2. Math 2 (Basic Statistics) MW 5:30-7:00pm

3. Prof. Danilo de Guzman Instructor

4. For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!! Hypothesis Testing: An Overview AN OVERVIEW OF THE HYPOTHESIS TESTING

5. For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!! Hypothesis Testing: An Overview Hypothesis Hypothesis - An Educated Guess Null Hypothesis – empty or resulting to zero results Alternative Hypothesis – an option or choice Research – systematic search using various tools

6. Hypothesis Testing: An Overview T-Test Testing differences between 2 means proportion etc., S.D. taken from the sample

7. Hypothesis Testing: An Overview Testing Hypothesis: Step 1 Formulate a null hypothesis & alternative null (H0) – there is NO significant differences between X1-X2 Alternative (H1) there is significant differences x1>x2 │x1<x2, x1≠x2

8. Hypothesis Testing: An Overview Step 2: df = n1 + n2 – 2 Step 3: Tabular value Step 4: Computed “ t ”

9. Hypothesis Testing: An Overview Step 5 Conclusion: T computed > that reject H0 T computed < that accept H0

10. Hypothesis Testing: An Overview F-Test Analysis of Variance (ANOVA) ─ Testing difference among 3 or more groups treatments, sample or population means or proportion.

11. Hypothesis Testing: An Overview Formulae: SStr = T 1 2 + T 2 2 + T 3 2 – T 2 N 1 N 2 N 3 N where: SStr = sum of squares of treatment T 1,T 2,T 3 = sum in each column T = total of all items or entries N = total number of items

12. Hypothesis Testing: An Overview SSt = Σx 2 – T 2 N Where: SSt = total sum of squares Σx 2 = x 2 1 + x 2 2 + x 2 3....... x 2 n

13. Hypothesis Testing: An Overview Where: SSe = sum of squares of error SS e = SSt - SStr

14. For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!! Hypothesis Testing: An Overview Mean Sum of Squares Treatment:MSStr = SStr K – 1 where: MSStr = mean sum of squares of treatment K = number of column K – 1 = degrees of freedom of numerator

15. Hypothesis Testing: An Overview MSSe = SSe N – K where: MSSe = mean sum of squares of error N – K = difference denominator Computed value of F Fc or F rationFc = MSStr MSSe

16. Hypothesis Testing: An Overview Some On-Line Resources www.mathaid.com/products/HypthsTest www.lhs.logan.k12.ut.us/~jsmart/hypothesis.html www.cas.lancs.ac.uk/glossary_v1.1/hyptest.html

17. Hypothesis Testing: An Overview Powerpoint and Research by: Karlo Celis A. Bacsafra On-Line Research by : Edward Azucenas II