Analysis of Variance (ANOVA)Latin Square Design (LS)

Group 5

SITI NORHAJAR BINTI ZAKARIA UK 28316 TENGKU MURIANA BINTI TENGKU AZMAN UK 28331 SITI NUR ADILA BINTI HAMZAH UK 28361 MOHD SADDAM BIN ZAINUDIN UK 28366 ASMIZA BINTI ABDULLAH UK 28373 NOR ATIQAH BINTI LOKMAN UK 28376 NURFATANAZIRAH BINTI SAAD UK 28377 FARAH NABILA BINTI ALI UK 28380

Content List of Presentation

1) The research Problem2) Treatments and Explanations 3) Field Layout of Experimental Designs4) Step-by-step Procedures of Experimental Designs5) ANOVA Table6) Hypothesis Testing (Null Hypothesis) 7) Conclusions of Hypothesis Testing 8) Post Hoc Test (i.e. Turkey Test)9) Result & Discussion (Give some logical Reasons)10) Summary11) Recommendations

RESEARCH PROBLEMA Latin square experiment is conducted to compare six composition of feed for producing honey. The feed composition (A, B, C, D and E) will be with normal composition (F). The experiment units are bees and the bee types will be used as columns and the way how to feed the bees (methods) was used as rows. One of the measured parameter is honey gain due to feed. Using P=0.01 and P=0.05 as the level of significance, the null hypothesis is stating that the feeds have no different effects on honey gain. The data (honey gain in ml/plot) are given as follow:

Table 5. Amount of honey production (ml/plot)Methods (Rows) Bee types (columns)

B1 B2 B3 B4 B5 B6

M1 62(A)

84(B)

62(C)

66(D)

73(E)

105(F)

M2 86(B)

92(F)

69(D)

65(C)

81(A)

84(E)

M3 64(C)

71(D)

70(E)

90(F)

101(B)

93(A)

M4 69(D)

77(A)

97(F)

72(E)

82(C)

115(B)

M5 74(E)

73(C)

79(A)

102(B)

112(F)

95(D)

M6 102(F)

84(E)

111(B)

88(A)

94(D)

104(C)

LAYOUT OF LATIN AQUARE DESIGN

A

B

C

D

E

F

B C

D

E

F A

D

C

F

E

D

E

F

B

A

A B

E

C

F

A

B

C

D

F

A

B

C

D

E

Bee types (Column)

Method (row)

ENTERING DATA

SELECTANALYZE -> GENERAL LINEAR MODEL -> UNIVARIATE

SELECT THE DEPENDENT VARIABLE AND THREE FACTORS –ROWS, COLUMNS, TREATMENTS

SELECT MODEL

IDENTIFY A MODEL THAT HAS ONLY MAIN EFFECTS FOR ROWS, COLUMNS, TREATMENTS

THE ANOVA TABLE PRODUCED BY SPSS

Hypothesis Testing (Null Hypothesis)

From the table is obtained sig of method, bee types and treatment.

Method : sig.= 0.000

Bee types : sig = 0.000

Treatment : sig. = 0.000

Significance level = 0.01 for method, bee types and treatment.

HYPOTHESIS FOR METHODSH0: there are no significantly different among any of the methods

(µ1 = µ2 = ….. = µn)H1: at least , one method is significantly different from the others

If the significance obtained > 0.01 , H0 is received If the significance obtained < 0.01, H0 is rejected

For methods: sig = 0.000That means: 0.000 < 0.01, so H0 is rejected (H1 is received).

In other word: at least , one method is very significantly different from the others. Its means that at least, there is one method which can affect to the honey production.

HYPOTHESIS FOR BEE TYPESH0: there are no significantly different among any of the bee types

(µ1 = µ2 = ….. = µn)H1: at least , one bee type is significantly different from the others

If the significance obtained > 0.01 , H0 is received If the significance obtained < 0.01, H0 is rejected

For bee types: sig = 0.000That means: 0.000 < 0.01, so H0 is rejected (H1 is received).

In other word: at least , one bee types is very significantly different from the others. Its means that at least, there is one bee types which can affect to the honey production.

HYPOTHESIS FOR TREATMENTS H0: there are no significantly different among any of the treatment

(µ1 = µ2 = ….. = µn)H1: at least , one treatment is significantly different from the others

If the significance obtained > 0.01, H0 is received If the significance obtained < 0.01, H0 is rejected

For fishermen: sig = 0.000That means: 0.000 < 0.01, so H0 is rejected (H1 is received).

In other word: at least , one treatment is very significantly different from the others. Its means that at least, there is one treatment which can affect to the honey production.

CONCLUSION FOR HYPOTHESIS TESTING

• The increasing amount of honey production is caused by different use of method, bee types and treatment.

• Different use of method, bee types and treatment did influence the increasing amount of honey production.

• It can be conclude that different method, bee types and treatment can affect the production of honey.

POST HOC TEST OPTION BUTTON

POST HOC TEST FOR METHODS

Homogeneous Subset for Methods

Method Mean

1 75.33±16.753a

2 79.50±10.407b

3 81.50±15.057bc

4 85.33±17.558cd

5 89.17±16.216d

6 97.17±10.284e

Means with the same superscript within the each column are not significantly different at 1% level

(p<0.01)

Different methods for gaining honey production

Analysis for Method

• From the Post Hoc table, all method except method 3-4 and 4-5 have sig < 0.01, that means that they have very significant different to the honey production.

• From the Post Hoc table obtained, for sig values 0.016 (sig > 0.01) for method 3-4 and 4-5 and sig values 0.419 (sig > 0.01) for method 2-3 have no significantly different effect to the production of honey.

POST HOC TEST FOR BEE TYPES

Homogeneous Subset Bee types

Bee types Mean

1 76.17±15.289a

2 80.17±7.935ab

4 80.50±15.043b

3 81.33±18.896b

5 90.50±14.516c

6 99.33±10.893d

Means with the same superscript within the each column are not significantly different at 1% level

(p<0.01)

Different Bee types for gaining honey production

Analysis of Post Hoc Test for Bee Types

• From the Post Hoc table, all bee types except bee types 2-3, 2-4 and 4-3 have sig < 0.01, that means that they have very significant different to the honey production.

• From the Post Hoc table obtained, for sig values (sig > 0.01), that means bee types 2-3,

2-4 and 4-3 have no significantly different effect to the production of honey.

POST HOC TEST FOR TREATMENT

Homogeneous Subset for Treatment

Treatments Mean

C 75.00±16.025a

E 76.17±6.210ab

D 77.33±13.397ab

A 80.00±10.658b

F 99.67±8.311c

B 99.83±12.671c

Means with the same superscript within the each column are not significantly different at 1% level

(p<0.01)

Different treatments for gaining honey production

Analysis of Post Hoc Test for Treatment

• From the Post Hoc table, all treatment except treatment A-E, A-C, A-D, B-F, C-D, C-E, and D-E have sig < 0.01, that means that they have very significant different to the honey production.

• From the Post Hoc table obtained, for sig values 0.016 (sig > 0.01), that means treatment A-E have no significantly different effect to the production of honey. Meanwhile, for treatment A-C, A-D, B-F, C-D, C-E and D-E have sig > 0.01, that means these treatments have no significantly different effect to the honey production.

Result and Discussion• Based on post hoc table, we can conclude that the most effective method,

bee types and treatment that give higher production of honey are method 6, bee types 6 and treatment B.

• Method 6 is most effective because the method used is more convenient way to give proper feed amount to the bees and does not disturb the bees during the production of honey.

• For bee types 6 , it is the most suitable to increase the production of honey because this type of bees have many breeding or have large in number so they can produce more honey.

• Whereas, for treatment B, it is the most effective because the feed composition contain many nutrition value and high quality of feed that can help the bees to produce more honey.

Recommendations

• Based on our research, we recommend that the farmer should use Method 6, Bee Types 6 and Treatment B to increase the amount of honey production (ml/plot) because Method 6 is more convenient way to give the proper feed amount and Bee types 6 have more breeds or large number compared to the other and treatment B contain much more nutritional value, high quality and have most suitable combination of nutrient supply for production of honey.

THANK YOU!!!