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Theoretical Construction and Empirical Test of U-shaped Relationships in Management Research
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Chi Ma1, Jiapeng Li2
Journal of Technology Economics | 2025, 44(5) : 84 - 93
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Journal of Technology Economics | 2025, 44(5): 84-93
Technology Economics Management
Theoretical Construction and Empirical Test of U-shaped Relationships in Management Research
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Chi Ma1, Jiapeng Li2
Affiliations
  • 1 School of Police Administration, People's Public Security University of China, Beijing 100038, China
  • 2 Business School, Central University of Finance and Economics, Beijing 100081, China
Published: 2025-05-25 doi: 10.12404/j.issn.1002-980X.J24031806
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In recent years, management research has become increasingly sophisticated, transitioning from exploring simple linear relationships between variables to more complex nonlinear relationships. The U-shaped (or inverted U-shaped) relationship reveals the pattern of variables decreasing and then increasing (or vice versa), reflecting profound management concepts such as "extremes meet" and "too much is as bad as too little, " which hold significant theoretical and practical implications. Reviewing articles related to U-shaped relationships in representative Chinese management journals from 2015 to 2023, considerable room for improvement in the construction and testing of these relationships was revealed. As such, the progress of U-shaped relationship research in management, both domestically and internationally, is systematically elaborated on, which argues that identifying two distinct mechanisms through which the independent variable affects the dependent variable is critical to the construction of U-shaped relationships. Based on this, three methods for constructing the main effects of U-shaped relationships and their corresponding steps are summarized, along with a six-step process for testing the main effects and a three-step process for testing moderating effects. By integrating and summarizing the principles, procedures, and methods for constructing and testing U-shaped relationships, the shortcomings in methodology related to U-shaped relationships in domestic management research are addressed, contributing to the enhancement of research quality in the field of management.

U-shaped relationship  /  construction  /  test  /  management
Chi Ma, Jiapeng Li. Theoretical Construction and Empirical Test of U-shaped Relationships in Management Research[J]. Journal of Technology Economics, 2025 , 44 (5) : 84 -93 . DOI: 10.12404/j.issn.1002-980X.J24031806
Year 2025 volume 44 Issue 5
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doi: 10.12404/j.issn.1002-980X.J24031806
  • Receive Date:2024-03-18
  • Online Date:2025-07-04
  • Published:2025-05-25
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  • Received:2024-03-18
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    1 School of Police Administration, People's Public Security University of China, Beijing 100038, China
    2 Business School, Central University of Finance and Economics, Beijing 100081, China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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