Here are the row and column totals for a two-way table with two rows and two columns: \begin{array}{ll|r} a & b & 50 \ c & d & 50 \ \hline 60 & 40 & 1

geduiwelh

geduiwelh

Answered question

2021-05-13

Here are the row and column totals for a two-way table with two rows and two columns:ab50cd506040100 Find two different sets of counts a, b, c, and d for the body of the table that give these same totals. This shows that the relationship between two variables cannot be obtained from the two individual distributions of the variables.

Answer & Explanation

Nathanael Webber

Nathanael Webber

Skilled2021-05-14Added 117 answers

Given:
ab50cd506040100
We then need to find a set of values a, 6,c and d such that row totals are 50 and the column totals are 60 and 40 respectively. This then implies that the following equations need to be satisfied:
a+b=50
c+d=50
a+c=60
b+d=40
One possible set of values for a, b, c and d is then a = 30, b = 30, c = 20 and d= 20.
3030502020506040100
Another possible set of values fora, 8, c and dis then a = 40, b = 10, c = 30 and d = 50.
4010502030506040100

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