CRD RBD Factorial FRBD Design Analysis Sheet in Excel by Sangita

Completely Randomized Design1)Put data in Pink region and remove sample data, 2)Don’t delete any number or formula from blue region

Replications/Treatments T1 T2 T3 T4 T5 T6 T7

R1 52 58 62 66

R2 50 52 58 69

R3 56 60 65 70

R4 54 57 58 67

R5 53 56 61 66

R6

R7

Total 265 283 304 338 0 0 0

Mean 53 56.6 60.8 67.6 #DIV/0! #DIV/0! #DIV/0!

Rank Mean 4 3 2 1 #DIV/0! #DIV/0! #DIV/0!

Sqaure of Sum 20 35.2 34.8 13.2 #DIV/0! #DIV/0! #DIV/0!

If the difference between highest and subsequent ranked treatment mean is lower than CD, it means the differing treatment is not significantly different. And if the If the difference between highest and subsequent ranked treatment mean is higher than CD, it means the differing treatment is significantly different.

Note: 1)Sheet has used freeze panes. 2) If any doubt in calculation, contact Dr Sangita Warade on 9860470598

3) if reading zero, add it but don’t add zero in blank region. Get ANOVA table in FO coloum

1)Put data in Pink region and remove sample data, 2)Don’t delete any number or formula from blue region

T8 T9 T10 T11 T12 T13 T14 T15 T16 T17

0 0 0 0 0 0 0 0 0 0

#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!






T18 T19 T20 T21 T22 T23 T24 T25 T26 T27

0 0 0 0 0 0 0 0 0 0





T28 T29 T30 T31 T32 T33 T34 T35 T36 T37

0 0 0 0 0 0 0 0 0 0





T38 T39 T40 T41 T42 T43 T44 T45 T46 T47

0 0 0 0 0 0 0 0 0 0




T48 T49 T50 T51 T52 T53 T54 T55 T56 T57

0 0 0 0 0 0 0 0 0 0




T58 T59 T60 T61 T62 T63 T64 T65 T66 T67

0 0 0 0 0 0 0 0 0 0




T68 T69 T70 T71 T72 T73 T74 T75 T76 T77

0 0 0 0 0 0 0 0 0 0




T78 T79 T80 T81 T82 T83 T84 T85 T86 T87

0 0 0 0 0 0 0 0 0 0




T88 T89 T90 T91 T92 T93 T94 T95 T96 T97

0 0 0 0 0 0 0 0 0 0




T98 T99 T100 T101 T102 T103 T104 T105 T106 T107

0 0 0 0 0 0 0 0 0 0




T108 T109 T110 T111 T112 T113 T114 T115 T116 T117

0 0 0 0 0 0 0 0 0 0




T118 T119 T120 T121 T122 T123 T124 T125 T126 T127

0 0 0 0 0 0 0 0 0 0




T128 T129 T130 T131 T132 T133 T134 T135 T136 T137

0 0 0 0 0 0 0 0 0 0




T138 T139 T140 T141 T142 T143 T144 T145 T146 T147

0 0 0 0 0 0 0 0 0 0




T148 T149 T150 T151 T152 T153 T154 T155 T156 T157

0 0 0 0 0 0 0 0 0 0




T158 T159 T160 Total Correction Factor = square of total/n =

Error SS by direct formula=0 0 0 1190

#DIV/0! #DIV/0! #DIV/0! Standerd Error(SE) for unequal replications =#DIV/0! #DIV/0! #DIV/0! Standerd Error(SE) for equal replications =

#DIV/0! #DIV/0! #DIV/0! 103.2 Put t value from table for df of n in the box =

Critical Difference for unequal replications = t * SECritical Difference for equal replications = t * SE

square of total/n = suare of total 1416100 70805 ANOVAn= 20 Source of variation

4t-1= 3 Between Treatmentsn-1= 19 Errorr= 5

r-1= 4 TotalError SS by direct formula= 103.2

Standerd Error(SE) for unequal replications = 1.6062Standerd Error(SE) for equal replications = 1.6062

Put t value from table for df of n in the box = 2.1310

Critical Difference for unequal replications = t * SE 3.4229Critical Difference for equal replications = t * SE 3.4229

t(number)=

Degree of Freedom(df) Sum of Square(SS) Mean Square(MS)

3 589.80 196.6016 103.20 6.45

19 693.00

Coeficient of Variance(CV) = SD/mean=

F

30.5

10.15

Randomized Block Design1)Put data in Pink region and remove sample data, 2)Don’t delete any number or formula from blue region

Replications/Treatments T1 T2 T3 T4 T5 T6 T7

R1 22.9 29.5 28.8 47 28.9

R2 25.9 30.4 24.4 40.9 20.4

R3 39.1 35.3 32.1 42.8 21.1

R4 33.9 29.6 28.6 32.1 31.8

R5

R6

R7

Total 121.8 124.8 113.9 162.8 102.2 0 0

Mean 30.45 31.2 28.475 40.7 25.55 #DIV/0! #DIV/0!

Rank Mean 3 2 4 1 5 #DIV/0! #DIV/0!

Sqaure of Sum 164.43 22.9 29.867 118.1 96.61 #DIV/0! #DIV/0!





T8 T9 T10 T11 T12 T13 T14 T15 T16 T17

0 0 0 0 0 0 0 0 0 0







T18 T19 T20 T21 T22 T23 T24 T25 T26 T27

0 0 0 0 0 0 0 0 0 0





T28 T29 T30 T31 T32 T33 T34 T35 T36 T37

0 0 0 0 0 0 0 0 0 0





T38 T39 T40 T41 T42 T43 T44 T45 T46 T47

0 0 0 0 0 0 0 0 0 0




T48 T49 T50 T51 T52 T53 T54 T55 T56 T57

0 0 0 0 0 0 0 0 0 0




T58 T59 T60 T61 T62 T63 T64 T65 T66 T67

0 0 0 0 0 0 0 0 0 0




T68 T69 T70 T71 T72 T73 T74 T75 T76 T77

0 0 0 0 0 0 0 0 0 0




T78 T79 T80 T81 T82 T83 T84 T85 T86 T87

0 0 0 0 0 0 0 0 0 0




T88 T89 T90 T91 T92 T93 T94 T95 T96 T97

0 0 0 0 0 0 0 0 0 0




T98 T99 T100 T101 T102 T103 T104 T105 T106 T107

0 0 0 0 0 0 0 0 0 0




T108 T109 T110 T111 T112 T113 T114 T115 T116 T117

0 0 0 0 0 0 0 0 0 0




T118 T119 T120 T121 T122 T123 T124 T125 T126 T127

0 0 0 0 0 0 0 0 0 0




T128 T129 T130 T131 T132 T133 T134 T135 T136 T137

0 0 0 0 0 0 0 0 0 0




T138 T139 T140 T141 T142 T143 T144 T145 T146 T147

0 0 0 0 0 0 0 0 0 0




T148 T149 T150 T151 T152 T153 T154 T155 T156 T157

0 0 0 0 0 0 0 0 0 0




T158 T159 T160 Total Sqaure of Sum Correction Factor = square of total/n =157.1 332.228

142.0 246.5

170.4 275.128

156.0 17.78

0.0 #DIV/0!

0.0 #DIV/0!

0.0 #DIV/0!

0 0 0 625.5 871.6#DIV/0! #DIV/0! #DIV/0! Standerd Error(SE) for unequal replications =#DIV/0! #DIV/0! #DIV/0! Standerd Error(SE) for equal replications =

#DIV/0! #DIV/0! #DIV/0! 431.9 Put t value from table for df of n in the box =

Critical Difference for unequal replications = t * SECritical Difference for equal replications = t * SE

square of total/n = suare of total 391250.25 19562.513n= 20

5t-1= 4n-1= 19r= 4

r-1= 3Error SS by direct formula= 351.11




t(number)=

ANOVASource of variation Degree of Freedom(df) Sum of Square(SS)

Between Replications 3 80.80Between Treatments 4 520.53

Error 12 351.11Total 19 952.44

Coeficient of Variance(CV) = SD/mean= 22.64

Mean Square(MS) F

26.93 0.92130.13 4.4529.26

Factorial RBD for three factors and two levels1)Put data in Pink region and remove sample data, 2)Don’t delete any number or formula from blue region


Note: 1)Sheet has used freeze panes. 2) If any doubt in calculation, contact Dr Sangita Warade on 9860470598Replications/Treatments T1 T2 T3 T4 T5 T6 T7

R1 122.8 108.2 114.6 115.8 128.9 112.4 119.8

R2 127.8 117.6 113.3 108.6 129.1 123.8 122.8

R3 126 107.1 119.5 124 134.6 115.8 120.4

R4

R5

R6

R7

Total 376.6 332.9 347.4 348.4 392.6 352 363

Mean 125.5333 111 115.8 116.133 130.867 117.333 121

Rank Mean 2 8 7 6 1 5 3

Sqaure of Sum 12.82667 66.607 21.38 118.747 20.9267 68.5067 5.04

one n 709.5 695.8 744.6 721.6

-43.7 1 -40.6 -4.4

two n 1405.3 1466.2

-42.7 -45

-13.7 -23

44.7 36.2

three n 2871.5

-87.7

-36.7

80.9

60.9

-2.3

-9.3

-8.5




Note: 1)Sheet has used freeze panes. 2) If any doubt in calculation, contact Dr Sangita Warade on 9860470598T8 T9 T10 T11 T12 T13 T14 T15 T16 T17

116.8

125.3

116.5

358.6 0 0 0 0 0 0 0 0 0

119.533 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

4 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

49.9267 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0



T18 T19 T20 T21 T22 T23 T24 T25 T26 T27

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0


T28 T29 T30 T31 T32 T33 T34 T35 T36 T37

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0

0

0

0

0

0

0

0

T38 T39 T40 T41 T42 T43 T44 T45 T46 T47

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T48 T49 T50 T51 T52 T53 T54 T55 T56 T57

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

T58 T59 T60 T61 T62 T63 T64 T65 T66 T67

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T68 T69 T70 T71 T72 T73 T74 T75 T76 T77

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0

0

0

0

0

0

0

0

T78 T79 T80 T81 T82 T83 T84 T85 T86 T87

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T88 T89 T90 T91 T92 T93 T94 T95 T96 T97

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

T98 T99 T100 T101 T102 T103 T104 T105 T106 T107

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T108 T109 T110 T111 T112 T113 T114 T115 T116 T117

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0

0

0

0

0

0

0

0

T118 T119 T120 T121 T122 T123 T124 T125 T126 T127

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T128 T129 T130 T131 T132 T133 T134 T135 T136 T137

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

T138 T139 T140 T141 T142 T143 T144 T145 T146 T147

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T148 T149 T150 T151 T152 T153 T154 T155 T156 T157

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0

0

0

0

0

0

0

0


968.3 366.019

963.9 459.969

0.0 #DIV/0!

0.0 #DIV/0!

0.0 #DIV/0!

0.0 #DIV/0!


#DIV/0! #DIV/0! #DIV/0! 364.0 Put t value from table for df of n in the box =Critical Difference for unequal replications = t * SECritical Difference for equal replications = t * SE

0

0

square of total/n = suare of total 8245512.25 343563n= 24

8t-1= 7n-1= 23r= 3





t(number)=



T2 1 320.47T3 1 56.12T4 1 272.70T5 1 154.53T6 1 0.22T7 1 3.60

T8 1 3.01

Error 14 302.90Total 23 1174.62


Mean Square(MS) F SE CD

30.53 1.41115.81 5.35320.47 14.81 1.8989241 4.490955556.12 2.59 1.8989241 4.4909555

272.70 12.60 2.6854842 6.3511701154.53 7.14

0.22 0.013.60 0.17

3.01 0.14

21.64

Factorial RBD for two factors and four levels1)Put data in Pink region and remove sample data, 2)Don’t delete any number or formula from blue region


Note: 1)Sheet has used freeze panes. 2) If any doubt in calculation, contact Dr Sangita Warade on 9860470598Replications/Treatments T1 T2 T3 T4 T5 T6 T7

R1 11.8 12.38 13.17 13.85 12.2 12.79 14.35

R2 11.5 12.3 13.18 13.88 12.4 12.7 14.4

R3 11.2 12.2 13.16 13.8 12.12 12.8 14.42

R4

R5

R6

R7

Total 34.5 36.88 39.51 41.53 36.72 38.29 43.17

Mean 11.5 12.293 13.17 13.8433 12.24 12.7633 14.39

Rank Mean 16 14 11 8 15 13 5

Sqaure of Sum 0.18 0.0163 0.0002 0.00327 0.0416 0.00607 0.0026

one n 71.38 81.04 75.01 85.65

2.38 2.02 1.57 -0.69

two n 152.42 160.66

4.4 0.88

9.66 10.64

-0.36 -2.26

three n 313.08

5.28

20.3

-2.62

8.24

-3.52

0.98

-1.9

T1 659.7

T2 8.42

T3 39.2

T4 -4.6

T5 14.28

T6 -3.52

T7 -0.06

T8 -2.38

T9 33.54

T10 -2.14

T11 -1.4


T12 0.64

T13 -2.2

T14 3.52

T15 -2.02

T16 1.42



Note: 1)Sheet has used freeze panes. 2) If any doubt in calculation, contact Dr Sangita Warade on 9860470598T8 T9 T10 T11 T12 T13 T14 T15 T16 T17

14.18 13 13.56 14.96 15.08 13.7 14.2 15.38 15.5

14.1 13.2 13.5 14.99 15.1 13.8 14.1 15.4 15.3

14.2 13.3 13.6 14.91 15.09 13.65 14.25 15.45 15.6

42.48 39.5 40.66 44.86 45.27 41.15 42.55 46.23 46.4 0

14.16 13.1667 13.5533 14.9533 15.09 13.7167 14.1833 15.41 15.4667 #DIV/0!

7 12 10 4 3 9 6 2 1 #DIV/0!

0.0056 0.04667 0.00507 0.00327 0.0002 0.01167 0.01167 0.0026 0.04667 #DIV/0!

80.16 90.13 83.7 92.63 0

1.16 0.41 1.4 0.17 0

170.29 176.33 0

1.57 1.57 0

9.97 8.93 0

-0.75 -1.23 0

346.62 0

3.14 0

18.9 0

-1.98 0

6.04 0

-7E-015 0

-1.04 0

-0.48 0



T18 T19 T20 T21 T22 T23 T24 T25 T26 T27

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0


T28 T29 T30 T31 T32 T33 T34 T35 T36 T37

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0

0

0

0

0

0

0

0

T38 T39 T40 T41 T42 T43 T44 T45 T46 T47

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T48 T49 T50 T51 T52 T53 T54 T55 T56 T57

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

T58 T59 T60 T61 T62 T63 T64 T65 T66 T67

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T68 T69 T70 T71 T72 T73 T74 T75 T76 T77

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0

0

0

0

0

0

0

0

T78 T79 T80 T81 T82 T83 T84 T85 T86 T87

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T88 T89 T90 T91 T92 T93 T94 T95 T96 T97

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

T98 T99 T100 T101 T102 T103 T104 T105 T106 T107

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T108 T109 T110 T111 T112 T113 T114 T115 T116 T117

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0

0

0

0

0

0

0

0

T118 T119 T120 T121 T122 T123 T124 T125 T126 T127

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T128 T129 T130 T131 T132 T133 T134 T135 T136 T137

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

0 0

T138 T139 T140 T141 T142 T143 T144 T145 T146 T147

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0

0 0

0 0

0 0

0

0

0

0

0

0

0

0

T148 T149 T150 T151 T152 T153 T154 T155 T156 T157

0 0 0 0 0 0 0 0 0 0




0 0 0 0 0

0 0 0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0

0

0

0

0

0

0

0


219.9 19.9505

219.8 23.4012

0.0 #DIV/0!

0.0 #DIV/0!

0.0 #DIV/0!

0.0 #DIV/0!


#DIV/0! #DIV/0! #DIV/0! 0.4 Put t value from table for df of n in the box =CD Critical Difference for unequal replications = t * SECD Critical Difference for equal replications = t * SE

0

0

square of total/n = suare of total 435204.09 9066.7519n= 48

16t-1= 15n-1= 47r= 3




CD Critical Difference for unequal replications = t * SE 0.1957CD Critical Difference for equal replications = t * SE 0.1957

t(number)=



T2 1 2.95T3 1 64.03T4 1 0.88T5 1 8.50T6 1 0.52T7 1 0.00

T8 1 0.24T9 1 46.872

T10 1 0.191T11 1 0.082T12 1 0.017T13 1 0.202T14 1 0.516T15 1 0.170T16 1 0.084

Error 30 0.379Total 47 63.01


Mean Square(MS) F SE CD

0.00 0.164.17 0.162.95 0.16 0.045906759 0.0978273

64.03 0.16 0.045906759 0.09782730.88 0.168.50 0.160.52 0.160.00 0.16

0.24 0.16

46.87 0.160.19 0.160.08 0.160.02 0.160.20 0.160.52 0.160.17 0.160.08 0.16 0.064921962 0.13834870.01

Documents

CRD RBD Factorial FRBD Design Analysis Sheet in Excel by Sangita