Group A) 33.54 goes with A, B, and C; 0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the variation within groups is smaller relative to the variation between groups. B) 33.54 goes with A, B, and C; 0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the variation between groups is smaller relative to the variation within groups. C) 0.92 goes with A, B, and C; 33.54 goes with X, Y, and Z. The F-statistic for X, Y, and Z is larger because the variation within groups is smaller relative to the variation between groups. D) 0.92 goes with A, B, and C; 33.54 goes with X, Y, and Z. The F-statistic for X, Y, and Z is larger because the variation between groups is smaller relative to the variation within groups.

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25) Refer to the figure below. A ssume that all the distributions are symmetric (i.e. the sample mean and median are
approximately equal) and that all the samples sizes are the same. Imagine carrying out two ANOVAS. The first
ANOVA compares the means based on samples A, B, and C (left of the vertical line), and the second ANOVA
compares the means based on samples X, Y, and Z (right of the vertical line). One of the calculated values of the
F-statistic is 0.92 and the other is 33.54. Which value is which, and why?
Data
in HER2 on inv breast
aloo sals imme e to
60
50
Che
30
20
10
A
Group
A) 33.54 goes with A, B, and C; 0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the
variation within groups is smaller relative to the variation between groups.
B) 33.54 goes with A, B, and C;0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the
variation between groups is smaller relative to the variation within groups.
C) 0.92 goes with A, B, and C; 33.54 goes with X, Y, and Z. The F-statistic for X, Y, and Z is larger because the
variation within groups is smaller relative to the variation between groups.
D) 0.92 goes with A, B, and C; 33.54 goes with X, Y. and Z. The F-statistic for X, Y, and Z is larger because the
variation between groups is smaller relative to the variation within groups.
40
Transcribed Image Text:25) Refer to the figure below. A ssume that all the distributions are symmetric (i.e. the sample mean and median are approximately equal) and that all the samples sizes are the same. Imagine carrying out two ANOVAS. The first ANOVA compares the means based on samples A, B, and C (left of the vertical line), and the second ANOVA compares the means based on samples X, Y, and Z (right of the vertical line). One of the calculated values of the F-statistic is 0.92 and the other is 33.54. Which value is which, and why? Data in HER2 on inv breast aloo sals imme e to 60 50 Che 30 20 10 A Group A) 33.54 goes with A, B, and C; 0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the variation within groups is smaller relative to the variation between groups. B) 33.54 goes with A, B, and C;0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the variation between groups is smaller relative to the variation within groups. C) 0.92 goes with A, B, and C; 33.54 goes with X, Y, and Z. The F-statistic for X, Y, and Z is larger because the variation within groups is smaller relative to the variation between groups. D) 0.92 goes with A, B, and C; 33.54 goes with X, Y. and Z. The F-statistic for X, Y, and Z is larger because the variation between groups is smaller relative to the variation within groups. 40
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