measurement level

Named things have unique values {nominal level} {level of measurement} {measurement level} {absolute, measurement}. Name and value have one-to-one correspondence. Origin and units do not matter.

Different named things have value differences {interval level}. Affine linear transformations, such as t(m) = c * m + d, where m is value and c and d are constants, maintain differences.

For many named things, values have positions {ordinal level} in order. Monotone increasing transformations maintain order.

Values have ratios {ratio level} {log-interval level}. Power transformations, such as t(m) = c * m^d, where m is value and c and d are constants, maintain ratios. Linear transformations maintain ratio relations.

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Physical Sciences>Physics>Quantum Mechanics>Wavefunction>Collapse>Measurement

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