Design of Experiment (DOE)

8/13/2019 Design of Experiment (DOE)

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Design of Experiment

By

Sunil Kumar Kumawat

120100042

ME Department

Planning and Analysation of

the Measured Data



Planning the Experiment

> We have to plan the experiment to maximize theintensity of LED light output “I”.

> LED light output “I” would depend on

the voltage”E” being applied, the

resistance “R” used in the circuit, the

color of the LED light “C” and

film “F” being used through which

the light should go through.

> We would like to determine the function I(E, R, C, F)

> From the given set of values “E”, “R”, “C” and “F” thebest combination is needed to be found for themaximum intensity “I”.




ControlFactors

And

Levels

Voltage ofCell “E”

Resistance“R”

LED Colour“C”

Film“M”

1 3 V 5 k ohm Blue Transparent2 6 V 2.5 k ohm Red Red sheet

3 9 V 10 k ohm Green Blue sheet

Identify Control Factors:> Let us take 3 values each for “E”, “R”, “C” and “F”, as shown in

the table below




Identify NOISE Factors• Identify a NOISE factor that can affect the measured output, but

we have no control over it (say from 1 day to another)

• we can take “No. of Tube Lights in room” as Noise Factor as it will

affect the Intensity of Led light• Allow it to take 3 values as “0 tube light, 1 tube light and 2 tube

light”

NOISE Factor and Levels No. of tube light in room “L”

Level 1 0

Level 2 1

Level 3 2



Prepare for Experiments

Create 3 values of “E” : “Cell” of (3, 6, 9) V

Create 3 values of “R” : “Resister” of (5, 2.5, 10) k ohm

Create 3 values of “C” : “Colour of LED” of (Blue, Red, Green)

Create 3 values of “F” : “Film” of (Transparent, Red, Blue)

Prepare for Measurements:

● We used the rectangular-sized pieces of paper toquantify the intensity of LED light output.

● The intensity of the LED light output has been relativelygiven value equal to the number of pieces of paperthrough which the light did pass through as seen fromnaked eye.



Design of Experiment • STEP 5 : Select Orthogonal Array L9

| | Control Factors | | Noise Factors & | |

| | “I” Measured | |Obj. Func.|

Expt

No.

E R C F NZ1Measure

I1

NZ2Measure

I2

NZ3Measure

I3

CALCULATE

η

1 1 1 1 1 5 4 3 4

2 1 2 2 2 5 4 3 4

3 1 3 3 3 4 3 2 3

4 2 1 2 3 5 4 3 4

5 2 2 3 1 8 7 7 7.33

6 2 3 1 2 3 2 1 2

7 3 1 3 2 4 3 1 2.67

8 3 2 1 3 11 9 7 9

9 3 3 2 1 7 6 5 6



Design of Experiment Select Orthogonal Array L9

| | Control Factors | | “I” Measured | Obj. Func.|

Expt

No.

E R C F 0 1 2 Obj. Func.

1 3V 5 k ohm Blue Transparent 5 4 3 42 3V 2.5 k ohm Red Red sheet 5 4 3 4

3 3V 10 k ohm Green Blue sheet 4 3 2 3

4 6V 5 k ohm Red Blue sheet 5 4 3 4

5 6V 2.5 k ohm Green Transparent 8 7 7 7.33

6 6V 10 k ohm Blue Red sheet 3 2 1 2

7 9V 5 k ohm Green Red sheet 4 3 1 2.67

8 9V 2.5 k ohm Blue Blue sheet 11 9 7 9

9 9V 10 k ohm Red Transparent 7 6 5 6



Collection of the data • Conduct the 9 experiments and collect the data

shown in the previous slide.

• ALL 9 rows are filled with data and obj. func. is taken

as the mean of 3 readings of “I” in each row

(dummy data for obj. func. are given in last column oftable on previous page to demonstrate a sample

analysis)



Analyse the data: Calculation Factor

Effectslevel of control

factors

Obj. Func. Obj. Func. Obj. Func. Factor effect

Voltage : 3V 4 4 3 3.67

6 V 4 7.33 2 4.44

9V 2.67 9 6 5.89

Resistance : 5 k ohm 4 4 2.67 3.892.5 k ohm 4 7.33 9 6.67

10 k ohm 3 2 6 3.67

Colour of LED: Blue 4 2 9 5

Red 4 4 6 4.67

Green 3 7.33 2.67 4.33

Colour of the film:

Transparent4 7.33 6 5.78

Red 4 2 2.67 2.89

Blue 3 4 9 5.33



Control Factor Levels

0

1

2

3

4

5

6

7

8

Series1

Series2

Factor Effect Plot for LED LIGHT INTENSITY "I"

S / N R

a t i o

( L A R

G E R - t h e - b e t t e r

)

3.67

Ov meam4.67

5.89

4.44

3.67

k k k

3.89

6.67

5

4.33

5.78

2.89

5.33



Best settings and Best result

From the PLOT

• best settings are E = 9V, R = 2.5 k ohm, C = blue and F =

Transparent

•best result = Ov. mean m + {m(E=9) – m } + {m(R=2.5) – m } +{m(C = blue) – m } + {m(F = Transparent ) – m }

• best result = 4.67 + {5.89-4.67} + {6.67-4.67} + {5-4.67} +

{5.78-4.67}

• best result = 4.67 + 1.22 + 2 + 0.33 + 1.11

• best result = 9.33 (while max of 9 rows = 9)



confirmation experiment• For E = 9V, R = 2.5 k ohm, C = blue and F = Transparent

• Intensity of LED Light “I” = (11 + 9 + 8) /3

>> “I” = 9.33 which is closely match “Predicted best result=9.33”



3V, 5 k ohm, Blue, Transparent



3V, 2.5 k ohm, Red, Red sheet



3V, 10 k ohm, Green, Blue sheet



6V, 5 k ohm, Red, Blue sheet



6V, 2.5 k ohm, Green, Transparent



6V, 10 k ohm, Blue, Red sheet



9V, 5 k ohm, Green, Red sheet



9V, 2.5 k ohm, Blue, Blue sheet



9V, 10 k ohm, Red, Transparent



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Design of Experiment (DOE)