Biostats Reading #5
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6 Terms
What is an r x c table?
R is the number of rows.
C is the number of columns.
Used to analyze the relationship between two categorical variables.
What is the goal of the r x c table?
To test for statistical independence. No relation between the row and column criteria.
Applications of r x c table?
Fixed Row/Column totals: Testing if the distribution across columns is the same for every row (or vice versa).
Random grouping: Testing if the probability of an individual falling into a specific cell is simply the product of the marginal probabilities.
Calculating Expected Values (Eij)
If there is no relationship between rows and columns, the expected value for any cell is calculated by distributing the row and column totals proportionally.
Eij. = Row Total x Column Total / Grand Total
The X2 statistic of chi-square, tests for
The total deviation between observed (O) and expected (E) values across all cells in the table
The degrees of freedom, impacts the table by:
The approximate X2 distribution for an r x c table depends on the number of rows and columns
Note 
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