Percent change and power analysis

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SR Millis

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Apr 7, 2009, 6:14:02 PM4/7/09
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A physician is consulting with me on a clinical trial to compare the effectiveness of 2 medications to treat osteoporosis in patients with spinal cord injury (SCI). Bone loss after SCI leads to increased fracture risk in lower limbs of patients with paraplegia.

Patients will be randomized to one of 2 groups, bone mineral density (BMD) will be assessed at baseline (pre-treatment) and post-treatment.

We're currently working on the power analysis. This physician is fixated on characterizing the effect size as a percent change in BMD from baseline. I have always worked with the "raw" units of measure of the efficacy endpoint in my sample size calculations---rather than percent change, which has a highly skewed distribution, among other things.

Suggestions?

Thanks,
Scott Millis


John Sorkin

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Apr 7, 2009, 6:23:11 PM4/7/09
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Scott,
Please forward replies you receive to me; I have often been in the same situation as you and would like to know what our colleagues have today.
John

John David Sorkin M.D., Ph.D.
Chief, Biostatistics and Informatics
University of Maryland School of Medicine Division of Gerontology
Baltimore VA Medical Center
10 North Greene Street
GRECC (BT/18/GR)
Baltimore, MD 21201-1524
(Phone) 410-605-7119
(Fax) 410-605-7913 (Please call phone number above prior to faxing)

>>> SR Millis <srmi...@yahoo.com> 4/7/2009 6:14 PM >>>

Suggestions?

Thanks,
Scott Millis

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BXC (Bendix Carstensen)

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Apr 7, 2009, 6:28:55 PM4/7/09
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Take a look at the paper by Vickers and Altman: Statistics Notes: Analysing controlled trials with baseline and follow up measurements BMJ Nov 2001; 323: 1123 - 1124;
- freely available from www.bmj.com

Log-transform of the orginal data will take you to the relative scale.
This should give you most of the information you need to set up a simulation machinery to do the power (and precison, hopefully) calculations.

Best regards,
Bendix
_______________________________________________

Bendix Carstensen
Senior Statistician
Steno Diabetes Center
Niels Steensens Vej 2-4
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Denmark
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SR Millis

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Apr 7, 2009, 6:31:42 PM4/7/09
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Bendix,

I don't have any original data on which to base the simulation.

Scott Millis

Neil Shephard

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Apr 7, 2009, 6:37:50 PM4/7/09
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Maybe I'm missing something, but could you not just convert the
clinicians percentage to the change in raw units?

Obviously you'll need to know the baseline BMD for the sample, but he
should be able to provide reasonable estimates of what to expect.

Neil

--
"The combination of some data and an aching desire for an answer does
not ensure that a reasonable answer can be extracted from a given body
of data." ~ John Tukey (1986), "Sunset salvo". The American
Statistician 40(1).

Email - nshe...@gmail.com
Website - http://slack.ser.man.ac.uk/
Photos - http://www.flickr.com/photos/slackline/

Peter Flom

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Apr 7, 2009, 6:53:18 PM4/7/09
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SR Millis <srmi...@yahoo.com> wrote

>
>
>A physician is consulting with me on a clinical trial to compare the effectiveness of 2 medications to treat osteoporosis in patients with spinal cord injury (SCI). Bone loss after SCI leads to increased fracture risk in lower limbs of patients with paraplegia.
>
>Patients will be randomized to one of 2 groups, bone mineral density (BMD) will be assessed at baseline (pre-treatment) and post-treatment.
>
>We're currently working on the power analysis. This physician is fixated on characterizing the effect size as a percent change in BMD from baseline. I have always worked with the "raw" units of measure of the efficacy endpoint in my sample size calculations---rather than percent change, which has a highly skewed distribution, among other things.
>
>Suggestions?
>

Just as a sort of start of an idea .... could you use e.g. the arcsine transformation to start points and end points?

I'm not sure how that would work .... but it's a useful transformation in some cases.

Peter

Peter L. Flom, PhD
Statistical Consultant
www DOT peterflomconsulting DOT com

SR Millis

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Apr 7, 2009, 7:47:14 PM4/7/09
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Neil,

Yes, that is the approach that I'm trying to take---along with getting an estimate of variance in raw units. The physician was also characterizing the variance in terms of percent change!

Scott Millis

--- On Tue, 4/7/09, Neil Shephard <nshe...@gmail.com> wrote:

BXC (Bendix Carstensen)

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Apr 8, 2009, 3:04:44 AM4/8/09
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You need exactly the same prior information for a simulation based as fro a formula besed power calculation.
Bendix

> -----Original Message-----
> From: MedS...@googlegroups.com
> [mailto:MedS...@googlegroups.com] On Behalf Of SR Millis

> Sent: 8. april 2009 00:32
> To: MedS...@googlegroups.com
> Subject: {MEDSTATS} Re: Percent change and power analysis
>
>
>

Doug Altman

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Apr 8, 2009, 4:20:07 AM4/8/09
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See also

Vickers AJ. The use of percentage change from baseline as an outcome in a controlled trial is statistically inefficient: a simulation study. BMC Med Res Methodol. 2001;1:6.
http://www.biomedcentral.com/1471-2288/1/6

Doug

_____________________________________________________

Doug Altman
Professor of Statistics in Medicine
Centre for Statistics in Medicine
University of Oxford
Wolfson College Annexe
Linton Road
Oxford OX2 6UD

email:  doug....@csm.ox.ac.uk
Tel:    01865 284400 (direct line 01865 284401)
Fax:    01865 284424
www:     http://www.csm-oxford.org.uk/

EQUATOR Network - resources for reporting research
www: http://www.equator-network.org/



Frank

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Apr 8, 2009, 8:46:13 AM4/8/09
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Doug,

It is great to know about this paper. Andrew Vickers has written a
few small articles for medscape.com which are fantastic (see
especially his ones on data torture and the sample size samba).
Analysis of percent change is one of the great mistakes of medical
statistics. Most practitioners do not even know that one cannot
compute any summary statistics on percent change other than min and
max (without converting to log ratios). Very few clinicians seem to
know that the average of +100% and -50% change is 0%. On a deeper
level, many clinicians seem to feel that 'change' is what a parallel
group randomized trial is intended to analyze, but that violates the
spirit of the parallel group design. The only change that a parallel
group design is intended to analyze is the change from one treatment
group to another. I find that spending time on change, with all of
its problems such as regression to the mean (and computing change
without making the appropriate transformation on the raw measurements
first), gets in the way of thinking. Most clinicians don't even
bother to make a Bland-Altman plot to verify that their favorite
change score is a valid one.

We have devoted a section to this on our "Checklist for Authors" at
http://biostat.mc.vanderbilt.edu/ManuscriptChecklist

Frank Harrell

On Apr 8, 3:20 am, Doug Altman <doug.alt...@csm.ox.ac.uk> wrote:
> See also
>
> Vickers AJ. The use of percentage change from baseline as an outcome
> in a controlled trial is statistically inefficient: a simulation
> study. BMC Med Res Methodol. 2001;1:6.http://www.biomedcentral.com/1471-2288/1/6
> email:  doug.alt...@csm.ox.ac.uk
> Tel:    01865 284400 (direct line 01865 284401)
> Fax:    01865 284424
> www:    http://www.csm-oxford.org.uk/
>
> EQUATOR Network - resources for reporting research
> www: <http://www.equator-network.org/>http://www.equator-network.org/

John Sorkin

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Apr 13, 2009, 11:12:51 PM4/13/09
to MedStats
Frank,
Do you have a further explication of the problems associated with using %change or fractional change? I could use a written document to give to my boss and other folks who insist I analyze data using % or fractional change?
Thanks,
John

John David Sorkin M.D., Ph.D.
Chief, Biostatistics and Informatics
University of Maryland School of Medicine Division of Gerontology
Baltimore VA Medical Center
10 North Greene Street
GRECC (BT/18/GR)
Baltimore, MD 21201-1524
(Phone) 410-605-7119
(Fax) 410-605-7913 (Please call phone number above prior to faxing)

>>> Frank <f.ha...@vanderbilt.edu> 4/8/2009 8:46 AM >>>

Doug,

It is great to know about this paper. Andrew Vickers has written a
few small articles for medscape.com which are fantastic (see
especially his ones on data torture and the sample size samba).
Analysis of percent change is one of the great mistakes of medical
statistics. Most practitioners do not even know that one cannot
compute any summary statistics on percent change other than min and
max (without converting to log ratios). Very few clinicians seem to
know that the average of +100% and -50% change is 0%. On a deeper
level, many clinicians seem to feel that 'change' is what a parallel
group randomized trial is intended to analyze, but that violates the
spirit of the parallel group design. The only change that a parallel
group design is intended to analyze is the change from one treatment

group to another. I find that spending time on change, with all of%

Frank Harrell

Confidentiality Statement:

Frank

unread,
Apr 14, 2009, 8:59:11 AM4/14/09
to MedStats
John,

In addition to the loss of power documented in the paper provided by
Doug, the problems are many and severe. This is one of the worst of
statistical practices. We have tried to document the problems in the
web site listed below. -Frank

On Apr 13, 10:12 pm, "John Sorkin" <jsor...@grecc.umaryland.edu>
wrote:
> Frank,
> Do you have a further explication of the problems associated with using %change or fractional change? I could use a written document to give to my boss and other folks who insist I analyze data using % or fractional change?
> Thanks,
> John
>
> John David Sorkin M.D., Ph.D.
> Chief, Biostatistics and Informatics
> University of Maryland School of Medicine Division of Gerontology
> Baltimore VA Medical Center
> 10 North Greene Street
> GRECC (BT/18/GR)
> Baltimore, MD 21201-1524
> (Phone) 410-605-7119
> (Fax) 410-605-7913 (Please call phone number above prior to faxing)
>
> >>> Frank <f.harr...@vanderbilt.edu> 4/8/2009 8:46 AM >>>
>
> Doug,
>
> It is great to know about this paper.  Andrew Vickers has written a
> few small articles for medscape.com which are fantastic (see
> especially his ones on data torture and the sample size samba).
> Analysis of percent change is one of the great mistakes of medical
> statistics.  Most practitioners do not even know that one cannot
> compute any summary statistics on percent change other than min and
> max (without converting to log ratios).  Very few clinicians seem to
> know that the average of +100% and -50% change is 0%.  On a deeper
> level, many clinicians seem to feel that 'change' is what a parallel
> group randomized trial is intended to analyze, but that violates the
> spirit of the parallel group design.  The only change that a parallel
> group design is intended to analyze is the change from one treatment
> group to another.  I find that spending time on change, with all of%
> its problems such as regression to the mean (and computing change
> without making the appropriate transformation on the raw measurements
> first), gets in the way of thinking.  Most clinicians don't even
> bother to make a Bland-Altman plot to verify that their favorite
> change score is a valid one.
>
> We have devoted a section to this on our "Checklist for Authors" athttp://biostat.mc.vanderbilt.edu/ManuscriptChecklist

Frank

unread,
Apr 14, 2009, 8:59:11 AM4/14/09
to MedStats
John,

In addition to the loss of power documented in the paper provided by
Doug, the problems are many and severe. This is one of the worst of
statistical practices. We have tried to document the problems in the
web site listed below. -Frank

On Apr 13, 10:12 pm, "John Sorkin" <jsor...@grecc.umaryland.edu>
wrote:
> Frank,
> Do you have a further explication of the problems associated with using %change or fractional change? I could use a written document to give to my boss and other folks who insist I analyze data using % or fractional change?
> Thanks,
> John
>
> John David Sorkin M.D., Ph.D.
> Chief, Biostatistics and Informatics
> University of Maryland School of Medicine Division of Gerontology
> Baltimore VA Medical Center
> 10 North Greene Street
> GRECC (BT/18/GR)
> Baltimore, MD 21201-1524
> (Phone) 410-605-7119
> (Fax) 410-605-7913 (Please call phone number above prior to faxing)
>
> >>> Frank <f.harr...@vanderbilt.edu> 4/8/2009 8:46 AM >>>
>
> Doug,
>
> It is great to know about this paper.  Andrew Vickers has written a
> few small articles for medscape.com which are fantastic (see
> especially his ones on data torture and the sample size samba).
> Analysis of percent change is one of the great mistakes of medical
> statistics.  Most practitioners do not even know that one cannot
> compute any summary statistics on percent change other than min and
> max (without converting to log ratios).  Very few clinicians seem to
> know that the average of +100% and -50% change is 0%.  On a deeper
> level, many clinicians seem to feel that 'change' is what a parallel
> group randomized trial is intended to analyze, but that violates the
> spirit of the parallel group design.  The only change that a parallel
> group design is intended to analyze is the change from one treatment
> group to another.  I find that spending time on change, with all of%
> its problems such as regression to the mean (and computing change
> without making the appropriate transformation on the raw measurements
> first), gets in the way of thinking.  Most clinicians don't even
> bother to make a Bland-Altman plot to verify that their favorite
> change score is a valid one.
>
> We have devoted a section to this on our "Checklist for Authors" athttp://biostat.mc.vanderbilt.edu/ManuscriptChecklist
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