Combining Sample Mean and Standard Deviation – Chinese Version

Description

Due to the additive nature of variance, it is possible to calculate the combined variance or standard deviation of several groups when the variances or standard deviations of these groups are known. This calculation is commonly used in research collaborations. For instance, researchers may first analyze the performance of students in different classes and then evaluate the overall performance of the entire grade, or they might begin by assessing the performance of different grades before assessing the entire school. In educational and psychological research, the synthesis of data from various experimental sites often involves the combination of variances or standard deviations. It is important to note that the following formulas for combining variances and standard deviations can only be applied when the same measurement method is used and the same trait is measured, albeit in different samples.

Authors and Contact Email

张厚粲,徐建平.(2015).现代心理与教育统计学(第4版).北京:北京师范大学出版社.69-90

Purpose

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Test Year

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Administration Method and Scoring

Method 1: Information not available
Method 2: Information not available
Excel Calculation: Information not available

Reliability and Validity

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Factors and Subscales

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Keywords

Variance, Standard Deviation, Educational Research, Psychological Research, Data Synthesis

Items in Chinese

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Items in English

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References

张厚粲,徐建平.(2015).现代心理与教育统计学(第4版).北京:北京师范大学出版社.69-90
Reference Source: https://handbook-5-1.cochrane.org/chapter_7/table_7_7_a_formulae_for_combining_groups.htm

Cite this article

scale finder (2025). Combining Sample Mean and Standard Deviation – Chinese Version. PSYCHOLOGICAL SCALES. Retrieved from https://scales.arabpsychology.com/Ch/combining-sample-mean-and-standard-deviation-chinese-version/

scale finder. "Combining Sample Mean and Standard Deviation – Chinese Version." PSYCHOLOGICAL SCALES, 6 Feb. 2025, https://scales.arabpsychology.com/Ch/combining-sample-mean-and-standard-deviation-chinese-version/.

scale finder. "Combining Sample Mean and Standard Deviation – Chinese Version." PSYCHOLOGICAL SCALES, 2025. https://scales.arabpsychology.com/Ch/combining-sample-mean-and-standard-deviation-chinese-version/.

scale finder (2025) 'Combining Sample Mean and Standard Deviation – Chinese Version', PSYCHOLOGICAL SCALES. Available at: https://scales.arabpsychology.com/Ch/combining-sample-mean-and-standard-deviation-chinese-version/.

[1] scale finder, "Combining Sample Mean and Standard Deviation – Chinese Version," PSYCHOLOGICAL SCALES, vol. X, no. Y, ص Z-Z, February, 2025.

scale finder. Combining Sample Mean and Standard Deviation – Chinese Version. PSYCHOLOGICAL SCALES. 2025;vol(issue):pages.

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