Stat 1102 lecture notes 9

# Category of a categorical variable it is called a

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category of a categorical variable, it is called a frequency table . o Below, the bar chart and the frequency table display the same data. Both show frequency counts, representing travel choices of 10 travel agency clients. Choice USA Europe Frequency 5 3 Relative Frequency Tables o When a one-way table shows relative frequencies (i.e., percentages or proportions) for particular categories of a categorical variable, it is called a relative frequency table . o Each of the tables below summarizes data from the bar chart above. Both tables are relative frequency tables. The table on

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the left shows relative frequencies as a proportion, and the table on the right shows relative frequencies as a percentage. Choice USA Europe Proportion 0.5 0.3 Choice USA Europe Percentage 50 30 Testing category probabilities: two-way (contingency) table Contingency table – presents multinomial count data classified on two scales, or dimensions, of classification namely gender of viewer and brand awareness Conditions required for a valid x 2 test: contingency table o The n observed counts are a random sample from the population of interest.
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