Advanced Educational Statistics

1. ONE WAY ANOVA
PRINCESS MARYNEE V. MORGA
EDUC 201 ADVANCED EDUCATIONAL STATISTICS

2. ANOVA
ANALYSIS OF VARIANCE
Used to determine the
significance among normal
population means.

3. 7 steps
1. Define the null and alternative
hypotheses
2. State the alpha
3. Calculate the Degrees of freedom
4. State decision rule
5. Calculate test statistic
6. State result
7. State conclusion

4. 1. Define the null and alternative
hypotheses
Ho:µ1=µ 2=µ 3
Ha: not all µ’s are equal
2. State the alpha
Alpha = 0.05

5. SAMPLE DATA

6. 3. Calculate the degrees of freedom
df between= a-1 = 3- 1= 2
df within= N-a = 24-3= 21
df total= N-1= 24-1=23
F critical= 3.4668 (refer to the tabular value)
note: a is the number of conditions.
N is the total number of all items in
the sample data.

7. STANDARD TABULAR VALUE OR THE F TABLE

8. 4. Decision Rule
If F is greater than 3.3668, reject the null
Hypothesis.
5. Calculate the F (calculate test statistic)
SS dF MS F
Between
Within
Total

12. MS between= SS bet. /df bet.
= 2.88/2 = 1.44
MS within= SS within/ df within
= 6.06/21 = 0.288
F= MS between/ MS within
= 1.44/ 0.288 = 5

13. 6. State result
If F is greater than 3. 4668, reject the null
hypothesis.
7. State conclusion:
The three conditions differed significantly
at
F (2,21)= 5
note: 2 is the df between while 21 is the df
within.

14. THANKS 
GODBLESS 