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OBSERVED AND TABLE VALUES
Notations for scores and statistics.
Sometimes people are mixing two different important things. The first one is the
value of
our test statistics
(the notations used
X
2
observed
,
z
observed
or
X
2
obs
,
z
obs
etc.) which we obtained
from the data only
with the
table values
that correspond to
α
level (notations used are
X
2
α
,
z
α
and
z
α
2
etc.)
That may sound confusing but sometimes
we omit subscript
when it should be clear form
the contents which one we of those two we are talking about. (So we just write
X
2
,
z
etc.
for both of them.)
Values of the statistic are
different
for different samples. (That is if I take two samples
I will get two different
observed values
(
X
2
observed
or
z
observed
depending on the problem).)
On the contrary the table values
has nothing to do with the data
. They are computed
using the table based on the
α
level that we (choose) specify for our test. For example we
know from the table that
z
0
.
025
1
.
96
and this number
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 Summer '08
 TA
 Statistics

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