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IASSC

Examination Reference Document

Version: 1.3.0

Publish Date: 12.12.2010

Confidential Copyright © 2010-2017, International Association For Six Sigma Certification, LLC

Table of Contents

Formulas

Descriptive Statistics............................................................................................. 2 - 3

Hypothesis Testing................................................................................................ 4 - 6

Regression............................................................................................................ 7

Capability Indices................................................................................................. 8

Control Charts...................................................................................................... 9 - 11

Statistical Tables

Z Table....................................................................................................................... 12

T Table....................................................................................................................... 13

F Distribution Table.............................................................................................. 14 -15

Chi-Squared Distribution Table ........................................................................... 16 - 17

Descriptive Statistics

Calculation Formula Notes

Population Mean

Sample Mean

Weighted Mean

Sample Mean of grouped data

Range Range = highest - lowest

Mean Deviation

Population Variance !

!

!

!

!

!

!

!

!

!

!

!

!

Calculation Formula Notes

Population Standard Deviation

Sample Variance

Sample Standard Deviation

none!

!

!!

!

Hypothesis Testing

Calculation Formula Notes

2 Sample T

(Unequal Variance)

S2 1 = Standard Deviation of the Sample One N1 = Sample, number one S2 2 = Standard Deviation of the Sample Two N2 = Sample, number two X1 = Average of Sample One X2 = Average of Sample Two

2t Test of Means

(separate s)

2t Test of Means

(pooled s)

2Z Test of Means

(Equal Variance)

AOV Sum of Squares Correction

Factor

AOV Sum of Squares Total

AOV Sum of Squares Total

(Calculator)

!

!

!

!

!

!

!

Chi Squared

(Variance, not Proportions)

F Statistic

(Variances)

Interval for Proportions

Paired t Test

Pooled Variance

Single Sample Test

of Proportions

Single Sample

(Compare to Standard)

Sum of Squares

(Equal n)

Calculation Formula Notes

!

!

!

!

!

!

!

!

Sum of Squares

(Unequal n)

Sum of Squares Treatments

Two Sample Test

of Proportions

Variance

Calculation Formula Notes

!

!

!

!

Regression

Calculation Formula Notes

Correlation Coefficient

Linear Regression

Multiple Regression

Multiple Standard Error

!

!

!

!

Capability Indices

Calculation Formula Notes

Confidence Interval for Cpk

Cpk Attribute Data

Process Capability

Process Centering

(Short Term 1)

Process Centering

(Short Term 2)

Sigma of Cpk

!

!

!

!

!

!

Control Charts

Calculation Formula Notes

c Chart

(Fixed n1)

c Chart

(Fixed n2)

Control Limits for np

np Chart

(Fixed n)

p Chart

(Average Sample Size)

p Chart

(n can vary, Control Limits for

Proportions)

p Chart

(n can vary, Mean Percent Defects)

!

!

!

!

!

!

!

u Chart

(n can vary, Mean Percentage Defectives)

u Chart

(Average Sample Size)

u Chart

(n can vary, Control Limits for

Proportions)

X and R Charts

(Grand Mean)

X and R Charts

(Control Limits for the Mean)

X and R Charts

(Control Limits for the Range)

X and R Charts

(Range Target)

Calculation Formula Notes

!

!

!

!

!

!

!

X and S Charts

(Control Limits for the Mean)

X and S Charts

(Grand Mean)

X and S Charts

(Grand Mean)

X and S Charts

(Control Limits for the Range)

Calculation Formula Notes

!

!

!

!

Z Table

!

T Table

!

F Distribution (Table 1)

!

F Distribution (Table 2)

!

Chi- Squared Distribution (Table 1)

!

Chi- Squared Distribution (Table 2)

!

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