1. Comparison of Two Univariate Means
Shyh-Kang Jeng
Department of Electrical Engineering/
Graduate Institute of Communication/
Graduate Institute of Networking and Multimedia 1

2. Scenarios To test if the differences are significant between
Teaching using Power Point vs. using chalks and blackboard only
Drug vs. placebos
Processing speed of MP3 player model I of brand A vs. model G of brand B
Performance of students going to cram schools vs. those not

3. Experiment Design for Paired Comparisons1 2 3 n
. . .
. . .
Treatments
1 and 2
assigned at
random
Treatments
1 and 2
assigned at
random
Treatments
1 and 2
assigned at
random
Treatments
1 and 2
assigned at
random 3

4. Single Response (Univariate) Case4

5. Comparing Means from Two Populations
Without explicitly controlling for unit-to-unit variability, as in the paired comparison case
Experimental units are randomly assigned to populations
Applicable to a more general collection of experimental units 5

6. Assumptions Concerning the Structure of Data6

7. Pooled Estimate of Population Variance7

8. t-Statistics for Comparing Two Populations8

9. Test of Hypothesis 9