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Statistics - Chapter 1
Statistics - Chapter 1
25
Mathematics
Undergraduate 2
08/29/2011

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Term
Statistical analysis
Definition
The analysis of characteristics of subjects or units of interest
Term
Individuals
Definition
Objects described by a set of data (also called subjects)
Term
Data elements (data points or observations)
Definition
Data elements represent a particular measurable characteristic or variable
Term
Variable
Definition
Any characteristic of an individual (or subject)
Term
Population
Definition
The entire group of all individuals about which we want information
Term
Categorical variable
Definition
Places an individual into one of several groups or categories
Term
Quantitative variable
Definition
Takes numerical values for which arithmetic operations such as adding and averaging make sense
Term
Units of measurement
Definition
The values of measurement for quantitative variables
Term
Continuous variable
Definition
Quantitative variables that can take on any real numerical value over an individual (age, height, weight, cholesterol level, and systolic BP)
Term
Discrete variables
Definition
Quantitative variables that can take only a limited (finite) number of values (days in a week, petals in a flower)
Term
Nominal variables
Definition
Categorical variables that can take on a limited number of UNORDERED categories (gender, marital status, race, flower color)
Term
Ordinal variables
Definition
Categorical variables that can take on a limited number of ORDERED values or categories (ordered response variables known as Likert scales...really like and dislike...categories for years of education)
Term
Distribution of a variable
Definition
Tells us what values it takes and how often it takes these values
Term
Distribution of a categorical variable
Definition
Includes the category, count (or frequency) and percent
Term
Bar graph (bar chart)
Definition
Used for CATEGORICAL variables; each bar represents the category and percent of a category. If ordered from tallest to shortest, is known as a Pareto chart.
Term
Distribution of a quantitative variable
Definition
Includes the class (or grouping) and count within each class
Term
Histogram
Definition

Used to represent QUANTITATIVE variables; each bar represents the frequency (or count) within a class (or grouping).

 

- choose the classes

- count individuals in each class

- draw histogram

Term
Pattern
Definition
The overall pattern of the histogram, including the shape, center and spread
Term
Shape
Definition
The shape includes the number of modes (highest bars). Is the distribution unimodal, bimodal, etc.?
Term
Center
Definition
The mid-point of the data
Term
Spread
Definition
The range of data from smallest to largest values
Term
Outlier
Definition
An individual value that falls outside the overall pattern
Term
Symmetric
Definition
A distribution is symmetric if the left and right of the distribution are mirror images of each other
Term
Skewed right (positive)
Definition
If the right side extends much farther out than the left side
Term
Skewed left (negative
Definition
If the left side extends much farther out than the right side
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