Bài giảng tối ưu hóa Bài 4 ANOVA Ph.D Lê Minh Tâm

Chapter 13: ANOVA -- Tâm Minh LêThe objective of ANOVA is to compare several means two or more by comparing variances.. Chapter 13: ANOVA -- Tâm Minh Lêoats wheat... Chapter 13: ANOVA --

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Chapter 13: ANOVA Tâm Minh Lê

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Chapter 13: ANOVA Tâm Minh Lê 5/21/2019 3

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The objective of ANOVA is to compare several means (two or more) by comparing variances.

How can that work?

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• wheat

• oats

Diet

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oats wheat

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oats wheat

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SSR

SST

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In which case we have

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Objective

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Procedure

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Look up

Appendix A5

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• wheat

• oats

Diet

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One way ANOVA

Variation of y can be explained by a single

factor x

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Preliminary step: checking assumptions

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Research question:

Does one garden is different from the another with respect to

ozone concentration ?

Null hypothesis Alter hypothesis

1 Define null and alternative hypotheses

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Research question for general cases:

Does one garden is different from the others with respect to

ozone concentration ?

Null hypothesis Alter hypothesis

1 Define null and alternative hypotheses

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2 Set the criterion

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3 Collect sample data

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5 Interpret results

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Do you have any remarks on SST ?

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Do you have any remarks on SST ?

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SST (of dependent variable) will never change

regardless of the number of qualitative

independent variables ?

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SSR

SST = SSR + SSE

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for your attention

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