Simulation
Engineering Statistics I
4/13/2014
ISE 225, Dr. Smith
1
Contents
What is simulation?
Why simulate?
How?
4/13/2014
ISE 225, Dr. Smith
2
What is simulation?
Replacement of a physical or conceptual
system with a model of that system
Not surpr
Multiple Regression
Engineering Statistics I
3/26/2014
1
Multiple regression
Model has more than one variable
Y=b0 + b1x1 + b2x2
Dependent
variable
Independent
variable, X1
Y intercept
Slope (rate of
change) for X1
3/26/2014
2
Example: auto fuel economy
Multiple Regression
Model Building
Engineering Statistics I
3/31/2014
1
ISE 225, Dr. Smith
Introduction
Given the tools of multiple linear regression:
Allows construction of models using data to
relate independent variables, x, to dependent
variables, y
4-1 Statistical Inference
The field of statistical inference consists of those
methods used to make decisions or draw
conclusions about a population.
These methods utilize the information contained in
a sample from the population in drawing
conclusions.
Principles of Conflict Resolution
1 of 1
http:/adr.navy.mil/adr/principles.asp
Public
Websites:
Search
ADR
Ethics
JAG
NCIS
OGC
CAC
Required:
ADR
Ethics
JAG
NCIS
OGC
Principles of Conflict Resolution
1. Think Before Reacting
The tendency in a conflict situ
2/3/2014
Hypothesis Testing
p values
Often used in presentation of conclusions in the
literature
Indicates relative strength of the conclusion (weak
or strong rejection of Ho)
Often expressed in terms of effect or treatment
effect.
Tests of Hypotheses
EngineeringStatisticsI
AnalysisofVariance
ANOVA,Part1
2/24/2014
ISE225,Dr.Smith
1
ANOVA
Previously
Tests on one or two populations
Whether the decision variable (u, , p) is
Different in some way (higher, lower) from a level
of interest
Equal (statist
EngineeringStatisticsI
TestsofHypotheses,Part4
2/12/2014
ISE225,Dr.Smith
1
HypothesisTesting
Previously
Tests on one population
Whether the decision variable (u, , p) is
Different in some way (higher, lower) from a level of interest
Equal (statistica
ISE 225, Dr. Smith
Tests of Hypotheses
Proportions
Engineering Statistics I
2/10/2014
1
Tests on Proportions
Random variable may be a proportion
Percentage of a quantity
42 yes answers in a survey of 119 people
p=42/119=35.3%
Fraction of a random vari
EngineeringStatisticsI
TestsofHypotheses,Part5
2/19/2014
ISE225,Dr.Smith
1
HypothesisTesting
Today
Tests for proportions
Single population
Two populations
2/19/2014
ISE225,Dr.Smith
2
HypothesisTesting
Tests on the proportion of a single
population
A
1/27/2014
Definition
Introduction
Let X be a random variable with pdf f(X). Then
the set of n observations X1, , Xn, taken on the
random variable X, and having numerical
outcomes, x1, , xn, is called a random sample if
the observations are obtained by ob
1/27/2014
Why Sampling?
Introduction
We would like to make a statement about a
population
Sampling and Point Estimation
Has an engineering parameter for instrument
calibration changed? What is the new value?
Has the concentration of an additive to the
1/27/2014
Confidence Intervals
What if the standard deviation, ,unknown?
Must estimate with sample standard deviation,
n
s:
( x X )2
2
Confidence Intervals II
i
i 1
s
n 1
Then use the t distribution with statistic
Engineering Statistics I
t
The 1
P( X
1/22/2014
ISE 225 Dr. Smith
Introduction
ISE 225 Dr. Smith
Statistics can be divided into three areas
Descriptive statistics (today)
Inferential statistics (later)
Statistical decision making (ISE 562)
Frequency Displays and
Measures of Central Tenden
R tutorial
Extra credit
Zanyu Li Zichen Wang
Data
Used data from 8-51
We only borrowed the data
to do analysis instead of answering
the example question
Input data
First, create a excel file
Input the data and save excel as .csv file
Save it into location