Question

A researcher conducts a two-way ANOVA test with interaction and provides the following ANOVA table. |

a. |
Find the missing values in the
ANOVA table. (Round your answers to 2 decimal
places.) |

ANOVA | ||||||

Source of
Variation |
SS |
df |
MS |
F |
p-value |
F
crit |

Sample | 766.98 | 2 | MSB
= |
F_{factor B} = |
0.0109 | 3.885 |

Columns | 12,122.69 | 1 | MSA
= |
F_{factor A} = |
0 | 4.747 |

Interaction | 57.60 | 2 | MSAB
= |
F_{Interaction} = |
0.6148 | 3.885 |

Within | 682.14 | 12 | MSE
= |
|||

Total | 13,629.41 | 17 | ||||

Answer #1

completing above table"

ANOVA | ||||||

Source of Variation | SS | df | MS | F | p-value | F crit |

Sample | 766.98 | 2 | 383.49 | 6.75 | 0.0109 | 3.885 |

Columns | 12,122.69 | 1 | 12122.69 | 213.26 | 0 | 4.747 |

Interaction | 57.6 | 2 | 28.80 | 0.51 | 0.6148 | 3.885 |

Within | 682.14 | 12 | 56.85 | |||

Total | 13,629.41 | 17 |

A researcher conducts a two-way ANOVA test with interaction and
provides the following ANOVA table.
a.
Find the missing values in the
ANOVA table. (Round your answers to 2 decimal
places.)
ANOVA
Source of
Variation
SS
df
MS
F
p-value
F
crit
Sample
766.98
2
MSB
=
Ffactor B =
0.0109
3.885
Columns
12,122.69
1
MSA
=
Ffactor A =
0
4.747
Interaction
57.60
2
MSAB
=
FInteraction =
0.6148
3.885
Within
682.14
12
MSE
=
Total
13,629.41
17
b....

A researcher conducts a 2 way ANOVA test with interaction and
provides the following ANOVA table.
Find the missing values in the ANOVA table.
Source
SS
Df
MS
F
p-value
F crit
Sample
700.21
2
.014
Columns
12,199.15
1
5.02E-09
Interaction
56.34
2
0.62
Within
680.38
12
Total
13,636.08
17
At the 5% significance level, can you conclude that there is an
interaction effect?
At the 5% significance level, can you conclude that the column
means differ?
At the 5%...

The following output summarizes a portion of the results for a
two-way analysis of variance experiment with no interaction. Factor
A consists of four different kinds of organic fertilizers,
factor B consists of three different kinds of soil acidity
levels, and the variable measured is the height (in inches) of a
plant at the end of four weeks.
a.
Find the missing values in the ANOVA table. (Carry at
least four decimal places in all intermediate calculations. Do NOT
use...

Consider the partial ANOVA table shown below. Let a = .01
Source of Variation
DF
SS
MS
F
Between Treatments
3
180
Within Treatments (Error)
Total
19
380
If all the samples have five observations each:
there are 10 possible pairs of sample means.
the only appropriate comparison test is the Tukey-Kramer.
all of the absolute differences will likely exceed their
corresponding critical values.
there is no need for a comparison test – the null hypothesis is
not rejected.
2...

Consider the following partially completed two-way ANOVA table.
Suppose there are 2 levels of Factor A and 3 levels of Factor B.
The number of replications per cell is 3. Use the 0.01 significance
level. (Hint: estimate the values from the F table.)
Source
SS
df
MS
F
Factor A
525
Factor B
60
Interaction
325
Error
625
Total
1,535
Complete an ANOVA table. (Round MS and F to 2
decimal places.)
Find the critical values to test for equal...

Directions: Use what you know about the relationships among the
values in a source table to fill in the missing data. Then test if
the F ratios are significant. Indicate your answers in
bold text.
1.
Source
SS
df
MS
F
Between-groups
Rows
100
2
Columns
200
1
Interaction
80
2
Within-groups
300
25
Total
2.
Source
SS
df
MS
F
Between-groups
Rows
2
33
Columns
200
3
Interaction
150
6
Within-groups
300
Total
41

onsider the following partially completed two-way ANOVA table.
Suppose there are 2 levels of Factor A and 3 levels of Factor B.
The number of replications per cell is 3. Use the 0.01 significance
level. (Hint: estimate the values from the F table.)
Complete an ANOVA table. (Round MS and F to 2
decimal places.)
SS df MS F
Factor A 100(SS)
Factor B 30(SS)
interaction 250(SS)
Error 200(SS)
Total 580(SS)
Find the critical values to test for equal means....

Respond to each of the following questions using this partially
completed one-way ANOVA table. Source SS DF MS F Between 470 Within
40 Total 1264 44 (a). How many different populations are being
compared? (b). Fill in the ANOVA table with the missing (c). State
the appropriate null and the alternative (d). Based on the analysis
of variance F-test, what conclusion should be reached regarding the
null hypothesis? Test Using an α =0.05.

Consider the partially completed one-way ANOVA summary
table.
Source
SS
df
MS
F
Treatment
150
Error
17
Total
840
21
Using α = 0.05, the critical F-score for this ANOVA procedure
is ________.

10a
The following is an incomplete ANOVA table.
Source of Variation
SS
df
MS
F
Between groups
2
11.7
Within groups
Total
90
10
The value of the test statistic is
Multiple Choice
11.7
90
8.325
1.405

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