The ecologist studying the effects of phytohormones (auxin and cytokinin) on tumor induction in plants by insects, performed an experiment to determine if the form of the cytokinin affected the growth of tumors. She performed treatments each with the same total cytokinin and auxin concentrations, but with individual or mixtures of a few cytokinins (TZ – trans-zeatin, CZ - cis-zeatin, IP – isopentenyl adenosine, and IAA - indole acetic acid). Treatment 1 had auxin (IAA) alone so is not pertinent to the questions asked here, treatment 6 had TZ + IAA, treatment 17 had IP + IAA, treatment 18 had TZ+IP +IAA, treatment 19 had CZ + IAA, and treatment 20 had TZ+CZ+IP+IAA. Perform a priori contrasts comparing the effects of treatments with IP to treatments without IP and treatments with TZ to treatments with CZ (no treatments with both TZ and CZ). Use the data in the file "cytokinin.csv". (Note: Beware of missing value on row 13..)

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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The ecologist studying the effects of phytohormones (auxin and cytokinin) on tumor induction in plants by insects, performed an experiment to determine if the form of the cytokinin affected the growth of tumors. She performed treatments each with the same total cytokinin and auxin concentrations, but with individual or mixtures of a few cytokinins (TZ – trans-zeatin, CZ - cis-zeatin, IP – isopentenyl adenosine, and IAA - indole acetic acid). Treatment 1 had auxin (IAA) alone so is not pertinent to the questions asked here, treatment 6 had TZ + IAA, treatment 17 had IP + IAA, treatment 18 had TZ+IP +IAA, treatment 19 had CZ + IAA, and treatment 20 had TZ+CZ+IP+IAA.

Perform a priori contrasts comparing the effects of treatments with IP to treatments without IP and treatments with TZ to treatments with CZ (no treatments with both TZ and CZ). Use the data in the file "cytokinin.csv". (Note: Beware of missing value on row 13..)

 

cytokinin data

  Treatment sumdiff
1 1 0.02063830
2 1 0.02038461
3 1 0.02542857
4 1 0.01297872
5 1 0.02787234
6 1 0.00150000
7 1 0.01567568
8 1 0.02212766
9 6 0.05893617
10 6 0.04744681
11 6 -0.00600000
12 6 0.04212766
13 6  
14 6 0.03851064
15 6 0.02234043
16 6 0.02489362
17 17 0.04961538
18 17 0.03261905
19 17 0.05615385
20 17 0.02400000
21 17 0.03485714
22 17 0.06166667
23 17 0.07428571
24 17 0.04975000
25 18 0.07857143
26 18 0.06432432
27 18 0.05238095
28 18 0.04837838
29 18 0.04648649
30 18 0.08809524
31 18 0.03057143
32 18 0.07263158
33 19 0.01893617
34 19 0.03319149
35 19 0.03312500
36 19 0.02925000
37 19 0.03276596
38 19 0.04714286
39 19 0.03725000
40 19 0.04063830
41 20 0.03933333
42 20 0.04808511
43 20 0.03191489
44 20 0.06421053
45 20 0.05476190
46 20 0.03312500
47 20 0.04171429
48 20 0.03680851
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