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Notes on Exploratory Data Analysis | STAT 371, Study notes of Statistics

University of Wisconsin (UW) - MadisonStatistics

Material Type: Notes; Class: Introductory Applied Statistics for the Life Sciences; Subject: STATISTICS; University: University of Wisconsin - Madison; Term: Spring 2006;

Typology: Study notes

Pre 2010

Uploaded on 09/02/2009

koofers-user-l06
koofers-user-l06 🇺🇸

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Review on Chapter 1 - Chapter 5:
What you need to know for the first exam
Cécile Ané
Stat 371
Spring 2006
Exploratory data analysis
Distinguish categorical/numerical data,
Display distributions, describe their shape,
Boxplots: determine Q1, median, Q3, detect outliers,
Calculate the mean and standard deviation
(don’t forget to √var !)
Empirical rule.
General probability rules
IP (Aor B)=IP (A)+IP (B)if Aand Bare disjoint.
IP (Aand B)=IP (A).IP (B)if Aand Bare independent.
IP (A|B)=IP (A)if Aand Bare independent.
IP (Adoes not occur)=1−IP (A).
Binomial distribution
Given the description of a random variable Y, determine
whether it has a binomial distribution or not. If information
is available, give nand p.
Carry out probability calculations with B
Know when to approximate Bwith a normal distribution,
Know how to approximate Bwith N.
pf2

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Download Notes on Exploratory Data Analysis | STAT 371 and more Study notes Statistics in PDF only on Docsity!

Review on Chapter 1 - Chapter 5:

What you need to know for the first exam

Cécile Ané

Stat 371

Spring 2006

Exploratory data analysis

Distinguish categorical/numerical data,Display distributions, describe their shape,Boxplots: determine

Q

1

, median,

Q

3

, detect outliers,

Calculate the mean and standard deviation(don’t forget to

var !)

Empirical rule.

General probability rules

IP

A

or

B

IP

A

IP

B

if

A

and

B

are disjoint.

IP

A

and

B

IP

A

IP

B

if

A

and

B

are independent.

IP

A

B

IP

A

if

A

and

B

are independent.

IP

A

does not occur

IP

A

Binomial distribution

Given the description of a random variable

Y

, determine

whether it has a binomial distribution or not. If informationis available, give

n

and

p

Carry out probability calculations with

B

Know when to approximate

B

with a normal distribution,

Know how to approximate

B

with

N

Normal distribution

Carry out probability calculations:

IP

Y

a

IP

Y

a

IP

a

Y

b

and quantile calculations:

IP

Y

p

IP

Y

p

Use the transformation

Z

Y

μ

σ

Know that

IP

Z

IP

Z

and

IP

Z

. Relate to the empirical rule.

Distribution of

Y

if

Y

1

Y

n

have mean

μ

and standard deviation

σ

, then

Y

has mean

μ

, standard deviation

σ/

n

Y

∼ N

if

Y

1

Y

n

∼ N

In any case,

Y

still

∼ N

when

n

is large.

Know when

n

is large enough for the previous point to hold.

(it somewhat depends on the shape of the

Y

’s distribution)