**NATCOR
Simulation Block E**

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**Topic
of Study: Experimental Design and Analysis**

The
lectures are based on *Working Notes *covering the following:

**I Statistical
Metamodels**

1. Introduction

2. Statistical MetaModels

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**II Classical
Methods**

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3. Random Variables

4. Fitting Parametric Distributions to Random Samples; Input Modelling

5. Maximum Likelihood Estimation

6. Accuracy of MLEs

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**III Computer
Intensive Methods**

7. Empirical Distribution Functions

8. Basic Bootstrap Method

9. Evaluating the Distribution of MLEs by Bootstrapping

10. Comparing Samples Using the Basic Bootstrap

11. The Parametric Bootstrap

12 Goodness of Fit Testing

12.1 Classical Goodness of Fit

12.2. Bootstrapping a GOF statistic

13 Comparison of Different Models; Model Selection

**IV Design
of Experiments**

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14. Linear Regression Metamodels

15. Fitting and Assessing the Linear Model

15.1 Least Squares Estimation

15.2 ANOVA

15.3 Individual Coefficients

16 Prediction with the Linear Model

17 Additional Explanatory Variables

18 Experimental Designs

18.1 Main Effects Model

18.1.1 Factorial Design

18.1.2 Plackett-Burman Designs

19 Interactions

20 Central Composite Designs

21 Comments on Design of Experiments

22 Final Comments

You
can access the working notes by clicking on the links given below. The Working
Notes are meant to be *worked through*.

They
contain* Examples *and* Exercises*. These illustrate the topic or
method being discussed. They are an essential part of the text and *must*
be carefully studied.

Many of the Examples and Exercises come with their own link. (i) Some of the links contain additional notes and more detailed formulas, (ii) The other links are to actual spreadsheets containing data and the worked details using the data.

Some of the initial spreadsheets contain elementary exercises connected with generating random variables and simple sampling experiments. You should aim to do these exercises yourself independently of the worked solutions and then compare your solution with that supplied. The point of these exercises is to give you familiarity with basic formulas and functions that you will need for the more complicated later examples.

The
other spreadsheets contain more substantial problems. These are solved using VBA
macros for carrying out more substantial calculations and more extensive
analyses. You are ** not** expected to write your own macros to
duplicate these macros. However you should spend sufficient time using and
studying the macros to understand how they function.

In the spreadsheets, the following convention for cells is used:

Cells with a Yellow background - Headings, Incidental Information

Cells with a Green background - Input Information used in calculations on that Sheet

Intermediate Results and Calculations are not usually coloured.

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Links

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• Lectures/Labs Diary

Lab WorkSheets

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References are provided in the Course Profile and at the end of Part IV

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**Stop
Press**

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