1305AFE Lecture Notes - Lecture 1: Stratified Sampling, Statistical Inference, Australian Securities Exchange

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30 May 2018
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Week 1 Business Data Analysis lecture notes
Introduction to Statistics and Sampling Methods
Part A: Intro to Statistics
What is statistics?
Statistics is a body of principles and methods used to extract useful from a data set
to assist people to make decisions about questions of interest
Data are actual observations that result from an investigation or an experiment or a
survey
statistics is a ay to get iforatio fro data to ake ifored deisios
Who uses it?
Statistical techniques are used extensively by marketing professionals, business
managers, quality control officers, hospital administrators, educators, accountants,
economists, politicians, physicians, etc.
Statistical terminology
Population vs. Sample
Population parameter vs. sample statistics
Population:
o A population is the group of all or total items of interest to a statistics
practitioner
o Frequently very large (sometimes infinite)
Examples
The census accounts for the population or all the people
residing in Australia- over 23.64 million (finite)
Number of fish in Brisbane river (infinite)
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Sample:
o A sample is a set of data drawn from the population
o Smaller than the population
Examples
A sample of 100 people living in Australia
Todays ath of a fishera i Brisae rier
Key Statistical concepts
Statistical terminology
Population parameter
o A descriptive measure of a population
o Examples
Average annual income of all Australians
Proportion of defective shoes manufactured in a shoe factory
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Sample statistics
o A descriptive measure of a sample
o Examples:
Average annual income of 100 randomly selected Australians
Proportion of defective shoes in 200 randomly selected shoes
manufactured in a shoe factory
Why use a sample?
A survey of the whole population is called a CENSUS (e.g. ABS Census)
Why sample?
o Cost (cheaper)
o Time constraints (faster)
o Large population size- Census too
o Cumbersome (easy to handle)
o Destructive sampling- impractical (more practical)
o Accuracy of analysis (more accurate)
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Document Summary

Who uses it: statistical techniques are used extensively by marketing professionals, business managers, quality control officers, hospital administrators, educators, accountants, economists, politicians, physicians, etc. If we survey the students in this class today their height, we would be collecting cross sectional data: wide application for statistical analysis, example: australian unemployment rates at state level, 2016. Two basic areas of statistics: descriptive statistics, deals with methods of organizing, summarizing and presenting data in a convenient way. Is a body of methods for estimating and drawing conclusions about the population characteristics (population parameters) from a sample taken from the population. Methods of collecting data: published data (primary data vs. Survey methods: there are three types/methods to conduct surveys, personal interview, telephone interview, self-administered questionnaire, personal interview. In personal interviews, people are trained to ask prepared questions: advantages, having higher response rate, have fewer incorrect responses from respondents misunderstanding some questions, disadvantages, expensive- training interviews and travel expenses, personal bias, telephone interview.

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