Graphical Analysis of Variance (Graphical ANOVA) This set of slides ...

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Does paper type have an effect on mean distance? Observe that, for the ith sample, Var( √ n ¯X i ) = σ 2 if variability is due only to unmeasured factors. the variability <strong>of</strong> (scaled) sample averages ∼ the variability in the errors, when paper type has no effect. 22
Does paper type have an effect on mean distance? Let ¯X = the grand mean <strong>of</strong> the flight distances. If paper type has no effect on distance, then √ n( ¯X i − ¯X) and the errors will both have mean 0 and the same variance. (Why do we need to subtract the grand mean?) 23
Page 1 and 2: Graphical Analysis of Variance (Gra
Page 3 and 4: A Paper Airplane Experiment Does th
Page 5 and 6: The Paper Airplane Experiment Data
Page 7 and 8: Paper Airplane Data > tail(airplane
Page 9 and 10: Compare Averages for the 3 Groups F
Page 11 and 12: Compare Averages for the 3 Groups N
Page 13 and 14: Discussion Some of the possibilitie
Page 15 and 16: Identifying Within Group Variation
Page 21: Does paper type have an effect on m
Page 25 and 26: Graphically testing whether paper t
Page 27 and 28: The Graphical Test Histogram of err
Page 29 and 30: The Graphical ANOVA Procedure 1. Co
Page 31 and 32: Application of the function to the
Page 33 and 34: Motor Vibration Example 5 different
Page 35 and 36: Motor Vibration Data > names(motor)
Page 37 and 38: Motor Vibration Data > names(motors
Page 39 and 40: Motor Vibration Data Frequency 0 2
Page 41 and 42: An Example Using Simulated Data Wha
Page 43 and 44: Simulated Data > graphicalANOVA(pre

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