Printout of 3-factor Data 1

09:06 Wednesday, November 6, 2002

Obs rep a b c yield

1 1 0 0 0 25.7

2 2 0 0 0 25.4

3 3 0 0 0 23.8

4 4 0 0 0 22.0

5 1 0 0 1 31.8

6 2 0 0 1 29.5

7 3 0 0 1 28.7

8 4 0 0 1 26.4

9 1 0 0 2 34.6

10 2 0 0 2 37.2

11 3 0 0 2 29.1

12 4 0 0 2 23.7

13 1 0 1 0 27.7

14 2 0 1 0 30.3

15 3 0 1 0 30.2

16 4 0 1 0 33.2

17 1 0 1 1 38.0

18 2 0 1 1 40.6

19 3 0 1 1 34.6

20 4 0 1 1 31.0

21 1 0 1 2 42.1

22 2 0 1 2 43.6

23 3 0 1 2 44.6

24 4 0 1 2 42.7

25 1 1 0 0 28.9

26 2 1 0 0 24.7

27 3 1 0 0 27.8

28 4 1 0 0 23.4

29 1 1 0 1 37.5

30 2 1 0 1 31.5

31 3 1 0 1 31.0

32 4 1 0 1 27.8

33 1 1 0 2 38.4

34 2 1 0 2 32.5

35 3 1 0 2 31.2

36 4 1 0 2 29.8

37 1 1 1 0 38.0

38 2 1 1 0 31.0

39 3 1 1 0 29.5

40 4 1 1 0 30.7

41 1 1 1 1 36.9

42 2 1 1 1 31.9

43 3 1 1 1 31.5

44 4 1 1 1 35.9

45 1 1 1 2 44.2

46 2 1 1 2 41.6

47 3 1 1 2 38.9

48 4 1 1 2 37.6

49 1 2 0 0 23.4

50 2 2 0 0 24.2

51 3 2 0 0 21.2

52 4 2 0 0 20.9

53 1 2 0 1 25.3

54 2 2 0 1 27.7

55 3 2 0 1 23.7

Printout of 3-factor Data 2

09:06 Wednesday, November 6, 2002

Obs rep a b c yield

56 4 2 0 1 24.3

57 1 2 0 2 29.8

58 2 2 0 2 29.9

59 3 2 0 2 24.3

60 4 2 0 2 23.8

61 1 2 1 0 20.8

62 2 2 1 0 23.0

63 3 2 1 0 25.2

64 4 2 1 0 23.1

65 1 2 1 1 29.0

66 2 2 1 1 32.0

67 3 2 1 1 26.5

68 4 2 1 1 31.2

69 1 2 1 2 36.6

70 2 2 1 2 37.8

71 3 2 1 2 34.8

72 4 2 1 2 40.2

ANOVA for A whole plot, BxC factorial arrangement forsubplot 3

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

Class Level Information

Class Levels Values

rep 4 1 2 3 4

a 3 0 1 2

b 2 0 1

c 3 0 1 2

Number of observations 72

ANOVA for A whole plot, BxC factorial arrangement forsubplot 4

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

Dependent Variable: yield

Sum of

Source DF Squares Mean Square F Value Pr > F

Model 26 2593.765278 99.760203 18.19 <.0001

Error 45 246.840833 5.485352

Corrected Total 71 2840.606111

R-Square Coeff Var Root MSE yield Mean

0.913103 7.570709 2.342083 30.93611

Source DF Anova SS Mean Square F Value Pr > F

rep 3 143.4561111 47.8187037 8.72 0.0001

a 2 443.6886111 221.8443056 40.44 <.0001

a(rep) 6 111.7580556 18.6263426 3.40 0.0076

b 1 706.8800000 706.8800000 128.87 <.0001

c 2 962.3352778 481.1676389 87.72 <.0001

a*b 2 40.6875000 20.3437500 3.71 0.0323

a*c 4 13.1097222 3.2774306 0.60 0.6663

b*c 2 127.8308333 63.9154167 11.65 <.0001

a*b*c 4 44.0191667 11.0047917 2.01 0.1098

Tests of Hypotheses Using the Anova MS for a(rep) as an Error Term

Source DF Anova SS Mean Square F Value Pr > F

a 2 443.6886111 221.8443056 11.91 0.0081

ANOVA for A whole plot, BxC factorial arrangement forsubplot 5

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

t Tests (LSD) for yield

NOTE: This test controls the Type I comparisonwise error rate, not the

experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 6

Error Mean Square 18.62634

Critical Value of t 2.44691

Least Significant Difference 3.0485

Means with the same letter are not significantly different.

t Grouping Mean N a

A 33.008 24 1

A

A 32.354 24 0

B 27.446 24 2

ANOVA for A whole plot, BxC factorial arrangement for subplot 6

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

t Tests (LSD) for yield

NOTE: This test controls the Type I comparisonwise error rate, not the

experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 45

Error Mean Square 5.485352

Critical Value of t 2.01410

Least Significant Difference 1.1119

Means with the same letter are not significantly different.

t Grouping Mean N b

A 34.0694 36 1

B 27.8028 36 0

ANOVA for A whole plot, BxC factorial arrangement for subplot 7

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

t Tests (LSD) for yield

NOTE: This test controls the Type I comparisonwise error rate, not the

experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 45

Error Mean Square 5.485352

Critical Value of t 2.01410

Least Significant Difference 1.3617

Means with the same letter are not significantly different.

t Grouping Mean N c

A 35.3750 24 2

B 31.0125 24 1

C 26.4208 24 0

ANOVA for A whole plot, BxC factorial arrangement for subplot 8

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

Level of Level of ------yield------

a b N Mean Std Dev

0 0 12 28.1583333 4.60265898

0 1 12 36.5500000 6.06907212

1 0 12 30.3750000 4.45831705

1 1 12 35.6416667 4.72179826

2 0 12 24.8750000 2.90458102

2 1 12 30.0166667 6.42761561

Level of Level of ------yield------

a c N Mean Std Dev

0 0 8 27.2875000 3.75858541

0 1 8 32.5750000 4.83462216

0 2 8 37.2000000 7.60263112

1 0 8 29.2500000 4.45517356

1 1 8 33.0000000 3.39369163

1 2 8 36.7750000 5.13051097

2 0 8 22.7250000 1.61842075

2 1 8 27.4625000 3.08773495

2 2 8 32.1500000 6.15838569

Level of Level of ------yield------

b c N Mean Std Dev

0 0 12 24.2833333 2.43229534

0 1 12 28.7666667 3.85871701

0 2 12 30.3583333 4.87320285

1 0 12 28.5583333 4.86872362

1 1 12 33.2583333 4.02367049

1 2 12 40.3916667 3.22813155

Level of Level of Level of ------yield------

a b c N Mean Std Dev

0 0 0 4 24.2250000 1.70171482

0 0 1 4 29.1000000 2.22860195

0 0 2 4 31.1500000 6.00583050

0 1 0 4 30.3500000 2.24870333

0 1 1 4 36.0500000 4.16773320

0 1 2 4 43.2500000 1.09087121

1 0 0 4 26.2000000 2.57811301

1 0 1 4 31.9500000 4.04680944

1 0 2 4 32.9750000 3.78098312

1 1 0 4 32.3000000 3.85486705

1 1 1 4 34.0500000 2.74893919

1 1 2 4 40.5750000 2.93527398

2 0 0 4 22.4250000 1.62557682

2 0 1 4 25.2500000 1.76162803

ANOVA for A whole plot, BxC factorial arrangement for subplot 9

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

Level of Level of Level of ------yield------

a b c N Mean Std Dev

2 0 2 4 26.9500000 3.35509563

2 1 0 4 23.0250000 1.79698822

2 1 1 4 29.6750000 2.46762369

2 1 2 4 37.3500000 2.26495033

ANOVA for AxB factorial arrangment for whole plot, Csuplot. 10

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

Class Level Information

Class Levels Values

rep 4 1 2 3 4

a 3 0 1 2

b 2 0 1

c 3 0 1 2

Number of observations 72

ANOVA for AxB factorial arrangement for whole plot, C subplot. 11

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

Dependent Variable: yield

Sum of

Source DF Squares Mean Square F Value Pr > F

Model 35 2672.107778 76.345937 16.31 <.0001

Error 36 168.498333 4.680509

Corrected Total 71 2840.606111

R-Square Coeff Var Root MSE yield Mean

0.940682 6.993279 2.163448 30.93611

Source DF Anova SS Mean Square F Value Pr > F

rep 3 143.4561111 47.8187037 10.22 <.0001

a 2 443.6886111 221.8443056 47.40 <.0001

b 1 706.8800000 706.8800000 151.03 <.0001

a*b 2 40.6875000 20.3437500 4.35 0.0204

a*b(rep) 15 190.1005556 12.6733704 2.71 0.0072

c 2 962.3352778 481.1676389 102.80 <.0001

a*c 4 13.1097222 3.2774306 0.70 0.5969

b*c 2 127.8308333 63.9154167 13.66 <.0001

a*b*c 4 44.0191667 11.0047917 2.35 0.0725

Tests of Hypotheses Using the Anova MS for a*b(rep) as an Error Term

Source DF Anova SS Mean Square F Value Pr > F

a 2 443.6886111 221.8443056 17.50 0.0001

b 1 706.8800000 706.8800000 55.78 <.0001

a*b 2 40.6875000 20.3437500 1.61 0.2335

ANOVA for AxB factorial arrangement for whole plot, C subplot. 12

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

t Tests (LSD) for yield

NOTE: This test controls the Type I comparisonwise error rate, not the

experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 15

Error Mean Square 12.67337

Critical Value of t 2.13145

Least Significant Difference 2.1904

Means with the same letter are not significantly different.

t Grouping Mean N a

A 33.008 24 1

A

A 32.354 24 0

B 27.446 24 2

ANOVA for AxB factorial arrangement for whole plot, C subplot. 13

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

t Tests (LSD) for yield

NOTE: This test controls the Type I comparisonwise error rate, not the

experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 15

Error Mean Square 12.67337

Critical Value of t 2.13145

Least Significant Difference 1.7885

Means with the same letter are not significantly different.

t Grouping Mean N b

A 34.0694 36 1

B 27.8028 36 0

ANOVA for AxB factorial arrangement for whole plot, C subplot. 14

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

t Tests (LSD) for yield

NOTE: This test controls the Type I comparisonwise error rate, not the

experimentwise error rate.

Alpha 0.05

Error Degrees of Freedom 36

Error Mean Square 4.680509

Critical Value of t 2.02809

Least Significant Difference 1.2666

Means with the same letter are not significantly different.

t Grouping Mean N c

A 35.3750 24 2

B 31.0125 24 1

C 26.4208 24 0

ANOVA for AxB factorial arrangement for whole plot, C subplot. 15

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

Level of Level of ------yield------

a b N Mean Std Dev

0 0 12 28.1583333 4.60265898

0 1 12 36.5500000 6.06907212

1 0 12 30.3750000 4.45831705

1 1 12 35.6416667 4.72179826

2 0 12 24.8750000 2.90458102

2 1 12 30.0166667 6.42761561

Level of Level of ------yield------

a c N Mean Std Dev

0 0 8 27.2875000 3.75858541

0 1 8 32.5750000 4.83462216

0 2 8 37.2000000 7.60263112

1 0 8 29.2500000 4.45517356

1 1 8 33.0000000 3.39369163

1 2 8 36.7750000 5.13051097

2 0 8 22.7250000 1.61842075

2 1 8 27.4625000 3.08773495

2 2 8 32.1500000 6.15838569

Level of Level of ------yield------

b c N Mean Std Dev

0 0 12 24.2833333 2.43229534

0 1 12 28.7666667 3.85871701

0 2 12 30.3583333 4.87320285

1 0 12 28.5583333 4.86872362

1 1 12 33.2583333 4.02367049

1 2 12 40.3916667 3.22813155

Level of Level of Level of ------yield------

a b c N Mean Std Dev

0 0 0 4 24.2250000 1.70171482

0 0 1 4 29.1000000 2.22860195

0 0 2 4 31.1500000 6.00583050

0 1 0 4 30.3500000 2.24870333

0 1 1 4 36.0500000 4.16773320

0 1 2 4 43.2500000 1.09087121

1 0 0 4 26.2000000 2.57811301

1 0 1 4 31.9500000 4.04680944

1 0 2 4 32.9750000 3.78098312

1 1 0 4 32.3000000 3.85486705

1 1 1 4 34.0500000 2.74893919

1 1 2 4 40.5750000 2.93527398

2 0 0 4 22.4250000 1.62557682

2 0 1 4 25.2500000 1.76162803

ANOVA for AxB factorial arrangement for whole plot, C subplot. 16

All factors fixed

09:06 Wednesday, November 6, 2002

The ANOVA Procedure

Level of Level of Level of ------yield------

a b c N Mean Std Dev

2 0 2 4 26.9500000 3.35509563

2 1 0 4 23.0250000 1.79698822

2 1 1 4 29.6750000 2.46762369

2 1 2 4 37.3500000 2.26495033