MATH 312 Lecture Notes - Lecture 10: Categorical Variable

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17 Oct 2018
School
Department
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MATH312Jayme Rosenquist
Chapter 29 Introduction to Statistics and Sampling 10/11/18
29.4 Types of Data
Take a sample of 5 students from our class and fill in the table. Assign each student a number
{00, …, 34} and use the table of random number to select five students:
Names
Blue/Red
Hours Slept
Hailee
Blue
6
Kianna
Red
5
Savannah
Blue
5
Vanessa
Red
6
Cassidy
Blue
8.5
Take a cluster sample of five students by row:
Names
Blue/Red
Hours Slept
Haley
Blue
9
Brittany
Blue
7
Jenny
Red
5
Briana
Blue
6
Emily
Blue
5
Two different simple random samples from the same population can produce different
sample statistics.
What is the difference with these two types of data? There is really no way to organize
the colors.
Types of Data
Categorical: Assigning objects and individuals categories
Measurement: Data that can be measured, ordered, or operated on.
Deciding a proper item to measure when conducting a study is a very difficult and crucial
task. Most often, studies include both categorical and numerical data.
Give examples of measurement and categorical data in the following contexts:
a) Watching sports
- Measurement: hours spent, number of different sports, money spent on tickets, final
scores
- Categorical: favorite sport, favorite team
b) Swimming:
- Measurement: average strokes/lap, time spent under water, number of competitions,
total meters/time
- Categorical: location, gender, swimwear brand
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