Transcript Intro to Statistics

Intro to Statistics
Data Analysis and Experimental/Survey Design
Graphical Representation
Measures of Variation
Properties of probability
Binomial Distribution
Normal Distribution
Central Limit Theorem
Estimation
Hypothesis Testing
Linear Regression
Χ² Distribution
Non Para metric Statistics
Graphical Representation
GUIDING QUESTIONS
How can we clearly and concisely represent a data set?
How does one get from one graph to another?
What does each graph do to uniquely display the data?
What additional properties of the data set can be inferred from the graph?
Data Analysis and
Experimental Design
GUIDING QUESTIONS
What constitutes a useful and informative survey?
What are the components worthy experiment?
How does one account for potential lurking variables?
Measures of Variation
» N
•
•
jan
feb
mar apr
may june
july
aug
sept
oct
nov
dec avg
LOS ANGELES, CA 30 56.8 57.6 58.0 60.1 62.7 65.7 69.1 70.5 69.9 66.8 61.6 56.9 63.0
DETROIT, MI
30 22.9 25.4 35.7 47.3 58.4 67.6 72.3 70.5 63.2 51.2 40.2 28.3 48.6
GUIDING QUESTIONS
How can we characterize a whole data set with a single number?
How can we measure the extent to which measures of variation represent a data set?
Properties of Probability
GUIDING QUESTIONS
What are the probabilities for independent and dependent events like
Card playing and dice throwing?
How many ways can we combine and arrange a set of objects?
The Binomial Distribution
GUIDING QUESTIONS
What is the probability that, out of 10 coin flips, you will have 8 heads?
What is the probability that guessing on 25 multiple choice questions will result in 10
correct?
What is the probability that, upon asking 10 girls to prom, at least 2 will say yes?
The Normal Distribution
GUIDING QUESTIONS
What portion of guests at a concert are taller than 6 feet?
What is the probability that a student randomly selected from Crespi will
be between the ages of 14 and 16?