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The size of P value does not equal to the magnitude of difference or  correlation

Published on Mar. 27, 2024Total Views: 1156 times Total Downloads: 1182 times Download Mobile

Author: ZHENG Qiaolan LIN Yanwei WANG Jingzhou

Affiliation: Journal Center, The Third Affiliated Hospital, Sun Yat-sen University, Guangzhou 510630, China

Keywords: P value t-test Chi-square test Pearson linear correlation analysis Logistic regression analysis

DOI: 10.12173/j.issn.1004-4337.202401131

Reference: Zheng QL, Lin YW, Wang JZ. The size of P value does not equal to the magnitude of difference or correlation[J]. Journal of Mathematical Medicine, 2024, 37(3): 158-163. DOI: 10.12173/j.issn.1004-4337.202401131[Article in Chinese]

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Abstract

Objective  To explore the relationship between P value and the size of difference or correlation.

Methods  Fixing sample statistics including mean and standard deviation, sample rate, correlation coefficient and OR (95%CI), then the data of independent sample t-test, chi-square test for comparing two sample rates, Pearson linear correlation analysis and univariate Logistic regression analysis were simulated respectively to observe the difference of P value under different sample size.

Results  When the difference in statistics between two sample groups is the same or the statistics within a single sample group are consistent but the sample size is different, the obtained P values may be﹥0.05, between 0.001 and 0.05, or﹤0.001.

Conclusion  The P value is greatly affected by the sample size, and its size does not equal to the magnitude of difference or correlation.

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References

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