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1 13.1 - Weighted Least Squares | STAT 501
https://online.stat.psu.edu/stat501/lesson/13/13.1
Some key points regarding weighted least squares are: The difficulty, in practice, is determining estimates of the error variances (or standard deviations).
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2 Weighted least squares - Wikipedia
https://en.wikipedia.org/wiki/Weighted_least_squares
Weighted least squares (WLS), also known as weighted linear regression, is a generalization of ordinary least squares and linear regression in which ...
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3 Weighted Least Squares - Math @ McMaster University
https://ms.mcmaster.ca/canty/teaching/stat3a03/Lectures7.pdf
Weighted least squares is an estimation technique which weights the observations proportional to the reciprocal of the error variance for that observation ...
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4 When and How to use Weighted Least Squares (WLS) Models
https://towardsdatascience.com/when-and-how-to-use-weighted-least-squares-wls-models-a68808b1a89d
You'll notice how outliers in areas where variance is expected are reduced in impact on the parameter estimation. Remember, use WLS when ...
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5 Weighted Least Squares: an introduction - YouTube
https://www.youtube.com/watch?v=wCJ8I-MtJdQ
Jul 22, 2013
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6 What is the weighted least squares method, and what ... - Quora
https://www.quora.com/What-is-the-weighted-least-squares-method-and-what-is-its-basic-idea
Weighted least squares is used to ameliorate non-constant variances between observations in a regression (least squares) model. The basic idea is that your ...
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7 How do you find weights for weighted least squares regression?
https://stats.stackexchange.com/questions/97832/how-do-you-find-weights-for-weighted-least-squares-regression
Weighted least squares (WLS) regression is not a transformed model. Instead, you are simply treating each observation as more or less ...
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8 Lecture 24–25: Weighted and Generalized Least Squares
https://www.stat.cmu.edu/~cshalizi/mreg/15/lectures/24/lecture-24--25.pdf
Qualitatively, the reason WLS with inverse variance weights works is ... We've seen that when we do weighted least squares, our estimates of ...
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9 Weighting Least Square Regression
https://www.azdhs.gov/documents/preparedness/state-laboratory/lab-licensure-certification/technical-resources/calibration-training/11-weighted-least-squares-regression-calib.pdf
Each term in the weighted least squares criterion includes an additional weight, that determines how much each observation in the data set influences the final ...
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10 Application of Weighted Least Squares Regression in ...
https://www.paperpublications.org/upload/book/Application%20of%20Weighted-445.pdf
Abstract: This work models the loss of properties from fire outbreak in Ogun State using ... our weights in a weighted least squares regression would be.
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11 Weighted Least Squares - Gregory Gundersen
https://gregorygundersen.com/blog/2022/08/09/weighted-ols/
Thus, if we know σn2​ for each sample and use weights that are the reciprocal of the variances, the WLS is the best linear unbiased estimator ( ...
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12 How to Perform Weighted Least Squares Regression in R
https://www.statology.org/weighted-least-squares-in-r/
Step 1: Create the Data · Step 2: Perform Linear Regression · Step 3: Test for Heteroscedasticity · Step 4: Perform Weighted Least Squares ...
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13 Weighted Least Squares and Residuals - JMP User Community
https://community.jmp.com/t5/Discussions/Weighted-Least-Squares-and-Residuals/td-p/368526
The residual pattern without transforming the response is the same as the unweighted linear regression, but the neural model estimation does not ...
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14 Least-Squares Fitting - MATLAB & Simulink - MathWorks
https://www.mathworks.com/help/curvefit/least-squares-fitting.html
Bisquare weights — This method minimizes a weighted sum of squares, where the weight given to each data point depends on how far the point is from the fitted ...
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15 Solving the problem of heteroscedasticity through ... - Datamotus
https://datamotus.com/2019/10/30/Weighted-Least-Squares.html
Weighted least squares estimates of the coefficients will usually be nearly the same as the “ordinary” unweighted estimates. In the models with ...
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16 Davenport, Ernest C., Jr. A Weighted Least Squares Approach ...
https://files.eric.ed.gov/fulltext/ED411271.pdf
Perform a weighted least squares regression and store the regression coefficients. Step 11. If all data points are in the working dataset, go to Step 13.
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17 (PDF) Application of Weighted Least Squares ... - ResearchGate
https://www.researchgate.net/publication/301689798_Application_of_Weighted_Least_Squares_Regression_in_Forecasting
... It works by integrating the fitting criteria with additional non-negative weights or constants associated with all data points. The size of ...
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18 Weighted Least-Squares Method | SpringerLink
https://link.springer.com/10.1007/978-0-387-32833-1_422
› ...
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19 Transformations & Weighted Least Squares
https://web.stanford.edu/class/stats191/notebooks/Transformations_WLS.html
We have been working with linear regression models so far in the course. · Some models are nonlinear, but can be transformed to a linear model. · We will also see ...
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20 Weighted Linear Regression | Real Statistics Using Excel
https://www.real-statistics.com/multiple-regression/weighted-linear-regression/
Weighted least squares (WLS) regression is an extension of ordinary (OLS) least-squares regression by the use of weights. Generally, weighted least squares ...
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21 weighted least-squares regression: Topics by Science.gov
https://www.science.gov/topicpages/w/weighted+least-squares+regression
Weights suitable for use in a WLS regression analysis must be estimated. A… ... of this work is to develop and clinically evaluate a weighted least squares ...
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22 Resurrecting Weighted Least Squares
https://www.econ.uzh.ch/static/wp/econwp172.pdf
Despite constant additions to the toolbox of applied researchers, linear regression models remain the cornerstone of empirical work in economics and other ...
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23 Fitting Data Points With Weighted Least Squares
https://blog.demofox.org/2022/06/06/fitting-data-points-with-weighted-least-squares/
There is something called “generalized least squares” (GLS) where the weight matrix is a covariance matrix, allowing more complex correlations ...
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24 Application of the Iterated Weighted Least-Squares Fit ... - arXiv
https://arxiv.org/abs/1807.07911
For linear models, the iterated weighted least-squares method converges faster than the equivalent maximum-likelihood method, and does not require ...
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25 Least Squares Fitting -- from Wolfram MathWorld
https://mathworld.wolfram.com/LeastSquaresFitting.html
A mathematical procedure for finding the best-fitting curve to a given set of points by minimizing the sum of the squares of the offsets ("the residuals") ...
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26 A Comparison Of Ordinary Least Squares, Weighted ... - ucf stars
https://stars.library.ucf.edu/cgi/viewcontent.cgi?article=2002&context=etd&httpsredir=1&referer=
recommended weighted least squares estimation, demonstrating that it outperformed ... work and school schedules while raising our girls (from day-care to ...
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27 10.1 Weighted and Reweighted Least Squares | Stat 340 Notes
https://bookdown.org/ltupper/340f21_notes/weighted-and-reweighted-least-squares.html
In fact, once we do that, we wind up with a new set of residuals, which we could try to model again, which would lead us to a new set of coefficient estimates…
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28 Chapter 11 - University of South Carolina
https://people.stat.sc.edu/hansont/stat704/Lecture18.pdf
11.1 Unequal variance rem. measure: Weighted least squares ... More advanced remedy: weighted least squares regression. ... samples work fine).
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29 Weighted Least Squares - Mark Lai
https://quantscience.rbind.io/2020/06/12/weighted-least-squares/
To use WLS, we first assume that each categorical variable has an underlying normal variate that has been categorized, and usually it's assumed ...
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30 Weighted regression - worked example
https://www.medcalc.org/manual/weighted-regression-worked-example.php
The problem of heteroscedasticity · Fit the regression model by unweighted least squares and analyze the residuals. · Estimate the variance function or the ...
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31 JOHN B. WILLETT - JUDITH D. SINGER Harvard University
https://gseacademic.harvard.edu/~willetjo/pdf%20files/Willett_Singer_JEE89.pdf
Caveats for the Statistical Consumer: A Cautionary Note on Case Weighting as a Method of Implementing Weighted. Least-Squares Regression. JOHN B. WILLETT.
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32 What a weighted least squares regression and when is it used?
https://socratic.org/questions/what-a-weighted-least-squares-regression-and-when-is-it-used
Weighted Least Squares as name indicate is a mechanism for accounting for the impact of the each date point by weighting each data point by ...
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33 Improving the weighted least squares estimation of ...
https://www.sciencedirect.com/science/article/abs/pii/S0016003219304624
Although the weighted least squares (LS) method is straightforward to deal with errors-in-variables (EIV) models, it results in the biased estimates of ...
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34 Least Squares Method: What It Means, How to Use It, With ...
https://www.investopedia.com/terms/l/least-squares-method.asp
The least squares method is a statistical procedure to find the best fit for a set of data points by minimizing the sum of the offsets or residuals of points ...
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35 Weighted least-squares approach to calculating limits of ...
https://pubmed.ncbi.nlm.nih.gov/21639327/
In this work, the use of weighted tolerance intervals is introduced for estimating detection and quantification limits. In addition, models for estimating the ...
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36 Weighted Least Squares In R - R Frequently Asked Questions
https://rfaqs.com/weighted-least-squares-in-r/
This post will discuss the implementation of Weighted Least Squares (WLS) in R. The OLS method minimizes the sum of squared residuals, ...
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37 User's Guide to the Weighted-Multiple-Linear Regression ...
https://pubs.usgs.gov/tm/tm4a8/pdf/TM4-A8.pdf
The MSE metric does not distinguish the proportion of total error, εi that is composed of model error, δi, and time- sampling error, ηi. WLS and GLS regression ...
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38 Weighted Least Squares Regression, using Excel, VBA, Alglib ...
https://newtonexcelbach.com/2017/02/05/weighted-least-squares-regression-using-excel-vba-alglib-and-python/
The weighted error values for each point are squared, so the weights are also squared, but the standard definition for weighted least squares ...
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39 What does Stata do with margins when using weighted least ...
https://www.statalist.org/forums/forum/general-stata-discussion/general/1664304-what-does-stata-do-with-margins-when-using-weighted-least-squares
Then plug in the estimates of the bj coefficients. The only difference should be that OLS is used in one case and WLS in the others to obtain ...
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40 Least Squares Methods for Treating Problems with ...
https://pubs.acs.org/doi/10.1021/acs.analchem.0c02178
The linear relationship between the measurements of two methods is estimated on the basis of a weighted errors-in-variables regression model ...
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41 Weighted Least Squares Estimation with Simultaneous ...
http://www.asasrms.org/Proceedings/y2014/files/312752_89890.pdf
weights on the WLS solutions. In the current work, we simultaneously consider sampling weights and inverses of variance for the WLS solutions, ...
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42 Heteroscedasticity in Regression Analysis - Statistics By Jim
https://statisticsbyjim.com/regression/heteroscedasticity-regression/
How to do this depends on the specific software that you're using. The type of weighted regression that I refer to in this post is weighted least squares (WLS).
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43 Weighted least squares regression - Insight Central
https://analysights.wordpress.com/tag/weighted-least-squares-regression/
Essentially, the LPM looked that the two discrete outcomes: a 1 if the outcome occurred and a 0 if it did not. We treated that binary variable ...
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44 Introduction to residuals and least-squares regression (video)
https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/xfb5d8e68:residuals/v/regression-residual-intro
› ... › Residuals
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45 Weighted Least Squares Estimators on the Frequency Domain ...
https://www.jstor.org/stable/2241634
Tine series, weighted least squares estimation, periodogram, spectrum, cumulants. ... parameters, it is natural to work with the spectrum directly.
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46 How to set a weighted least-squares in r for heteroscedastic ...
https://stackoverflow.com/questions/18260017/how-to-set-a-weighted-least-squares-in-r-for-heteroscedastic-data
From ?lm: "weights: an optional vector of weights to be used in the fitting process. Should ...
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47 Generalized least squares (GLS regression) - StatLect
https://www.statlect.com/fundamentals-of-statistics/generalized-least-squares
The GLS estimator of the coefficients of a linear regression. How to deal with heteroskedasticity and serial correlation. Discussion, derivations, proofs ...
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48 The Method of Least Squares
https://web.williams.edu/Mathematics/sjmiller/public_html/BrownClasses/54/handouts/MethodLeastSquares.pdf
Abstract. The Method of Least Squares is a procedure to determine the best fit line to data; the proof uses simple calculus and linear algebra.
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49 17 - Weighted Least Squares (WLS) - Winona State University
http://course1.winona.edu/bdeppa/Regression/Notes/Section%2017%20-%20Weighted%20Least%20Squares%20(WLS).docx
One way to do this is to use Weighted Least Squares (WLS). ... Robust statistical methods are designed to work well when distributional assumptions are ...
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50 Linear Least-Squares Fitting — GSL 2.7 documentation
https://www.gnu.org/software/gsl/doc/html/lls.html
The data may be weighted or unweighted, i.e. with known or unknown errors. For weighted data the functions compute the best fit parameters and their associated ...
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51 Regression and smoothing > Least squares - StatsRef.com
https://www.statsref.com/HTML/least_squares.html
The data item(s) that are furthest from those predicted by this least squares model are then assigned a weighting that is less than 1 and the process is ...
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52 Geographically Weighted Regression | Columbia Public Health
https://www.publichealth.columbia.edu/research/population-health-methods/geographically-weighted-regression
GWR is an outgrowth of ordinary least squares regression (OLS); and adds a level of modeling sophistication by allowing the relationships ...
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53 Solved Show that when we do weighted least squares instead
https://www.chegg.com/homework-help/questions-and-answers/show-weighted-least-squares-instead-weighting-1-c-2-1-1-c-2-n-weighted-c-2-1-c-2-n-positiv-q16926731
Question: Why does weighted least squares work as an estimator to overcome heteroscedasticity? (Hint, not the How but the Why.) · This problem has been solved!
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54 Weighted least squares estimators in possibly misspecified ...
https://web.stat.tamu.edu/~uschi/research/m-misspecified.pdf
Both estimators are consistent estimators of ϑ if the linear regression model is true, r(X, Z) = ϑX, but not efficient in this model since they do not use the ...
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55 Optimal weighted least-squares methods
https://smai-jcm.centre-mersenne.org/item/10.5802/smai-jcm.24.pdf
probability for weighted least squares in general approximation spaces Vm. These ... In our subsequent analysis, we sometimes work under the assumption of a ...
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56 Weighted Least Squares Support Vector Machines
http://www.yaroslavvb.com/papers/suykens-weighted.pdf
We show how to obtain robust estimates for regression by applying a weighted version of LS-SVM. We also discuss a sparse approximation procedure for weighted ...
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57 Ordinary Least Squares Regression explained visually
https://setosa.io/ev/ordinary-least-squares-regression/
Now, real scientists and even sociologists rarely do regression with just one independent variable, but OLS works exactly the same with more. Below is OLS with ...
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58 A weighted least squares method for inverse dynamic analysis
https://www.tandfonline.com/doi/abs/10.1080/10255840701550865
by AJ van den Bogert · 2008 · Cited by 49 —
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59 Section 7: GLS - Ed Rubin
http://edrub.in/ARE212/Spring2017/Section07/section07.pdf
When you demean your data, you've applied the FWL theorem and do not need an intercept. ... Specifically, we will discuss weighted least squares (WLS), ...
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60 Ordinary Least Squares regression (OLS) - XLSTAT
https://www.xlstat.com/en/solutions/features/ordinary-least-squares-regression-ols
How do ordinary least squares (OLS) work? The OLS method aims to minimize the sum of square differences between the observed and predicted values. That way, the ...
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61 NLOS Identification and Weighted Least-Squares Localization ...
https://asp-eurasipjournals.springeropen.com/articles/10.1155/2008/271984
The basic idea behind the proposed WLS approaches is that smaller weights are given to the measurements which are likely to be biased (based on ...
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62 sklearn.linear_model.LinearRegression
http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LinearRegression.html
LinearRegression fits a linear model with coefficients w = (w1, …, wp) to minimize the residual sum of squares between the observed targets in the dataset, ...
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63 Improving Weighted Least Squares Inference - SSRN Papers
https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2821110
Another concern that has discouraged the use of weighting is that the weighted least squares estimator may be less efficient than the ordinary ...
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64 Robust Regression | R Data Analysis Examples
https://stats.oarc.ucla.edu/r/dae/robust-regression/
When fitting a least squares regression, we might find some outliers or high leverage data points. We have decided that these data points are not data entry ...
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65 (PDF) Application of Weighted Least Squares ... - Academia.edu
https://www.academia.edu/24980761/Application_of_Weighted_Least_Squares_Regression_in_Forecasting
Note that linear regression through the origin often works well in survey ... So, our weights in a weighted least squares regression would be ̂ .
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66 Weighted Least Squares Estimation - TU Delft OCW
https://ocw.tudelft.nl/course-lectures/weighted-least-squares-estimation/
The least squares principle allows us to estimate unknown parameters based on minimising the sum squared residuals (recall: the residuals are the deviations ...
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67 Solving the problem of heteroscedasticity through ... - Medium
https://medium.com/datamotus/solving-the-problem-of-heteroscedasticity-through-weighted-regression-e4a22f1afa6b
The issue is that the plots above use unweighted residuals; whereas, with weighted least squares, we need to use weighted residuals to evaluate ...
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68 4.2.4: Setting up weighted total-least-squares solution
https://www.coursera.org/lecture/battery-state-of-health/4-2-4-setting-up-weighted-total-least-squares-solution-gD6M3
Total capacity is often estimated using ordinary-least-squares (OLS) ... But we can actually do a little bit of work that comes up with a ...
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69 Weighted least squares methods for prediction in the ...
https://projecteuclid.org/journals/electronic-journal-of-statistics/volume-3/issue-none/Weighted-least-squares-methods-for-prediction-in-the-functional-data/10.1214/09-EJS379.pdf
Previous developments of principal components analysis for functional data play a central role in our work. Early contributions include Besse and Ramsay. (1986) ...
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70 How to understand weight variables in statistical analyses
https://blogs.sas.com/content/iml/2017/10/02/weight-variables-in-statistics-sas.html
Unweighted least-squares regression uses the "normal equations" (X`*X) beta = (X`*Y) and solves for the regression estimates, beta. Here X is ...
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71 Weighted Linear Regression - Jim Killingsworth
https://jkillingsworth.com/2018/10/31/weighted-linear-regression/
Least Squares Estimation ... If you plug in the weights and the observed values, finding the coefficients is fairly straightforward. Notice that ...
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72 st: "Weighted" least squares - Stata
https://www.stata.com/statalist/archive/2003-09/msg00137.html
Subject, st: "Weighted" least squares ... after a discussion with Stata Support, and discussions from this list, I think it does not work.
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73 Lab10.1 - Weighted Least Squares (WLS)
https://garberadamc.github.io/project-site/Lab10.1-WLS-efa-cfa-invariance
5 Model 0 - Exploratory Factor Analysis (EFA) with WLS Estimator; 6 BEGIN: SINGLE GROUP INVARIANCE ... 10.1 How does update() work with MplusAutomation?
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74 Optimal weighted least-squares methods - Archive ouverte HAL
https://hal.archives-ouvertes.fr/hal-01354003/document
In addition, note that the above theory does not cover simple situations such as algebraic polynomials over unbounded domains, for example. X = ...
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75 Weighted least squares in hierarchical regression | SPSS ...
https://community.ibm.com/community/user/datascience/discussion/weighted-least-squares-in-hierarchical-regression
Is it possible to do a Weighted Least Square in Hierarchical ... If so, how to do this? ... then WLS or ordinary regression would work.
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76 Evaluation of the weighted least squares method for the ...
https://scholarworks.umass.edu/cgi/viewcontent.cgi?article=5801&context=dissertations_1
provided resources for me to complete this work. ... estimation procedures and the weighted least squares (WLS) linear model method of.
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77 Simple Linear Regression
https://www.colorado.edu/amath/sites/default/files/attached-files/ch12_0.pdf
(b) The points in the second plot do not fall exactly on a line, but compared to overall y variability, the deviations from the least squares line are small. It ...
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78 Weighted Regression: An Intuitive Introduction
https://quantifyinghealth.com/weighted-regression/
Weighted regression (a.k.a. weighted least squares) is a regression model where each observation is given a certain weight that tells the software how ...
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79 scipy.optimize.least_squares — SciPy v1.9.3 Manual
https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.least_squares.html
Solve a nonlinear least-squares problem with bounds on the variables. ... Methods 'trf' and 'dogbox' do not count function calls for numerical Jacobian ...
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80 Semi-Global Weighted Least Squares in Image Filtering
https://openaccess.thecvf.com/content_ICCV_2017/papers/Liu_Semi-Global_Weighted_Least_ICCV_2017_paper.pdf
How- ever, most of global filters are time-consuming and some of them are also memory-consuming. The Weight Least. Squares (WLS) model has been widely used in ...
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81 CS 542G: QR, Weighted Least Squares, MLS
https://www.cs.ubc.ca/~rbridson/courses/542g-fall-2008/notes-oct6.pdf
does a very bad job of producing an orthogonal Q. The resulting loss of accuracy in the least square solve at least partly defeats the point ...
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82 What You Must Know About Weighted Linear Regression in R
https://onix-systems.com/blog/what-you-must-know-about-weighted-linear-regression-in-r
Nowadays, with programming languages and free codes, you could do so much more! You could go beyond ordinary least squares to know more about ...
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83 Iteratively Weighted Least Squares as an Alternative Frontier ...
https://kennisopenbaarbestuur.nl/media/255795/iteratively-weighted-least-squares-as-an-alternative-frontier-methodology.pdf
In this paper we are more explicit about how weights should be derived and how the weighting scheme should be chosen in order to establish SFA look-alike ...
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84 The Weighted Linear Least Squares Problem - OSTI.GOV
https://www.osti.gov/servlets/purl/5047753
This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States.
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85 Resurrecting weighted least squares - EconStor
https://www.econstor.eu/bitstream/10419/111232/1/econwp172.pdf
Resurrecting weighted least squares. Working Paper, No. 172. Provided in Cooperation with: Department of Economics, University of Zurich.
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86 Weighted-Least-Squares-for-Heteroscedasticity-Data-in-R
https://github.com/Nekooeimehr/Weighted-Least-Squares-for-Heteroscedasticity-Data-in-R
Heteroscedasticity is a major concern in linear regression models which violates the assumption that the model residuals have a constant variance and are ...
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87 Calibration Curves, Part V: Curve Weighting
https://www.chromatographyonline.com/view/calibration-curves-part-v-curve-weighting
When a least-squares linear regression is used to fit experimental data to a linear calibration curve, equal emphasis is given to the ...
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88 1 Simple Linear Regression I – Least Squares Estimation
https://users.stat.ufl.edu/~winner/qmb3250/notespart2.pdf
It can be seen that weight is a very good predictor, and that the presence of side airbags and the interaction term do not contribute much to the model. (SSE ...
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89 Optimal minimax random designs for weighted least squares ...
https://academic.oup.com/biomet/advance-article/doi/10.1093/biomet/asac016/6536960
This work studies an experimental design problem where the values of a predictor variable, denoted by x⁠, are to be determined with the goal of estimating a ...
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90 StatPlus Help - Weighted Least Squares WLS Regression
https://www.analystsoft.com/en/products/statplus/content/help/analysis_regression_weighted_least_squares_wls_regression.html
Weighted Least Squares Regression (WLS) regression is an extension of the ordinary least squares (OLS) regression that weights each observation unequally.
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91 An Algorithm for Weighted Linear Regression - CodeProject
https://www.codeproject.com/Articles/25335/An-Algorithm-for-Weighted-Linear-Regression
Most simple least squares algorithms use Gaussian Elimination to solve the simultaneous equations, since it is fast and easy to program. In fact ...
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92 Weighted least squares target location estimation in multi ...
https://onlinelibrary.wiley.com/doi/10.1049/iet-rsn.2015.0446
A weighting matrix is obtained in two different conditions in order to generate a substantial improvement in the performance of the method, ...
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93 Weighted Least Squares with Expectation-Maximization ...
https://ascelibrary.org/doi/10.1061/%28ASCE%29WR.1943-5452.0000344
Thus, the true normal flow is estimated close to the burst flow, rather than close to the last normal flow measurements. The weighted least- ...
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94 What is weighted least square method? - Draftlessig.org
https://draftlessig.org/what-is-weighted-least-square-method/
Weighted least squares (WLS), also known as weighted linear regression, is a generalization of ordinary least squares and linear regression in ...
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95 Tools of the trade: when to use those sample weights
https://blogs.worldbank.org/impactevaluations/tools-of-the-trade-when-to-use-those-sample-weights
This page in: · To correct for heteroskedasticity. All of us have likely been taught that weighted least squares (WLS) will correct for any ...
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96 weighted least squares R^2 - EViews.com
https://forums.eviews.com/viewtopic.php?t=8715
Yes by your formula. Your calculation is Willett and Singer's (Amstat Vol 42 No 3 August 1988) pseudo R^2. They do not discuss (and maybe they ...
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