Statistical Methods for Binomial Data

Statistical Methods for Binomial Data

CMS Revision 2, Revision date 8/21/00 (10045A&B)

Stats Revision 2.0.5 – February 2000

Material Originators:  Robert Cheney, Gayle Paraiso, Jenny Peraza, Woon Theng Saw

Files needed for Statistical Methods for Binomial Data

JMP Templates:

binomial.jmp - template for calculation of binomial probabilities

1propan.jmp - analysis template for 1-sample cases

2propan.jmp - analysis template for 2-sample cases

zds.jmp - zero defect sampling sample size calculations

pchart.jmp - template for creating control charts

prop_oc.jmp - template for creating OC curves

prop_calc.jmp - template for general binomial calculations

Data Files for Exercises:

ksample_ex01.jmp

ksample_ex02.jmp

ksample_ex03.jmp

encap1.jmp

encap2.jmp

Laser_Mark.jmp

bonder.jmp

lottab.jmp

defecttab.jmp

Homework Data Files:

Homework1_4.jmp

Homework1_5.jmp

Homework2_3.jmp

Homework2_4.jmp

Sample Size Tables:  ssprop.xls

Web address for downloading course materials, JMP templates, data files, and sample size tables:

http://www-atmis.intel.com/bkm/main.asp?Platform=ATMStatistics

Statistical Methods for Binomial Data

Table of Contents

Introduction to the Binomial DistributionPage 9

Hypothesis Testing for ProportionsPage 12

The Binomial DistributionPage 13

Relating Yields to Defect RatesPage 17

Sample Defect RatesPage 18

Computing Binomial Probabilities using binomial.jmpPage 19

Estimating a Defect Rate From a SamplePage 22

One-Sided Confidence Intervals for ProportionsPage 25

BKM for Using Binomial Methods versus Continuous

Methods for Defect Data or Yield DataPage 27

Stability Assessment Using pchart.jmpPage 33

Module 1 Key Points SummaryPage 35

Module 1:  Single ProportionAnalysisPage 37

One-sided Hypothesis Tests for Proportional DataPage 41

The “Statistically Equal or Better” HypothesisPage 42

The “Statistically Better” HypothesisPage 43

Rejection Regions for SEB and SBPage 45

Sample Size Determination for 1-proportion DataPage 51

Detectable Differences for SEB and SBPage

Testing A 1-proportion HypothesisPage 57

Using the JMP Template 1propan.jmpPage 58

Zero Defect SamplingPage 65

Key Points Summary for 1-proportion CasesPage 70

Summary Procedure for 1-proportion CasesPage 71

Module 2:  Two Proportion AnalysisPage 73