Chapter 7: Fractions of the
2k Factorial Design
SECTION 7.3
Even for a moderate number of factors, the 2k factorial can require an excessive
number of runs.
A possible solution: Fractional Factorial Designs.
First, consider the simplest fractional factori
Chapter 6: Linear
Regression Analysis
SECTION 6.2 CONTINUED
The Coefficient of Determination, R2
We can partition the total variability in the data, SStotal into two components:
SSreg, the sum of squares due to the regression model, and
SSres, which is
Chapter 6: Linear
Regression Analysis
SECTIONS 6.1 & 6.2
6.1. Relationships Among Data
Engineers use models to solve problems.
These models express the relationships among various engineering
characteristics.
They are often used to predict some outcome ba
Chapter 7:
The 22 Factorial Design
SECTION 7.1
This chapter begins to bring this course around full circle.
Chapter 1 discussed the basics of data collection.
Please review Section 1.7, especially the principles of experimental design:
Randomization
Rep
Chapter 5: Control Charts
and Statistical Process
Control
SECTION 5.6, 5.7
5.6 The np-chart
There are situations where an item is simply classified as good/bad or defect/nondefect or pass/fail or conforming/nonconforming.
For example a filter either leaks
Chapter 6: Linear
Regression Analysis
SECTION 6.3
6.3 Multiple Linear Regression
Most engineering problems involve more than one predictor variable. Therefore,
the model that we use to predict the response will have several regressors.
Some questions to c
Chapter 6: Linear
Regression Analysis
SECTION 6.4
6.4 Residual Analysis
Before using a model for prediction or decision making, we should verify that the
model assumptions have been met.
Recall that the difference between the observed response and the pre
Chapter 5: Control Charts
and Statistical Process
Control
SECTION 5.4
5.4
X
- and S2-Charts
Traditionally, people have used R (1 / m) Ri to estimate .
Actually a better estimate of is based on the standard deviation.
Consider a sequence of hypothesis test
Chapter 6: Linear
Regression Analysis
SECTION 6.2 CONTINUED
Hypothesis Tests for 1
Usually, the most important question to be addressed by regression analysis is
whether the slope is 0.
Our approach for answering this question: a hypothesis test.
1. State
Chapter 7:
The 2k Factorial Design
SECTION 7.2
The 2k factorial design is a straight-forward extension of the 22
The base design continues to be every possible combination of the two levels of the
k factors.
Thus, the total number of runs in the base desi
Chapter 5: Control Charts
and Statistical Process
Control
SECTION 5.5
5.5 X -Charts
We now consider the case where the subgroup size is 1.
This occurs in practice when
Measurements are expensive, as in destructive testing.
Products require a long cycle
Chapter 5
Flow Lines
Types
Issues in Design and Operation
Models of Asynchronous Lines
Infinite or Finite Buffers
Models of Synchronous (Indexing) Lines
Closed-Loop Material Handling
Focus on the impact of variability on design, operation, and
perfo