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Designing experiments - keeping it simple

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Presentation on theme: "Designing experiments - keeping it simple"— Presentation transcript:

1 Designing experiments - keeping it simple
Quantitative Methods Designing experiments - keeping it simple

2 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design Replication Randomisation Blocking

3 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design

4 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design Design and analysis Replication Degrees of freedom

5 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design Replication Randomisation Blocking

6 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design

7 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design Unit Tr RandTr 1 A 2 A 3 A 4 A 5 B 6 B 7 B 8 B 9 C 10 C 11 C 12 C 13 D 14 D 15 D 16 D sample 16 Tr RandTr

8 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design Unit Tr RandTr 1 A C 2 A B 3 A D 4 A B 5 B B 6 B A 7 B D 8 B A 9 C D 10 C B 11 C A 12 C C 13 D C 14 D D 15 D C 16 D A sample 16 Tr RandTr

9 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design Design and analysis Replication Randomisation Degrees of freedom Valid estimate of EMS

10 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design

11 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design Design and analysis Replication Randomisation Degrees of freedom Valid estimate of EMS

12 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design Replication Randomisation Blocking

13 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design

14 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design

15 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design

16 Three principles of experimental design
Designing experiments - keeping it simple Three principles of experimental design Design and analysis Replication Randomisation Blocking Degrees of freedom Valid estimate of EMS Elimination

17 Fitted values and models
Designing experiments - keeping it simple Fitted values and models

18 Fitted values and models
Designing experiments - keeping it simple Fitted values and models

19 Fitted values and models
Designing experiments - keeping it simple Fitted values and models Term Coef Constant BLOCK BEAN

20 Fitted values and models
Designing experiments - keeping it simple Fitted values and models Term Coef Constant BLOCK BEAN

21 Fitted values and models
Designing experiments - keeping it simple Fitted values and models Term Coef Constant BLOCK BEAN

22 Fitted values and models
Designing experiments - keeping it simple Fitted values and models Term Coef Constant BLOCK BEAN BEAN BLOCK

23 Fitted values and models
Designing experiments - keeping it simple Fitted values and models Term Coef Constant BLOCK BEAN BEAN BLOCK So the fitted value for a plot in Block 2 planted with bean variety 6 is

24 Fitted values and models
Designing experiments - keeping it simple Fitted values and models Term Coef Constant BLOCK BEAN BEAN BLOCK So the fitted value for a plot in Block 2 planted with bean variety 6 is

25 Fitted values and models
Designing experiments - keeping it simple Fitted values and models Term Coef Constant BLOCK BEAN BEAN BLOCK So the fitted value for a plot in Block 2 planted with bean variety 6 is

26 Fitted values and models
Designing experiments - keeping it simple Fitted values and models Term Coef Constant BLOCK BEAN BEAN BLOCK So the fitted value for a plot in Block 2 planted with bean variety 6 is ( )

27 Fitted values and models
Designing experiments - keeping it simple Fitted values and models Term Coef Constant BLOCK BEAN BEAN BLOCK So the fitted value for a plot in Block 2 planted with bean variety 6 is ( ) = Advantages of mean and differences

28 Designing experiments - keeping it simple
Orthogonality

29 Designing experiments - keeping it simple
Orthogonality

30 Designing experiments - keeping it simple
Orthogonality

31 Designing experiments - keeping it simple
Orthogonality

32 Designing experiments - keeping it simple
Orthogonality

33 Designing experiments - keeping it simple
Orthogonality

34 Design and analysis Orthogonality Replication Randomisation Blocking
Designing experiments - keeping it simple Orthogonality Design and analysis Replication Randomisation Blocking Orthogonality Degrees of freedom Valid estimate of EMS Elimination Seq=Adj SS

35 Next week: Combining continuous and categorical variables
Designing experiments - keeping it simple Last words… Experiments should be designed and not just happen Think about reducing error variation and replication: enough separate datapoints randomisation: avoid bias and give separateness blocking: managing the unavoidable error variation The statistical ideas we’ve been learning so far in the course help us to understand experimental design and analysis Next week: Combining continuous and categorical variables Read Chapter 6


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