5.4. To establish whether RATE is indeed needed to predict the effectiveness of a treatment, a formal test can be used. Give the name of this test, state the hypothesis, test statistic formula and the decision rule.
5.4. To establish whether RATE is indeed needed to predict the effectiveness of a treatment, a formal test can be used. Give the name of this test, state the hypothesis, test statistic formula and the decision rule.
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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Question
Transcribed Image Text:5.1. A study was conducted to ascertain the effectiveness of a treatment of diseased plants. A recorded
value of Y = 1 indicates that the treatment is effective and a value of Y = 0 is recorded when no
effect is noticed. The outcome of the effectiveness of the treatment considers the treatment
dosage, the above ground biomass, the rate of growth and the height of a plant recorded as 1 if
above average height and recorded 0 as below average height. The following partial data set is
provided.
EFFECTS (Y) DOSAGE X₁
0.2138
0.3907
0.2138
1
1
0
The output for running the full logistic regression model is given below:
Coefficients
(Intercept)
HEIGHT
BIOMASS
RATE
DOSAGE
Coefficients
RATE
(Intercept)
BIOMASS
Estimate
-1.23
0.31
0.33
0.34
-1.86
Log Likelihood: - 2.579
The output for the reduced model is given below:
Estimate
-1.25
0.21
BIOMASS X₂ RATE X3
0.0525
1.1
0.0264
1.2
0.0920
1.3
0.41
Log Likelihood: -4.246
Answer the following questions.
Std. Error
0.6795
0.6821
5.9374
2.4112
2.1420
Std. Error
0.4129
4.7390
2.4223
6
z value
-1.653
0.456
2.594
3.167
-0866
z value
-2.488
2.572
3.161
HEIGHT X4
0
1
1
Pr(>Z)
0.0984
0.6484
0.0095
0.0076
0.3864
Pr(>Z)
0.0144
0.0101
0.0076
5.4. To establish whether RATE is indeed needed to predict the effectiveness of a treatment, a formal
test can be used. Give the name of this test, state the hypothesis, test statistic formula and the
decision rule.
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