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# 1introduction-ha-online - Introduction to Categorical Data...

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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 Urbana-Champaign 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 ■ Zip-codes ■ 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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1introduction-ha-online - Introduction to Categorical Data...

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