Researchers are often interested in comparing correlations between variables at different levels of analysis (e.g., individual and organizational) to determine if the same relationship holds across the levels. A special situation emerges when correlations at higher levels are based on aggregated data. This article contains an analysis of the nature of the relationship between correlations based on individual-level data and correlations based on aggregated data from individuals. In particular, the conditions under which differences between individual correlations and correlations based on aggregates represent statistical artifacts or meaningful differences are explored.
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Xi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Hong Kong Univ Sci & Technol, Dept Math, Hong Kong 000852, Peoples R ChinaXi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Dai, Mingwei
Wan, Xiang
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ShenZhen Res Inst Big Data, Shenzhen 518172, Peoples R ChinaXi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Wan, Xiang
Peng, Hao
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Southwestern Univ Finance & Econ, Sch Business Adm, Chengdu 611130, Sichuan, Peoples R ChinaXi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Peng, Hao
Wang, Yao
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Xi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Wang, Yao
Liu, Yue
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China Acad Chinese Med Sci, Xiyuan Hosp, Beijing 100091, Peoples R ChinaXi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Liu, Yue
Liu, Jin
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Duke NUS Med Sch, Ctr Quantitat Med, Program Hlth Serv & Syst Res, Singapore 169857, SingaporeXi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Liu, Jin
Xu, Zongben
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Xi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Xu, Zongben
Yang, Can
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Hong Kong Univ Sci & Technol, Dept Math, Hong Kong 000852, Peoples R ChinaXi An Jiao Tong Univ, Dept Appl Math, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China