ANOVA

Question 1

An ______ test is a way to find out if survey or experiment results are significant. In other words, they help you to figure out if you need to reject the null hypothesis or accept the alternate hypothesis. You’re testing groups to see if there’s a difference between them

Answer 1

ANOVA

Question 2

A ___________ is used to compare two means from two independent (unrelated) groups using
the F-distribution.

Answer 2

one way ANOVA

Question 3

The null hypothesis for one way ANOVA is that the two means are _____. Therefore, a significant result means that the two means are ______.

Answer 3

equal, unequal

Question 4

T or F: A one way ANOVA will tell you that at least two groups were the same from each other. But it
won’t tell you which groups were different.

Answer 4

False, different (the same)

Question 5

If your test returns a significant f-statistic, you may need to run an __________ (like the Least Significant Difference test) to tell you exactly which groups had a difference in means.

Answer 5

ad hoc test

Question 6

If the computed F value is greater
than the tabulated F value, then the null hypothesis is _________.

Answer 6

rejected

Question 7

If the computed F value is less
than the tabulated F value, then the null hypothesis is ________.

Answer 7

accepted

Question 8

𝑡𝑜𝑡𝑎𝑙 𝑑f formula

Answer 8

𝑡𝑑𝑓 = 𝑛 − 1

Question 9

𝑡𝑟𝑒𝑎𝑡𝑚𝑒𝑛𝑡 𝑑𝑓 formula

Answer 9

𝑡𝑟𝑡𝑑𝑓 = 𝑘 − 1

Question 10

K means

Answer 10

the number of methods being compared

Question 11

𝑒𝑟𝑟𝑜𝑟 𝑑f

Answer 11

𝑒𝑑𝑓 = 𝑡𝑑𝑓 − 𝑡𝑟𝑡𝑑f

Question 12

Total sum of squares (TSS)

Answer 12

𝑇𝑆𝑆 = ∑𝑦2𝑖𝑗 − 𝐶F

Question 13

Treatment sum of squares (TrSS)

Answer 13

𝑇r𝑆𝑆 = ∑𝑦2𝑖 / 𝑛i − 𝐶F

Question 14

Error sum of squares (ESS)

Answer 14

𝐸𝑆𝑆 = 𝑇𝑆𝑆 − 𝑇𝑟𝑆S

Question 15

Treatment Mean Square (MSTr)

Answer 15

𝑀𝑆𝑇𝑟 = 𝑇𝑟𝑆𝑆 / 𝑡𝑟𝑡𝑑f

Question 16

Error Mean Square (MSE)

Answer 16

𝑀𝑆𝐸 = 𝐸𝑆𝑆 / 𝑒𝑑f

Question 17

Computed F value

Answer 17

𝐹𝑐 = 𝑀𝑆𝑇𝑟 / 𝑀𝑆E

Question 18

The ANOVA is used when the research question involves the comparisons of ______ from more
than two independent groups.

Answer 18

means

Question 19

The groups are _________.
The variance for each of the groups is _______.
The outcome comes from the ___________.

Answer 19

independent, the same, normal distribution

Question 20

In this analysis, the goal is to take the variability of the outcome and divide it into the variability
between the groups and the variability within groups. This statistical tool helps us to answer a
___________ by splitting up the sources of variability. Therefore, the ANOVA provides a statistical
test for determining whether there is _____________ to reject the null hypothesis that all the means are _____.

Answer 20

hypothesis, enough evidence, equal

Question 20

In this analysis, the goal is to take the variability of the outcome and divide it into the variability
between the groups and the variability within groups. This statistical tool helps us to answer a
___________ by splitting up the sources of variability. Therefore, the ANOVA provides a statistical
test for determining whether there is _____________ to reject the null hypothesis that all the means are _____.

Answer 20

hypothesis, enough evidence, equal