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Topic: Coefficient of determination


In the News (Tue 14 Feb 12)

  
  Statistics 2 - Correlation Coefficient and Coefficient of Determination
exam the correlation coefficient and the coefficient of determination.
The coefficient of determination is the ratio of the explained variation to the total
The coefficient of determination represents the percent of the data that is the closest
mathbits.com /MathBits/TISection/Statistics2/correlation.htm   (502 words)

  
  Portfolio Definitions - MKW 2001
Coefficient of Alienation: "Complementing the coefficient of determination is the coefficient of alienation, also called the coefficient of non-determination.
Coefficient of Determination: "The primary meaning of the coefficient of correlation lies in the amount of variation in one variable that is accounted for by the variable it is correlated with.
The magnitude of the coefficient of determination indicates the proportion of variance in one variable, explained from knowledge of the second variable.
www.west.asu.edu /mwilliam/quantitative/definitions.htm   (630 words)

  
 Correlation
While the coefficient of covariance has no upper and lower limits, the coefficient of correlation can vary from positive one (a perfect positive relationship), through zero (no relationship), to negative one (a perfect negative relationship).
the primary meaning of the coefficient of correlation lies in the amount of variation in one variable that is accounted for by the variable it is correlated with.
Coefficient of alienation is to complement the coefficient of determination, also called the coefficient of non-determination.
www.public.asu.edu /~jwang2/portfolio/statistics/chapt9/chapt9.htm   (228 words)

  
 Questions and answers about language testing statistics: The coefficient of determination
A correlation coefficient can also turn out to be as high in a negative direction as -1.00 if the relationship is perfect and in opposite directions (as is the case in Table 1 for Tests A and C, or B and C).
The resulting coefficient of determination provides an estimate of the proportion of overlapping variance between two sets of numbers (i.e., the degree to which the two sets of numbers vary together).
In other words, a coefficient of determination of.80 can be said to represent twice as much overlapping variance between two sets of numbers as a coefficient of.40.
www.jalt.org /test/bro_16.htm   (1017 words)

  
 Determination of extinction coefficient for a protein
Absorbance assays: [absorbance at 280 nm] [absorbance at 205 nm] [extinction coefficient]
Determination of the Extinction Coefficient for a Protein of Unknown Concentration
The concentration can be determined for a solution of a pure protein with unknown extinction coefficient.
www.ruf.rice.edu /~bioslabs/methods/protein/absext.html   (223 words)

  
 Chapter 9   (Site not responding. Last check: 2007-10-10)
As a rule of thumb, correlation coefficients between.00 and.30 are considered weak, those between.30 and.70 are moderate and coefficients between.70 and 1.00 are considered high.
The magnitude of the coefficient of determination indicates the proportion of variance in one variable, explained from knowledge of the second variable.The coefficient of determination is the primary information measure within the general linear model.
The coefficient of alienation is the complement of Coefficient of Determination and is also called the coefficient of non-determination.The coefficient of alienation equals one minus the coefficient of determination.
www.public.asu.edu /~fmarti3/course/edp502/chap9.html   (337 words)

  
 bp_berenson_bbs_9|Introduction to Multiple Regression|True or False
From the coefficient of multiple determination, we cannot detect the strength of the relationship between Y and any individual independent variable.
The partial F test criterion involves determining the contribution of the regression sum of squares made by each explanatory variable after all the other explanatory variables have been included in the model.
The coefficients of partial determination measure the proportion of the variation in the dependent variable that is explained by each explanatory variable without controlling for the other explanatory variables.
wps.prenhall.com /bp_berenson_bbs_9/0,,576317-,00.utf8.html   (311 words)

  
 Coefficient of Determination R Squared   (Site not responding. Last check: 2007-10-10)
This is the coefficient of determination expressed as a percentage.
The coefficient of determination indicates how much of the total variation in the dependent variable can be accounted for by the Regression Function.
For example, a COD if.70 implies that 70% of the variation in y is accounted for by the Regression Equation.
www.qualityamerica.com /knowledgecente/knowctrCoefficient_of_Determination_R_S.htm   (74 words)

  
 ASSIGNMENT 4 – Correlation and Regression
Coefficient of determination – calculated by the square of the correlation coefficient and gives the percentage of the variation in Y that can be explained by knowing the X value.
(one way to determine the effect is to calculate the coefficient of determination – that is, if the correlation in #4 is 0.3 then the coefficient of determination is 0.09 or 9%.
If the correlation in #5 is 0.4, then the coefficient of determination is 0.16 or 16% - essentially although the correlation only changed by 0.4 – 0.3 or 0.1, the coefficient of determination went from 9% to 16% or almost doubled which is a large change)
www.wtc.edu /online/bcanada/assign5a04.htm   (1454 words)

  
 Formula
Coefficient of Determination – In general the coefficient of determination measures the amount of variation of the response variable that is explained by the predictor variable(s).
The coefficient of simple determination is denoted by r-squared and the coefficient of multiple determination is denoted by R-squared.
Determination - The percent of the variance in the dependent variable that can be explained by all of the independent variables taken together.
mtsu32.mtsu.edu:11308 /dictionary/formula.htm   (1408 words)

  
 Moderator Temperature Coefficient Abstracts
The value of the moderator temperature coefficient (MTC) of reactivity is contained in correlations between fluctuations of the neutron flux and core-exit coolant temperature.
Previous researchers have established that the value of the moderator temperature coefficient (MTC) of reactivity is contained in correlations between fluctuations of the neutron flux and core-exit coolant temperature.
This study has determined that a limitation exists on the range of MTC values for which the phase angle from noise analysis can be used to determine the MTC sign.
www.eas.asu.edu /~holbert/mtc-abs.html   (636 words)

  
 Correlation   (Site not responding. Last check: 2007-10-10)
The least squares regression line is the 'best' line for a set of points, but there will always be a least squares regression line; whether the line is 'close' to the points is another question.
Another measure of the closeness of the points to the regression line is the coefficient of determination.
r^2 = r^2 (the square of the correlation coefficient is the coefficient of determination).
www.cs.uni.edu /~campbell/stat/corr.html   (462 words)

  
 Regression
Coefficient of Determination
The concept behind this coefficient is to calculate the reduction of the error of prediction when the information provided by the x values is included in the calculation.
Thus the coefficient of determination (also sometimes called goodness of fit) specifies the amount of sample variation in y explained by x.
For simple linear regression the coefficient of determination is simply the square of the correlation coefficient between Y and
www.statistics4u.com /fundstat_eng/cc_regress_coeffdet.html   (227 words)

  
 Pearson product-moment correlation coefficient - Wikipedia, the free encyclopedia
In statistics, the Pearson product-moment correlation coefficient (sometimes known as the PMCC) (r) is a measure of the tendency of two variables X and Y measured on the same object or organism to increase or decrease together.
In general the correlation coefficient is one of the two square roots (either positive or negative) of the coefficient of determination (r
The Pearson coefficient is a statistic which estimates the correlation of the two given random variables.
en.wikipedia.org /wiki/Pearson_product-moment_correlation_coefficient   (591 words)

  
 Determination of Coefficient of Consolidation from Early Stage of Log t Plot
The standard curve-fitting methods, Casagrande's log t method and Taylor's root t method, for the determination of the coefficient of consolidation use the later part of the consolidation curve and are influenced by secondary compression effects.
Literature shows that secondary compression is concurrent with primary consolidation and that its effect is to decrease the value of the coefficient of consolidation.
coefficient of consolidation, degree of consolidation, permeability, secondary compression
www.astm.org /JOURNALS/GEOTECH/PAGES/190.htm   (239 words)

  
 Parametric Cost Estimating Handbook - Coefficient Of Correlation   (Site not responding. Last check: 2007-10-10)
The coefficient of correlation (R) measures both the strength and direction of the relationship between X and Y. The meaning of the coefficient of correlation is not as explicit as that of the coefficient of determination.
We can determine whether R is positive or negative by noting the sign of the scope of the line, or b.
R is only valuable in telling us whether we have a direct or an inverse relationship and as a general indicator of the strength of the association.
www.jsc.nasa.gov /bu2/PCEHHTML/pceh44.htm   (197 words)

  
 [No title]
This type of graph produces multiple spectral plots (for subsets of data determined by the selected categorization method) arranged in one display to allow for comparisons between the subsets of data.
One of these, where the neural network determines the "winning" neuron or neurons in the radial layer of the network, and then uses the class labels on those neurons, is described in Classification by Labeled Exemplars.
The thresholds (which are equal) are determined by calculating a ROC curve and determining the point on the curve where the ratio of false positives to false negatives equals the loss coefficient.
www.statsoft.com /textbook/glosc.html   (7574 words)

  
 Maurile Tremblay - Why The Stud RB Theory Works
The coefficient of determination (the R-squared in the upper right corner of each chart) is a measure of how far away from our regression line the individual scatter points tend to be.
If the coefficient of determination is high enough, we might, with some confidence, reasonably expect him to score between 7 and 9 points per game for the season.
If the coefficient of determination is a great deal lower, we may reasonably expect only that he'll score somewhere between 3 and 13 points per game for the season.
footballguys.com /tremblay_studrbworks.htm   (1418 words)

  
 Quiz 4 - Chapter 14
If the coefficient of determination is a positive value, then the regression equation
If the coefficient of correlation is a negative value, then the coefficient of determination
If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in the independent variable
pegasus.cc.ucf.edu /~xander/q4.html   (190 words)

  
 Title:
Objective:  To determine how many Canadian males will be discovered to have chicken pox in the years to come.
Use your graphs, tables, or your knowledge of the shape of these types of equations to determine the long-term behavior of each of your equations and state why this equation is either realistic or not realistic for extrapolation.
Objective:  To determine how many Canadian females will be discovered to have chicken pox in the years to come.
www.ac.cc.md.us /Department/math/pox.htm   (1735 words)

  
 Correlation Coefficient (r) and Linear Regression
The correlation coefficient is strictly a measure of association, not a measure of causality.
The correlation coefficient is ineffective when the total number of observations in the study are small.
The coefficient of determination (r2) is the square of the correlation coefficient (r), and represents the proportion of the total variation in a dependent variable that is determined (explained) by, or associated with, the independent variable.
www.nbizz.com /epireview/page1.html   (670 words)

  
 Words that may be important to your understanding of multiple regression   (Site not responding. Last check: 2007-10-10)
: Type of measure of the coefficient of determination that takes the number of independent variables into account that are already included in the regression equation.
The greater the coefficient, the more variance is accounted for.
Stepwise estimation allows for independent variables to be removed from the equation if their partial correlation coefficient falls below the significance level.
www.richmond.edu /~pli/psy538/multiplereg02/vocabulary.html   (300 words)

  
 Coefficient of Determination   (Site not responding. Last check: 2007-10-10)
And so the idea about using the coefficient of determination is, when somebody’s talking about that they have one measure to predict some sort of an outcome, that measure is much more valuable if it’s shown to have a really high correlation between whatever it’s predicting and the real thing.
Now if I use the coefficient of determination R =r squared =.3 squared =.09 = 9% what they have in common.
When something is determined to be a statistically significant finding, what the investigator is saying is what I observed could occur by chance so infrequently, such an unlikely chance occurrence, then I’m quite sure that something acted upon those results to make that happen.
interwork.sdsu.edu /courses/petair/pet_d/transcripts/coefficient.html   (1984 words)

  
 Stats: Coefficient of Determination
The coefficient of non-determination was used in the t-test to see if there was significant linear correlation.
The standard error of the estimate is the square root of the coefficient of non-determination divided by it's degrees of freedom.
The following only works when the sample size is large.
www.richland.edu /james/lecture/m170/ch11-rsq.html   (259 words)

  
 Quantitative Materials: 7
The advantage of the correlation coefficient, r, is that it can have either a positive or a negative sign and thus provide an indication of the positive or negative direction of the correlation.
However, you will need to have at least the general concept of it; so keep in mind as we proceed through the next few paragraphs that covariance is a measure of the degree to which two variables, X and Y, co-vary.
In its underlying logic, the Pearson product-moment correlation coefficient comes down to a simple ratio between (i) the amount of covariation between X and Y that is actually observed, and (ii) the amount of covariation that would exist if X and Y had a perfect (100%) positive correlation.
faculty.vassar.edu /lowry/qm7.html   (2011 words)

  
 [No title]
The Kendall Coefficient of Concordance says that the degree of agreement on a zero to one scale is EMBED EQUATION .
Similarly in multiple regression, lack of movement of the independent variables relative to one another leaves the regression process unable to tell what changes in the dependent variable are due to the various independent variables.
Example: Note that in the printout in section 5, the standard deviations for the coefficients of  EMBED Equation.3 and  EMBED Equation.3  are quite large, resulting in small t-ratios and p-values which lead us to believe that the coefficients are not even significant when the significance level is 10%.
courses.wcupa.edu /rbove/eco252/252corr.doc   (1926 words)

  
 On the sample distribution of the adjusted coefficient of determination (R2Adj) in OLS -- from Mathematica Information ...
On the sample distribution of the adjusted coefficient of determination (R2Adj) in OLS
In specification search, one invariably meets with the coefficient of determination R2.
Minimizing the sum of squares of the errors is equivalent to maximizing R2.
library.wolfram.com /infocenter/MathSource/6269   (192 words)

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