mohinhhoathucnghiemtamtrucgiao

8/8/2019 mohinhhoathucnghiemtamtrucgiao

1/18

B CNG THNGTRNG I HC CNG NGHIP THNH PH H CH MINH

KHOA CNG NGH HA HC

Tiu lun mn:

X L S LIU V QUY HOCH HATHC NGHIM

ti:

M HNH HA THC NGHIM BC 2 TM TRGIAO

GVHD : L nh V

LP : DHPT5LT

SVTH: Nhm 5


2/18

TP. H Ch Minh, thng 8 nm 2010

B CNG THNG

TRNG I HC CNG NGHIP THNH PH H CH MINH

KHOA CNG NGH HA HC

Tiu lun mn:

X L S LIU V QUY HOCH HATHC NGHIM

ti:

M HNH HA THC NGHIM BC 2 TM TRGIAO

GVHD : L nh V

LP : DHPT5LT

SVTH: Nhm 5


3/18

TP. H Ch Minh, thng 8 nm 2010


4/18

LI M UNh chng ta bit, ngy 11/01/2007 Vit Nam chnh thc l thnh vin th

ca t chc WTO. y l bc ngot lch s v cng to ln ca nc ta. nh duk mi trong s pht trin khng ch ca cc ngnh kinh t m cho tt c cc mt nv mt k thut.

Tht vy, cc ngnh k thut by gi khng ch i hi l sn xut ra sn nhanh, nng sut m cn i hi c v quy m sn xut, cn i vi cc lnh vc cu khoa hc th l tnh logic, s nhanh chng v tnh chnh xc.

Trong khi gii quyt cc vn k thut, vn t ra trc ht l cn phi c k

t mi quan h ph thuc ln nhau ca cc yu t lin quan m bo tin cy v chnh xc ca kt qu thc nghim vi sai s cho php.

Trong iu kin thng tin, c th s dng cc phng php ton hc khc n m t h thng, t kho st v tnh cc tr i vi bi ton. Tuy nhin khi thithng tin, cn phi lm thc nghim xy dng m hnh ton hc cho qu trnh tin hnh cc bc ti u ho.

Quy hoch v x l s liu thc nghim l mt phng php ton hc c sdng rng ri trong nghin cu, hc tp v c trong sn xut thc t.

y chng ti xin gii thiu v m hnh ha bc 2 tm trc giao, l mt pnh trong x l s liu v quy hoch ha thc nghim.


5/18

MC LC

Li m u.................................................................................................................................1

Mc lc ....................................................................................................................................2

Danh sch thnh vin nhm 5....................................................................................................3

A. C s l thuyt v m hnh ha thc nghim bc 2 tm trc giao.........................................4

B. Bi ton kho st ............................................................................................................ ......9C. Ti liu tham kho...............................................................................................................14


6/18

DANH SCH THNH VIN NHM 5

1. Phm Th Thanh Phng (09267541)

2. Hong Minh Qun (09256631)

3. Trng Ngc Quyn (09240121)

4. Dng Vn Qu ( 09239241)

5. Hunh Tn (

6. L Th Kim Sang (09258981)

7. Lng Th Thm (09239991)8. ng Th Thng (09255671)

9. Nguyn th Hng Tho ( 09255331)

10. Nguyn Th Thu Tho (09240211)

11. Nguyn Th Thu Tho ( 09254881)

12. L Th Kim Thi ( 09246371)

13. Trn Kim Thoa (09270411)


7/18


8/18

A. C s l thuyt:

1. Gii thiu v m hnh ha thc nghim bc 2 tm trc giao :

M hnh ha thc nghim bc 1 ch gm cc s hng bc 1 cho nn phMun nng cao ph hp phi c cc s hng bc 2. Khi tin hnh m hnnghim bc 2.

C nhiu gii php tm phng trnh hi qui bc 2, ph bin nht l 2 phng php

Dng ma trn tm trc giao.Dng ma trn tm xoay.

Trong phng trnh hi qui bc 2 c bao nhiu s hng th t nht phi c phng trnh (by nhiu thc nghim) tm c cc h s hi qui tng nghng.

Vi thc nghim c 3 nhn t nh hng ln kt qu thc nghim. Khi tin hnh thc nghim bc 1 y th v mt hnh hc m hnh l mt hnh lp phng 8 ng vi 1 thc nghim v tm c mt h s bi tng ng. tm c cc s hng b


9/18

X L S LIU V QUY HOCH HA THC NGHIM GVHD: L NH V

phi lm thm cc thc nghim tm (mc gc) v nhng thc nghim imnhng im nm trn trc ta ca nhn t tng ng.

S thc nghim ca tm m hnh ha thc nghim bc 2 tm trc giao, cng thc sau:

N = 2n-q + 2.n + N0 1.1

Trong :

- 2n-q: s thc nghim ma trn gc.- 2.n : s thc nghim im sao.- N0 : s thc nghim im tm, thng ly N0 = 1.

Cc bc tin hnh m hnh ha thc nghim bc 2 tm trc giao:

Bc 1. Chn mc thc nghim:

Chn cc mc thc nghim theo vng kho st, tnh cc mc theo cng thcsau:

Bc 2. Lp ma trn thc nghim m ha ca m hnh thc nghim bc 2 tm tV d: Ma trn thc nghim m ha bc 2 tm trc giao y ca 3 nhn t, c

Bng 1.1: Ma trn m hnh ha thc nghim y bc 2 tm trc giao 3 nhn

N X01 + - - - + + + 21 x 22 x 23 x y12 + + - - - - + 21 x 22 x 23 x y23 + - + - - + - 21 x 22 x 23 x y34 + + + - + - - 21 x 22 x 23 x y45 + - - + + - - 21 x 22 x 23 x y56 + + - + - + - 21 x 22 x 23 x y67 + - + + - - + 21 x 22 x 23 x y78 + + + + + + + 21 x 22 x 23 x y89 + +d 0 0 0 0 0 (+d)2- - - y9

LP HPT5LT SVTH : NHM 5

4


10/18


10 + -d 0 0 0 0 0 (-d)2- - - y1011 + 0 +d 0 0 0 0 - (+d)2- - y1112 + 0 -d 0 0 0 0 - (-d)2- - y1213 + 0 0 +d 0 0 0 - - (+d)2-

y13

14 + 0 0 -d 0 0 0 - - (-d)2- y1415 + 0 0 0 0 0 0 - - - y15

ma trn vn m bo tnh cht trc giao (c bit l cc ma trn ct ca bc 2) phi a thm tham s :

t = 22' ii x x 1.2

Th iu kin trc giao l:

0)).(( 21

2 ==

iu

N

uiu x x 1.3

Trong :0

2

22.22

N nd

qn

qn

++

+=

1.4

12 22.

=qnqn N d 1.5

V n,q l s cho trc nn c th tnh sn d v , mt s gi tr tnh sn ghi trong bsau:

Bng 8.2- Cc gi tr d v tnh trc

M hnh N d 22 9 1,000 6667,0

32

=

23 15 1,21547303,015

8=

24 25 1,4142 8000,054

=

25-1 27 1,54677698,0

934

=

25 43 1.72448433,0

15104

=


5


11/18


trong trng hp trn n = 3, tra bng ta c d = 1,215 v = 0,7303.

Phng trnh hi qui bc 2, n yu t c dng tng qut nh sau:

)()(... 23332222

211132233113211233221100

++++++++++= xb xb xb x xb x xb x xb xb xb xb xb y

1.6

Bc 3: Tnh h s hi qui ca phng trnh hi qui tm trc giao:

=

== N

uiu

N

uuiu

i

x

y xb

1

2

1

.

=

== N

u juiu

N

uu juiu

ij

x x

y x xb

1

2

1

).(

.

1.8

=

=

=

N

uiu

N

uuiu

ii

x

y xb

1

22

1

2

)(

).(

1.9

Bc 4: nh gi tnh c ngha ca h s hi qui:

Trong m hnh ha thc nghim bc 2 ngi ta khng lm th nghim lp li tonghim, do s thc nghim qu ln. Ngi ta lm lp li ch mt thc nghim, ththng l thc nghim tm ri xc nh gi tr trung bnh ca n. Tnh phng

nghim lp li tm v coi nh l sai s chung ca cc th nghim. Ngi tchun t nh gi tnh c ngha ca cc h s hi qui:

ti tnh > ti bng(P,f)

trong :

ib

iitnh S

bt

||=ijb

ijijtnh S

bt

||= 1.11

iib

iiiitnh S

bt ||=

=2

202

)( iui x

S Sb

Vi

=

2

202

).( juiuij x x

S Sb

=

22

202

)( iuii x

S Sb 1.12


6


12/18


2

100

0

20 )(1

1 0=

= N

k k y y N

S 1.13

Vi N0: s th nghim lp li tm.

f = N0-1

Nu ttnh > t bngth h s hi qui mi ln hn sai s th nghim tc l c ngha.

Bc 5: nh gi tnh ph hp ca m hnh theo phng trnh hi qui bc 2 tm tr

20

2

S

S F phhoptnh = vi 2

1

2 )(1

u

N

uu phhop y y L N

S

= =

1.14

Trong :

-N = 2n-q + 2n + N0

-L = s hng cn li sau khi nh gi tnh c ngha ca cc h s hi qui.

-f1 = N L

-f2 = N0 1 ( N0 l s thc nghim lp tm)

Nu Ftnh < F bng suy ra 120

2

>S

S phhop

8.15

L khng ng tin cy ngha l: sai khc gia gi tr hm mc tiu tnh theo phhi qui v gi tr thc nghim ca tng thc nghim l khng ng tin cy, tc l m t ng thc nghim.

B. Bi ton kho st

2. Bi ton v quy hoch ha thc nghim bc 2 tm trc giao. bi:Kho st phn ng xy ha hypophotphit dng Fe xc tc ( x1), trong mi trn

acid (x2), theo thi gian (x3) ta c:

Ma trn thc nghim c trnh by nh sau:


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13/18


Tn Cc nhn tX1 X2 X3

Mc gc 0,032 1,0 15Khong thay i 0,005 0,5 5

N X01 + - - - 96.182 + + - - 97.883 + - + - 92.964 + + + - 98.34

5 + - - + 97.366 + + - + 98.187 + - + + 95.248 + + + + 99.329 + -1.28719 0 0 98.3010 + 1.28719 0 0 98.4011 + 0 -1.28719 0 99.78

12 + 0 +1.28719 0 94.5313 + 0 0 -1.28719 97.3414 + 0 0 +1.28719 99.2415 + 0 0 0 99.0816 + 0 0 0 99.83

2.2 Cc bc thc hin trn my:Bc 1: khi ng chng trnh.Bc 2 : chn vo DOEBc 3 : chn DESIGN CREATIONCREATE NEW DESIGNBc 4 : chn RESPONSE SURFACE ( chn hm mc tiu Y l 1, v 3 nh

hng) OK Bc 5: Xut hin hp thoit tn v n v cho cc nhn t nh hng. Clic


8


14/18


Bc 6 : xut hin hp thoit tn cho hm mc tiu v n v. Click OK.Bc 7 : Xut hin hp thoi chn CENTRAL COMPOSITE DESIGN 2^3 + S

OK.Bc 8 : xut hin hp thoi chn ORTHOGONAL ( tm trc giao), CENT

chn s th nghim lp tm (VD 2), nhp b du check RANDOMIZE ( so trnhu nhin ). Chn LAST (cc gi tr lp nm cui bng ma trn). chn OK.Bc 9 : Cc thng s v design th nghim s xut hin. xy dng hm m

DOE DESIGN ANALYSIS ANALYZE DESIGN. Chn tn hm mc tiuOK.Bc 10 : xut hin cc bng kt qu.. hin th cc gi tr theo mong mu

TABLES v click vo cc bng gi tr mong mun chn OK.Chy bi ton trn my ta c cc kt qu sau:

Analyze Experiment - phanungoxyhoaFile name:

Estimated effects for phanungoxyhoa (toc do)

Effect Estimate Stnd. Error V.I.F.

average 99,0573 0,780014

A:Fe xuc tac 2,14054 0,800477 1,0

B:do axit -1,85576 0,800477 1,0

C:thoi gian 1,27026 0,800477 1,0AA -0,900815 1,14908 1,0

AB 1,735 0,951933 1,0

AC -0,545 0,951933 1,0

BB -2,3433 1,14908 1,0

BC 0,445 0,951933 1,0

CC -0,973241 1,14908 1,0

Standard errors are based on total error with 6 d.f.

The StatAdvisorThis table shows each of the estimated effects and interactions. Also shown is the stanerror of each of the effects, which measures their sampling error. Note also that the larvariance inflation factor (V.I.F.) equals 1.0. For a perfectly orthogonal design, all of th


9


15/18


would equal 1. Factors of 10 or larger are usually interpreted as indicating serious conamongst the effects.

To plot the estimates in decreasing order of importance, select Pareto Charts from the lGraphical Options. To test the statistical significance of the effects, select ANOVA Tabthe list of Tabular Options. You can then remove insignificant effects by pressing the amouse button, selecting Analysis Options, and pressing the Exclude button.

Analysis of Variance for hieu suat phan ungSource Sum of Squares D

f Mean Square F-Ratio P-Value

A:xuc tac 12,9596 1 12,9596 6,95 0,387B:moi truong 9,74063 1 9,74063 5,23 0,623C:thoi gian 4,56382 1 4,56382 2,45 0,1687AA 1,76085 1 1,76085 0,94 0,3686AB 6,02045 1 6,02045 3,23 0,1224AC 0,59405 1 0,59405 0,32 0,5928BB 9,10202 1 9,10202 4,88 0,692BC 0,39605 1 0,39605 0,21 0,6611CC 1,99325 1 1,99325 1,07 0,3409Total error 11,183 6 1,86384Total (corr.) 58,3137 15

R-squared =80,8226 percentR-squared (adjusted for d.f.) =52,0566 percentStandard Error of Est. =1,36523Mean absolute error =0 ,639182Durbin-Watson statistic = 2,88874 (P=,8940)Lag 1 residual autocorrelation = -0,480302

The StatAdvisorThe ANOVA table partitions the variability in phan ung oxy hoa into separate pieces foof the effects. It then tests the statistical significance of each effect by comparing the msquare against an estimate of the experimental error. In this case, 1 effects have P-valuthan ,05, indicating that they are significantly different from zero at the 95,0% confiden

The R-Squared statistic indicates that the model as fitted explains 80,8226% of the variin phan ung oxy hoa. The adjusted R-squared statistic, which is more suitable for compmodels with different numbers of independent variables, is 52,0566%. The standard erthe estimate shows the standard deviation of the residuals to be 1,36523. The mean aberror (MAE) of ,639182 is the average value of the residuals. The Durbin-Watson (DWstatistic tests the residuals to determine if there is any significant correlation based on t


10


16/18


in which they occur in your data file. Since the P-value is greater than 5,0%, there is nindication of serial autocorrelation in the residuals at the 5,0% significance level.

Regression coeffs. for phan ung oxy hoaCoefficient Estimateconstant 99,3595A:xuc tac 1,07027B:moi truong -0,927878C:thoi gian 0,635128AA -0,56632AB 0,8675AC -0,2725BB -1,28756BC 0,2225CC -0,602533

The StatAdvisorThis pane displays the regression equation which has been fitted to the data. The equatthe fitted model is

Toc do phan ung = 99,3595 + 1,07027*xuc tac - 0,927878*moi truong + 0,635128*tho0,56632*xuc tac^2 + 0,8675*xuc tac*moi truong - 0,2725*xuc tac*thoi gian - 1,28756truong^2 + 0,2225*moi truong*thoi gian - 0,602533*thoi gian^2

Where the values of the variables are specified in their original units. To haveSTATGRAPHICS evaluate this function, select Predictions from the list of Tabular OptTo plot the function, select Response Plots from the list of Graphical Options.Optimize ResponseGoal: maximize phan ung oxy hoa

Optimum value = 99,9305

Factor Low High Optimumxuc tac -1,28719 1,28719 0,823304moi truong -1,28719 1,28719 -0,0548558thoi gian -1,28719 1,28719 0,330607The StatAdvisorThis table shows the combination of factor levels which maximizes hieu suat phan ungindicated region. Use the Analysis Options dialog box to indicate the region over whicoptimization is to be performed. You may set the value of one or more factors to a consetting the low and high limits to that value.


11


17/18


T th c th nh gi mt cch s b s nh hng ca cc nhn t ln gi mc tiu

Estimated Response Surfacethoi gian=0,0

-1 -0,6 -0,2 0, 2 0,6 1

xuc tac

-1-0,6

-0,20, 20,61

moi truong

949596

97

98

99100

t o c d o

p h a n

u n g


12


18/18


TI LIU THAM KHO

[1]. L c Ngc X l s liu v k hoch ha thc nghim NXB i hc qu

Ni 8/2001.[2]. ThS. L nh V - ng dng phn mm statgraphics centurion vo x l s liuhoch thc nghim Trng i hc cng nghip TP. HCM 9/2009.


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