| The Logical Language Group Online Dictionary Query |
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From Lojban to English :
Word: zu'oi [jbovlaste]
Type: experimental cmavo (YOU RISK BEING MISUNDERSTOOD IF YOU USE THIS WORD)
Gloss Word: 1.96 in the sense of "approximate; a.k.a.: standard normal deviate, 97.5th percentile point, .975 point"
Gloss Word: standard normal deviate
Gloss Word: z point
selma'o: VUhU
Definition: mekso; binary operator: z-score for the X1 quantile; X2
(default: 1) acts as the descriptor toggle (see notes).
Notes: If $X_2 = 0$, then X1 is to be interpreted as a quantile and
the output is the corresponding (canonical-gaussian) z-score;
if $X_2 = 1$ (which is the default), then X1 is to be
interpreted as the area below the canonical gaussian and
between the output number of standard deviations from the mean
of the canonical gaussian. Thus, zu'oi(X1, 1) = zu'oi((1/2) +
(X1 / 2), 0). Example: zu'oi(.95, 1) = zu'oi(.975, 0) =
1.959964...; for more information on this example, see:
https://en.wikipedia.org/wiki/1.96 . For the purposes of this
definition, the canonical guassian is such that its mean is 0
and its standard deviation is 1. This number is used in
confidence interval calculations, via the sample mean and
standard error.