In the following contingency table, the row and column totals are presented, but the data for one row and one column have been omitted. Thus, there are data for only r − 1 rows and c − 1 columns. Show that you can calculate the missing values.

Conclude that if (r − 1)(c − 1) entries in the table are known, the remaining ones are automatically determined, so there are no degrees of freedom left.

Transcribed Image Text:

1 2 3 4 Row Total A 10 52 29 98 B 25 38 10 92 C 147 Column Total 65 117 83 72