Hello Bill; If you want to look at any index of similarity you can not ignore the concept of correction for chance agreement as these indices measure agreement between two clusterings or partitions of the data. Hubert and Arabie (1985) and Morey and Agresti (1984) offered correction for Rand index for chance agreement. The reason for that is correction for chance agreement improves the performance of the index, in the sense that when there is no clustering structure it gives a value close to zero and a value of unity for identical partitions. In a paper I wrote in 2006 (find below the citation) I proved that Kulczinski's index is identical to McConnaughy (1964) index once corrected for chance agreement hence the choice of the index becomes irrelevant, see also other interesting results in the paper. In no software you will find the Kulczynski's index calculated with correction for chance agreement. Of course you can find it in the R software in the package "simba". If you like I am willing to send you a piece of R code that calculates the corrected Kulczynski's index for chance agreement.
see the paper in the Journal of Classifcation Volume 23 issue 1 (2006) by Albatineh et al. my only two cents Ahmed Albatineh, PhD Assistant Professor of Biostatistics Department of Epidemiology and Biostatistics Florida International University University Park Campus 11200 SW 8th Street Miami, Florida 33199 --- On Mon, 11/9/09, Richard Wright <[email protected]> wrote: From: Richard Wright <[email protected]> Subject: Re: Kulczynski's quantitative symmetric measure To: [email protected] Date: Monday, November 9, 2009, 7:10 PM The second of these coefficients is also available in the freely distributable package PAST. Richard ----- Original Message --------------- Subject: Re: Kulczynski's quantitative symmetric measure From: "F. James Rohlf" <[email protected]> Date: Mon, 9 Nov 2009 12:22:06 -0500 To: [email protected] >See: > > Kulczynski, S. 1927. Die Pflanzenassoziationen der Pienienen. Bull. >Intern. Acad. Pol. Sci. Lett. Cl. Sci. Math. Nat., B (Sci. Nat.), 1927 >(Suppl. 2):57-203. > > > >There are actually two coefficients. The first is the number of positive >matches divided by the number of mismatches. The second is the average of >the proportion of matches for the first object and the proportion of matches >for the second object. > > > >They are available in the NTSYSpc software. > > > >Jim > > > >---------------------- > >F. James Rohlf, Distinguished Professor > >Dept. Ecology and Evolution, Stony Brook University, NY 11794-5245 > > > >From: Classification, clustering, and phylogeny estimation >[mailto:[email protected]] On Behalf Of Shannon, William >Sent: Monday, November 09, 2009 11:42 AM >To: [email protected] >Subject: Kulczynski's quantitative symmetric measure > > > >Who has heard of Kulczynski's quantitative symmetric measure. Not finding a >lot yet in my online search. It was suggested as a possible measure for >some genetic data we are generating. > > > > > > > >Thank you. > > > >Bill Shannon, PhD > >Associate Professor of Biostatistics in Medicine > >Washington University School of Medicine > >St. Louis, MO > > > >314-454-8356 > >[email protected] > > > >---------------------------------------------- CLASS-L list. Instructions: >http://www.classification-society.org/csna/lists.html#class-l > > >---------------------------------------------- >CLASS-L list. >Instructions: http://www.classification-society.org/csna/lists.html#class-l > >--Boundary_(ID_xXsnq9qNo3EaNLAcmZMHSw) >Content-type: text/html; charset=US-ASCII >Content-transfer-encoding: 7BIT > ><html xmlns:v="urn:schemas-microsoft-com:vml" >xmlns:o="urn:schemas-microsoft-com:office:office" >xmlns:w="urn:schemas-microsoft-com:office:word" >xmlns:m="http://schemas.microsoft.com/office/2004/12/omml"; >xmlns="http://www.w3.org/TR/REC-html40";> > ><head> ><meta http-equiv=Content-Type content="text/html; charset=us-ascii"> ><meta name=Generator content="Microsoft Word 12 (filtered medium)"> ><style> ><!-- > /* Font Definitions */ > @font-face > {font-family:"Cambria Math"; > panose-1:2 4 5 3 5 4 6 3 2 4;} >@font-face > {font-family:Calibri; > panose-1:2 15 5 2 2 2 4 3 2 4;} >@font-face > {font-family:Tahoma; > panose-1:2 11 6 4 3 5 4 4 2 4;} > /* Style Definitions */ > p.MsoNormal, li.MsoNormal, div.MsoNormal > {margin:0in; > margin-bottom:.0001pt; > font-size:11.0pt; > font-family:"Calibri","sans-serif";} >a:link, span.MsoHyperlink > {mso-style-priority:99; > color:blue; > text-decoration:underline;} >a:visited, span.MsoHyperlinkFollowed > {mso-style-priority:99; > color:purple; > text-decoration:underline;} >span.EmailStyle17 > {mso-style-type:personal; > font-family:"Calibri","sans-serif"; > color:windowtext;} >span.apple-style-span > {mso-style-name:apple-style-span;} >span.EmailStyle19 > {mso-style-type:personal-reply; > font-family:"Calibri","sans-serif"; > color:#1F497D;} >.MsoChpDefault > {mso-style-type:export-only; > font-size:10.0pt;} >@page Section1 > {size:8.5in 11.0in; > margin:1.0in 1.0in 1.0in 1.0in;} >div.Section1 > {page:Section1;} >--> ></style> ><!--[if gte mso 9]><xml> > <o:shapedefaults v:ext="edit" spidmax="1026" /> ></xml><![endif]--><!--[if gte mso 9]><xml> > <o:shapelayout v:ext="edit"> > <o:idmap v:ext="edit" data="1" /> > </o:shapelayout></xml><![endif]--> ></head> > ><body lang=EN-US link=blue vlink=purple> > ><div class=Section1> > ><p class=MsoNormal style='mso-margin-top-alt:3.75pt;margin-right:6.75pt; >margin-bottom:0in;margin-left:6.0pt;margin-bottom:.0001pt;text-autospace:none'><span >style='color:#1F497D'>See:<o:p></o:p></span></p> > ><p class=MsoNormal style='mso-margin-top-alt:3.75pt;margin-right:6.75pt; >margin-bottom:0in;margin-left:6.0pt;margin-bottom:.0001pt;text-autospace:none'> Kulczynski, >S. 1927. Die Pflanzenassoziationen der Pienienen. Bull. Intern. Acad. >Pol. Sci. Lett. Cl. Sci. Math. Nat., B (Sci. Nat.), 1927 (Suppl. >2):57-203.<o:p></o:p></p> > ><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p> > ><p class=MsoNormal><span style='color:#1F497D'>There are actually two >coefficients. The first is the number of positive matches divided by the number >of mismatches. The second is the average of the proportion of matches for the >first object and the proportion of matches for the second >object.<o:p></o:p></span></p> > ><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p> > ><p class=MsoNormal><span style='color:#1F497D'>They are available in the >NTSYSpc software.<o:p></o:p></span></p> > ><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p> > ><p class=MsoNormal><span style='color:#1F497D'>Jim<o:p></o:p></span></p> > ><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p> > ><div> > ><p class=MsoNormal><span >style='color:#1F497D'>----------------------<o:p></o:p></span></p> > ><p class=MsoNormal><span style='color:#1F497D'>F. James Rohlf, Distinguished >Professor<o:p></o:p></span></p> > ><p class=MsoNormal><span style='color:#1F497D'>Dept. Ecology and Evolution, >Stony Brook University, NY 11794-5245<o:p></o:p></span></p> > ></div> > ><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p> > ><div> > ><div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0in 0in >0in'> > ><p class=MsoNormal><b><span >style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'>From:</span></b><span >style='font-size:10.0pt;font-family:"Tahoma","sans-serif"'> Classification, >clustering, and phylogeny estimation [mailto:[email protected]] <b>On >Behalf Of </b>Shannon, William<br> ><b>Sent:</b> Monday, November 09, 2009 11:42 AM<br> ><b>To:</b> [email protected]<br> ><b>Subject:</b> Kulczynski's quantitative symmetric >measure<o:p></o:p></span></p> > ></div> > ></div> > ><p class=MsoNormal><o:p> </o:p></p> > ><p class=MsoNormal>Who has heard of <span class=apple-style-span><span >style='font-size:10.5pt;font-family:"Arial","sans-serif"'>Kulczynski’s >quantitative symmetric measure. Not finding a lot yet in my online >search. It was suggested as a possible measure for some genetic data we >are generating.<o:p></o:p></span></span></p> > ><p class=MsoNormal><o:p> </o:p></p> > ><p class=MsoNormal><o:p> </o:p></p> > ><p class=MsoNormal><span >style='font-family:"Arial","sans-serif";color:black'><o:p> </o:p></span></p> > ><p class=MsoNormal><span >style='font-family:"Arial","sans-serif";color:black'>Thank >you.</span><span >style='font-family:"Arial","sans-serif";color:#1F497D'><o:p></o:p></span></p> > ><p class=MsoNormal><span >style='font-family:"Arial","sans-serif";color:#1F497D'><o:p> </o:p></span></p> > ><p class=MsoNormal><span >style='font-family:"Arial","sans-serif";color:black'>Bill >Shannon, PhD</span><span >style='font-family:"Arial","sans-serif";color:#1F497D'><o:p></o:p></span></p> > ><p class=MsoNormal><span style='font-family:"Arial","sans-serif"'>Associate >Professor >of Biostatistics in Medicine<o:p></o:p></span></p> > ><p class=MsoNormal><span style='font-family:"Arial","sans-serif"'>Washington >University School of Medicine<o:p></o:p></span></p> > ><p class=MsoNormal><span style='font-family:"Arial","sans-serif"'>St. Louis, >MO<o:p></o:p></span></p> > ><p class=MsoNormal><span >style='font-family:"Arial","sans-serif"'> <o:p></o:p></span></p> > ><p class=MsoNormal><span >style='font-family:"Arial","sans-serif"'>314-454-8356<o:p></o:p></span></p> > ><p class=MsoNormal><span >style='font-family:"Arial","sans-serif";color:#1F497D'><a >href="mailto:[email protected]";>[email protected]</a><o:p></o:p></span></p> > ><p class=MsoNormal><o:p> </o:p></p> > ><p class=MsoNormal><span style='font-size:12.0pt;font-family:"Times New >Roman","serif"'>---------------------------------------------- >CLASS-L list. Instructions: >http://www.classification-society.org/csna/lists.html#class-l ><o:p></o:p></span></p> > ></div> > ></body> > ></html> >---------------------------------------------- >CLASS-L list. >Instructions: http://www.classification-society.org/csna/lists.html#class-l > >--Boundary_(ID_xXsnq9qNo3EaNLAcmZMHSw)-- ---------------------------------------------- CLASS-L list. Instructions: http://www.classification-society.org/csna/lists.html#class-l ---------------------------------------------- CLASS-L list. Instructions: http://www.classification-society.org/csna/lists.html#class-l
