Contingency Table Degrees of Freedom Calculation
The degrees of freedom (df) in a contingency table represent the number of values that can be arbitrarily changed without altering the marginal totals. For a contingency table with R rows and C columns, the calculation is straightforward.
Understanding Degrees of Freedom
In a contingency table, the constraints come from the fixed row sums and column sums. If you know the row totals and column totals, you can freely choose the frequencies for most cells. Once these are chosen, the remaining cell frequencies are determined.
Calculating Degrees of Freedom
The formula to calculate the degrees of freedom for an R x C contingency table is:
$df = (R - 1)(C - 1)$
Where:
- R is the number of rows.
- C is the number of columns.
Each row contributes $(R - 1)$ degrees of freedom because one value in the row is determined by the total. Similarly, each column contributes $(C - 1)$ degrees of freedom.
Final Result
Therefore, when the number of frequencies are put in a cell in a contingency table, the degree of freedom will be (R - 1) (C - 1).
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Important Questions from Mixed Topic (CUET PG)
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A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
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A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
