Electronic computers did exist in 1953. I
don't know what was the first _statistical_
use of such computers, but Tukey was associated
with computing at Princeton in the late
1940s and coined the words "bit" and "software".
Stephen Stigler wrote an article in Statistical Science
about 1991 on several uses of simulation in statistics
in the 19th century. And Student did simulation
a few years after in the first paper on t, did he not?
So simulation was not out of the question in 1953:
it was just that few statisticians had easy access to computers.
Nick
[email protected]
Newson, Roger B
>
> Thanks to Nick for the Box reference (Box, 1953), which I have
> downloaded from the JSTOR website at
>
> http://uk.jstor.org/
>
> Other references on the case against heteroskedasticity tests
> are Moser
> and Stevens (1992) and Moser (1989), who use computer
> simulation methods
> not available to George Box (through no fault of his own).
>
> Roger
>
> References
>
> Box GEP. Non-normality and tests for variances. Biometrika 1983; 40:
> 318-335.
>
> Moser BK. The two sample t-test versus Satterthwaite's approximate
> F-test. Communications in statistics - theory and methods 1989; 19:
> 3963-3975.
>
> Moser BK, Stevens GR. Homogeneity of variances in the two-sample means
> test. The American Statistician 1992; 46(1): 19-21.
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