ANOVA Example

A colleague show me some data that he collect from 3 different machines and ask for help to perform some statistical analysis.

He would like to assess the consistency of the part dimension that produce from 3 different machines, to make decision whether to mix into 1 bin or pack it separately according to machine number.

I am trying to use ANOVA for the data analysis

The sample data given to me as below

Control dimension = 15.000

M/C1

M/C2

M/C3

13.548

13.655

14.469

16.353

13.793

15.409

13.456

15.263

14.006

14.246

16.279

13.935

15.091

14.716

13.264

15.329

15.770

13.986

12.926

15.154

13.206

12.705

14.339

13.972

14.581

15.204

15.913

13.111

15.611

15.731

Below are the steps I perform the data analysis

Step 1: Normality Test

Minitab procedure: Stat >> Basic Statistic >> Normality test

Note: ANOVA only can apply on Normal Data


Step 2: Stack up the data into single column

Minitab procedure: Data >> Stack >> Columns

Step 3: Check for process stability

Minitab procedure: Stat >> Control Charts >> Variable Charts For Individuals >> I-MR

Step 4: Check for process capability

Minitab procedure: Stat >> Quality Tool >> Capability Analysis >> Normal


Step 5: Test for equal variance

Minitab procedure: Stat >> ANOVA >> Test for equal variances

Note: To assess whether the machine running under same std dev condition or not.


Step 6: ANOVA

Minitab procedure: Stat >> ANOVA >> One Way

Done….

I will discuss the analysis result on my next post…


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