959:. The correlation ratio statistic and its population analogue are the same as the ICC (more specifically, the statistic is one of several ICC's in use, and the population value is identical). This particular use of the ICC is different from the usual uses of the ICC, so I would propose adding a new section to the ICC page explaining how the ICC can be used to identify non-linear relationships when data are observed with replication, and stating that the term "correlation ratio" is sometimes used when the ICC is applied in this way.
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If you understand this thoroughly, please help improving this article and put it more clearly. I am very unhappy with this sentence, since I am not understanding it. I do not want to remove it, since there needs to be a reference made to the correlation coefficient and it seems that the original
516:
The use of the sigma's implies that we should be dealing with standard deviations here. However, substituting their definition does not yield the given equation. Also it is not very clear to me, what standard deviation is precisely meant in the numerator. I tried interpreting it as the standard
160:
This is really part of a wider problem: currently large areas of the topic of statistics are very deficiently treated on
Knowledge. A few statistics articles are really good, some others are quite competent, but many are skimpy stubs, and this is one of those. I may return here.
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This article is incomprehensible to anyone unfamiliar with advanced statistical notation. It could be repaired with a concrete example and an intuitive, rather than symbolic or mathematical explanation. A graph or two would also help a lot. --
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433:{\displaystyle \eta ^{2}={\frac {\sum _{x}n_{x}({\overline {y}}_{x}-{\overline {y}})^{2}}{\sum _{xi}(y_{xi}-{\overline {y}})^{2}}}}
81:
58:
839:{\displaystyle {\sigma _{\overline {y}}}^{2}={\frac {\sum _{x}n_{x}({\overline {y}}_{x}-{\overline {y}})^{2}}{\sum _{x}n_{x}}}}
258:, otherwise the correlation ratio will be larger in magnitude. It can therefore be used for judging non-linear relationships.
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deviation of the category means, but it failed to yield the stated equation. Correct me, if I am wrong.
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I've tried unsuccessfully to add a link to the same page in
Spanish. Could someone do it? thanks
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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It doesn't look so bad to me, though there might be a need for further description. Clearly
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Looks convincing to me. So, if you want to include it with the appropriate definition of
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I have taken the later of the two following statements out, since I think it is wrong.
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629:{\displaystyle {\sigma _{y}}^{2}={\frac {\sum _{xi}(y_{xi}-{\overline {y}})^{2}}{n}}}
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needs a definition. I would guess it was intended to be a weighted variance, using
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author knew about it. It would just be nice to convey this message comprehensively.
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is linear (which is certainly true when there are only two possibilities for
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506:{\displaystyle {\frac {{\sigma _{\overline {y}}}^{2}}{{\sigma _{y}}^{2}}}.}
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It is worth noting that if the relationship between values of
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254:) this will give the same result as the square of the
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poorly explained. --Eequor 03:39, 22 Aug 2004 (UTC)
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955:I have proposed that this article be merged into
907:{\displaystyle {\sigma _{\overline {y}}}^{2}}
675:{\displaystyle {\sigma _{\overline {y}}}^{2}}
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187:Anyone understands this thoroughly?
38:It is of interest to the following
1014:Low-importance Statistics articles
957:intraclass correlation coefficient
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851:Then division gives the result --
172:Please include more information
99:Knowledge:WikiProject Statistics
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176:I have attempted an example --
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443:which might be written as
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969:01:35, 15 June 2009 (UTC)
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974:Links to other languages
256:correlation coefficient
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82:WikiProject Statistics
28:This article is rated
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702:{\displaystyle n_{x}}
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209:{\displaystyle x\;\ }
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145:Cleanup request
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121:Low-importance
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980:— Preceding
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30:Start-class
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96:Statistics
87:statistics
59:Statistics
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961:Skbkekas
853:Rumping
519:Tomeasy
265:Tomeasy
178:Rumping
123:on the
152:Beland
36:scale.
990:talk
965:talk
857:talk
641:But
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269:talk
115:Low
1005::
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967:)
923:ea
921:om
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884:σ
859:)
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988:(
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937:C
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331:(
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305:=
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267:(
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227:y
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127:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
