Re: Statistical Conventions in Social Science papers?



"Reef Fish" <large_nassua_grouper@xxxxxxxxx> wrote in
news:1167337286.578317.202960@xxxxxxxxxxxxxxxxxxxxxxxxxxx:

There are many in THIS group, from
Portuguese to American posters who do not know the meaning
of p-values. The lean on computer manuals that make errors
and assume that a "canned program sold for money" must be
correct, or something to that fallacious effect.


There are many in this group who disagree with Reef Fish's posting from
September. Every textbook consulted disagreed. Reef Fish even disagreed
with himself when he posted recently.
<news:1166657003.755651.226940@xxxxxxxxxxxxxxxxxxxxxxxxxxx>

One person cited SPSS, I cited a function in R (not sold for money). I
also cited textbooks:
copying from
<news:Xns9832DF4EC07dwtttttt@xxxxxxxxxxxxxx>

--------definitons from math stats texts------------
Cox and Hinkley says a "level of significance" p_obs is defined as:
p_obs= Pr(T >= t_obs;H0)

Kalbfleisch uses significance level as
SL == Pr(D>= D_obs|H0)

DeGroot defined p-value is sup(Pr(T >= t|theta))

As I read the three authorities above, they agree with RFB's disputants
who would use the language "equal to or more extreme than".

Freund says that the [left] critical region of size alpha/2 is
X <= K_alpha ; where K_alpha is the largest integer for which

sum(Pr(Bin(y;n,theta)) <= alpha/2

As I read Freund, he also disagrees with RFB, because the first integer
for which sum Pr(...) is greater than 0.025 in the series above is X = 3,
so X=2 is in the critical region (where p-value <0.025).
-----------------------------------------------------------

Reef Fish is just trolling again from his reef in the Sea of Zero
Probability. What's the p-value for a pair of die that comes up snake
eyes, RF_Bob? P-value equal zero? What's the sum of the p-values over all
possible outcomes of throws times their expected values in that
formulation. A probability less than one? How interesting!

I invite any one to submit a problem involving a discrete outcome and see
what Bob says. If your problem is well formed, Reef Fish will
"disqualify" you.

--
David Winsemius

.



Relevant Pages

  • Re: Two nit-picks re definition of p-value (Was: goodness of fit ?)
    ... The Alternative Hypothesis is Ha: ... the definition of p-value for that problem would be ... -- Reef Fish Bob. ...
    (sci.stat.math)
  • Re: Two nit-picks re definition of p-value (Was: goodness of fit ?)
    ... the definition of p-value for that problem would be ... -- Reef Fish Bob. ... However, D.R. Cox uses this same definition for the discrete case in his "Principles of Statistical Inference" ... In a discrete problem it is q_obs plus the achievable p-value from the other tail of the distribution nearest to but not exceeding q_obs." ...
    (sci.stat.math)
  • Re: p-value
    ... Ho = the mean level is the same as that of the general population ... My question is how do you calculate the p-value? ... where "more extreme" is defined by the Alternative Hypothesis! ... -- Reef Fish Bob. ...
    (sci.stat.math)