11.2. The One-Way ANOVA Test http://www.ck12.org
multiplet-tests, the probability of making a Type I error would ___.- In the ANOVA method, we use the ___ distribution.
a. Student’st-
b. normal
c.F- - In the ANOVA method, we complete a series of steps to evaluate our hypothesis. Put the following steps in
chronological order.
a. Calculate the mean squares between groups and the means squares within groups
b. Determine the critical values in theF-distribution
c. Evaluate the hypothesis
d. Calculate the test statistic
e. State the null hypothesis
A school psychologist is interested whether or not teachers affect the anxiety scores among students taking
theAPStatistics exam. The data below are the scores on a standardized anxiety test for students with three
different teachers.
TABLE11.3: Teacher’s Name
Ms. Jones Mr. Smith Mrs. White
8 23 21
6 11 21
4 17 22
12 16 18
16 6 14
17 14 21
12 15 9
10 19 11
11 10
13- State the null hypothesis.
- Using the data above, please fill out the missing values in the table below.
TABLE11.4:
Ms. Jones Mr. Smith Mrs. White Totals
Number(nk) 8 =
Total(Tk) 131 =
Mean(X ̄) 14. 6 =
Sum of Squared
Obs.(∑ni=k 1 Xik^2 )=
Sum of Obs.
Squared/Number of
Obs.(T 2
k
nk)
=
- What is the mean squares between groups(MSB)value?
- What is the mean squares within groups(MSW)value?
- What is theF-ratio of these two values?