I'm being stupid, again. Sum & Count, together

Question

Hi-
I thought that this should be easy and I was able to do this...nope.
i need to sum a value for each distinct count.  Having read a few post, i think i need an over() function.
select distinct
    [Training Title],
    [Training Type],
    count(CASE WHEN [user id] IS NULL THEN 0 ELSE 1 END) as 'Number',
    sum(cast([training hours] as float)) as 'Total Hours',
    count([training object id]) as 'Offerings'
-- this is duping, think i need an count([training object id]) over(PARTITION BY [TRAINING TITLE] )
from q2_2014
where [training type] = 'session'
group by
    [Training Title],
    [Training Type]

Answer 1

data:
Training Title
user id
training hours
training object id
crs1
a1
0.25
id-1
crs1
b1
0.25
id-1
crs1
c1
0.25
id-2
crs1
d1
0.25
id-2
csr2
a1
0.25
id-1a
crs2
b1
0.25
id-1b
crs3
a1
0.25
id-1
results:
Training Tile
Count Users
Total Hours
Number of Offerings
crs1
4
1
2
crs2
2
0.5
2
crs3
1
0.25
1