Consider the accompanying data collec ted for a randomized block ANOVA Complete
ID: 3131196 • Letter: C
Question
Consider the accompanying data collec ted for a randomized block ANOVA Complete parts a) through d) below Click the icon to view the data Click the icon to view a table of cntical F-scores a) Calculate the total sum of squares (SST) SST=(Round to two decimal places as needed) b) Partition the total sum of squares (SST) into its three components. SSB-(Round to two decimal places as needed) SSBL =LJ (Round to two decimal places as needed.) SSE-O (Round to two decimal places as needed.) c) Using = 0 05, what conclusions can be made about the population means? What are the correct hypotheses to tost for differences in the population means? More Info Block Sample 1 Sample 2 Sample 3 Sample 4 10 Print Done Not all the 's are equal
Explanation / Answer
Randomized Block Design (ANOVA: Two-Factor Without Replication)
SUMMARY
Count
Sum
Average
Variance
1
5
23
4.6000
12.8000
2
5
22
4.4000
3.3000
3
5
22
4.4000
1.3000
4
5
18
3.6000
4.3000
5
5
16
3.2000
3.2000
s1
5
19
3.8000
0.7000
s2
5
20
4.0000
3.5000
s3
5
31
6.2000
8.2000
s4
5
16
3.2000
3.7000
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Block
20.7000
4
5.1750
1.4211
0.2859
3.2592
Columns
25.8000
3
8.6000
2.3616
0.1227
3.4903
Error
43.7000
12
3.6417
Total
90.2000
19
Level of significance
0.05
SST=90.2
SSB=25.8
SSBL =20.7
SSE=43.7
Hypothesis: Option A.
Test statistic F=2.36
F critical F=3.490
Do not reject null hypothesis.
Treatments have n effect.
Hypothesis: Option A.
Test statistic F=1.42
F critical F=3.259
Do not reject null hypothesis
Blocking has no effect.
Randomized Block Design (ANOVA: Two-Factor Without Replication)
SUMMARY
Count
Sum
Average
Variance
1
5
23
4.6000
12.8000
2
5
22
4.4000
3.3000
3
5
22
4.4000
1.3000
4
5
18
3.6000
4.3000
5
5
16
3.2000
3.2000
s1
5
19
3.8000
0.7000
s2
5
20
4.0000
3.5000
s3
5
31
6.2000
8.2000
s4
5
16
3.2000
3.7000
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Block
20.7000
4
5.1750
1.4211
0.2859
3.2592
Columns
25.8000
3
8.6000
2.3616
0.1227
3.4903
Error
43.7000
12
3.6417
Total
90.2000
19
Level of significance
0.05
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