SOLUTION: I need some help on this problem please:
A geologist collects hand-specimen sized pieces of limestone from a particular area. A qualitative assessment of both texture and color
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Question 1051018: I need some help on this problem please:
A geologist collects hand-specimen sized pieces of limestone from a particular area. A qualitative assessment of both texture and color is made with the following results. Is there evidence of association between color and texture for these limestones? Explain your answer.
Texture Color Color Color
Light Medium Dark
Fine 4 20 8
Medium 5 23 12
Coarse 21 23 4
Thank you for ANY assistance!
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We are asked to analyze an association between two categorical variables
:
We start by summing the rows and columns of our table
:
Fine --4 20 8---32
Medium 5 23 12--40
Coarse 21 23 4--48
:
-------30-66-24-120
:
From the above information we can calculate the row and column percentages
:
Fine --0.125-0.625-0.25-100.0
Medium-0.125-0.575-0.30-100.0
Coarse-0.4375-0.479-0.08-100.00
:
-------0.25---0.55--0.20-100.0
:
Note that our two categorical variables(texture and color) are related in the sample if at least two rows of percentages noticeably differ in the pattern of row percents
:
*************************************************
the pattern of percentages is the same, therefore
texture and color are not related
*************************************************
:
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