rotten news relay - sci.stat.math - Q predicting the direction of change due to the change of input

Subject: Q predicting the direction of change due to the change of input
From: Cosine
Newsgroups: sci.stat.math
Date: Sun, 16 Jul 2023 08:55 UTC

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Subject: Q predicting the direction of change due to the change of input
From: asecant@gmail.com (Cosine)
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Hi:

Given a function, y = f(a, b, c, d, ...) we want to know if the direction of the change of a specified input variable would result in a particular direction of the change of y. Say, setting the value of a to be higher than a specified value (a_spec) would result in an increase of the output y, and a lower value would result in a lower y.

How do we setup a test for this purpose?

Subject: Re: Q predicting the direction of change due to the change of input
From: Rich Ulrich
Newsgroups: sci.stat.math
Date: Sun, 16 Jul 2023 21:16 UTC
References: 1

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From: rich.ulrich@comcast.net (Rich Ulrich)
Newsgroups: sci.stat.math
Subject: Re: Q predicting the direction of change due to the change of input
Date: Sun, 16 Jul 2023 17:16:06 -0400
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On Sun, 16 Jul 2023 01:55:21 -0700 (PDT), Cosine <asecant@gmail.com>
wrote:

>Hi:
>
> Given a function, y = f(a, b, c, d, ...) we want to know if the
direction of the change of a specified input variable would result in
a particular direction of the change of y. Say, setting the value of a
to be higher than a specified value (a_spec) would result in an
increase of the output y, and a lower value would result in a lower y.
>
> How do we setup a test for this purpose?
>

If each of (b, c, d, ...) have only one possible value, then you would
only have to be concerned with the possible values of a and y.
Graph what you think is conceivable, mark off what is interesting,
and WHAT TEST should become inevitable.

Discrete values? specifically a linear relation? only a linear
relation? That's a starting point for whatever is realistic for
more realistic data where there are other values of (b, ...).

Are all the values 'designed' or is this largely naturalistic
observation, where you only can/will interfere with a? Tell us more.

- I doubt that anyone else will be more concrete in suggestions
unless you offer specific details.

--
Rich Ulrich

BOFH excuse #263: It's stuck in the Web.

sci / sci.stat.math / Q predicting the direction of change due to the change of input

Subject	Author
Q predicting the direction of change due to the change of input	Cosine
Re: Q predicting the direction of change due to the change of input	Rich Ulrich