Question
In: Math
An experiment was conducted to see the effectiveness of two antidotes to three different doses of...
An experiment was conducted to see the effectiveness of two
antidotes to three different doses of a toxin. The antidote was
given to a different sample of participants five minutes after the
toxin. Twenty-five minutes later the response was measured as the
concentration in the blood. What can the researchers conclude with
α = 0.01?
| Dose | |||
| Antidote | 5 | 10 | 15 |
| 1 | 0.6 1.1 1.1 |
2.1 1.5 6.2 |
3.1 4.1 5.9 |
| 2 | 1.1 1.2 1.1 |
1.7 1.3 1.5 |
2.1 3.1 2.1 |
Compute the corresponding effect size(s) and indicate
magnitude(s).
Antidote: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Dose: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
Interaction: η2
= ; ---Select--- na trivial effect small
effect medium effect large effect
d) Make an interpretation based on the
results.
There is an antidote difference in blood concentration.There is no antidote difference in blood concentration.
There is a dose difference in blood concentration.There is no dose different in blood concentration.
There is an antidote by dose interaction in blood concentration.There is no antidote by dose interaction in blood concentration.
Solutions
Expert Solution
| Anova: Two-Factor With Replication | ||||||
| SUMMARY | 5 | 10 | 15 | Total | ||
| 1 | ||||||
| Count | 3 | 3 | 3 | 9 | ||
| Sum | 2.8 | 9.8 | 13.1 | 25.7 | ||
| Average | 0.933333 | 3.266667 | 4.366667 | 2.855556 | ||
| Variance | 0.083333 | 6.543333 | 2.013333 | 4.465278 | ||
| 2 | ||||||
| Count | 3 | 3 | 3 | 9 | ||
| Sum | 3.4 | 4.5 | 7.3 | 15.2 | ||
| Average | 1.133333 | 1.5 | 2.433333 | 1.688889 | ||
| Variance | 0.003333 | 0.04 | 0.333333 | 0.431111 | ||
| Total | ||||||
| Count | 6 | 6 | 6 | |||
| Sum | 6.2 | 14.3 | 20.4 | |||
| Average | 1.033333 | 2.383333 | 3.4 | |||
| Variance | 0.046667 | 3.569667 | 2.06 | |||
| ANOVA | ||||||
| Source of Variation | SS | df | MS | F | P-value | F crit |
| Sample | 6.125 | 1 | 6.125 | 4.075786 | 0.066418 | 4.747225 |
| Columns | 16.91444 | 2 | 8.457222 | 5.627726 | 0.018877 | 3.885294 |
| Interaction | 4.223333 | 2 | 2.111667 | 1.405176 | 0.282941 | 3.885294 |
| Within | 18.03333 | 12 | 1.502778 | |||
| Total | 45.29611 | 17 | ||||
c) ANTIDOTE 
=
SSeffect / SStotal= 6.125/45.2961=0.14
(small)
DOSE =SSeffect
/ SStotal = 16.91/45.296 = 0.37 medium
INTERACTION = SSeffect
/ SStotal = 4.22/45.296 = 0.09 (SMALL)
d)
There is no antidote difference in blood concentration.
There is no dose difference in blood concentration
There is no antidote by dose interaction in blood concentration.
milcah answered 8 months agoRelated Solutions
An experiment was conducted to see the effectiveness of two antidotes to three different doses of...
An experiment was conducted to see the effectiveness of two
antidotes to three different doses of a toxin. The antidote was
given to a different sample of participants five minutes after the
toxin. Thirty minutes later the response was measured as the
concentration in the blood. What can the researchers conclude with
an α of 0.01?
Dose
Antidote
5
10
15
1
0.6
6.5
1.1
2.1
1.5
2.4
3.1
4.1
5.9
2
1.1
1.2
1.1
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An experiment was conducted to see the effectiveness of two antidotes to three different doses of...
An experiment was conducted to see the effectiveness of two
antidotes to three different doses of a toxin. The antidote was
given to a different sample of participants five minutes after the
toxin. Thirty minutes later the response was measured as the
concentration in the blood. What can the researchers conclude with
an α of 0.05?
Dose
Antidote
5
10
15
1
0.6
1.1
1.1
2.1
1.5
2.4
3.1
4.1
5.9
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An experiment was conducted to see the effectiveness of two antidotes to three different doses of...
An experiment was conducted to see the effectiveness of two
antidotes to three different doses of a toxin. The antidote was
given to a different sample of participants five minutes after the
toxin. Twenty-five minutes later the response was measured as the
concentration in the blood. What can the researchers conclude with
an α of 0.05?
Dose
Antidote
5
10
15
1
0.6
1.1
1.1
2.1
1.5
2.4
3.1
4.1
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An experiment was conducted to see the effectiveness of two antidotes to three different doses of...
An experiment was conducted to see the effectiveness of two
antidotes to three different doses of a toxin. The antidote was
given to a different sample of participants five minutes after the
toxin. Twenty-five minutes later the response was measured as the
concentration in the blood. What can the researchers conclude with
α = 0.01?
Dose
Antidote
5
10
15
1
0.6
1.1
1.1
2.1
1.5
6.2
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4.1
5.9
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