[R] Perform one-way ANOVA using standard deviation and mean

[Greg Snow]

Another approach (still using the theory of sufficient statistics) is to generate data from a normal distribution that matches exactly the sizes, means, and standard deviations that you have, then analyze the simulated data.

The mvrnorm function in the MASS package can generate data with a given mean and standard deviation.  If you don't want to use that, tools like rnorm, apply, sweep, scale, and ave can also be used to create data with the given means and sds.

-- 
Gregory (Greg) L. Snow Ph.D.
Statistical Data Center
Intermountain Healthcare
greg.snow at imail.org
801.408.8111

> -----Original Message-----
> From: r-help-bounces at r-project.org [mailto:r-help-bounces at r-
> project.org] On Behalf Of Rao, Niny
> Sent: Monday, February 07, 2011 7:18 PM
> To: David Winsemius
> Cc: r-help at r-project.org
> Subject: Re: [R] Perform one-way ANOVA using standard deviation and
> mean
> 
> 
> 
> On Monday2/7/11 9:09 PM, "David Winsemius" <dwinsemius at comcast.net>
> wrote:
> 
> >
> >On Feb 7, 2011, at 8:15 PM, Rao, Niny wrote:
> >
> >> Hi! I need to perform ANOVA on a couple of data sets. The only
> >> information I have are N, Mean and Standard deviation. I am very new
> >> to R, so can someone point me to the right direction on where to go?
> >
> >Here are my data
> 
> ID Mean SD Coef of Var
> 62L 121.60 6.21 5.10
> 94D 115.92 3.22 2.78
> 14F 86.51 3.17 3.66
> 11P 126.71 5.45 4.30
> 10L 116.67 2.17 1.86
> 96T 98.20 1.38 1.41
> 55U 125.93 3.69 2.93
> 79X 93.73 5.86 6.25
> 55L 84.24 2.52 2.99
> 59Q 128.72 0.74 0.58
> 56S 121.12 1.07 0.89
> 
> 
> 
> Sincerely
> Niny Rao, PhD
> Philadelphia University
> 
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