Lecture 11.pptx - Analysis of Variance(One-way ANOVA...

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Analysis of Variance (One-way ANOVA)
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Example In a biological experiment, 4 concentrations of a certain chemical are used to enhance the growth of a certain type of plant over a specified period of time. The following growth data, in centimeters, were recorded for the plants that survived: Is there a significant difference in the average growth of these plants for the different concentrations of the chemicals? Test at 1% level of significance. Concentration 1 8.2 8.7 9.4 9.2 Concentration 2 7.7 8.4 8.6 8.1 8.0 Concentration 3 6.9 5.8 7.2 6.8 7.4 6.1 Concentration 4 6.8 7.3 6.3 6.9 7.1
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Test of Hypothesis on more than 2 popn means: ANOVA Objective: To compare the means of p pop’ns Possibilities: > Pop’ns have equal means > At least one pop’n has a different mean Basic Idea: Partition variability into… 1. between pop’ns 2. within pop’ns (inherent variability)
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Example In a biological experiment, 4 concentrations of a certain chemical are used to
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