manova presentation 1

Presenter: Salam Sawadogo

M98330059

MULTIVARIATE ANALYSIS

Use of Phytase treated Distiller’s Dried Grains with Solubles on Chinese Catfish (Silurus asotus) diet

INTRODUCTION

Distiller’s dried grains with solubles(DDGS) is the dry residues after removal of alcohol by distillation of certain grains(corn,sorghum…..)

It contains high nutrients profile (protein, fat , minerals)>>>>>used in fish feed

However,it has been showed to contain a high level of a particular antinutritional factor (phytic acid)(Nourreddini and Dang,2008)

Phytase is a commercially available enzyme capable of breaking down phytic acid >>>release nutrients for fish

Therefore, this study investigated the effect of phytase in Chinese catfish (silurus asotus) growth performance

To achieve this objective,a 10 weeks experiment was conducted and fish were fed phytase treated diet

C1=control, no phytase

S1= diet 1000 U/kg

S2=diet 5000 U/kg

Tp=control,no phytase

T1=diet 1000 U/kg

T2=diet 5000 U/kg

Post spray Pretreatment

Triplicate group of fish

Iw=initial weightFw=final weightWg=weight gainFi=feed intakeFcr=feed conversion ratioSgr=specific growth rateSurv=survival

Data were subjected to one way Manova and differences were found to be significant at 0.05 probability level

data exp2;input trt$ iw fw wg FI FCR SURV SGR; cards;

C1 24.6875 35.76 44.85063291 16.65303571 1.503999613 75 0.287357852

C1 25.1 32 27.49003984 9.791666667 1.419082126 100 0.188350459

C1 24.475 32.3 31.97139939 10.04791667 1.284078807 100 0.215142539

S1 25.2 35.69 41.62698413 14.71875 1.403122021 100 0.269903584

S1 25.275 40.55 60.43521266 19.45696429 1.273778349 87.5 0.366606597

S1 25.5 38.34 50.35294118 18.27357143 1.423175345 100 0.3162713

S5 25.375 36.57 44.1182266 1 4.49583333 1.294848891 100 0.283426624

S5 24.275 35.88 47.80638517 16.70567857 1.43952422 87.5 0.303023564

S5 24.85 37.26 49.93963783 16.57025 1.335233683 100 0.314136531

tp 24.6375 36.1 46.5246068 17.96208333 1.567030171 100 0.296268865

tp 24.65 35.91 45.70655849 10.29982143 0.914185334 87.5 0.291926965

tp 24.7 34.325 38.96761134 11.38089286 1.182430427 87.5 0.255202844

tP1 25.875 40.3 55.74879227 16.05428571 1.11294875 87.5 0.343615514

tP1 25.2125 40.75 61.62617749 16.11601191.037233268 75 0.372342325

tP1 25.6875 42.142 64.0597845 23.43886905 1.424391391 75 0.383932387

tP5 25.325 36.642 44.69045269 18.61625 1.644856422 75 0.286499778

tP5 24.5 37.441 52.82312925 11.25321429 0.869533622 87.5 0.328909086

tP5 24.85 38.56 55.17102616 16.61228571 1.211691153 87.5 0.340733272

;

proc glm;

class trt;

model iw fw wg fi fcr surv sgr= trt;

manova h=trt/ printh printe short;

run;

Use class statement>>>>independent variableSpecify model by listing outcome variables to the leftManova>>>>hypothesized effect of treatments represented as h

The SAS System 16:42 Friday, March 26, 2011 77

The GLM Procedure

Class Level Information

Class Levels Values

trt 6 C1 S1 S5 tP1 tP5 tp

Number of observations 18

In Manova, SAS provides univariate and multivariate output separately for each dependant variables

Dependent Variable: iw

Sum of

Source DF Squares Mean Square F Value Pr > F

Model 5 2.00694444 0.40138889 1.36 0.2397

Error 12 1.43447917 0.11953993

Corrected Total 17 3.44142361

R-Square Coeff Var Root MSE iw Mean

0.583173 1.382444 0.345745 25.00972

Univariate output for initial weight

Probability large(>0.05),no significant difference among fish at the beginning of experiment

Dependent Variable: fw

Sum of


Model 5 102.3959149 20.4791830 9.06 0.0009

Error 12 27.1341717 2.2611810


R-Square Coeff Var Root MSE fw Mean

0.790518 4.060889 1.503722 37.02939

Probability small, enzyme has a significant effect on the fish final body weight

Dependent Variable: wg

Sum of


Model 5 1097.053599 219.410720 5.39 0.0079

Error 12 488.386159 40.698847


R-Square Coeff Var Root MSE wg Mean

0.691955 13.29215 6.379565 47.99498

P value very smallWeight gain is affected by the enzyme treatment

Dependent Variable: FI

Sum of


Model 5 89.0355431 17.8071086 1.47 0.2687

Error 12 144.9218100 12.0768175


R-Square Coeff Var Root MSE FI Mean

0.380563 22.46496 3.475172 15.46930

Large probability>>>no significant difference among treatment in term of feed intake

Dependent Variable: FCR

Sum of


Model 5 0.11819349 0.02363870 0.44 0.8151

Error 12 0.65040691 0.05420058


R-Square Coeff Var Root MSE FCR Mean

0.153778 17.95363 0.232810 1.296730

F small and Large probability>>>no significant difference among treatments

Dependent Variable: SURV

Sum of


Model 5 703.125000 140.625000 1.80 0.1873

Error 12 937.500000 78.125000


R-Square Coeff Var Root MSE SURV Mean

0.428571 9.866606 8.838835 89.5833

Probability greater than 0.05>>>No significant at 5%

Dependent Variable: SGR

Sum of


Model 5 0.03084126 0.00616825 5.32 0.0083

Error 12 0.01391321 0.00115943


R-Square Coeff Var Root MSE SGR Mean

0.689121 11.25914 0.034050 0.302425

Probability less than 0.05>>>>showing a significant difference among fish in term of specific growth rate

E = Error SSCP Matrix

iw fw wg FI FCR SURV SGR

iw 1.434479 -0.16795 -9.1111 2.157587 0.335909 7.083333 -0.04861

fw -0.16795 27.13417 109.0890 38.32794 0.101864 -71.0773 0.581283

wg -9.1111 109.0890 4 88.3861 139.1041 -1.61323 -325.521 2.603061

FI 2.157587 38.32794 139.1041 144.9218 7.688004 -157.373 0.747302

FCR 0.33590 0.101864 -1.61323 7.688004 0.650406 -4.11113 -0.00806

SURV 7.08333 -71.0773 -325.521 -157.373 - 4.11113 937.500 -1.77000

SGR -0.04861 0.58128 2.603061 0.747302 -0.00806 -1.770 0 0.013913

Manova outputError sum of squares and cross product matrix is shown below

Partial Correlation Coefficients from the Error SSCP Matrix / Prob > |r|

DF = 12 iw fw wg FI FCR SURV SGR

iw 1.000000 -0.026921 -0.344228 0.149642 0.347763 0.193155 -0.344119

0.9304 0.2494 0.6256 0.2443 0.5272 0.2496

fw -0.026921 1.000000 0.947635 0.611210 0.024248 -0.445643 0.946054

0.9304 <.0001 0.0265 0.9373 0.1270 <.0001

wg -0.344228 0.947635 1.000000 0.522867 -0.090516 -0.481074 0.998595

0.2494 <.0001 0.0667 0.7687 0.0961 <.0001

FI 0.149642 0.611210 0.522867 1.000000 0.791870 -0.426953 0.526279

0.6256 0.0265 0.0667 0.0013 0.1457 0.0647

FCR 0.347763 0.024248 -0.090516 0.791870 1.000000 -0.166488 -0.084766

0.2443 0.9373 0.7687 0.0013 0.5867 0.7831

SURV 0.193155 -0.445643 -0.481074 -0.426953 -0.166488 1.000000 -0.490273

0.5272 0.1270 0.0961 0.1457 0.5867 0.0890

SGR -0.344119 0.946054 0.998595 0.526279 -0.084766 -0.490273 1.000000

0.2496 <.0001 <.0001 0.0647 0.7831 0.0890

Correlation between SGR and FW and WG (r=94.6% and 99.8% respectively)

Correlation FCR and FI(R=79.2%)>>> more feed consumed, better utilization

H = Type III SSCP Matrix for trt

iw fw wg FI FCR SURV SGR

iw 2.006944 12.67091 38.37684 11.89295 -0.13211 -17.1354 0.199336

fw 12.67091 102.3959 332.4754 90.72241 -2.00351 -155.471 1.755223

wg 38.37684 332.4754 1097.053 291.0444 -7.17902 -514.330 5.81308

FI 11.89295 90.72241 291.0444 89.03554 -1.00458 -84.7760 1.539916

FCR -0.13211 -2.00351 -7.17902 -1.00458 0.118193 6.93488 -0.03819

SURV -17.1354 -155.471 -514.330 -84.7760 6.934882 703.125 -2.65317

SGR 0.19933 1.755223 5.81308 1.539916 -0.03819 -2.65317 0.030841

Type III sum of square and cross product matrix from which will be calculated the characteristic root and Eigen vectors

Characteristic Roots and Vectors of: E Inverse * H, where



Characteristic Characteristic Vector V'EV=1

Root Percent iw fw wg FI FCR SURV SGR

12.245 75.17 -1.6263 14.2358 -3.0264 -1.0783 12.6044 -0.01397 -31.2387

3.1590 9.39 0.6774 -7.1808 1.3922 0.4224 -5.1685 0.01822 58.5429

0.5613 3.45 -1.8712 3.3847 -0.7659 -0.0391 1.0632 0.02857 -11.8126

0.2917 1.79 8.5300 -5.6100 1.8000 -0.2491 3.6740 -0.00155 -69.1995

0.0332 0.20 -8.2339 5.4316 -1.3697 -0.5329 7.0534 0.00978 38.5228

0.0000 0.00 -5.9758 4.4414 -1.6556 -0.4763 5.7535 -0.00403 128.486

0.0000 0.00 0.99 -0.8000 0.0844 0.3604 -3.5624 -0.01393 0.00000

Percents listed indicate the amount of variability in the treatment effect that every Eigen value and vector account for

The first row>>a high percent and FW, FCR, SGR have highest magnitudes indicate they are the most factor affected by the enzyme

MANOVA Test Criteria and F Approximations for the Hypothesis of No Overall trt Effect



S=5 M=0.5 N=2

Statistic Value F Value Num DF Den DF Pr > F

Wilks' Lambda 0.00871035 1.65 35 27.67 0.0888

Pillai's Trace 2.30166882 1.22 35 50 0.2572

Hotelling-Lawley Trace 16.29090053 2.47 35 8.1573 0.0878

Roy's Greatest Root 12.24546614 17.49 7 10 <.0001

NOTE: F Statistic for Roy's Greatest Root is an upper bound.

The independent variable(phytase) has no effect according to the first 3 multivariate test statistics but Roy’s greatest Root showed a highly significant effect

manova presentation 1

Documents