Embed Size (px)
Citation preview
Math 2 (Basic Statistics)MW 5:30-7:00pmMath 2 (Basic Statistics)MW 5:30-7:00pm
Prof. Danilo de GuzmanInstructor
Prof. Danilo de GuzmanInstructor
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
AN OVERVIEW OF THE HYPOTHESIS TESTING
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. 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
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
T-Test • Testing differences between 2
means proportion etc., S.D. taken from the sample
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!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
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
Step 2:• df = n1 + n2 – 2
Step 3:• Tabular value
Step 4:• Computed “ t ”
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
Step 5
• Conclusion:T computed > that reject H0T computed < that accept H0
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
F-Test
• Analysis of Variance (ANOVA)─ Testing difference among 3 or more groups treatments, sample or population means or proportion.
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
Formulae:
• SStr = T12 + T22 + T32 – T2
N1 N2 N3 Nwhere: 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
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
SSt = Σx2 – T2
NWhere: SSt = total sum of squares
Σx2 = x21 + x2
2 + x23 .......
x2n
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
Where: SSe = sum of squares of error
SSe = SSt - SStr
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. 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 treatmentK = number of columnK – 1 = degrees of freedom of numerator
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
MSSe = SSe N – K
where: MSSe = mean sum of squares of errorN – K = difference denominator
Computed value of FFc or F ration Fc = MSStr
MSSe
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!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
<BASIC STATISTICS – HYPOTHESIS TESTING> For your questions, comments, and suggestions, please e-mail us at [email protected]. More power to New Era University!!!Hypothesis Testing: An Overview
Powerpoint and Research by:Karlo Celis A. Bacsafra
On-Line Research by:Edward Azucenas II
