CATEGORICAL
DATA ANALYSIS
CATEGORICAL RESPONSE
DATA
A categorical variable is one for which the
measurement scale consists of set of categories Ex :
political philosophy : liberal, moderate,
conservative
Smoking status : never smoked, former smoker,
current smoker
Recovery from an operation : completely
Response/Explanatory
Distinction
Most statistical analyses distinguish between
response (or dependent) variables and
explanatory (or independent) variables
This course is concerned with the analysis of
categorical response variables.
For some methods, the explanatory
variables must also be categorical ; for
others, they can be continous or
Measurement Scala
Distinction
Nominal :
categorical variable for which levels do not have a natural ordering. Ex: religious affiliation, mode of transportation, choice of residence, race,
gender, and marital status. Ordinal :
categorical variable for which do have ordered levels. Ex : social class, size of automobile
Interval :
Continous/Discrete
Distinction
Variables are classified as continous or
Quantitative/Qualitative
Disticntion
Qualitative : distinct levels differ in quality,
not in quantity (nominal variable)
What we learn in this
course
Descriptive and inferential methods for
bivariate categorical response
Basic measures of association
Develops the basic of model building
Logit model : used with binomial or multinomial
response
Refference