# st: RE: RE: RE: RE: Bootstrapping confidence interval of mean difference

 From "Matt Spittal" <[email protected]> To <[email protected]> Subject st: RE: RE: RE: RE: Bootstrapping confidence interval of mean difference Date Mon, 18 Aug 2008 12:02:48 +1000

```Hi Sue,

Re-reading my email, I noticed a mistake in the syntax.  The line

bstat, stat(mean) n(200)

should be

bstat, stat(mean) n(74)

The -n- refers to the number of observations that the original mean was based on.

-- Matt
[email protected]

-----Original Message-----
From: [email protected]
[mailto:[email protected]]On Behalf Of Matt Spittal
Sent: Monday, 18 August 2008 11:47 AM
To: [email protected]
Subject: st: RE: RE: RE: Bootstrapping confidence interval of mean
difference

Hi Sue,

I think see what you are looking for.  If you imagine in the example below that the variable weight is the difference between two groups, then you can write your own bootstrap program.

sysuse auto, clear

// step 1
sum weight
matrix mean = r(mean)

// step 2
capture program drop bootmean
program define bootmean, rclass
version 10.1
preserve
bsample
sum weight
return scalar mean = r(mean)
restore
end

// step 3
simulate mean = r(mean), reps(100) seed(12345): bootmean
bstat, stat(mean) n(200)
estat bootstrap, all

You can compare this to the ususal confidence interval by typing

ci weight

This sort of thing is covered very well on the website below

http://www.ats.ucla.edu/stat/Stata/faq/ownboot.htm

Efron, B. and Tibshirani, R. J. (1993) An Introduction to the Bootstrap. Chapman & Hall/CRC Press is well worth reading also.

-- Matt
[email protected]

-----Original Message-----
From: [email protected]
[mailto:[email protected]]On Behalf Of Susan Maree
Cotton
Sent: Monday, 18 August 2008 11:27 AM
To: [email protected]
Subject: st: RE: RE: Bootstrapping confidence interval of mean
difference

Hi Matt,

Thanks for your response.  I had thought of the approach below but
envisaged some difficulties with the estimation.  The bootstap would be
based on sampling from one group and not two independent groups, and
each time a new sample is bootstrapped there may be different numbers in
the two groups? Given that standard error is based on n couldn't this be
a problem.

KR

Sue

Dr Sue Cotton
Senior Research Fellow
ORYGEN Research Centre
Department of Psychiatry
University of Melbourne
Locked Bag 10 (35 Poplar Road)
Parkville Victoria
Australia 3052
Phone: +61 3 9342-2859
Fax:      +61 3 9342-2941
Mobile:  0407-340-115
[email protected]

-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Matt Spittal
Sent: Monday, 18 August 2008 11:07 AM
To: [email protected]
Subject: st: RE: Bootstrapping confidence interval of mean difference

Hi Susan,

An equivalent method would be to use linear regression with dummy coding
for the treatment groups.  Ignoring the issue of bootstrapping, in Stata
this would be:

sysuse auto, clear
xi: regress weight i.foreign

where -xi- expands terms containing categorical variables into indicator
variables, and -i.foreign- is the indicator of treatment assignment.  If
you type

ttest weight, by(foreign)

you can see the estimate of the mean difference is the same as the beta
for _Iforeign_1 from the regression.

To bootstrap the standard errors type

xi: bootstrap, seed(12345) reps(100): regress weight i.foreign

which will give the confidence intervals you desire. Setting the seed
ensures that you can reproduce the results later. The -reps- command
sets the number of repetitions.

-- Matt
[email protected]

-----Original Message-----
From: [email protected]
[mailto:[email protected]]On Behalf Of Susan Maree
Cotton
Sent: Monday, 18 August 2008 10:48 AM
To: [email protected]
Subject: st: Bootstrapping confidence interval of mean difference
Importance: High

Hi All,
I have data from a randomized clinical trial with intervention and
treatment as usual groups. The outcome data is cost-effectiveness data.
Reviewers of a manuscript pertaining to data from this trial have
requested that the bootstrapped confidence interval of the mean
difference between groups be reported.
I am a new user to STATA and have been having difficulties determining
the correct commands to generate these confidence intervals.  I have
worked out how to bootstrapping for the confidence intervals of the
means for the two groups separately and to bootstrap the t-distribution
pertaining to difference between groups but cannot work out the
KR
Sue

Dr Sue Cotton
Senior Research Fellow
ORYGEN Research Centre
Department of Psychiatry
University of Melbourne
Locked Bag 10 (35 Poplar Road)
Parkville Victoria
Australia 3052
Phone: +61 3 9342-2859
Fax:      +61 3 9342-2941
Mobile:  0407-340-115
[email protected]

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