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Math 2 (Basic Statistics) MW 5:30-7:00pm. Prof. Danilo de Guzman Instructor. AN OVERVIEW OF THE HYPOTHESIS TESTING. Hypothesis Testing: An Overview.
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AN OVERVIEW OF THE HYPOTHESIS TESTING Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
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 Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
T-Test • Testing differences between 2 means proportion etc., S.D. taken from the sample Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
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 Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
Step 2: • df = n1 + n2 – 2 Step 3: • Tabular value Step 4: • Computed “ t ” Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
Step 5 • Conclusion: T computed > that reject H0 T computed < that accept H0 Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
F-Test • Analysis of Variance (ANOVA) ─ Testing difference among 3 or more groups treatments, sample or population means or proportion. Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
Formulae: • SStr = T12 + T22 + T32 – T2 N1 N2 N3 N where: SStr = sum of squares of treatment T1,T2,T3 = sum in each column T = total of all items or entries N = total number of items Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
SSt = Σx2 – T2 N Where: SSt = total sum of squares Σx2 = x21 + x22 + x23 ....... x2n Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
SSe = SSt - SStr Where: SSe = sum of squares of error Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
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 Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
MSSe = SSe N – K where: MSSe = mean sum of squares of error N – K = difference denominator Computed value of F Fc or F ration Fc = MSStr MSSe Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
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 Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!
Powerpoint and Research by: Karlo Celis A. Bacsafra On-Line Research by: Edward Azucenas II Hypothesis Testing: An Overview <BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at izecool_mint22@yahoo.com. More power to New Era University!!!