Regarding the test for orthogonal regression:

There are measuring devices A and B$.$

There are three types of samples: a$,$ b$,$ and c$.$

Sample a is measured $5$ times with measuring device A$,$ and similarly, sample a is measured $5$ times with measuring device B$.$

Aa: Aa$1,$ Aa$2,$ Aa$3,$ Aa$4,$ Aa$5$

Ba: Ba$1,$ Ba$2,$ Ba$3,$ Ba$4,$ Ba$5$

Likewise, the other samples b and c are each measured $5$ times with their respective measuring devices.

Ab: Ab$1,$ Ab$2,$ Ab$3,$ Ab$4,$ Ab$5$

Bb: Bb$1,$ Bb$2,$ Bb$3,$ Bb$4,$ Bb$5$

Ac: Ac$1,$ Ac$2,$ Ac$3,$ Ac$4,$ Ac$5$

Bc: Bc$1,$ Bc$2,$ Bc$3,$ Bc$4,$ Bc$5$

I want to use these measurements to conduct a test using orthogonal regression to determine if the outputs from measuring devices A and B are the same. The software used for the test will be Minitab.

During this test, the mean values of Aa$,$ Ab$,$ Ac$,$ Ba$,$ Bb$,$ and Bc $($for example, Aa $=($Aa$1+$Aa$2+$Aa$3+$Aa$4+$Aa$5)/5)$ are calculated. I would like to know if there will be a difference in results between testing for orthogonal regression using the mean values of these three sets and using all $15$ individual values from measuring devices A $($Aa$1,$ Aa$2,$ Aa$3,$ Aa$4,$ Aa$5,$ Ab$1,$ Ab$2,$ Ab$3,$ Ab$4,$ Ab$5,$ Ac$1,$ Ac$2,$ Ac$3,$ Ac$4,$ Ac$5)$ and B $($Ba$1,$ Ba$2,$ Ba$3,$ Ba$4,$ Ba$5,$ Bb$1,$ Bb$2,$ Bb$3,$ Bb$4,$ Bb$5,$ Bc$1,$ Bc$2,$ Bc$3,$ Bc$4,$ Bc$5).$ What kind of differences in results might occur? Which method is correct for testing whether measuring devices A and B produce the same values?