math 2 (basic statistics) mw 5:30-7:00pm prof. danilo de guzman instructor

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 izecool_mint22@yahoo.com. 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 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

<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 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 izecool_mint22@yahoo.com. 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 izecool_mint22@yahoo.com. 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 izecool_mint22@yahoo.com. 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 izecool_mint22@yahoo.com. 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 izecool_mint22@yahoo.com. 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 izecool_mint22@yahoo.com. 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 izecool_mint22@yahoo.com. 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 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 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 izecool_mint22@yahoo.com. 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 izecool_mint22@yahoo.com. 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 izecool_mint22@yahoo.com. 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