IE5002: Assignment 4
Reading: Chapter 4.1 (p133-p145), Statistics for Experimenters, Box, Hunter and Hunter 2nd edition,
Exercise:
1. An experimenter has conducted a single-factor experiment with six levels of the factor, and each
factor level has been re

STATISTICAL METHODS
February 2, 2015
National University of Singapore
DESCRIPTIVE
STATISTICS
STATISTICAL
INFERENCE
Hypothesis Testing
(Qualitative)
Result: Decisions
HYPOTHESIS TESTING
Parameter Estimation
(Quantitative)
Result: Point or Interval
Estimate

2015
National University of Singapore
IE5002
APPLIED ENGINEERING STATISTICS
Prof T N Goh
Industrial & Systems Engineering Dept
National University of Singapore
1
Recommended Text/Ref: BH2
Box, G.E.P., Hunter, W.G. and Hunter, J.S.,
Statistics for Experim

February 9, 2015
National University of Singapore
Strategies in statistical analysis
1. Break down an observation into two components
[Observed] = [Systematic] + [Random]
or
= [Deterministic] + [Probabilistic]
2. Utilize the Signal-to-Noise Ratio for deci

19 Totally Incredible Facts
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Do you love Guinness Beer? Thank a
statistician for the taste you love.
It's no secret that beer is the beverage of choice for some men (and women!). Guinness beer, invented
in 1759 by Arthur Guinness, has

IE 5002 APPLIED ENGINEERING STATISTICS
Note: This set of notes is NOT self-contained. It should be
read in conjunction with one of the recommended texts, e.g.
BH2; Montgomery
Experimentation and Knowledge
It doesnt matter how beautiful your theory
is, it

CIENCE
Publisher: Richard S. Nicholson
Editor: Daniel E. Koshland, Jr.
News Editor: Ellis Rubinstein
Managing Editor: Patricia A. Morgan
Deputy Editors: Philip H. Abelson (Engineering and Applied
Sciences); John 1. Brauman (Physical Sciences)
EDITORIAL ST

Paper ID #6094
The Most Misunderstood ABET Criterion - Criterion 3b
Dr. K.S. Krishnamoorthi, Bradley University
Dr. Krishnamoorthi is a professor of industrial engineering in the IMET Department at Bradley University
and teaches mostly engineering statist

1/7/2015
IE 5002
SEMESTER II, ACADEMIC YEAR 2014-2015
INDUSTRIAL & SYSTEMS ENGINEERING DEPARTMENT
NATIONAL UNIVERSITY OF SINGAPORE
Class hours
Every Monday, 6:00pm 9:00pm, Lecture Theatre 2
1
1/7/2015
Pre-requisite
Some knowledge of Applied Statistics wou

392
7: N: Goh
FiG. I. Framework of design of experiments
using statistical experiments is described. For a fuller appreciation of the practical
value of design of experiments, a review is made of the increasingly important role
it has played in recent dec

January 19, 2015
National University of Singapore
Certainty and Uncertainty
If a man will begin with certainties,
he shall end in doubts; but if he will
be content to begin with doubts, he
shall end in certainties.
Francis Bacon (1561-1626)
1
Statistical

January 26, 2015
National University of Singapore
STATISTICAL METHODS
PrintouttheIVLEmaterial
(workbin)
COMPARISON OF TWO PROCESS/TECHNIQUES
Given the following properties of products obtained by technique 1 and technique 2:
Technique 1
13.3
15.2
10.8
12.

IE5002: Assignment 6
Reading: Chapter 5, Statistics for Experimenters, Box, Hunter and Hunter 2nd edition,
Exercise:
1. A router is used to cut locating notches on a printed circuit board. The vibration level at the
surface of the board as it is cut is co

IE5002: Assignment 5
Reading: Chapter 5.1-5.6 (p173-p183), Statistics for Experimenters, Box, Hunter and Hunter 2nd
edition,
Exercise:
1.The following output was obtained from a computer program that performed a two-factor
ANOVA on a factorial experiment.

IE5002
Assignment 1
Reading: Chapter 1 , Statistics for Experimenters, Box, Hunter and Hunter 2nd edition,
Chapter 2 , Design and Analysis of Experiments , Montgomery 7th edition
Exercise:
Q1. Show that the following functions are probability density func

IE5002: Assignment 2
Reading: From the point of view of Statistics, comment on the attached report of the Straits
Times.
Exercise:
1. Suppose that we are testing H0 : = 0 versus H1 : = 0 . Calculate the P -value
for the following observed values of the

IE5002 Assignment 4 Solution
1.
a 6, N 3a 18
F0
SStreatment / (a 1)
SS E / ( N a)
is distributed as F with a-1 and N-a degrees of freedom.
0.01 < Table P-value < 0.025 Computer P-value = 0.0114
2.
a 4, N 6a 24
F0
SStreatment / (a 1)
SS E / ( N a)
is dis

IE5002: Assignment 3
Reading: Chapter 3.2 (p81-p91), Statistics for Experimenters, Box, Hunter and Hunter 2nd
edition,
Exercise:
1. Consider the Minitab output shown below.
Two-Sample T-Test and CI: Y1, Y2
Two-sample T for Y1 vs Y2
N
Mean
Std.
Dev.
SE
Mea

IE5002 Assignment 5 Solution
1.(a)
Two-way ANOVA: y versus A, B
Source
DF
SS
MS
F
P
A
1
0.0002
0.0002
0.00001
0.998
B
3
180.378 60.1260 3.02907
0.093
Interaction
3
Error
8
158.797 19.8496
Total
15
347.653
8.479
2.8263
0.14239
0.932
(b) 4 levels.
(c) 2 rep

IE5002 Assignment 3 Solution
1.
(a)
Can the null hypothesis be rejected at the 0.05 level? Why?
Yes, the P-Value of 0.001 is much less than 0.05.
(b)
Is this a one-sided or two-sided test?
Two-sided.
(c)
If the hypothesis had been H0: - = 2 versus H1: - 2

Chocolate and the Nobel Prize
IE5002AppliedEngineeringStatistics
TheSwisseatthemostchocolate.
andhavebeenrewardedwiththemostNobelPrizes,perheadofpopulation
SWEDESEATONLYHALFASMUCHCHOCOLATEASGERMANSBUTTHECOUNTRYHASTWICEAS
MANYNOBELLAUREATESPERHEAD.
PERHAPS