Hi, Please suggest a method to answer below questions:
Factory_ID Factory_Location Factory_Size Total_Sample
Good_Sample Fair_Sample Bad_Sample
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
1 City_A Big
100 90 10 10
2 City_A Big
120 55 35 30
3 City_A Small
80 40 25 15
4 City_A Small
75 50 15 10
5 City_B Big
150 80 30 40
6 City_B Big
120 55 25 40
7 City_B Big
125 40 80 5
8 City_B Big
100 60 25 15
9 City_B Small
70 45 15 10
10 City_B Small
85 65 5 15
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
(1) Is there a statistically significant different between City_A and City_B
for the amount of Good_Quality_Sample that they produce?
(2) Is there a statistically significant different between Big and Small
factories for the amount of Good_Quality_Sample that they produce?
I don't think that t-test works here because the Total_Sample (i.e., the
total number of samples) from each factories is different.
I don't like to pool data from individual factory together. For example, I
don't like to pool Factory 1 and 2 together, because the variance among
individual Factory can be quite big in real data.
Thank you
Xiang
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