Dear Cat

My apologies for presuming...

Here's a "primitive" solution:  compute a t-statistic or CI.

t = (beta-hat - 1)/SE(beta-hat), compare to qt(.975, res.df)

Or Better, compute the 95% confidence interval

  beta-hat + c(-1,1)*qt(.975, res.df)*SE(beta-hat)

albyn

On 2012-11-24 18:05, Catriona Hendry wrote:
Hi,

@ Albyn, David.. No, its not homework. Its basic groundwork for testing allometric relationships for a graduate project I am working on. I read the guide before posting, I spent half the day trying to understand how I am
going wrong based on the advice given to others.

@Bert, David... I apologise for the lack of code, I wasn't sure how to
explain my problem and I guess I went about it the wrong way.

I do think this is what I need to be doing, I am testing allometric
relationships of body size against a predicted isometric (1:1)
relationship. So I would like to know if the relationship between my
variables deviates from that.

Hopefully the information below will be what is needed.

Here is the part of the code relevant to the regression and plot:


plot(Contrast_log_MTL_ALL, Contrast_log_FTL_ALL)

Regression_PhyloContrasts_ALL <- lm(Contrast_log_FTL_ALL ~
Contrast_log_MTL_ALL, offset=1*Contrast_log_MTL_ALL)
abline(Regression_PhyloContrasts_ALL)

the plot that resulted is attached as an image file.


Below are the vectors of my variables. The are converted from other values imported and indexed from a csv file, so unfortunately I don't have matrix
set up for them.

  Contrast_log_FTL_ALL Contrast_Log_MTL_ALL  83 0.226593 0.284521  84
0.165517 0.084462 85 -0.1902 -0.0055 86 0.585176 0.639916 87 -0.01078 0.118011 88 0.161142 0.073762 89 -0.08566 -0.04788 90 -0.13818 -0.0524
91 -0.02504 -0.21099  92 -0.05027 -0.07594  93 -0.11399 -0.07251  94
-0.07299 -0.08247 95 -0.09507 -0.04817 96 0.207591 0.151695 97 -0.14224 -0.05097 98 0.06375 -0.0229 99 0.04607 0.06246 100 0.257389 0.190531 101 -0.0612 -0.10902 102 -0.1981 -0.24698 103 -0.12328 -0.36942 104 0.269877
0.341989  105 0.125377 0.227183  106 0.087038 -0.05962  107 0.114929
0.096112 108 0.252807 0.305583 109 -0.0895 -0.08586 110 -0.38483 -0.20671 111 -0.72506 -0.63785 112 -0.37212 -0.21458 113 0.010348 0.117577 114 -0.09625 -0.0059 115 -0.26291 -0.25986 116 0.056922 0.064041 117 0.051472
-0.09747  118 -0.05691 0.075005  119 0.117095 -0.15497  120 -0.01329
-0.12473 121 0.098725 0.020522 122 -0.0019 -0.01998 123 -0.12446 -0.02312 124 0.019234 0.031391 125 0.385366 0.391766 126 0.495518 0.468946 127
-0.09251 -0.08045  128 0.147965 0.139117  129 -0.03143 -0.02319  130
-0.19801 -0.14924  131 0.014104 -0.01917  132 0.031872 -0.01381  133
-0.01412 -0.04381 134 -0.12864 -0.08527 135 -0.07179 -0.03525 136 0.31003 0.29553 137 -0.09347 -0.11903 138 -0.10706 -0.16654 139 0.078655 0.065509 140 0.08279 -0.00766 141 0.181885 0.001414 142 0.345818 0.496323 143
0.235044 0.095073  144 -0.03022 0.039918  145 0.042577 0.136586  146
0.064208 0.001379  147 -0.02237 -0.03009  148 -3.55E-05 0.040197  149
0.011168 0.087116  150 0.019964 0.071822  151 -0.04602 -0.06616  152
0.083087 0.038592  153 0.032078 0.107237  154 -0.21108 -0.22347  155
0.122959 0.297917  156 -0.05898 0.012547  157 -0.07584 -0.21588  158
-0.00929 -0.06864  159 -0.01211 -0.04559  160 0.090948 0.136582  161
0.016974 0.018259  162 -0.04083 0.016245  163 -0.20328 -0.31678






On Sat, Nov 24, 2012 at 8:22 PM, Bert Gunter <gunter.ber...@gene.com> wrote:

1. The model is correct :  lm( y~ x + offset(x))
( AFAICS)

2. Read the posting guide, please: Code? I do not know what you mean by:

" this resulted in a regression line that was plotted perpendicular to
the data when added with the abline function."

Of course, maybe someone else will groc this.

3. I wonder if you really want to do what you are doing, anyway. For
example, in comparing two assays to see whether they give "similar"
results, you would **not** do what you are doing. If you care to follow up on this, I suggest you post complete context to a statistical mailing list, not here, like stats.stackexchange .com. Also, feel free to ignore me, of
course. I'm just guessing.

Cheers,
Bert

Cheers,
Bert


On Sat, Nov 24, 2012 at 4:27 PM, Catriona Hendry <hen...@gwmail.gwu.edu>wrote:

Hi!

I have a question that is probably very basic, but I cannot figure out how to do it. I simply need to compare the significance of a regression slope
against a slope of 1, instead of the default of zero.

I know this topic has been posted before, and I have tried to use the advice given to others to fix my problem. I tried the offset command based
on one of these advice threads as follows:

Regression <- lm(y~x+offset(1*x))

but this resulted in a regression line that was plotted perpendicular to
the data when added with the abline function.

I would be extremely grateful for your help!!

Thanks!!

Cat

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--

Bert Gunter
Genentech Nonclinical Biostatistics

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Phone: 467-7374
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