An irrigation experiment was conducted in a randomized complete block design in a Lavencia orange grove....

An irrigation experiment was conducted in a randomized complete block design in a Lavencia orange grove. Six irrigation treatments were used in eight blocks of trees. The data below are the weight in pounds of harvested fruit from each plot.

a. Consider the flood irrigation method to be the standard practice. Use the Dunnett method to test the difference between the flood irrigation and each of the other methods

b. Calculate the F-statistic assuming a completely randomized one-way design. How different are the results?

c. Check the assumptions from part b. Make sure to include any plots in your solutions

method	block	weight
trickle	1	450
trickle	2	469
trickle	3	249
trickle	4	125
trickle	5	280
trickle	6	352
trickle	7	221
trickle	8	251
Basin	1	358
Basin	2	512
Basin	3	281
Basin	4	58
Basin	5	352
Basin	6	293
Basin	7	283
Basin	8	186
Spray	1	331
Spray	2	402
Spray	3	183
Spray	4	70
Spray	5	250
Spray	6	281
Spray	7	219
Spray	8	46
Sprinkler	1	317
Sprinkler	2	423
Sprinkler	3	379
Sprinkler	4	63
Sprinkler	5	289
Sprinkler	6	239
Sprinkler	7	269
Sprinkler	8	357
Sprinkler+Spray	1	479
Sprinkler+Spray	2	341
Sprinkler+Spray	3	404
Sprinkler+Spray	4	115
Sprinkler+Spray	5	182
Sprinkler+Spray	6	349
Sprinkler+Spray	7	276
Sprinkler+Spray	8	182
Flood	1	245
Flood	2	380
Flood	3	263
Flood	4	62
Flood	5	336
Flood	6	282
Flood	7	171
Flood	8	98

Solutions

Expert Solution

a. Consider the flood irrigation method to be the standard practice. Use the Dunnett method to test the difference between the flood irrigation and each of the other methods

Using the Dunnett Method and 95% Confidence

method	N	Mean	Grouping
Basin (control)	8	290.4	A
trickle	8	299.6	A
Sprinkler	8	292.0	A
Sprinkler+Spray	8	291.0	A
Flood	8	229.6	A
Spray	8	222.8	A

Means not labeled with the letter A are significantly different from the control level mean.

b. Calculate the F-statistic assuming a completely randomized one-way design. How different are the results?

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
method	5	48605	9721	2.32	0.064
block	7	457328	65333	15.60	0.000
Error	35	146575	4188
Total	47	652508

The F-statist ic is 2.32.

The results are not significant.

c. Check the assumptions from part b. Make sure to include any plots in your solutions

The assumptions are met.

orchestra answered 1 year ago

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