Continuous vs Binary Variables Quiz

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18 Questions

In the context of the text, what type of attributes are most often used in transaction data?

Binary

How can a data object in a collection of data with the same fixed set of numeric variables be represented?

As a point in a multidimensional space

What is the matrix called that represents the collection of data objects with a fixed set of numeric variables?

Pattern Matrix

What kind of transformation can be applied to a data matrix due to its numeric variables?

Standard matrix operations

Which term describes a set of data objects interpreted as an m by n matrix?

Data Matrix

What do binary attributes in transaction data typically indicate?

Whether an item was purchased or not

What is another term for asymmetric attributes in a data set?

Features

In the context of a data matrix, what do the rows represent?

Objects

What type of data is associated with market basket analysis?

Binary Attributes

How are transaction data sets typically represented?

Records

What distinguishes binary attributes from other types of attributes?

They have only two distinct values.

Which term is often used interchangeably with 'features' in the context of data analysis?

Characteristics

Which of the following best describes a binary variable?

A variable that can only take on two categories or states

In the context of asymmetric binary variables, what is an example of an equally valuable symmetric binary variable?

'Gender' as a binary variable with male and female states

Consider the binary attribute 'smoker'. What does the value 1 typically indicate?

The patient smokes

How is a symmetric binary variable defined?

There is no preference on which outcome is coded as 0 or 1

Which term is used for binary variables when the two states correspond to true and false?

Boolean variables

When a binary variable is asymmetric, what does it imply about the importance of its outcomes?

'1' state is more important than '0' state

Study Notes

Data Objects and Attributes

  • A data object is an observation, record, point, case, sample, entity, or instance, with multiple attributes that describe it.
  • An attribute is a property or characteristic of an object, also known as a variable, field, characteristic, dimension, or feature.

Types of Attributes/Variables

  • Discrete attributes can only take on specific values, while continuous attributes can take on any value within a range.
  • Examples of discrete attributes: binary variables, number of items purchased.
  • Examples of continuous attributes: temperature, height, weight.

Data Matrix

  • A data matrix is a table where each row represents an object, and each column represents a variable or attribute.
  • The data matrix is a variation of record data, and standard matrix operations can be applied to transform and manipulate the data.

Binary Variables

  • Binary variables are nominal variables with only two categories or states: 0 or 1.
  • Examples of binary variables: smoker (yes/no), medical test result (positive/negative), gender (male/female).
  • Binary variables can be symmetric (equally valuable outcomes) or asymmetric (outcomes with different importance).

Test your knowledge on continuous variables which can take on an infinite number of possibilities, and binary variables which have only two categories. Learn about properties of binary variables, such as the Boolean representation of true and false.

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