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Notes โ€บ EENG 3421: Probability and Statistics for Engineers Lecture 22

Basic Statistics

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Table of Contents

Statistics

Definition 22.1 (Statistics).

Statistics is the science of collecting, analyzing, presenting, and interpreting data as well as of making decisions based on such analyses

Definition 22.2 (Descriptive Statistics).

Descriptive statistics consists of methods for organizing, displaying, and describing data by using tables, graphs, and summary measures

Definition 22.3 (Inferential Statistics).

Inferential statistics consists of methods that use sample results to help make decisions or predictions about a population

Population and Sample

Definition 22.4 (Population or Target Population).

A population consists of all elements whose characteristics are being studied
The population that is being studied is also called the target population

Definition 22.5 (Sample).

A portion of the population selected for study is referred to as a sample

Definition 22.6 (Census and Sample Survey).

A survey that includes every member of the population is called a census
The technique of collecting information from a portion of the population is called a sample survey

Definition 22.7 (Representative Sample).

A sample that represents the characteristics of the population as closely as possible is called a representative sample

Definition 22.8 (Random Sample).

A sample drawn such that each element of the population has a chance of being selected is called a random sample
If all samples of the same size have the same chance of being selected, it is called simple random sampling

Elements Variables and Data

Definition 22.9 (Element or Member).

An element or member of a sample or population is a specific subject or object about which information is collected

Definition 22.10 (Observation or Measurement).

The value of a variable for an element is called an observation or measurement

Definition 22.11 (Variable).

A variable is a characteristic under study that assumes different values for different elements
In contrast to a variable, the value of a constant is fixed

Definition 22.12 (Data Set).

A data set is a collection of observations on one or more variables

Variable Types and Data Types

Definition 22.13 (Quantitative Variable).

A variable that can be measured numerically is called a quantitative variable
The data collected on a quantitative variable are called quantitative data

Definition 22.14 (Qualitative or Categorical Variable).

A variable that cannot assume a numerical value but can be classified into categories is called a qualitative or categorical variable
The data collected on such a variable are called qualitative data

Cross Section and Time Series

Definition 22.15 (Cross Section Data).

Data collected on different elements at the same point in time or for the same period of time are called cross section data

Definition 22.16 (Time Series Data).

Data collected on the same element for the same variable at different points in time or for different periods of time are called time series data

References

Sources

Graph