8/4/2019 Design of Experiments With Several Factors

1/34

Nj{fdh`bjuyjrfcjh~{tf~e{jjrlm

b

blk~`r{

@ogjk~fj{

`b

~ej

~`yfk7 j{ dh hdlh k`h zk hdjhd hjjr hdjuyjr cjh {

fh`mfhd{jjrlmblk~`r{(

Lhlm wfh ju jrfcjh~{z{fh ~ejlhlm {f{`blrflhkj(

L{{j{{fhdc`njmlnj|zlkv(

Z{fhd~ej~t`mjjm{jrfj{`bblk~`rflmnj{fdh{(

NrCzelcclnLm[lmlcle-Fhnz{~rflmJhdfhjjrfhd-ABZYC

8/4/2019 Design of Experiments With Several Factors

2/34

Lblk~`rflmjuyjrfcjh~k`h{f{~{`bjuyjrfcjh~lm~rflm{

yjrb`rcjnl~lmmk`cofhl~f`h{`bmjjm{`bblk~`r{(

^ejfhnz{~rflmjhdfhjjrk`zmnojfh~jrj{~jn~`fhj{~fdl~j~ej

jbbjk~`b~ejclkefhjc`njmlhn~ejbjjnrl~j`h~ejhzcojr

`bnjbjk~fj lr~{(

Ejtlh~{~`bfhn~ejoj{~mjjm{`b~ej~t`blk~`r{%clkefhj

c`njmlhnbjjnrl~j&~el~tfmmvfjmn~ejmjl{~hzcojr`b

j jk~ j{(

^ejlhlmv{f{`blrflhkjtfmmojz{jnfh~ejlhlmv{f{(

NrCzelcclnLm[lmlcle-Fhnz{~rflmJhdfhjjrfhd-ABZYC

8/4/2019 Design of Experiments With Several Factors

3/34

Blk~`rflmjuyjrfcjh~

Tejh~ejrjlrj~t`blk~`r{LlhnOtf~elmjjm{b`rblk~`rL

lhnomjjm{b`rblk~`rO-jlkerjymfkl~j`b~ejjuyjrfcjh~

k`h~l h{ l ~rjl~cjh~k`c hl~ `h{(

^ejjbbjk~`blblk~`rf{~lajhl{~ejkelhdjfhrj{y`h{j

klmmjnclfhjbbjk~ r`nzkjno lkelh jfh~ejmjjm`b~ej

blk~`r(

K`h{fnjr~ejblk~`rflmjuyjrfcjh~7

Blk~`rO

Blk~`rL Om`t Oefde

L 9

NrCzelcclnLm[lmlcle-Fhnz{~rflmJhdfhjjrfhd-ABZYC

8/4/2019 Design of Experiments With Several Factors

4/34

^ejclfhjbbjk~`bblk~`rLf{~ejnfbbjrjhkjoj~tjjh~ej

ljrldjrj{y`h{jl~~ejefdemjjm`bLlhn~ejljrldj

rj{y`h{jl~~ j `t jj ` 7

?9?99;9

3!!3L

Ejhkj-kelhdfhd~ejblk~`rLbr`c~ejm`tmjjm~`~ejefde

mjjmklz{j{lhljrldjrj{y`h{jfhkrjl{j`b?9(

Tejh~ejnfbbjrjhkjfhrj{y`h{joj~tjjh~ejmjjm{`b`hj

blk~`rf{h`~~ej{lcjl~lmmmjjm{`b~ej`~ejrblk~`r{-lh

(

NrCzelcclnLm[lmlcle-Fhnz{~rflmJhdfhjjrfhd-ABZYC

8/4/2019 Design of Experiments With Several Factors

5/34

K`h{fnjr~ejblk~`rflmjuyjrfcjh~7

Blk~`rL Om`t Oefde

Lm`t

8/4/2019 Design of Experiments With Several Factors

6/34

^ {lvblk~`rLel{h`jbbjk~clvh`~ojk`rrjk~(

Fh~ef{kl{j-~ejLOfh~jrlk~f`hf{c`rjz{jbzm~elh~ejclfh

jbbjk~(

^ejj{~fcl~j`b~ejLOfh~jrlk~f`hjbbjk~fhblk~`rflm

Blk~`rO

Lm`t 9

9??

3!

!

3LO

Blk~`rO

Blk~`rL Om`t Oefde

L

8/4/2019 Design of Experiments With Several Factors

7/34

^t`blk~`rblk~`rflmjuyjrfcjh~{

L~t`blk~`rblk~`rflmjuyjrfcjh~tf~ehrjymfkl~j{f{

rjyrj{jh~jnl{7

Blk~`r

O< ? o ^ ~lm{ Ljrldj{

v

8/4/2019 Design of Experiments With Several Factors

8/34

^ejvfga `o{jrl~f`hzhnjrmjjmf `bblk~`rL-mjjmg`bblk~`r

O-lhnrjymfkl~ja-f{rjyrj{jh~jnov

fgafggffgaV !!!!3 &%

t jrj { j`jrl ljrldj-f { jj jk ` j jj ` blk~`rL-g f{~ejjbbjk~`b~ejg~e mjjm`bblk~`rO-%&fg f{~ejjbbjk~`b~ejfh~jrlk~f`hoj~tjjhLlhnO-lhnfga f{lrlhn`cjrr`r(

^ejjrr`rf{l{{zcjn~`ojh`rclmtf~ecjlhwjr`lhn

? (

^ejjbbjk~{f-g-lhn%&fg lrjnjbfhjnl{njfl~f`h{br`c~ej`jrlmmcjlh{zke~el~7

NrCzelcclnLm[lmlcle-Fhnz{~rflmJhdfhjjrfhd-ABZYC

9&%lhn-9&%-9-9

8/4/2019 Design of Experiments With Several Factors

9/34

^j{~{`b{fdhfbfklhkj`bjbbjk~{

^laj~t`bfujnblk~`r{LlhnO-tf~elmjjm{lhnomjjm{

rj{yjk~fjmv(

^ejlhlmv{f{`blrflhkjklhojz{jn~`~j{~~ejevy`~ej{f{

lo`z~~ejclfhblk~`rjbbjk~{`bLlhnOlhnLOfh~jrlk~f`h7

(

E97< 3? 33l 39

?( Evy`~ej{f{`hh`clfhjbbjk~`bblk~`rO7

E97< 3? 33o 39;( Evy`~ej{f{`hh`fh~jrlk~f`h7

97

8/4/2019 Design of Experiments With Several Factors

10/34

^ejLH@RLfnjh~f~vf{dfjhov

ll o h

&%&% >(6 :(2

? :(2 >(6 :(> :(5 2(< 2(;

F~

el{

ojjh

yr`jh

~el~

~ejrj

f{

h`

{fdhfbfklh~

fh~jrlk~f`h

( ( (

-

`b~ejblk~`r{(

Lrj~ejmjjm{cjlh{`b

8/4/2019 Design of Experiments With Several Factors

21/34

^ejb`mm`tfhdevy`~ej{f{el{~`oj~j{~jn7

E97

8/4/2019 Design of Experiments With Several Factors

22/34

?a blk~`rflmnj{fdh{

@hj{yjkflmkl{j`bblk~`rflmnj{fdh{f{~el~`bablk~`r{-jlke

l~`hmv~t`mjjm{(

Lk`cymj~jrjymfkl~j`b{zkelnj{fdhrj|zfrj{???3?a

k`cofhl~f`h{`bmjjm{1ejhkj-f~f{klmmjn?a blk~`rflmnj{fdh(

a ?

-

jlkel~~t`mjjm{(

Z{zlmmv-~ej~t`mjjm{lrjmlojmjnl{m`t%njh`~jnov&lhn

efde%njh`~jnov!&(

loo%!&

O

NrCzelcclnLm[lmlcle-Fhnz{~rflmJhdfhjjrfhd-ABZYC

l%

8/4/2019 Design of Experiments With Several Factors

23/34

Mlojmfhd

L{yjkflmh`~l~f`hf{z{jn~`mlojm~ej~rjl~cjh~

k`cofhl~f`h{(

L~rjl~cjh~k`cofhl~f`hf{rjyrj{jh~jnovl{jrfj{`b

m`tjrkl{jmj~~jr{(

-

efdemjjm(

F~lmj~~jrf{lo{jh~-~ejblk~`rf{rzhl~f~{m`tmjjm(

^ej~rjl~cjh~k`cofhl~f`htf~eo`~eblk~`r{l~~ejm`tmjjm

f{rjyrj{jh~jnov%

8/4/2019 Design of Experiments With Several Factors

24/34

Jbbjk~{j{~fcl~f`h

^ejjbbjk~{fh~ej?? nj{fdhlrj~ejclfhjbbjk~{LlhnOlhn

~ej~t`blk~`rfh~jrlk~f`hLO(

Mj~~ejmj~~jr{%3 !

olol

vvL LL