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Chapter 3
Descriptive Analysis and
Presentation of Bivariate Data
2
Bivariate Data
When collecting data, sometimes we measure more than one variable on each
individual. Bivariate data is data consisting of the values of two different
response variables that are obtained from the same population element.
There are three possible combinations of variables that may be measured.
1. Both variables are qualitative
2. One variable is qualitative and the other is quantitative
3. Both variables are quantitative
When two values are measured on each population unit, we denote the data as
ordered pairs (x, y). In some examples we will see that x is the input variable
and y is the response variable.
3
Both Variables are Qualitative
We often arrange the data in a cross-tabulation or contingency table. These
tables count all possible combinations of the levels of the variables. After
counting the numbers, we make the tables with percentages listed in each of the
respective categories....

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