Question

Fill in the blanks for the ANOVA (One-way) below: Source SS df MS F Between _______ _3___ ______ ________ Within _1277__ ____ ______ ________ Total _2017__ _39

Answer #1

(A)SS(between) = SS(total) - SS(within)

using the given data table, we get

= 2017 - 1277

= 740

(B) df(within) = df(total) - df(between)

using the given data table, we get

= 39-3

= 36

(C) MS(between) = SS(between)/df(between)

using the given data table, we get

= 740/3

= 246.67

(D) MS(within) = SS(within)/df(within)

using the given data table, we get

= 1277/36

= 35.47

(E) F statistics = MS(between)/MS(within)

using the given data table, we get

= 246.67/35.47

= 6.95

Source | SS | df | MS | F |

Between | 740 | 3 | 246.67 | 6.95 |

Within | 1277 | 36 | 35.47 | |

Total | 2017 | 39 |

The results of a one-way ANOVA are reported below.
Source of variation
SS
df
MS
F
Between groups
7.18
3
2.39
21.73
Within groups
48.07
453
0.11
Total
55.25
456
How many treatments are there in the study?
What is the total sample size?
What is the critical value of F if p = 0.05?
Write out the null hypothesis and the alternate
hypothesis.
What is your decision regarding the null hypothesis?
Can we conclude any of the treatment means...

Fill in the rest of the table below and calculate F.
Source
SS
DF
MS
F
Between
2
35
Within
30
16
Total
100
Would the result above be significant if the critical value was
2.75?
What would eta2 be in the example above?

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 ________.

Fill in the missing values:
Source
SS
df
MS
F
Crit.
Total
94
Between
2
Within
63
3

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

The following is an incomplete ANOVA table.
Source of Variation
SS
df
MS
F
Between groups
2
11.8
Within groups
Total
100
10
The p-value of the test is
a) less than 0.14
b) between 0.01 and 0.038
c) between 0.025 and 0.18
d) greater tha

The following ANOVA table was obtained from a balanced
completely randomized design:
Source
df
SS
MS
F
Treatment
126
Error
20
16
Total
23
Fill in the blanks in this table.
Determine the number of treatments.
Determine the number of replications per treatment.
Perform a statistical test to see if there is a difference
between the true mean responses to the treatment.

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...

The summary for a one-way ANOVA is given below:
Source of Variation
SS
df
MSS
F
Treatment
……..
…….
…….
……
Error
80
8
…….
Total
428
11
Complete the missing values in the table.
Write the null and alternative hypothesis.
How may treatments are in this study? What is the number of
observations in this study?
Knowing that the critical value is 4.07, our decision would
be………………………

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.

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