Transcript Chapter 1

MA180: Statistics
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Definition of Statistics
(according to Wikipedia)
The study of the collection, organization,
analysis, interpretation and presentation
of data.
It deals with all aspects of data including
the planning of data collection in terms of
the design of surveys and experiments.
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Why Study Statistics?
• Useful in both professional and everyday life.
• Essential part of medicine, psychology, politics
engineering, etc.
• Looks great on a Résumé
• List of direct applications: Index of Applications
(Textbook, page xxi)
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New Class Format!
• More concentration on statistical software than
calculations-by-hand.
• BUT, also more concentration on understanding what
the outputs mean!
• 3 credit hours
1. 50-min Lecture
2. 50-min Lab
3. Self study and/or additional lab time in MLL
• Lab will include instructions on using statistical software.
• I will be in the MLL on Fridays for 2 hours (TBA)
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Syllabus
Schedule
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
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In Class Questions
• Used to test your understanding of reading/topics
• Doesn’t count as credit, but helps you learn more
(thus increasing your grade!)
Example
What was the most Googled Question in 2013?
A. What is Ricin?
B. What is DOMA?
C. What is Twerking?
D. What is Gluten?
Source: Huffington Post
http://www.huffingtonpost.com/2013/12/17/google-top-search-terms-2013_n_4460102.html
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Chapter 1
Introduction To
Statistics
1.2 Statistical Thinking
1.3 Types of Data
1.4 Critical Thinking
1.5 Collecting Sample Data
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
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Definitions
Data
Collections of observations (see section 1.3 for types of data).
Population
The complete collection of all individuals (data) to be studied.
Sample
A sub collection of members selected from a population.
Example: The ages of UAB students
Data
Each student’s age
Population Every UAB student
Sample This class.
Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved.
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Definitions
Parameter
A numerical measurement describing some characteristic of
a population.
Statistic
A numerical measurement describing some characteristic of
a sample.
Example: Average age of a UAB student
Parameter Average age of every UAB student
Statistic Average age of this class
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General Goals of Statistics
1. Making sense of lots of data
– Summary Statistics
– Graphing data
– Identifying ‘unusual’ occurances
2. Determining characteristics of a population from a sample.
– Using a sample statistic to estimate the population parameter.
(Confidence Intervals)
– Testing the value of a parameter from a using data from a sample.
(Hypothesis testing).
Naturally, these results will never be 100% accurate.
BUT, we can determine how accurate they are
AND how to improve this accuracy
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Course Plan
• Basics
– Definitions
– Graphing Data
– Summary Statistics
• Probability
– Core concepts
– Rules of Probability
– Playing Poker
• Distributions
– The way data is ‘shaped’
• Central Limit Theorem!
– When everything comes together
• Estimating and Testing using Samples
– Confidence Intervals
– Hypothesis Testing
– ANOVA
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Wednesday’s Class
• Will be held in the Math Learning Lab: HHB 202
• Will setup CourseCompass account and begin
practicing homework problems
• Bring your book!!!
• Read Chapters 1 & 2 today or tomorrow.
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