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 *[:FAQ/FVars/Fab: Variances of simple combinations of estimates]

It is sometimes necessary to transform data to, for example, downweight the influence of outliers, prior to performing any analysis. The reciprocal of reaction times is used for this purpose.

A transformed mean, m, with variance s2 on a sample of size, n, has a backtransformed variance (ie on the original scale) given below.

F(m)

F-1 (m)

Variance F-1(m)

Ln(m)

em

(e2m s2) /n

1/m

1/m

s2/m4n

Sqrt(m)

m2

(2ms)2 /n

2arcsine(sqrt(m))

sin(m/2)2

sin(m/2)4s2/n

  • [:FAQ/FVars/Fab: Variances of simple combinations of estimates]

None: FAQ/FVars (last edited 2017-02-21 15:12:26 by PeterWatson)