2SH 3SH 4SH 15.8 63.2 92.4 16.2 59.1 101.5 14.6 71.0 79.4 59.0 42.8 79.2 62.6 10
ID: 3126276 • Letter: 2
Question
2SH 3SH 4SH
15.8 63.2 92.4
16.2 59.1 101.5
14.6 71.0 79.4
59.0 42.8 79.2
62.6 102.9 76.2
53.4 92.6 72.7
13.6 36.9 104.1
58.4 42.6 76.2
Source of Variation
Degree of freedom
Sum of Squares
Mean Square
F
Group
Error
Total
One way Anova:
a) What is the null hypothesis of this problem?
b) Calculate the degree of freedom for Group, Error and Total. Fill in the corresponding space in the table
c) Calculate the Grand mean
d) Calculate the Group Mean for each group
e) Calculate the sum of Squares across Group (SSGr). Fill in the corresponding space above the table
f) Calculate the sum of squares due to random error within groups SSE . Also calculate the total sum of Square (SST)fill in the corresponding spaces in the above table
g) Calculate the Mean Square for the Group MSGr fill in the corresponding space table
h) Calculate the mean square for error (MSE) fill in the correspond space in the above table.
i) Calculate F= MSGr/MSE . Fill in the correspond space in the table above
j) What is the Falpoha for alpha =0.05
Source of Variation
Degree of freedom
Sum of Squares
Mean Square
F
Group
Error
Total
Explanation / Answer
from Excel
1) Null hypothesis: All the groups have equal means
b) df
d)
e)
Anova: Single Factor SUMMARY Groups Count Sum Average Variance 2sh 8 293.6 36.7 542.4229 3sh 8 6353 794.125 4258562 4sh 8 681.7 85.2125 151.8041 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 2876275 2 1438137 1.01295 0.380214 3.4668 Within Groups 29814791 21 1419752 Total 32691066 23Related Questions
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