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The following data set comes from Sokal & Rohlf (1995). "The oven-dry weights (in grams) of new growth in hybrid poplars grown in concrete soil frames and treated with lime (L), nitrogen (N), phosphorus (P), and potassium (K) are given below. The frames were laid out in three blocks." Note that O represents a control (no supplement).

The following data set comes from Sokal & Rohlf (1995). "The oven-dry weights (in grams) of new growth in hybrid poplars grown in concrete soil frames and treated with lime (L), nitrogen (N), phosphorus (P), and potassium (K) are given below. The frames were laid out in three blocks." Note that O represents a control (no supplement).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2. The following data set comes from Sokal & Rohlf (1995). "The oven-dry weights (in grams) of new growth in hybrid poplars grown in concrete soil frames and treated with lime (L), nitrogen (N), phosphorus (P), and potassium (K) are given below. The frames were laid out in three blocks." Note that O represents a control (no supplement). Treatments Blocks 0 P PK K NK N NP NPK 1 13.9 31.7 57.9 49.5 49.7 14.2 14.7 13.6 22.8 12.8 12.7 2 21.7 35.5 38.1 14.3 15.8 22.1 25.6 25.7 31.0 30.7 36.3 3 13.3 15.5 Treatments Blocks L LP LPK LK LNK LN LNP LNPK 1 53.4 2 15.3 11.8 17.8 16.6 41.2 43.0 63.8 19.4 23.2 21.4 20.1 59.3 62.5 59.7 15.9 22.7 20.6 15.1 32.0 37.1 41.3 53.5 3 58.5 (a) How would you describe the design of this experiment? Writet an appropriate model equation for this experiment, if we assume blocks do not interact with treatment factors but all treatment factor interactions are possible. (b) How would you set up the data frame for analysis in R? (c) Write out the Source and df columns for the ANOVA table. (d) How many df would be associated with the error if all interactions involving three or more interactions were pooled with the error? (e) For your model, what are the values of Y₂ and? How would the randomization have been conducted in this experiment? එමදි මට
Transcribed Image Text:2. The following data set comes from Sokal & Rohlf (1995). "The oven-dry weights (in grams) of new growth in hybrid poplars grown in concrete soil frames and treated with lime (L), nitrogen (N), phosphorus (P), and potassium (K) are given below. The frames were laid out in three blocks." Note that O represents a control (no supplement). Treatments Blocks 0 P PK K NK N NP NPK 1 13.9 31.7 57.9 49.5 49.7 14.2 14.7 13.6 22.8 12.8 12.7 2 21.7 35.5 38.1 14.3 15.8 22.1 25.6 25.7 31.0 30.7 36.3 3 13.3 15.5 Treatments Blocks L LP LPK LK LNK LN LNP LNPK 1 53.4 2 15.3 11.8 17.8 16.6 41.2 43.0 63.8 19.4 23.2 21.4 20.1 59.3 62.5 59.7 15.9 22.7 20.6 15.1 32.0 37.1 41.3 53.5 3 58.5 (a) How would you describe the design of this experiment? Writet an appropriate model equation for this experiment, if we assume blocks do not interact with treatment factors but all treatment factor interactions are possible. (b) How would you set up the data frame for analysis in R? (c) Write out the Source and df columns for the ANOVA table. (d) How many df would be associated with the error if all interactions involving three or more interactions were pooled with the error? (e) For your model, what are the values of Y₂ and? How would the randomization have been conducted in this experiment? එමදි මට
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