• Q predicting the direction of change due to the change of input

    From Cosine@21:1/5 to All on Sun Jul 16 01:55:21 2023
    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?

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  • From Rich Ulrich@21:1/5 to All on Sun Jul 16 17:16:06 2023
    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

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