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Why is a correction factor of x or - 0.5 needed?

Updated: 8/20/2019
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10y ago

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The answer depends on the context.

In probability or statistics, when using a continuous distribution as an approximation for a discrete distribution it is advisable to use 0.5 as a "continuity correction". This is to allow for the fact that the discrete variable usually cannot take values between integers.

In other situations a correction may be applied to allow for measurement error.

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Q: Why is a correction factor of x or - 0.5 needed?
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