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Unformatted text preview: Introduction to Categorical Data Slide 1 of 45 Introduction to Applied Categorical Data Analysis Edpsy 590AT/Psych 593 CA Carolyn J. Anderson Department of Educational Psychology University of Illinois at UrbanaChampaign Data Sampling Models for Categorical Data Poisson Sampling The Binomial Distribution Inferences Regarding Proportion Introduction to Categorical Data Slide 2 of 45 Outline ■ Data ■ Sampling Models ◆ Poisson Distribution ◆ Binominal Distribution ■ Inferences regarding proportions Data ● Data ● Examples of Nominal Variables ● Ordinal Variables ● Examples of Ordinal Variables ● Nominal or Ordinal? ● Importance of Context ● More Types of Data ● More Types of Data ● Another Classification of Variables ● Principles of Data Analysis Sampling Models for Categorical Data Poisson Sampling The Binomial Distribution Inferences Regarding Proportion Introduction to Categorical Data Slide 3 of 45 Data ■ Continuous/Numerical/Quantitative : Measurement on these Variables are made on an interval or ratio scale. e.g., ◆ Income of a respondent to a survey ◆ Height ◆ Weight ◆ Age ◆ Reaction time ◆ Blood pressure ◆ Crop yield per acre ■ Categorical/Discrete/Qualitative: Measures on categorical or discrete variables consist of assigning observations to one of a number of categories. The categories may be either ◆ Unordered. ◆ Ordered. Data ● Data ● Examples of Nominal Variables ● Ordinal Variables ● Examples of Ordinal Variables ● Nominal or Ordinal? ● Importance of Context ● More Types of Data ● More Types of Data ● Another Classification of Variables ● Principles of Data Analysis Sampling Models for Categorical Data Poisson Sampling The Binomial Distribution Inferences Regarding Proportion Introduction to Categorical Data Slide 4 of 45 Examples of Nominal Variables There is no natural ordering of the categories; the ordering is arbitrary. ■ Names of plants native to East Central Illinois ■ Region of residence of survey respondent ■ Telephone numbers ■ Zipcodes ■ Gender ■ Occupation ■ Race/ethincity ■ Student’s major field of study ■ Numbers on football jerseys ■ Received flu vaccination or not. ■ Dead/alive ■ High school program type ■ Types of behaviors (e.g., aggressive, assertive, passive, etc.) Data ● Data ● Examples of Nominal Variables ● Ordinal Variables ● Examples of Ordinal Variables ● Nominal or Ordinal? ● Importance of Context ● More Types of Data ● More Types of Data ● Another Classification of Variables ● Principles of Data Analysis Sampling Models for Categorical Data Poisson Sampling The Binomial Distribution Inferences Regarding Proportion Introduction to Categorical Data Slide 5 of 45 Ordinal Variables There is a natural ordering of the categories; the order in not arbitrary....
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 Spring '09
 CarolynAnderson
 Normal Distribution, Poisson Distribution, Probability theory, Binomial distribution, Poisson sampling, Inferences Regarding Proportion

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