On Jan 27, 2012, at 4:10 PM, Michael wrote:

I changed the notation for data from x to z...

That's it. Should be very clear now... Thanks!

Data: z1, z2, ..., z_{n+1}

y1 = z_1,z_2,.........  z_n
y2 = z_2, z_3,......... z_{n+1}

x1 = 1, ..., n
x2 = 1, ..., n

y1 = A1+ x1 * B1 + epsilon_1
y2 = A2 + x2 * B2 + epsilon_2

H0: B1 and B2 are statistically significally different...

So in hopes of clarifying, ....So you want to test whether estimated slopes are different after you slide a data-window one unit to the right on the y-scale. Are you willing to say anything else about the mathematical properties of Y? is it for instance measured at equal time intervals?

--





On Fri, Jan 27, 2012 at 2:41 PM, Mark Leeds <marklee...@gmail.com> wrote:

now i'm confused because you first use y_1, y_2 and then use y later. I
would take
a look at that earlier paper i mentioned. I think it's along the lines of what you want. Unfortunately. I don't have a computer copy of it. I got it
from a library service where I once worked.


mark


On Fri, Jan 27, 2012 at 3:35 PM, Michael <comtech....@gmail.com> wrote:

Thanks all.

Here are a more clear statement of my question:

Data: z1, z2, ..., z_{n+1}

y1 = z_1,z_2,.........  z_n
y2 = z_2, z_3,......... z_{n+1}

x1 = 1, ..., n
x2 = 1, ..., n

y = A1+ x1 * B1 + epsilon_1
y = A2 + x2 * B2 + epsilon_2

H0: B1 and B2 are statistically significally different...

Any more thoughts?

Thanks  a lot!

On Fri, Jan 27, 2012 at 1:39 PM, Mark Leeds <marklee...@gmail.com> wrote:

Hi Richard: I read michael's question as meaning that he says two
univariate no intercept
regression model where the predictor data is different in each model so
that

x1 = x_11,x_12,.........  x_1n
x2 = x_21, x_22,......... x_2n
y = y_1, .....y_n

y = x1 * B1 + epsilon_1
y = x2 * B2 + epsilon_2

and he wants to see which coefficient ( B1 or B2 ) "works" better. But I
could be wrong
which I only realized after reading your recommendation. michael: if i'm
wrong, then disregard the paper reference that I sent earlier.


Mark



On Fri, Jan 27, 2012 at 2:29 PM, Richard M. Heiberger <r...@temple.edu >wrote:

It looks like you might be asking for the anova() on two models.

M1 <- lm(y ~ x1 + x2 + x3, data=something)
M2 <- lm(y ~         x2 + x3, data=something)
anova(M1, M2)

Please send a reproducible example to the list if more detail is needed.

Rich

On Thu, Jan 26, 2012 at 11:59 PM, Michael <comtech....@gmail.com>
wrote:

Hi al,

I am looking for a R command to test the difference of two linear
regressoon betas.

Lets say I have data x1, x2...x(n+1).
beta1 is obtained from regressing x1 to xn onto 1 to n.

beta2 is obtained from regressing x2 to x(n+1) onto 1 to n.

Is there a way in R to test whether beta1 and beta2 are statistically
different?

Thanks a lot!

      [[alternative HTML version deleted]]
.

David Winsemius, MD
West Hartford, CT

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