Lecture 10: Analysis of Variance (ANOVA)
Readings: Sections 9.1-9.4
1
Introduction
To compare means of a quantitative variable across dierent categories that is dened by a
single categorical variable, we use a
two-sample t-test when the categorical vari
STAT 350 Exam 2 Review Problems
Fall 2015
Commented [LAF1]: E2 1
1. A random sample of 26 offshore oil workers took part in a simulated escape exercise, and
their times (sec) to complete the escape are recorded. The sample mean is 370.69 sec
and the sampl
Lecture 9: Analysis of Categorical Data
Readings: Section 8.3
1
Introduction
Our observations fall into categories instead of being continuous variables. We count the number
of observations falling into each category.
For example:
a. You tossed a coin 1
Lecture 8: Hypothesis Testing
Readings: Sections 8.1-8.2
1
Introduction
Two most common types of formal statistical inference:
Condence intervals: used when we want to estimate the parameter or parameters of a
population.
Hypothesis testing: used when
Lecture 6: Point Estimation and Large Sample Condence Intervals
Readings: Sections 7.1-7.3
1
Point Estimation
Objective of point estimation: use a sample to compute a number that represents in
some sense a good guess for the true value of the parameter o
Lecture 4: Normal Distribution
Readings: Section 1.4
Normal distribution with parameters and : X N (, )
PDF: f (x) =
1 e
2 2
(x)2
2 2
, where < < and > 0
E(X) =
V ar(X) = 2
0.8
SD(X) =
0.0
0.2
0.4
0.6
Mean=0, SD=0.5
Mean=0, SD=2
Mean=4, SD=1
6
4
2
Lecture 7: Small Sample Condence Intervals Based on a Normal
Population Distribution
Readings: Sections 7.4-7.5
1
Small Sample CI for a Population Mean
s
The large sample CI x z/2 n was constructed based on Central Limit Theorem (CLT).
When sample size
Lecture 5: Sampling Distribution
Readings: Sections 5.5, 5.6
Introduction
Parameter: describes population
Statistic: describes the sample; sampling variability
Sampling distribution of a statistic:
A probability distribution that characterize the samplin
Lecture 3: Random Variables
Readings: Sections 1.3, 1.6, 2.1, 2.2
1
Introduction
Random Variables
Random variable (rv): a real-valued function whose domain is a sample space.
Notation:
Capital letters X, Y, Z for random variables
Lower case letters x,
Lecture 1: Description of Data
Readings: Sections 1.2, 2.1-2.3
1
Variable
Example 1
a. Write two complete and grammatically correct sentences, explaining your primary reason for taking
this course and then describing what the term statistics means to you.
R Tutorial for STAT 350 for Lab 9
Author: Leonore Findsen, Chunyan Sun, Sarah H. Sellke
ExampleDataSet:loc.txtwebsite)
:
(
JobStressandLocusofControl
Manyfactors,suchasthetypeofjob,education
level,andjobexperience,canaffectthestressfeltbyworkersonthejob.L
Lecture 2: Probability
Readings: Sections 5.1-5.3
1
Introduction
Statistical Inference: drawing conclusions about the population based on a sample
Parameter:
a number that describes the population
a xed number but in practice we do not know its value
St
Introduction
Scatter Plots and Correlations
Simple Linear Regression
Regression Inference
An Additional Example
Lecture 11: Simple Linear Regression
Readings: Sections 3.1-3.3, 11.1-11.3
Apr 17, 2009
Introduction
Scatter Plots and Correlations
Simple Line
Version: Practice Exam
1
STAT 350 Exam 2 (Version: Practice Exam)
Name (Print) : _Key_
Fall 2015
PUID _
Instructor (circle one):
Ayu
Chao
Findsen
Monter
Class Time (circle one):
8:30 am
9:30 am
11:30 AM
12:30 PM
1:30 PM
2:30 PM
3:30 PM
ONLINE
Instructions
STAT 350 Exam 2 Review Problems
Fall 2015
1. A random sample of 26 offshore oil workers took part in a simulated escape exercise, and
their times (sec) to complete the escape are recorded. The sample mean is 370.69 sec
and the sample standard deviation is
Version: Practice Exam
1
STAT 350 Exam 2 (Version: Practice Exam)
Name (Print) : _
Fall 2015
PUID _
Instructor (circle one):
Ayu
Chao
Findsen
Monter
Class Time (circle one):
8:30 am
9:30 am
11:30 AM
12:30 PM
1:30 PM
2:30 PM
3:30 PM
ONLINE
Instructions:
1.
STAT 350 Exam I Review
Chapter 1. An introduction to Statistics and Statistical Inference
1. Three branches of Statistics:
- Collection of data
- Descriptive Statistics
Graphical and numerical methods used to describe, organize, and summarized data
- Infe
Version: Practice Exam
Key
1
STAT 350 Exam 1 (Version: Practice Exam)
Name (Print) : _
Fall 2015
PUID _
Instructor (circle one):
Ayu
Chao
Findsen
Monter
Class Time (circle one):
8:30 am
9:30 am
11:30 AM
12:30 PM
1:30 PM
2:30 PM
3:30 PM
ONLINE
Instructions
Version: Practice Exam
1
STAT 350 Exam 1 (Version: Practice Exam)
Name (Print) : _
Fall 2015
PUID _
Instructor (circle one):
Ayu
Chao
Findsen
Monter
Class Time (circle one):
8:30 am
9:30 am
11:30 AM
12:30 PM
1:30 PM
2:30 PM
3:30 PM
ONLINE
Instructions:
1.
Review for Exam 1
Tables provided: Z-table (Table III from the book).
Chapter 1 (except 1.3)
1. Be able to briefly define the three branches of statistics and be able to determine which one
that a specific occurrence belongs to: Data Collection, Descripti
STAT 350 Exam 1 Review Problems
Fall 2015
1. The weight of the eggs produced by a certain breed of hen is Normally distributed with
mean 70 grams(g) and standard deviation 5g.
a) Sketch the graph of the normal distribution that corresponds to the weight o
Solution to STAT 350 Exam 1 Review Problems
Spring 2015
1.
The weight of the eggs produced by a certain breed of hen is Normally distributed with
mean 70 grams(g) and standard deviation 5g.
a) Sketch the graph of the normal distribution that corresponds t
STAT 350 Exam 1 Review Problems
Spring 2015
1.
The weight of the eggs produced by a certain breed of hen is Normally distributed with
mean 70 grams(g) and standard deviation 5g.
a) Sketch the graph of the normal distribution that corresponds to the weigh
STAT 350 (Spring 2015)
Lab 7: R Solution
1
Author: Min Ren
Lab 7: One-Way ANOVA
Objectives: Analyze data via the One-Way ANOVA
A. (50 pts.) Do isoflavones increase bone mineral density? (ex12-45bmd.txt)
Kudzu is
a plant that was imported to the United St
R Tutorial for STAT 350 Lab 7
Author: Leonore Findsen, Chunyan Sun, Sarah H. Sellke, Jeremy
Troisi
Example1DataSet:eduproduct.txtwebsite)
:
(
EvaluationofaNewEducationalProduct
Yourcompanymarketseducational
materialsaimedatparentsofyoungchildren.Youarepla
Author: Min Ren, Leonore Findsen
STAT 350 (Spring 2015)
Lab 6: R Solution
1
Lab 6 (80 pts.): Two Sample and Matched Pairs T Procedure
T
Objectives: Confidence interval and significance tests for two
samples.
A (35 points) Food Intake and Weight Gain (Data
'-' -WmWWFWT _' _
Name: SOLMIUO '
. Date: 02/20/2015
1. On the average, two tornadoes hit major U.S. metropolitan
areas every year. What is the probability that more than five
tornadoes occur in major U.S. metropolitan areas next year?
2. A lab network co