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An ANOVA test is performed using 5 groups, each with a sample size of 20. The...

An ANOVA test is performed using 5 groups, each with a sample size of 20. The level of significance is α=0.05. The F-value is calculated as F=2.17. Give the results of the test with a brief explanation.

Solutions

Expert Solution

Given,

No. of groups k = 5
dfbetween = k-1 = 5-1 = 4

Total no. of samples N = 20*5 = 100

dfwithin = N - k = 100 - 5 = 95

P-value corresponding to F(4,95) = 2.17 is obtained using p-value calculator. Screenshot below

P-value = 0.0782

Since p-value = 0.0782 > α = 0.05, we fail to reject null hypothesis

Conclusion

At 0.05 significance level, there is not enough evidence to reject the claim that population mean of 5 groups is same. In other words, no statistically significant difference between groups was found at 0.05 significance level.

orchestra answered 2 years ago
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