Transforming into normal distro

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Transforming into normal distro

Marc Feuerstein
Hello everybody.

I made the K-S test on the dependent variable and saw that it is not
normally distributed (Asymp. Sig. = 0,000).

Is there a data transformation or some magical incantation that exists
somewhere to transform this data into a normally distributed set ?

Bye,

Marc.
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Re: Transforming into normal distro

Spousta Jan
Hi Marc,

The best possible try is to use normal scores RANK ... /NORMAL.

GET FILE='C:\Program Files\SPSS\Cars.sav'.
NPAR TESTS
  /K-S(NORMAL)= weight
  /MISSING ANALYSIS.
RANK
  VARIABLES=weight  (A) /NORMAL /PRINT=YES
  /TIES=MEAN /FRACTION=BLOM .
NPAR TESTS
  /K-S(NORMAL)= Nweight
  /MISSING ANALYSIS.

But beware:
1) The transformation is generally very much non-linear and hard to
generalize
2) In some cases (discrete variables) it is impossible to obtain a
normal distribution even with this method.

Usually one rather tries "standard" transformations (log, 1/x, exp,
arctg...) to obtain something more Gaussian (even if not perfect
Gaussian) or uses non-parametric methods which does not require
normality.

Greetings

Jan

-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
Marc
Sent: Monday, July 31, 2006 1:13 PM
To: [hidden email]
Subject: Transforming into normal distro

Hello everybody.

I made the K-S test on the dependent variable and saw that it is not
normally distributed (Asymp. Sig. = 0,000).

Is there a data transformation or some magical incantation that exists
somewhere to transform this data into a normally distributed set ?

Bye,

Marc.
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Re: Transforming into normal distro

William B. Ware
In reply to this post by Marc Feuerstein
Marc,

The assumption of normality pertains to the "conditioned" dependent
variable, or the residuals... not to the dependent variable itself... What
do your residuals look like?

wbw

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On Mon, 31 Jul 2006, Marc wrote:

> Hello everybody.
>
> I made the K-S test on the dependent variable and saw that it is not
> normally distributed (Asymp. Sig. = 0,000).
>
> Is there a data transformation or some magical incantation that exists
> somewhere to transform this data into a normally distributed set ?
>
> Bye,
>
> Marc.
>