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MVT
Pengantar MVT







MVT is a trademark of QualPro Inc.
MVT Screening Experiment = Fractional
Factorial Design
Fractional Factorial Design (FRFE) merupakan
pengembangan dari Full Factorial Design
(FUFE)
FUFE merupakan bagian dari Model matematis
Linier dalam desain eksperimen
MVT
FUFE



Why linier model?

A linear mathematical model is considered in the
first phase of a research (Lazic, 2004, Design of
Experiments in Chemical Engineering)


Why Factorial Design?

Valid, Confidence → untuk estimasi koefisien
melalui cara yang → Minimum trial, necessary
information
FUFE
Contoh: 1 variabel


Y = b0 + bA.XA
XA
2

4

4



Y (%)
5

2 Variable ??
A

B

y

4

100

120

4

50

100

2

100

100

2

50

80
FUFE 2 Variable
A

B

y

4

100

120

4

50

100

2

100

100

2

50

80
FUFE 2 Variable
Cara Lain
Cara Lain
FUFE
FUFE
FUFE
FUFE = Eksperimen type 2k → 2 level
 Jumlah Trial = Jumlah koefisien
Jumlah
Rumus
Jumlah Trial
parameter


2
3
4
5
6
7
8
9

22

23

4
8

24
25

16

29

512
Konvensional




Selidiki satu per satu, dengan menjaga parameter
lain konstan
Kekurangan:

→ sering terlalu banyak trial
→ tidak mendeteksi interaksi antar parameter


Dibutuhkan metode yang “minimum trial“
namun “information-rich“
FUFE Versus FRFE




Untuk mengatasi kekurangan metode konvensional
dan FUFE, maka dikembangkanlah FRFE
(Fractional Factorial Design)
FRFE : minimum trial – information rich
FRFE

3 faktor → pakai 23-1

Parameter VS Desain

A

C (C+A.B)

B

1

-

-

+

2

+

-

-

3

-

+

-

4

+

+

+
FRFE


4 s.d. 7 faktor → pakai desain 24-1 s.d. 27-4

Parameter VS A
Desain

C

B

D
(D+A.B.C)

E
F
(E+A.C) (F+B.C)

G
(G+A.B)

1

-

-

-

-

+

+

+

2

+

-

-

+

-

+

-

3

-

+

-

+

+

-

-

4

+

+

-

-

-

-

+

5

-

-

+

+

-

-

-

6

+

-

+

-

+

-

+

7

-

+

+

-

-

+

-

8

+

+

+

+

+

+

+
Aplikasi FRFE
Faktor Risiko
(potential root
cause)
Disintegrant

Perspektif

Bahan Baku

dicurigai

Comment

major component

Active

Low soluble

Binder

Penghancur

Lubrikan

??

Filler
Kekerasan

Proses

Hasil trial OK

Mixing

Verifikasi OK, sample awal-tengah-akhir

Kekeliruan urutan
proses

Verifikasi OK

Suhu alat

Lab

Uji Komparasi OK, dengan analis dan waktu
yang berbeda memberikan kesimpulan yang
sama

rpm alat

OK

pH media

OK
Aplikasi desain 2

3-1

Trial

Binder

Disintegrant

Active

disolusi
Range
Rerata

1

Lot E

Lot A

Lot X

31-33%

X = 33%

2

Lot E

Lot B

Lot Y

81-85%

X = 86%

3

Lot O

Lot A

Lot Y

84-89%

X = 88%

4

Lot O

Lot B

Lot X

32-37%

X = 34%

Pengaruh Binder= (33+86-88-34)/2 = - 1.5 (memperendah 3%)
Pengaruh Disintegrant= (33+88-86-34)/2 = 0.5 (memperbaiki 1%)
Pengaruh Active+ (Disintegrant x Binder) = -53.5
Pengaruh Active + (-1.5 x 0.5) = -53.5
Pengaruh Active = -52.75 (memperendah 97%)
Aplikasi 2


Trial Compactor

7-4
Aplikasi 2


Trial Compactor

7-4
Aplikasi 2


Trial Compactor

7-4
Aplikasi 2


Trial Compactor

7-4

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Fractional Factorial Design Application in Pharmaceutical Industry