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Statistics One
Introduction

1
Introduction
•  Statistics, broadly defined, is a scientific
discipline devoted to the study of data

2
Introduction
•  Data: a collection of numbers assigned as
values to quantitative variables and/or
characters assigned as values to qualitative
variables

3
Introduction
•  Example: Academic records of children in
elementary school

4
Introduction
Student	
  

TR	
  
CS	
  
PP	
  
DB	
  
MM	
  
AC	
  
…	
  

Gender	
  

M	
  
F	
  
M	
  
M	
  
F	
  
M	
  

Age	
  
(Months)	
  

80	
  
79	
  
84	
  
84	
  
82	
  
83	
  

Math	
  

95	
  
79	
  
75	
  
94	
  
93	
  
91	
  

History	
  

91	
  
75	
  
82	
  
98	
  
78	
  
79	
  

Language	
  

73	
  
87	
  
84	
  
95	
  
78	
  
80	
  
5
Introduction
•  Data: the lowest level of abstraction from
which information and then knowledge are
derived
•  Data à Information à Knowledge

6
Introduction
•  Statistician: a person who is skilled in
applying the tools of Statistics

7
Introduction
•  Types of Statisticians
•  Academic research
•  Medical research
•  Survey studies
•  Education
•  Market research
–  Analytics and Big Data

8
Introduction
•  Statistic: a quantity calculated from a
sample of data
•  Average Age of students
•  Average Math grade
•  Standard deviation of Math grade

9
Introduction
•  Sample: a subset of the population
•  Population: the entire collection of cases to
which we want to generalize

10
Introduction
•  Statistic: a numerical measure that
describes a characteristic of a sample
•  Parameter: a numerical measure that
describes a characteristic of a population

11
Introduction
•  Descriptive statistics: procedures used to
summarize, organize, and simplify data
•  Inferential statistics: procedures that allow
for generalizations about population
parameters based on sample statistics
12
Introduction
•  Research methods
•  Descriptive
•  Correlational
•  Experimental

13
Introduction
•  Descriptive
–  Organize and summarize the data

14
Introduction
•  Correlational
–  Examine relationships among variables
•  Is Math grade correlated with History grade?

15
Introduction
•  Experimental
–  Randomly assign students to different schedules
•  Year-round
•  Summer break
•  Is achievement affected by schedule?

16
Introduction
•  The International Year of Statistics, 2013!
–  For information:
•  www.statistics2013.org

17
Introduction
•  “Statistics is becoming more critical as
academia, businesses, and governments
come to rely on data-driven decisions,
greatly expanding the demand for
statisticians.”
18
END INTRODUCTION

19

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