19. The following matrix presents the results of a two- factor study with n = treatment conditions. Note that one of the treatment 10 scores in each of the six means is missing. Factor B B, B, M = 10 M = 20 | M = 40 A, Factor A A, M= 20 | M = 30 a. What value for the missing mean would result in no main effect for factor A? b. What value for the missing mean would result in no interaction? 20. A researcher conducts an independent-measures, two-factor study using a separate sample of n = 15 participants in each treatment condition. The results are evaluated using an ANOVA and the researther reports an F-ratio with df = 1, 84 for factor A, and an F-ratio with df = 2, 84 for factor B. a. How many levels of factor A were used in the study? b. How many levels of factor B were used in the study? c. What are the df values for the F-ratio evaluating B.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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19. The following matrix presents the results of a two-
factor study with n =
treatment conditions. Note that one of the treatment
10 scores in each of the six
means is missing.
Factor B
B,
B,
M = 10
M = 20 | M = 40
A,
Factor A
A,
M= 20 | M = 30
a. What value for the missing mean would result in
no main effect for factor A?
b. What value for the missing mean would result in
no interaction?
20. A researcher conducts an independent-measures,
two-factor study using a separate sample of n = 15
participants in each treatment condition. The results
are evaluated using an ANOVA and the researther
reports an F-ratio with df = 1, 84 for factor A, and
an F-ratio with df = 2, 84 for factor B.
a. How many levels of factor A were used in the
study?
b. How many levels of factor B were used in the
study?
c. What are the df values for the F-ratio evaluating
B.
Transcribed Image Text:19. The following matrix presents the results of a two- factor study with n = treatment conditions. Note that one of the treatment 10 scores in each of the six means is missing. Factor B B, B, M = 10 M = 20 | M = 40 A, Factor A A, M= 20 | M = 30 a. What value for the missing mean would result in no main effect for factor A? b. What value for the missing mean would result in no interaction? 20. A researcher conducts an independent-measures, two-factor study using a separate sample of n = 15 participants in each treatment condition. The results are evaluated using an ANOVA and the researther reports an F-ratio with df = 1, 84 for factor A, and an F-ratio with df = 2, 84 for factor B. a. How many levels of factor A were used in the study? b. How many levels of factor B were used in the study? c. What are the df values for the F-ratio evaluating B.
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