This is a slightly longer answer. For those who are not aware, the
output for a two independent-sample t-test contains *three* hypothesis
tests.   First, there is Levene's test for homogeneity of variances and
this is the "F" that Elias refers to.  To the right there are TWO rows: 
a t-test performed assuming equal variances and a second row showing the
same test conducted NOT assuming equal variables.  The PSPP output
presents this exactly as SPSS does.

My students are confused by this output; but it's probably largely due
to them being novices. I think experienced users expect the output this
way and are not confused.

I think the current labeling is clear, but I would suggest a slightly
different change with a header like (as Elias suggests) "Are equal
variances assumed?" and then having values in the rows of "Yes (equal
variances ARE assumed)" and "No (equal variances are NOT assumed)"

But it might be even clearer (if less compact) if Levene's test were
presented in an independent "box" and the t-tests were presented in
their own "box".  This is how SPSS presents Levene's and Box's tests for
multivariate tests.

Most clear of all would be to output something more textual that more
closely matches how you would report the t-test... For example, if
Levene's test were significant, then report the result NOT assuming
equal variances and report it in a format more like what they should
report:

"Levene's test was significant (F = 10.1, p < 0.01; Var(1) = 10.2,
Var(2) = 100.1) so the t-test with adjusted degrees of freedom was
interpreted and found to be significant (t(37.48) = -5, p < 0.001; M(1)
= -2.34, M(2) = 60.12)."

Or if Levene's test were not significant, then just report the standard
t-test:

"The t-test was not significant (t(39) = -0.3, ns; M(1) = 52.34, M(2) =
60.12)."

Maybe those should have effect sizes and confidence intervals as well. 
To do this, you would have to assume (or add a subcommand for the user
to specify) an alpha level. Or, I guess, with just a little more coding
you could report if the t-test were significant at the 0.05, 0.01 or
0.001 levels, as those are fairly standard.

BTW, someone might want to know this:  Levene's test is not considered
very good because it is itself very sensitive to it's own assumptions.
If you have equal samples sizes in the two groups, you may want to
simply ignore Levene's test and the adjusted t-test and report the
"standard" version (that assumed equal variance).

-Alan


On 1/4/2016 7:09 AM, Elias Estatistics wrote:
> Dear PSPP users,
>
> i wanted to suggest the following one:
>
> "
>
>  I want to suggest an edit on ttest tables on how equal variances
>      are presented!
>           Because i have made a million such tables, and every time they
>      are very hard to be fixed in a writer document,
>      and every-time i do the same thing!
>           I suggest that there is an empty cell above the position that
>      "equal variances are assumed" is placed.
>      There, this title can get (before "F"), and then in the position
>      of "equal variances are assumed" and "equal variances are not
>      assumed" be replaced by a Y or N. Much nicer i think.
>
> "
>
> I am waiting your comments on this idea.
>
> However, i suggest that a Table feature will be the best option (to
> select how a table will be presented and what features will be
> displayed)!
> I know, PSPP is missing a lot of things, yet, however, i hope in the
> future,
> that will be enriched a lot!
>
> sincerely,
> Elias Tsolis
> "EstatisticsEU"
>
> On 04/01/2016 02:59 μμ, John Darrington wrote:
>> On Mon, Jan 04, 2016 at 02:42:37PM +0200, Elias Estatistics wrote:
>>             I want to suggest an edit on ttest tables on how equal
>> variances
>>       are presented!
>>             Because i have made a million such tables, and every time
>> they
>>       are very hard to be fixed in a writer document,
>>       and every-time i do the same thing!
>>             I suggest that there is an empty cell above the position
>> that
>>       "equal variances are assumed" is placed.
>>       There, this title can get (before "F"), and then in the position
>>       of "equal variances are assumed" and "equal variances are not
>>       assumed" be replaced by a Y or N. Much nicer i think.
>>      
>> Thanks for the suggestion.
>>
>> Can you run the idea by people on pspp-users@gnu.org before we change
>> it.   It may be that other users have different ideas.
>>
>> J'
>>      
>
>
> _______________________________________________
> Pspp-users mailing list
> Pspp-users@gnu.org
> https://lists.gnu.org/mailman/listinfo/pspp-users

-- 

Alan D. Mead, Ph.D.
President, Talent Algorithms Inc.

science + technology = better workers

+815.588.3846 (Office)
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http://www.alanmead.org

Announcing the Journal of Computerized Adaptive Testing (JCAT), a
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