Compute the overall means for the scores in A,, the scores in A,, the scores in B₁, and the scores in B₂. Enter each of the means to the right of the appropriate row or below the appropriate column in the matrix. A, A₂ Treatment Mean M = 10 9 8 Make a graph of the results of the experiment. Use the blue points (circle symbol) to plot the means for level 1 of factor A (A.). Use the orange points (square symbol) to plot the means for level 2 of factor A (A). (Note: Line segments will automatically connect your points.) 7 2 B₁ M = 8 M = 4 1 0 B₂ M = 4 M = 8 M = + Level 1 Interaction? Main effect for factor A? Main effect for factor B? M = M = factor B Yes O Use the overall means and your graph to decide whether there appears to be a main effect for factor A, a main effect for factor B, and an interaction. No + Level 2 O factor A, level 1 factor A, level 2 ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
The results of a two-factor, independent-measures, equal n experiment are summarized in the following matrix. The numerical value in each cell is the mean score obtained from the sample in that treatment condition.
Compute the overall means for the scores in A₁, the scores in A₂, the scores in B₁, and the scores in B₂. Enter each of the means to the right of the appropriate row or below the appropriate column in the matrix.
Compute the overall means for the scores in A,, the scores in A₂, the scores in B₁, and the scores in B₂. Enter each of the means to the right of the
appropriate row or below the appropriate column in the matrix.
A₁
A₂
Treatment Mean
M =
10
9
8
Make a graph of the results of the experiment. Use the blue points (circle symbol) to plot the means for level 1 of factor A (A₁). Use the orange points
(square symbol) to plot the means for level 2 of factor A (A₂). (Note: Line segments will automatically connect your points.)
7
CO
5
B₁
1
M = 8
M = 4
3
1
B₂
2
M = 4
M = 8
M =
+
Level 1
Interaction?
Main effect for factor A?
Main effect for factor B?
M =
M =
factor B
Yes
Use the overall means and your graph to decide whether there appears to be a main effect for factor A, a main effect for factor B, and an interaction.
No
O
+
Level 2
O
factor A, level 1
factor A, level 2
?
Transcribed Image Text:Compute the overall means for the scores in A,, the scores in A₂, the scores in B₁, and the scores in B₂. Enter each of the means to the right of the appropriate row or below the appropriate column in the matrix. A₁ A₂ Treatment Mean M = 10 9 8 Make a graph of the results of the experiment. Use the blue points (circle symbol) to plot the means for level 1 of factor A (A₁). Use the orange points (square symbol) to plot the means for level 2 of factor A (A₂). (Note: Line segments will automatically connect your points.) 7 CO 5 B₁ 1 M = 8 M = 4 3 1 B₂ 2 M = 4 M = 8 M = + Level 1 Interaction? Main effect for factor A? Main effect for factor B? M = M = factor B Yes Use the overall means and your graph to decide whether there appears to be a main effect for factor A, a main effect for factor B, and an interaction. No O + Level 2 O factor A, level 1 factor A, level 2 ?
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