In: Statistics and Probability
You operate a travel advisory website, and want to give your users advice on airline timeliness. You select 4 airlines, and monitor their delays at 5 airports. You record average delay times for each airline, at each airport. Then, you run a 2-way ANOVA and get the following partial Result: ANOVA Results Source of Variance SS df MS F Airline 314 Airport 219 Error Total 621
Step 2 of 7: What are the Degrees of Freedom (df) for the variability associated with the Airlines?
Step 3 of 7:
What is the Mean Square for the variability associated with Airports?
Step 4 of 7:
What is the F-statistic for variability associated with Airlines?
Step 5 of 7:
If you are testing for significant effects at the 0.01 level of significance, what would be the critical value of F for assessing the effect of Airlines?
Step 6 of 7:
Is the effect of Airlines significant at the 0.01 level of significance?
Step 7 of 7:
Is the effect of Airports significant at the 0.01 level of significance?
ANOVA | |||||
SS | df | MS | F | p-value | |
airline | 314 | 3.0000 | 104.6667 | 14.2728 | 0.000291 |
airport | 219 | 4.0000 | 54.7500 | 7.4659 | 0.002929 |
error | 88 | 12.0000 | 7.3333 | ||
total | 621 | 19.0000 |
2)
df airline = 4-1 = 3
3)
MS airport = 54.7500
4)
F =14.2728
5)
=F.INV.RT(0.01,C3,C5)
=5.9525
6)
yes, significant
7)
yes,significant