An analysis of transformations¶
Box, G. E. P., & Cox, D. R. (1964). An analysis of transformations. Journal of the Royal Statistical Society: Series B (Methodological), 26(2), 211-252.
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Primes¶
- Transformation
- In linear algebra, matrix multiplication is associative but not commutative; in data pipelines, the order of transformations can dramatically affect results and resource use, a phenomenon Box and Cox (1964) made vivid in statistics by showing that compositions of variance-stabilizing transformations are non-commutative and that ordering changes inferential outcomes.
This sourceFoundational paper on parameterized data transformations in statistics; demonstrates that compositions of transformations are generally non-commutative and that ordering affects inferential outcomes.
- In linear algebra, matrix multiplication is associative but not commutative; in data pipelines, the order of transformations can dramatically affect results and resource use, a phenomenon Box and Cox (1964) made vivid in statistics by showing that compositions of variance-stabilizing transformations are non-commutative and that ordering changes inferential outcomes.
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