# 量度層次

## 大要

1

nominal
${\displaystyle =}$${\displaystyle \neq }$ 二元名目：性別（男、女）、真實性（真、假）、出席狀況（出席、缺席）

2

ordinal
${\displaystyle =}$${\displaystyle \neq }$${\displaystyle >}$${\displaystyle <}$ 多元次序：服務評等（傑出、好、欠佳）、教育程度（小學、初中、高中、學士、碩士同博士等） 眾數中位數 分位數

3

interval
${\displaystyle =}$${\displaystyle \neq }$${\displaystyle >}$${\displaystyle <}$
${\displaystyle +}$${\displaystyle -}$

4

ratio
${\displaystyle =}$${\displaystyle \neq }$${\displaystyle >}$${\displaystyle <}$
${\displaystyle +}$${\displaystyle -}$${\displaystyle \times }$${\displaystyle \div }$

## 攷

1. Kirch, Wilhelm, ed. (2008). "Level of Measurement". Encyclopedia of Public Health. Springer. pp. 851–852.
2. Stevens, S. S. (7 June 1946). "On the Theory of Scales of Measurement". Science. 103 (2684): 677–680.
3. Michell, J (1986). "Measurement scales and statistics: a clash of paradigms". Psychological Bulletin. 100 (3): 398–407.
4. Mosteller, Frederick (1977). Data analysis and regression : a second course in statistics. Reading, Mass: Addison-Wesley Pub. Co.
5. Chrisman, Nicholas R. (1998). "Rethinking Levels of Measurement for Cartography". Cartography and Geographic Information Science. 25 (4): 231–242.