What question did this study set out to answer?

To derive an explicit mathematical formula for computing the inverse of the Freeman–Tukey double arcsine transformation.

November 1, 1978The American Statistician

The Inverse of the Freeman – Tukey Double Arcsine Transformation

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To derive an explicit mathematical formula for computing the inverse of the Freeman–Tukey double arcsine transformation.
Derived an algebraic formula to calculate the inverse of the Freeman–Tukey double arcsine transformation.
Formulated recommendations for applying the inverse equation when averaging proportions derived from unequal sample sizes (different n's).
Produced a mathematical inversion formula that accurately converts mean double arcsine values back into standard proportions.
Established that applying the harmonic mean of differing sample sizes provides the appropriate value of n for the inversion formula.

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Implication

Methodological study derives an inverse Freeman–Tukey double arcsine transformation, indicating an accurate method to back-transform statistical means into proportions.

Cite This Study

J. J. Miller (1978) studied this question.

synapsesocial.com/papers/6a10d18facd1dbe064647611 https://doi.org/10.1080/00031305.1978.10479283

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Implication

Methodological study derives an inverse Freeman–Tukey double arcsine transformation, indicating an accurate method to back-transform statistical means into proportions.

The Inverse of the Freeman – Tukey Double Arcsine Transformation

Key Points

Discussion

Implication

Cite This Study

The Inverse of the Freeman – Tukey Double Arcsine Transformation

Key Points

Discussion

Implication

Cite This Study

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