How To Use Collinear In A Sentence
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It then follows from the Menelaus theorem, that every three such points are collinear provided all or two of the bisectors are external.
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In theory, PLS is applied in situations of multicollinearity, but the MBH network has many series that are essentially white noise and thus the proxies are surprisingly close to being orthogonal in the early networks and there are blocks of orthogonal series in the later network.
More on Bürger et al 2006 « Climate Audit
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IF there’s a “signal”, the series will be multicollinear – something that’s not wanted in regressions, but desirable in signal processing.
Regression and Varimax Rotation « Climate Audit
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But the Spread Law and Cross Law are uncredited as equivalents of the sine and cosine rules, and the Triple Quad Formula for collinearity as an equivalent of Heron's formula (three points are collinear if they make a triangle of zero area).
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The least Square estimates are not reliable when there exists multicollinearity in adjustment model.
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One is the data set might be too small -- what econometricians call "collinear" -- and the other is that the assumptions that you need are not really credible.
Library of Economics and Liberty
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Since the low frequency parts of the CO2 curve and solar curve are nearly collinear the estimation is particularly sensitive to low frequency noise.
More on MBH98 Figure 7 « Climate Audit
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However, I do though question your assumption that CO2 and Solar are collinear.
IPCC and Solar Correlations « Climate Audit
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In the context of an inverse regression, you have to think long and hard about whether a procedure for regression of effect upon causes (tree ring ~ temperature + precipitation) where you want orthogonality can be transmogrified into an inverse regression of cause upon effect in the style of dendroclimatologists ( temperature ~ bristlecones+ Gasp + …), where you actually want multicollinearity (i.e. a signal).
More on "Naturally Orthogonal" « Climate Audit
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For all you wild econometric fans: we are selecting on high multicollinearity in the Y to Z relationship.
Esper on In-Site Cherry Picking « Climate Audit
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By comparison, there were potential synteny, collinear order of some markers and conservation of collinear linkage groups among the maps and with the AA genome but not fully conservative.
BioMed Central - Latest articles
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During a second phase, the ‘line-finding’ phase, sets of collinear points aligned at that angle are identified.
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Because there is so little actual signal in the data, there is surprisingly low collinearity in the regressors and the regression is not as far away as all that from a multiple linear regression of temperature on 22-112 proxies over a calibration period of 79 years.
AR1 on First Differences « Climate Audit
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And what about the common trend in CO2 and Solar, no multicollinearity problems? jae
IPCC and Solar Correlations « Climate Audit
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It occurred to me that we can add extra error terms to introduce error in the cost function if the regression proxies are not collinear.
More on MBH98 Figure 7 « Climate Audit
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“from a multiple regression point of view, the non correlation reduces multicollinear problems which helps reduce variance inflation”
Nature's Style: "Naturally Orthogonal"? « Climate Audit
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Not only do the deletions disrupt collinearity but they also obscure intersections and symmetries.
UNDERSTANDING COMICS: More about closure
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This insert straightens the epoxied optical fiber inside the connector and produces an output beam whose axis is sufficiently collinear with the optical axis of the collimator.
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No, not Newt's law, but Newton's Law, which says "The mutual forces of action and reaction between two bodies are equal, opposite and collinear.
Newton's Law and Barney Frank
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There are two nouns morion kind of helmet, does not concern us here (it is probably from Spanish smoky quartz, has an interesting etymology: it is from a Latin word here about collimate, from an erroneous reading of Latin collineare; I wonder if there is a list somewhere of words with similar histories?
Languagehat.com
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In the new setting, the projective properties of figures can be defined unexceptionably. a one-one mapping f of projective space onto itself is a collineation if it sends any three collinear points A, B, and C, to three points (A), (B), and (C), which are collinear too.
Nineteenth Century Geometry
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Results of tests of outliers and assumptions of normality, homogeneity of variance-covariance matrices, linearity, and multicollinearity were satisfactory.
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The point about collinearity is probably still true, though.
MBH98 Figure 7 « Climate Audit
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This insert straightens the epoxied optical fiber inside the connector and produces an output beam whose axis is sufficiently collinear with the optical axis of the collimator.
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However, from a multiple regression point of view, the non correlation reduces multicollinear problems which helps reduce variance inflation.
Nature's Style: "Naturally Orthogonal"? « Climate Audit
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While it is not always feasible to home-brew a commercial quality antenn a designed tot ake hurricane force winds, it is very feasible to built a collinear antenn a for aver age use.
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Test for harmful collinearity among predictor variables used in modeling global temperature.
Think Progress » Virginia Asks Global Warming Skeptic To Stop Calling Himself ‘State Climatologist’
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“This dichroic mirror layer blocks the diffusion by the address pits, allowing ideal collinear holographic recording,” it says.
Data storage milestone -
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In a way principle component analysis helps as it orthoginilizes your drivers and although Steve mentioned the PCA is equivalent to least mean squares via the singular value based pseudo inverse this does not address the fact about the sensitivity of least mean squares to noise that correlates with the common signal of two nearly collinear drivers e.g co2 and solar.
Famiglietti Strikes Again « Climate Audit
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You’d certainly learn to more wary of things like stepwise regression between multicollinear time series which Rob Wilson has employed in his most recent article, argggh.
Curry on the Wegman Reports « Climate Audit
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Although not reported, the study's findings do not indicate high multicollinearity among cluster variates.
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Kosslyn identifies the problems with the right column pictures as follows:Not only do the deletions disrupt collinearity but they also obscure intersections and symmetries.
UNDERSTANDING COMICS: From vision to narrative?
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Goldberger's main point: People who use statistics often talk as if multicollinearity high correlations between independent variables biases results.
Multicollinearity and Micronumerosity, Bryan Caplan | EconLog | Library of Economics and Liberty
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Most multivariate methods are concerned about collinearity.
AR1 on First Differences « Climate Audit
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However, the expression of these four Hox genes along the oral-aboral axis shows no evidence of cis-collinearity,
PLoS ONE Alerts: New Articles
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Labor economists routinely tease out relationships in multicollinear worlds in other aspects with great care, and great success, but it seems to these same people that estimating IQ's effect is impossible Heckman's other tact, that IQ is malleable, was abandoned when he found that IQ was pretty consistent over an individual's life.
Two Educational Heresies: Ability Bias vs. Signaling, Bryan Caplan | EconLog | Library of Economics and Liberty
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In one variant of the receiver, the coils are collinear and are wound about cores that are mounted in pairs of diametrically opposed apertures in the housing of the probe.
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In the first of these evaluations of angle perception, subjects were asked to rotate a test line until it appeared collinear with the indicated arm of the inducing angle.
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Also, if the regressors are highly correlated the collinearity problem Steve alluded to then that could explain the instability of the regression coefficients.
MBH98 Figure 7 « Climate Audit
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A remarkable related feature is that the empirical lack of collinearity in the MBH network.
Groveman and Landsberg « Climate Audit
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In my experience, interaction variables are kitchen sink type regressors that induce severe multicollinearity and give spurious results.
Archive 2005-11-27
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The upper intercept defined by the six collinear points is 610.4 + 0.9 / - 0.7 Ma and is considered to be the best estimate of the timing of emplacement of the intrusion.
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Evidence of multicollinearity is consistent with that hypothesis and certainly not a “problem” for it.
Groveman and Landsberg « Climate Audit
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Collinearity was assessed by computing the longest common subsequence of gene pairs.
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Exact alignment occurs when these three points are collinear in the frontal (ie, coronal) plane.
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The degree of collinearity is determined by the weight of the squared multiple correlation coefficients of the indicators with any other causes of the latent variable.
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In short, whether or not multicollinearity is a problem depends on what hypothesis you are trying to test.
Groveman and Landsberg « Climate Audit
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Clearly if the drivers are nearly collinear you have a problem.
Famiglietti Strikes Again « Climate Audit
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This is not surprising given the high degree of collinearity among the PMI's components.
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But if we had to use historical data instead, we would sove the problem of multicollinearity by using factor analysis or partial least squares, both of which combine the data into fewer, but independent predictors.
Multicollinearity and Micronumerosity, Bryan Caplan | EconLog | Library of Economics and Liberty
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To control for collinearity between the symptoms in the ANCOVA model, all 17 other ADHD symptoms (minus the one being used as the independent variable) were entered as covariates.
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In contrast, expression of "anterior" vs. "posterior" genes in different domains along the oral-aboral axis, potentially evoking trans-collinearity, has been reported in
PLoS ONE Alerts: New Articles
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The use of collinear beam geometry facilitates the alignment of the overlap of the two foci and ensures high image quality.
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A problem in regression analysis is multicollinearity, which is to say moderate or high correlations among the independent variables.
Multicollinearity and Micronumerosity, Bryan Caplan | EconLog | Library of Economics and Liberty
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Before testing the hypothesis with regression analysis, we checked the degree of collinearity among the independent variables.
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Objective To measure the multi - collinearity bias in trend - surface models and to control its trend - surface analysis.
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In fact, according to a common definition of “geometric duality”, the case of three lines sharing an intersection point can be considered equivalent to the case of three points being collinear.
Life on Mars? The real lesson from Lowell - The Panda's Thumb
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He at first does a good job describing the Rb-Sr isochron method, but then accepts the collinearity of points on the ‘isochron’ as a virtual guarantee of the age obtained.
