You can use quantile regression (in quantreg package) to compare
percentiles between two groups in a linear model formulation.  If you are
really interested in "equivalence" testing and not just using the term
informally, you might check out Cade (2011.  Estimating equivalence with
quantile regression.  Ecological Applications 21: 281-289) for some
examples.

Brian

Brian S. Cade, PhD

U. S. Geological Survey
Fort Collins Science Center
2150 Centre Ave., Bldg. C
Fort Collins, CO  80526-8818

email:  ca...@usgs.gov <brian_c...@usgs.gov>
tel:  970 226-9326


On Thu, Sep 24, 2015 at 12:31 PM, Mohamed A.Abdel-Fattah Mansour via R-help
<r-help@r-project.org> wrote:

> Dear AllI Have the data for two samples drawn from two different
> populations
> |
>
>   |
>
>   |
>
>   |
>
>   |
>
>   |  Percentiles
>
>   |
> |
>
>   |  Mean
>
>   |  STD
>
>   |  Min
>
>   |  Max
>
>   |  5th
>
>   |  25th
>
>   |  50th
>
>   |  75th
>
>   |  95th
>
>   |
> |  Sample 1
>
>   |  25
>
>   |  2
>
>   |  16
>
>   |  30
>
>   |  18
>
>   |  20
>
>   |  26
>
>   |  27
>
>   |  29
>
>   |
> |  Sample 2
>
>   |  26
>
>   |  2.1
>
>   |  21
>
>   |  32
>
>   |  17
>
>   |  21
>
>   |  27
>
>   |  28
>
>   |  30
>
>   |
>
>
>   I need to test the equivalence of the two samples regarding percentiles.
>  Dr. Mohamed A.Abdel-Fattah Mansour Associate Prof. of Industrial
> Engineering Industrial Engineering Department Faculty of Engineering KKU
>         [[alternative HTML version deleted]]
>
> ______________________________________________
> R-help@r-project.org mailing list -- To UNSUBSCRIBE and more, see
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> PLEASE do read the posting guide
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> and provide commented, minimal, self-contained, reproducible code.

        [[alternative HTML version deleted]]

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