the output variance vs the output's variance

Both phrases are correct, but they are used in different contexts. 'The output variance' is used when 'variance' is an adjective describing the output, while 'the output's variance' is used when 'variance' is a noun possessed by the output. The choice between them depends on whether you want to use 'variance' as an adjective or a possessive noun.

Last updated: March 17, 2024 • 728 views

the output variance

This phrase is correct and can be used when 'variance' is an adjective describing the output.

This phrase is used when 'variance' is an adjective modifying 'output'. It describes a type of variance related to the output.

Examples:

The output variance is significant in this experiment.

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For example, given a model with two inputs and one output, one might find that 70% of the output variance is caused by the variance in the first input, 20% by the ...
... and decompose the output variance into parts attributable to input variables and combinations of variables. The sensitivity of the output to an input variable is ...
rameter on the output variance are described briefly. In addition, two methods ( Sobol' and FAST) that are capable of computing the so-called “Total Sensi-.
The square root of the output variance, for a unit-variance white-noise input. The root-mean-square of the output, for a unit-variance white-noise input. The H2 ...

Alternatives:

the variance of the output
the variance in the output
the output's variability
the output's fluctuation
the output's diversity

the output's variance

This phrase is correct and is used when 'variance' is a noun possessed by the output.

This phrase is used when 'variance' is a noun that belongs to or is associated with the output. It indicates a specific variance related to the output.

Examples:

We need to analyze the output's variance to understand the data better.

Show examples from the web [+]

factor to the output's variance. The term "total" here means that the factor's main effect, as well as all the interaction terms involving that factor, are included.
Mar 12, 2012 ... ... the Fourier amplitude sensitivity test (FAST) and allows the computation of the total contribution of each input factor to the output's variance.
It is based on the Fourier amplitude sensitivity test (FAST) and allows the computation of the total contribution of each input factor to the output's variance.
Jul 19, 2015 ... prior on the square root of the output's variance and on the error, sharing the same (prior) variance— which is itself encouraged to be large.

Alternatives:

the variance of the output
the variance in the output
the output variance
the output's variability
the output's fluctuation

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the output variance vs the output's variance