The article "Organic Recycling for Soil Quality Conservation in a Sub-Tropical Plateau Region" (K. Chakrabarti, B. Sarkar, et al., J. Agronomy and Crop Science, 2000:137-142) reports an experiment in which soil specimens were treated with six different treatments, with two replicates per treatment, and the acid phosphate activity (in umol p-nitrophenol released per gram of oven-dry soil per hour) was recorded. An ANOVA table for a one-way ANOVA follows. One-way ANOVA: Treatments A, B, C, D, E, F Source DF MS Treatment 1.18547 0.23709 46.64 0.000 Епог 0.03050 0.00508 Total 11 1.21597 The treatment means were А в с D E F Treatment 0.99 1.99 1.405 1.63 1.395 1.22 Mean Can you conclude that there are differences in acid phosphate activity among the treatments? a. Use the Tukey-Kramer method to determine which pairs of treatment means, if any, are different at the 5% level. Use the Bonferoni method to determine which pairs of treatment means, b. if any, are C. different at the 5% level. d. Which method is more powerful in this case, the Tukey-Kramer method or the Bonferroni method? The experimenter notices that treatment A had the smallest sample mean, while treatment B had the largest. Of the Fisher LSD method, the Bonferoni method, and the Tukey-Kramer method, which, if any, can be used to test the hypothesis that these two treatment means are equal? e.

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The article "Organic Recycling for Soil Quality Conservation in a Sub-Tropical Plateau
Region" (K. Chakrabarti, B. Sarkar, et al., J. Agronomy and Crop Science, 2000:137-142)
reports an experiment in which soil specimens were treated with six different treatments,
with two replicates per treatment, and the acid phosphate activity (in umol p-nitrophenol
released per gram of oven-dry soil per hour) was recorded. An ANOVA table for a one-way
ANOVA follows.
One-way ANOVA: Treatments A, B, C, D, E, F
Source
DF
MS
Treatment
1.18547
0.23709
46.64
0.000
Епог
0.03050
0.00508
Total
11
1.21597
The treatment means were
А в с D E F
Treatment
0.99
1.99
1.405
1.63
1.395 1.22
Mean
Can you conclude that there are differences in acid phosphate activity among the
treatments?
a.
Use the Tukey-Kramer method to determine which pairs of treatment means, if any,
are different at the 5% level.
Use the Bonferoni method to determine which pairs of treatment means,
b.
if
any, are
C.
different at the 5% level.
d. Which method is more powerful in this case, the Tukey-Kramer method or the
Bonferroni method?
The experimenter notices that treatment A had the smallest sample mean, while
treatment B had the largest. Of the Fisher LSD method, the Bonferoni method, and the
Tukey-Kramer method, which, if any, can be used to test the hypothesis that these two
treatment means are equal?
e.
Transcribed Image Text:The article "Organic Recycling for Soil Quality Conservation in a Sub-Tropical Plateau Region" (K. Chakrabarti, B. Sarkar, et al., J. Agronomy and Crop Science, 2000:137-142) reports an experiment in which soil specimens were treated with six different treatments, with two replicates per treatment, and the acid phosphate activity (in umol p-nitrophenol released per gram of oven-dry soil per hour) was recorded. An ANOVA table for a one-way ANOVA follows. One-way ANOVA: Treatments A, B, C, D, E, F Source DF MS Treatment 1.18547 0.23709 46.64 0.000 Епог 0.03050 0.00508 Total 11 1.21597 The treatment means were А в с D E F Treatment 0.99 1.99 1.405 1.63 1.395 1.22 Mean Can you conclude that there are differences in acid phosphate activity among the treatments? a. Use the Tukey-Kramer method to determine which pairs of treatment means, if any, are different at the 5% level. Use the Bonferoni method to determine which pairs of treatment means, b. if any, are C. different at the 5% level. d. Which method is more powerful in this case, the Tukey-Kramer method or the Bonferroni method? The experimenter notices that treatment A had the smallest sample mean, while treatment B had the largest. Of the Fisher LSD method, the Bonferoni method, and the Tukey-Kramer method, which, if any, can be used to test the hypothesis that these two treatment means are equal? e.
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