question archive Problem Set 4
Problem Set 4
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Problem Set 4.4: One-way ANOVA Results
Criterion: Report ANOVA results
Data: Use the results from Problem Set 4.4. Ask the tutor
Instructions: Complete the following:
a. State the null hypothesis. __The different level of stress has no effect on the fat cumulating over time. __They are equal to each other._______________________________
b. Report your results (as you might see them reported in a journal article). I used the one-way ANOVA method and the Microsoft Excel it demonstrated the was testing the same group of participants on each level using one factor. The p-value is less than 0.5 which makes it significant to greater effect of power because the critical value is decreasing. _The stress levels are high, moderate, and low. ________________________________
4.3 data
ANOVA: Single Factor
SUMMARY
Groups Count Sum Average Variance
HIGH 5 43 8.6 5.8
MOD. 5 34 6.8 3.7
LOW 5 31 6.2 3.7
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 15.6 2 7.8 1.772727273 0.211576255 3.885293835
Within Groups 52.8 12 4.4
Total 68.4 14
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detailed solution below.
Step-by-step explanation
One way ANOVA is used to test the difference between means two or more independent groups.
a)
H0 : Null hypothesis : All the three means are same.
b)
Test statistic , f = 1.773
F crit = 3.885
Since , F < 3.895 , we fail to reject the null hypothesis.
Conclusion : we can conclude that there exists no difference between the means of low , moderate and high groups.
