ak.var
Defined in awkward.operations.reducers on line 987.
- ak.var(x, weight=None, ddof=0, axis=None, keepdims=False, mask_identity=True)
- Parameters:
x – the data on which to compute the variance.
weight – data that can be broadcasted to
xto give each value a weight. Weighting values equally is the same as no weights; weighting some values higher increases the significance of those values. Weights can be zero or negative.ddof (int) – “delta degrees of freedom”: the divisor used in the calculation is
sum(weights) - ddof. Use this for “reduced variance.”axis (None or int) – If None, combine all values from the array into a single scalar result; if an int, group by that axis:
0is the outermost,1is the first level of nested lists, etc., and negativeaxiscounts from the innermost:-1is the innermost,-2is the next level up, etc.keepdims (bool) – If False, this function decreases the number of dimensions by 1; if True, the output values are wrapped in a new length-1 dimension so that the result of this operation may be broadcasted with the original array.
mask_identity (bool) – If True, the application of this function on empty lists results in None (an option type); otherwise, the calculation is followed through with the reducers’ identities, usually resulting in floating-point
nan.
Computes the variance in each group of elements from x (many
types supported, including all Awkward Arrays and Records). The grouping
is performed the same way as for reducers, though this operation is not a
reducer and has no identity. It is the same as NumPy’s
var
if all lists at a given dimension have the same length and no None values,
but it generalizes to cases where they do not.
Passing all arguments to the reducers, the variance is calculated as
ak.sum((x - ak.mean(x))**2 * weight) / ak.sum(weight)
If ddof is not zero, the above is further corrected by a factor of
ak.sum(weight) / (ak.sum(weight) - ddof)
Even without ddof, ak.var differs from ak.moment with n=2 because
the mean is subtracted from all points before summing their squares.
See ak.sum for a complete description of handling nested lists and
missing values (None) in reducers, and ak.mean for an example with another
non-reducer.