Oneway Aneva ? Summary of Fi Analysis of Varlance Means fer Oneway Aneva 3 3720

Question

Oneway Aneva ? Summary of Fi Analysis of Varlance Means fer Oneway Aneva 3 3720 7731 29 30 ur -IIRS 25252980 :rm, 2002127763 Figure i: Some of the raw data ralues (at left), and initial ANOVA results from the Drosophila DDT study. (b) Identify numerically all occurrences of the following quantities in Figure 4: the degrees of freedom between groups DFs, the degrees of freedom within groups DFw. the total degrees of freedom DFr, the sum of squares between groups SSB, the sum of squares within groups SSw, the total sum of squares SSr, the mean square between groups MSB, the mean square within groups MSw. the F statistic for testing the null hypothesis that all of the population means are equal (?-?2 = ?3-?), the P value corresponding to this F statistic, the pooled variance estimate ?2. the root mean squared error and its relationship to O2, and the grand mean p. 120 points!

Explanation / Answer

(b)DFB=2 ,DFW=72,DFT=74,SSB=1362.2115, SSW=5659.8024, SST=7021.2339

F=8.6657, P-value=0.0004, pooled variance=78.5957,

root mean square error=sqrt(pooled variance)=sqrt(78.5957)=8.8655

(c) required large statistical term=sqrt(2*pooled variace/r)*t(error df)=sqrt(2*78.5957/25)*t(0.05,72)=

=sqrt(2*78.5957/25)*1.9935=4.9987

(d)

(e) there is at least one of the drosophila differ from another and the drosophila NS-RS and NS-SS are significantley different from each other but RS-SS are not significantly different.

is 0 in this Diff SE(Diff) t-value lsd left right interval stat sig NS-RS 8.12 2.51 2.17 5.4467 2.6733 13.5667 no yes NS-SS 9.75 2.51 2.17 5.4467 4.3033 15.1967 no yes RS-SS 1.63 2.51 2.17 5.4467 -3.8167 7.0767 yes no

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