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Topic: The same four proportional weighting factors work for each
00/01/10/11 when 0.25 is subtracted from each !!!

Replies: 506   Last Post: Nov 20, 2012 9:21 PM

 Messages: [ Previous | Next ]
 Halitsky Posts: 600 Registered: 2/3/09
1) Good news: two scientifically reasonable results;
2) Bad news: they don’t withstand Bonferroni correction

Posted: Nov 18, 2012 4:30 PM

The first table below expresses two scientifically reasonable results
regarding our 3-way interactions for eS, uS, euSe, and euSu at
specific length intervals as well as across all length-intervals.

I would take the time to explain the scientific meaning of these
results, but unfortunately, the second table below shows that these
results do not withstand a plausible Bonferroni correction.

I have an idea as to what may help improve this situation, and will
implement it at the same time as I?m running the centroid analysis of
(e,u,c)|L (assuming you teach me how to map e,c,u into [0.1].)

Basically, the idea is to define uL and uH more carefully, as
follows. For each cell of the design, we can obviously calculate the
mean of u and (mean+/-2SD). We use these follows to say that u is in
uL if it is below mean-2SD and in uH if it is above mean+2SD. This
definition of uL and uH will, I think, get rid of a lot of ?crap? in
the middle that?s obscuring what?s really going on.

But again, please be assured that even though I am going to rerun the
regression analysis with this new definition of uL and uH, I fully
intend to run the centroid analysis of (e,u,c)|L. If the new
regression analysis yields results that do withstand a Bonferroni
correction, then they should line-up with what ever results are
obtained from the centroid analysis.

Table I:

Extent to which Significant 3-way Interactions
across Length Intervals
are Exhibited at Specific Length Intervals
(Data Not Shown for 2RS and 2RC)

3-way u Non-Random
Coeff Len Int p Lev 2S 2C % Chg
eS ALL .014 L 2.288 6.075 165.5%
H 7.993 8.309 4.0%

1 .035 L 1.578 6.545 314.6%
H 5.719 4.760 -16.8%

euSe ALL .005 L 2.402 6.154 156.2%
H 8.265 7.975 -3.5%

1 .025 L 2.076 6.640 219.8%
H 6.002 3.926 -34.6%

4 .011 L 1.250 7.881 530.3%
H 10.755 7.658 -28.8%

uS ALL .0003 L 0.277 -0.082 -129.6%
H 0.050 -0.848 -1796.0%

5 .040 L -0.287 -0.345 20.0%
H 0.289 -0.325 -212.3%

9 .0002 L 0.548 -0.078 -114.2%
H 0.436 -1.056 -342.4%

10 .011 L 0.563 -0.006 -101.0%
H 0.261 -1.103 -522.9%

11 .032 L 0.617 -0.142 -123.1%
H 0.354 -1.178 -432.9%

euSu ALL .036 L 0.240 -0.037 -115.4%
H -0.190 -0.760 300.0%

9 .008 L 0.482 -0.067 -113.8%
H 0.141 -0.829 -686.3%

11 .012 L 0.415 -0.083 -120.1%
H 0.185 -1.253 -777.3%

Table II:

Bonferronu Correction of p?s in Table I

TstVal=
.025/ p(j)-
j Category p(j) (14-j) TstVal

1 uS-9 .0002 .00192 -.00177
2 uS-ALL .0003 .00208 -.00178
3 euSe-ALL .005 .00227 .00264
4 euSu-9 .008 .00250 .00559
5 uS-10 .011 .00278 .00779
6 euSe-4 .011 .00313 .00784
7 euSu-11 .012 .00357 .00819
8 eS-ALL .014 .00417 .01032
9 euSe-1 .025 .00500 .02016
10 uS-11 .032 .00625 .02528
11 eS-1 .035 .00833 .02701
12 euSu-ALL .036 .01250 .02366
13 uS-5 .040 .02500 .01523

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