Question

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
2	1.1 2.5 1.1	1.7 1.3 1.5	2.1 3.1 2.1

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Obtain/compute the appropriate values to make a decision about H₀.
Antidote: critical value = ___________ ; test statistic = ___________
Decision: Reject H0 or Fail to reject H0

Dose: critical value = ___________ ; test statistic = ___________
Decision: Reject H0 or Fail to reject H0

Interaction: critical value = ___________ ; test statistic = ___________
Decision:   Reject H0 or Fail to reject H0


c) 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.

1)There is an antidote difference in blood concentration.

2)There is no antidote difference in blood concentration.    

1)There is a dose difference in blood concentration.

2)There is no dose different in blood concentration.    

1)There is an antidote by dose interaction in blood concentration.

2)There is no antidote by dose interaction in blood concentration.    

Answer 1

Anova: Two-Factor With Replication
SUMMARY	5	10	15	Total
1
Count	3	3	3	9
Sum	2.8	6	13.1	21.9
Average	0.933333	2	4.366667	2.433333
Variance	0.083333	0.21	2.013333	2.8925
2
Count	3	3	3	9
Sum	4.7	4.5	7.3	16.5
Average	1.566667	1.5	2.433333	1.833333
Variance	0.653333	0.04	0.333333	0.46
Total
Count	6	6	6
Sum	7.5	10.5	20.4
Average	1.25	1.75	3.4
Variance	0.415	0.175	2.06
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
antidote	1.62	1	1.62	2.916	0.113422	4.747225
dose	15.19	2	7.595	13.671	0.000805	3.885294
Interaction	4.963333	2	2.481667	4.467	0.035479	3.885294
Within	6.666667	12	0.555556
Total	28.44	17

b)
Antidote: critical value = ___4.747________ ; test statistic = ____2.916_______
Decision: Fail to reject H0

Dose: critical value = _3.885__________ ; test statistic = _13.671__________
Decision: Reject H0

Interaction: critical value = __3.885_________ ; test statistic = __4.467_________
Decision:   Reject H0

................

c)
Antidote: η² = 0.06
small effect
Dose: η² =0.53 large effect
Interaction: η² = 0.17 small effect

.......

d(

2)There is no antidote difference in blood concentration.    

1)There is a dose difference in blood concentration.

1)There is an antidote by dose interaction in blood concentration.

...............

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