Standard score
lastmod 2025-01-06created 2024-02-212 edits
The standard score (標準 點數, Standard score) is a dimensionless quantity that statistically forms a normal distribution and shows where each individual case lies in terms of standard deviations. It is also called the standard value, Z-value, or Z score.
It is also used in assessments such as academic achievement tests to show where each individual's score lies within the whole. It is generally distributed from 75 to 25. It began to develop from the study by the Belgian statistician Adolphe Quetelet, "A Treatise on Man and the Development of His Faculties, 1835). Today, the deviation value (偏差値), a t score converted from the standard score for better readability, is widely used.
See also
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- Standard score - Wikipedia
- (Data preprocessing) Outlier (anomaly/outlier value/singular value/singular point, etc.) detection method : 2. Z-score method with
- Outliers: Detecting Outliers Using Z-Scores: A Statistical Approach - FasterCapital
- Using the Z-score method to determine overall process capability for nonnormal data - Minitab
- Standardized score Z-score : Naver Blog