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Don the theorems in a statistics textbook prove the validity of statistical methods without reference to measurement theory?

April 26, 2017measurement methods prove Reference statistical statistics textbook theorems Theory validity

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Don the theorems in a statistics textbook prove the validity of statistical methods without reference to measurement theory?

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Mathematical statistics is concerned with the connection between inference and data. Measurement theory is concerned with the connection between data and reality. Both statistical theory and measurement theory are necessary to make inferences about reality.