression coefficients b 1 offline .23*** -.20** * -.34*** -.25*** -.27** * -.36*** -.09*** -.09** * -.13*** b 2 SMU -.05* -.03 -.08*** -.07** -.03 .12*** -.04* .01 -.05*** b 3 offline 2 -.05*** -.01 -.05** -.04** .00 -.07*** -.02 -.00 -.03** b 4 offline x SMU .04* .06** .04* .04* .04 .06** .01 .01 .03* b 5 SMU 2 -.01 -.07** * -.03* -.03 -.05** -.04* -.01 -.02 .02 Response surface parameters a 1 slope LOC -.28*** -.22** * -.43*** -.32*** -.30** * -.48*** -.13*** -.08** * -.18*** a 2 curve LOC -.02 -.02 -.05** -.04 -.02 -.07*** -.02 -.01 -.02 a 3 slope LOIC -.18*** -.17** * -.26*** -.17*** -.23** * -.24*** -.06 -.09** -.08*** a 4 curve LOIC -.09** -.14** -.12*** -.11*** -.08* -.17*** -.04 -.03 -.09** 27
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SMU and offline Need-based Experiences Supplementary Material * R 2 .10*** .06*** .16*** .10*** .08*** .18*** .04*** .02*** .06*** Note. * p<.05, ** p<.01, ***p<.001 28
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SMU and offline Need-based Experiences Supplementary Material 6. Figures response surface analyses 6.1. Need satisfaction Figure S1. Response surface for the polynomial regression of need satisfaction predicting vitality in Sample 1. Figure S2 . Response surface for the polynomial regression of need satisfaction predicting life satisfaction in Sample 1. 29
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SMU and offline Need-based Experiences Supplementary Material Figure S3 . Response surface for the polynomial regression of need satisfaction predicting sleep quality in Sample 1. Figure S4. Response surface for the polynomial regression of need satisfaction predicting depression in Sample 1. 30
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SMU and offline Need-based Experiences Supplementary Material Figure S5 . Response surface for the polynomial regression of need satisfaction predicting anxiety in Sample 1. Figure S6. Response surface for the polynomial regression of need satisfaction predicting vitality in Sample 2. 31
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SMU and offline Need-based Experiences Supplementary Material Figure S7 . Response surface for the polynomial regression of need satisfaction predicting life satisfaction in Sample 2. Figure S8 . Response surface for the polynomial regression of need satisfaction predicting sleep quality in Sample 2. 32
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SMU and offline Need-based Experiences Supplementary Material Figure S9. Response surface for the polynomial regression of need satisfaction predicting depression in Sample 2. Figure S10 . Response surface for the polynomial regression of need satisfaction predicting anxiety in Sample 2. 33
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SMU and offline Need-based Experiences Supplementary Material Figure S11. Response surface for the polynomial regression of need satisfaction predicting vitality in Sample 3. 34
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SMU and offline Need-based Experiences Supplementary Material Figure S12 . Response surface for the polynomial regression of need satisfaction predicting life satisfaction in Sample 3. Figure S13 . Response surface for the polynomial regression of need satisfaction predicting sleep quality in Sample 3. 35
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SMU and offline Need-based Experiences Supplementary Material 6.2. Need frustration Figure S14 * . Response surface for the polynomial regression of need frustration predicting vitality in Sample 1 * Figure S15 . Response surface for the polynomial regression of need frustration predicting life satisfaction in Sample 1. 36
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SMU and offline Need-based Experiences Supplementary Material Figure S16* . Response surface for the polynomial regression of need frustration predicting sleep quality in Sample 1. Figure S17. Response surface for the polynomial regression of need frustration predicting depression in Sample 1. 37
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SMU and offline Need-based Experiences Supplementary Material Figure S18 . Response surface for the polynomial regression of need frustration predicting anxiety in Sample 1. Figure S19*. Response surface for the polynomial regression of need frustration predicting vitality in Sample 2. Figure S20 . Response surface for the polynomial regression of need frustration predicting life satisfaction in Sample 2. 38
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SMU and offline Need-based Experiences Supplementary Material Figure S21 . Response surface for the polynomial regression of need frustration predicting sleep quality in Sample 2. Figure S22. Response surface for the polynomial regression of need frustration predicting depression in Sample 2. 39
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SMU and offline Need-based Experiences Supplementary Material Figure S23 . Response surface for the polynomial regression of need frustration predicting anxiety in Sample 2. 40
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SMU and offline Need-based Experiences Supplementary Material Figure S24. Response surface for the polynomial regression of need frustration predicting vitality in Sample 3. Figure S25 . Response surface for the polynomial regression of need frustration predicting life satisfaction in Sample 3. Figure S26 . Response surface for the polynomial regression of need frustration predicting sleep quality in Sample 3 41
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SMU and offline Need-based Experiences Supplementary Material *Note that in Figure S14, S16 and S19 an additional curvilinear effect (a2) was significant on the LOC. Here, response surface figures suggested that when offline and SMU frustration had similar values either at the low-end (i.e., front corner) or at the high-end (i.e., upper corner) this yielded somewhat higher scores on well-being. A finding that would suggest that need frustration positively relates to well-being would be unexpected and opposed to SDT’s main claims (Ryan & Deci, 2023). However, these effects should be interpreted very cautiously given that no significance can be derived from the response surface figures and because situation on the LOC with high values for need frustration in both domains falls outside of the bagplot, a multivariate boxplot which depicts the position of the inner 50% of the 42
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SMU and offline Need-based Experiences Supplementary Material observations (Rousseeuw & Turkey, 1999). Thus, the values presented in the upper corner are most likely extrapolations with no actual observation (Tufte, 2001). 43
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SMU and offline Need-based Experiences Supplementary Material 44
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SMU and offline Need-based Experiences Supplementary Material 45
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