Re: Error Bars ( 95 % CI or SE) ("Witteman, J." )


Subject: Re: Error Bars ( 95 % CI or SE)
From:    "Witteman, J."  <j.witteman@xxxxxxxx>
Date:    Mon, 19 Dec 2011 19:02:30 +0100
List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>

This is a multi-part message in MIME format. ------_=_NextPart_001_01CCBE78.60151437 Content-Type: multipart/alternative; boundary="----_=_NextPart_002_01CCBE78.60151437" ------_=_NextPart_002_01CCBE78.60151437 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable Actually, it is a widespread myth that overlapping 95% CI's of two = independent means indicate that the means are not significantly = different at alpha=3D0.05. When the CI's do not overlap, the means are = indeed significantly different at alpha=3D0.05, but when the CI do = overlap this does NOT indicate that the means or not significantly = different at that alpha level. Therefore you can question the = informativeness of this method (it might be more informative to just = give the effect size and its confidence interval).=20 For further reading, see attached pfd. Best, Jurriaan Witteman PhD-student =20 -----Oorspronkelijk bericht----- Van: AUDITORY - Research in Auditory Perception namens Rowan D. Verzonden: ma 12/19/2011 5:59 Aan: AUDITORY@xxxxxxxx Onderwerp: Re: Error Bars ( 95 % CI or SE) =20 A belated addition: it is sometimes the case that neither the SEs nor = the CIs of the means of two conditions are particularly important or = informative (over and above a description of the distributions) but = rather that the SE or CI of the mean *difference* between the two = conditions is important and informative thing to present and discuss. = Cheers, Daniel From: AUDITORY - Research in Auditory Perception = [mailto:AUDITORY@xxxxxxxx On Behalf Of Kim White Sent: 11 December 2011 09:53 To: AUDITORY@xxxxxxxx Subject: Re: Error Bars ( 95 % CI or SE) Coming back to the original question: CI's are calculated with a formula with the CE in it... They are = different ways of plotting the same results. Best, Kim White 2011/12/11 Stuart Rosen <s.rosen@xxxxxxxx<mailto:s.rosen@xxxxxxxx>> Let me put forward a dissenting opinion. What you should display in your = graph is neither of these but a boxplot which will give a true picture = of the distribution of values that you found rather than a statistical = inference which depends as much on the number of participants you used = as any difference in performance between the two groups. You are going = to do a statistical test anyway (and you could quote an effect size) so = why waste the opportunity to give more information? Yours - Stuart Rosen On 11/12/2011 01:18, Vijay M R Marimuthu wrote: When we have a d' group result (between 2 experiments), A. Which ERROR BAR is most appropriate to use (Binomial Distribution) ? 95 % confidence Interval or Standard Errors of the Mean. ------_=_NextPart_002_01CCBE78.60151437 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN"> <HTML> <HEAD> <META HTTP-EQUIV=3D"Content-Type" CONTENT=3D"text/html; = charset=3Diso-8859-1"> <META NAME=3D"Generator" CONTENT=3D"MS Exchange Server version = 6.5.7651.53"> <TITLE>RE: Error Bars ( 95 % CI or SE)</TITLE> </HEAD> <BODY> <!-- Converted from text/plain format --> <P><FONT SIZE=3D2>Actually, it is a widespread myth that overlapping 95% = CI's of two independent means indicate that the means are not = significantly different at alpha=3D0.05. When the CI's do not overlap, = the means are indeed significantly different at alpha=3D0.05, but when = the CI do overlap this does NOT indicate that the means or not = significantly different at that alpha level. Therefore you can question = the informativeness of this method (it might be more informative to just = give the effect size and its confidence interval).<BR> <BR> For further reading, see attached pfd.<BR> <BR> Best,<BR> <BR> Jurriaan Witteman<BR> PhD-student&nbsp;<BR> <BR> -----Oorspronkelijk bericht-----<BR> Van: AUDITORY - Research in Auditory Perception namens Rowan D.<BR> Verzonden: ma 12/19/2011 5:59<BR> Aan: AUDITORY@xxxxxxxx<BR> Onderwerp: Re: Error Bars ( 95 % CI or SE)<BR> <BR> A belated addition: it is sometimes the case that neither the SEs nor = the CIs of the means of two conditions are particularly important or = informative (over and above a description of the distributions) but = rather that the SE or CI of the mean *difference* between the two = conditions is important and informative thing to present and discuss. = Cheers, Daniel<BR> <BR> From: AUDITORY - Research in Auditory Perception [<A = HREF=3D"mailto:AUDITORY@xxxxxxxx">mailto:AUDITORY@xxxxxxxx<= /A>] On Behalf Of Kim White<BR> Sent: 11 December 2011 09:53<BR> To: AUDITORY@xxxxxxxx<BR> Subject: Re: Error Bars ( 95 % CI or SE)<BR> <BR> Coming back to the original question:<BR> CI's are calculated with a formula with the CE in it... They are = different ways of plotting the same results.<BR> <BR> Best, Kim White<BR> 2011/12/11 Stuart Rosen &lt;s.rosen@xxxxxxxx&lt;<A = HREF=3D"mailto:s.rosen@xxxxxxxx">mailto:s.rosen@xxxxxxxx</A>&gt;&gt;<BR= > Let me put forward a dissenting opinion. What you should display in your = graph is neither of these but a boxplot which will give a true picture = of the distribution of values that you found rather than a statistical = inference which depends as much on the number of participants you used = as any difference in performance between the two groups. You are going = to do a statistical test anyway (and you could quote an effect size) so = why waste the opportunity to give more information?<BR> <BR> Yours - Stuart Rosen<BR> <BR> <BR> On 11/12/2011 01:18, Vijay M R Marimuthu wrote:<BR> When we have a d' group result (between 2 experiments),<BR> A. Which ERROR BAR is most appropriate to use (Binomial Distribution) = ?<BR> 95 % confidence Interval or Standard Errors of the Mean.<BR> <BR> <BR> </FONT> </P> </BODY> </HTML> ------_=_NextPart_002_01CCBE78.60151437-- ------_=_NextPart_001_01CCBE78.60151437 Content-Type: application/pdf; name="Payton_et_al_JIS_3.34_2003.pdf" Content-Transfer-Encoding: base64 Content-Description: Payton_et_al_JIS_3.34_2003.pdf Content-Disposition: attachment; filename="Payton_et_al_JIS_3.34_2003.pdf" JVBERi0xLjQNJeLjz9MNCjEgMCBvYmoNPDwgDS9UeXBlIC9QYWdlIA0vUGFyZW50IDEwNiAwIFIg DS9SZXNvdXJjZXMgMiAwIFIgDS9Db250ZW50cyAzIDAgUiANL1RodW1iIDg5IDAgUiANL01lZGlh Qm94IFsgMCAwIDYxMiA3OTIgXSANL0Nyb3BCb3ggWyAwIDAgNjEyIDc5MiBdIA0vUm90YXRlIDAg DT4+IA1lbmRvYmoNMiAwIG9iag08PCANL1Byb2NTZXQgWyAvUERGIC9UZXh0IF0gDS9Gb250IDw8 IC9GMSAxNiAwIFIgL0YyIDE3IDAgUiAvVFQyIDExNyAwIFIgL1RUNCAxMTYgMCBSIC9UVDYgMTE0 IDAgUiAvVFQ3IDEyNyAwIFIgDS9HMSAxOCAwIFIgL0cyIDE5IDAgUiAvRzQgMjAgMCBSIC9HNSAy 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maintained by:
DAn Ellis <dpwe@ee.columbia.edu>
Electrical Engineering Dept., Columbia University