A two-way ANOVA experiment with no Interaction is conducted. Factor A has four levels (columns) and Factor B has seven levels (rows). Assume normality in the underlying populations. The results include the following sum of squares terms: SST=321.6 SSA=154.0 SSE = 65.2 a. Construct an ANOVA table. (Round "SS" and "MS" to 2 decimal places and "P" to 3 decimal places.) ANOVA Source of Variation Rows Columns | Error Total SS df No, since we do not reject the null hypothesis. O Yes, since we do not reject the null hypothesis. O No, since we reject the null hypothesis. O Yes, since we reject the null hypothesis. MS b. At the 1% significance level, can you conclude that the row means differ? F O Yes, since we reject the null hypothesis. O No, since we reject the null hypothesis. O Yes, since we do not reject the null hypothesis. O No, since we do not reject the null hypothesis. c. At the 1% significance level, can you conclude that the column means differ? p-value 0.005 0.000
A two-way ANOVA experiment with no Interaction is conducted. Factor A has four levels (columns) and Factor B has seven levels (rows). Assume normality in the underlying populations. The results include the following sum of squares terms: SST=321.6 SSA=154.0 SSE = 65.2 a. Construct an ANOVA table. (Round "SS" and "MS" to 2 decimal places and "P" to 3 decimal places.) ANOVA Source of Variation Rows Columns | Error Total SS df No, since we do not reject the null hypothesis. O Yes, since we do not reject the null hypothesis. O No, since we reject the null hypothesis. O Yes, since we reject the null hypothesis. MS b. At the 1% significance level, can you conclude that the row means differ? F O Yes, since we reject the null hypothesis. O No, since we reject the null hypothesis. O Yes, since we do not reject the null hypothesis. O No, since we do not reject the null hypothesis. c. At the 1% significance level, can you conclude that the column means differ? p-value 0.005 0.000
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Subject : Statestic
![A two-way ANOVA experiment with no Interaction is conducted. Factor A has four levels (columns) and Factor B has seven levels
(rows). Assume normality in the underlying populations. The results include the following sum of squares terms:
SST=321.6 SSA = 154.0 SSE = 65.2
a. Construct an ANOVA table. (Round "SS" and "MS" to 2 decimal places and "P" to 3 decimal places.)
ANOVA
Source of Variation
Rows
Columns
Error
Total
SS
df
No, since we do not reject the null hypothesis.
Yes, since we do not reject the null hypothesis.
O No, since we reject the null hypothesis.
Yes, since we reject the null hypothesis.
b. At the 1% significance level, can you conclude that the row means differ?
MS
Yes, since we reject the null hypothesis.
No, since we reject the null hypothesis.
F
c. At the 1% significance level, can you conclude that the column means differ?
Yes, since we do not reject the null hypothesis.
No, since we do not reject the null hypothesis.
p-value
0.005
0.000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fc66754-dc05-453a-a4c8-c79196bcb5d1%2F3f8407fc-ec48-411f-bbd2-592e09e09162%2Fkdutf49_processed.png&w=3840&q=75)
Transcribed Image Text:A two-way ANOVA experiment with no Interaction is conducted. Factor A has four levels (columns) and Factor B has seven levels
(rows). Assume normality in the underlying populations. The results include the following sum of squares terms:
SST=321.6 SSA = 154.0 SSE = 65.2
a. Construct an ANOVA table. (Round "SS" and "MS" to 2 decimal places and "P" to 3 decimal places.)
ANOVA
Source of Variation
Rows
Columns
Error
Total
SS
df
No, since we do not reject the null hypothesis.
Yes, since we do not reject the null hypothesis.
O No, since we reject the null hypothesis.
Yes, since we reject the null hypothesis.
b. At the 1% significance level, can you conclude that the row means differ?
MS
Yes, since we reject the null hypothesis.
No, since we reject the null hypothesis.
F
c. At the 1% significance level, can you conclude that the column means differ?
Yes, since we do not reject the null hypothesis.
No, since we do not reject the null hypothesis.
p-value
0.005
0.000
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