) ( M1) ( M2) ( M6) ± 1. 53), ( SWLS) ( Δχ 2 ( 5) ( Δχ 2 ( 1) Internet. 1 Measurement Equivalence / Invariance. Hardre Crowson & Xie 2012

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1 2018 Vol. 38 No PSYCHOLOGICAL EXPLORATION * SWLS 1,2 2, , ( M group ) ( M1) ( M2) ( M3) ( M4) - ( M5) ( M6) ( SWLS), 1343 ( 17-25, ± 1. 53), ( vs. ), ( vs. ), ( vs. ), ( vs. ), ( vs. ), ( vs. ) ( SWLS) : ( 1) ( Δχ 2 = ~ ,p > 0. 05) ; ( 2),M5 M6 ( Δχ 2 ( 1 = ,p < 0. 05) ; ( 3),M3 M4 ( Δχ 2 ( 4) = ,Δχ 2 ( 5) = ,p < 0. 05) ; ( 4) ( Δχ 2 = ~ , p < 0. 05) ; ( 5),M4 ( Δχ 2 ( 5) = ,p < 0. 05) ; ( 6),M6 ( Δχ 2 ( 1) = ,p < 0. 05) ; ; B A Internet or On - line Dodou & Winter 2014 Raffaelli et al Measurement Equivalence / Invariance 2 Hardre Crowson & Xie Cieciuch et al Hauk 2015 Lewis 3 Watson & White 2009 Meade Lautenschlager & Michels 2007 Hauk Observer bias response bias Davis * CBA E - mail zhengguang_liu@ 126. com

2 38 1 SWLS Hardre et al SWLS 2 Factorial Invari ance Byrne Shavelson & Muthén 1989 Byrne Multi - group Confirmatory Factor Analysis MCFA Meade & Lautenschlager MCFA % 988 M group M % Invariant Covariance M1 Configural Invariance M2 Metric Invariance M4 Strict Invariance - M5 Factor Variance / Covariance Invariance M6 Latent Mean Invariance Vandenberg & Lance 2000 the Satisfaction With Life Scale 17 ~ ± % % 2. 2 SWLS Diener et al SWLS 7 1 ~ 7 5 Diener et al. 1985

3 α Δχ 2 χ 2 Δχ Wang Yuen & Slaney Δdf χ 2 Δχ α SWLS SWLS ~ ~ M group 0 ~ 2 0 ~ 7 M1 M2 Curran West & Finch 1996 M3 M4 - α M5 M6 α ~ χ 2 / df CFI TLI 90% CI RMSEA SRMR 1 % M SD α group % group % group % group % group % group % group % group % % CFI > TLI > RMSEA SRMR < RMSEA 2 χ 2 df Δχ 2 Δdf CFI ΔCFI 90% CI RMSEA SRMR M group M group M M M M M M

4 38 1 SWLS 83 2 χ 2 df Δχ 2 Δdf CFI ΔCFI 90% CI RMSEA SRMR M group M group M M M M M * M ** M group M group M M M ** M ** M M M group M group M M ** M ** M ** M ** M ** * p < * * p < CFI > TLI > SRMR < vs. M1 ~ M6 Δχ 2 p > vs. 2 vs. vs. M1 ~ M4 Δχ 2 p > vs. - M5 M6 Δχ 2 1 = p < vs. M1 M2 Δχ 2 p > M3 M4 Δχ 2 4 = Δχ 2 5 vs. = p < vs. M1 ~ M6 Δχ 2 p < 0. 05

5 Cheung & Rensvold M1 ~ M Widaman & Reise Byrne B. M. Shavelson R. J. & Muthén B Testing 2008 for the equivalence of factor covariance and mean structures The issue of partial measurement invariance. Psychological ΔCFII Δχ 2 Δχ 2 Bulletin ΔCFI ΔTLI Δχ 2 ΔCFI Cheung G. W. & Rensvold R. B Evaluating Goodness ΔCFI ΔCFI > of - Fit Indexes for Testing Measurement Invariance. Structural Equation Modeling A Multidisciplinary Journal Cheung Rensvold ΔCFI Δχ 2 Cieciuch J. Davidov E. Oberski D. L. & Algesheimer R. ΔCFI > Δχ Testing for measurement invariance by detecting local misspecification and an illustration across online and pa- p < per - and - pencil samples. European Political Science 14 Fournier et al Curran P. J. West S. G. & Finch J. F The robustness of test statistics to nonnormality and specification error ΔCFI ΔCFI in 2 confirmatory factor analysis. Psychological Methods Davis R. N Web - based administration of a personality questionnaire Comparison with traditional methods. Behav- ior Research Methods Instruments & Computers A Journal of the Psychonomic Society Inc Diener E. Emmons R. A. Larsen R. J. & Griffin S The satisfaction with life scale. Journal of Personality Assessment Diener E. Suh E. M. Lucas R. E. & Smith H. L Subjective well - being Three decades of progress. Psychological Bulletin SWLS Dodou D. & Winter J. C. F. D Social desirability is the same in offline online and paper surveys A meta - analysis. Computers in Human Behavior Fournier J. Gaudreau P. Demontrond - Behr P. Visioli J. Forest J. & Jackson S French translation of the Flow State Scale - 2 Factor structure cross - cultural invariance and associations with goal attainment. Psychology of ΔCFI Sport and Exercise SWLS Hardre P. L. Crowson H. M. & Xie K Examining Contexts - of - Use for Web - Based and Paper - Based Questionnaires. Educational & Psychological Measurement Hauk S A Comparison of Web - based and Paper -

6 38 1 SWLS 85 and - Pencil Homework on Student Performance in College Algebra. Primus Problems Resources & Issues in Mathematics Undergraduate Studies Lewis M. I. Watson B. & White K. M Internet versus paper - and - pencil survey methods in psychological experiments Equivalence testing of participant responses to health - related messages. Australian Journal of Psychology Meade A. W. & Lautenschlager G. J A Monte - Carlo Study of Confirmatory Factor Analytic Tests of Measurement Equivalence / Invariance. Structural Equation Modeling A Multidisciplinary Journal Meade A. W. Lautenschlager G. J. & Michels L. C Are Internet and Paper - and - Pencil Personality Tests Truly Comparable An Experimental Design Measurement Invariance Study. Organizational Research Methods Raffaelli M. Armstrong J. Tran S. P. Griffith A. N. Walker K. & Gutierrez V Focus on Methodology Beyond paper and pencil Conducting computer - assisted data collection with adolescents in group settings. Journal of Adolescence Vandenberg R. J. & Lance C. E A review and synthesis of the measurement invariance literature Suggestions practices and recommendations for organizational research. Organizational Research Methods Wang K. T. Yuen M. & Slaney R. B Perfectionism depression loneliness and life satisfaction a study of high school students in Hong Kong. The Counseling Psychologist Widaman K. F. & Reise S. P Exploring the measurement invariance of psychological instruments Applications in the substance use domain. The Science of Prevention Methodological Advances from Alcohol and Substance Abuse Research Testing Measurement Invariance of Satisfaction with Life Scale SWLS based on the Multi - group Confirmatory Factor Analysis Wang Daoyang 1 2 Liu Zhengguang 2 1. Department of Psychology Anhui Normal University Wuhu Collaborative Innovation Center of Assessment toward Basic Education Quality Beijing Normal University Beijing Abstract Measurement Invariance is important in the psychometric application of self - report scale or questionare which is a prerequisite for cross - group comparison. As an popular method to analyze Measurement Invariance multi - group confirmatory factor analysis contains various theoritical models and has different combination of models in application. The current study systemetically summarized these relative theoritical models and then proposed several models for testing Factorial Invariance including confirmatory factor analysis across groups without any limitation Mgroup Configural Invariance Model M1 Metric Invariance Model M2 Scalar Invariance Model M3 Strict Invariance Model M4 Factor Variance / Covariance Invariance Model M5 Latent Mean Invariance Model M6. The study took the Satisfaction With Life Scale SWLS as an example with the subjects of 1343 college students age ± to test SWLS Measurement Invariance according to different groups as below In a hurry or not Hurry vs. No - hurry Mood in the test Positive mood vs. Negative mood Noise or not Noise vs. Non - noise Response time Long response time vs. Short response time Gender Male vs. Female Hukou Agricultural vs. Non - agricultural. The results show that a Factorial Invariance is tenable across the Hurry group and No - hurry group Δχ 2 = ~ p > b Partial Factorial Invariance is tenable across the Positive mood group and Negative mood group with M5 Invariance Model and M6 Invariance Model untenable Δχ 2 1 = p < c Partial Factorial Invariance is tenable across the Noise group and Non - noise group with M3 Invariance Model and M4 Invariance Model untenable Δχ 2 4 = Δχ2 5 = p < d Factorial Invariance is tenable across the Long response time group and Short response time group Δχ 2 = ~ p < e Partial Factorial Invariance is tenable across the Male group and Female group with M4 Invariance Model untenable Δχ 2 5 = p < f Partial Factorial Invariance is tenable across the Rural group and Non - rural group with M6 Invariance Model untenable Δχ 2 1 = p < Key words measurement equivalence structural invariance SWLS

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