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Field
Power calculation: Minimum Detectable Effect Size for Main Outcomes
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Before
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After
Power analyses based on results from quantitative pretest
Hypothesis 1: Respondents are less likely to support the Co2 policy if they receive the economic treatment, as compared to the control group.
Alpha = 0.05 Alpha = 0.001
Alpha 0,05 0,001
Power 0,999986 0,997783
N 1500 1500
N1 750 750
N2 750 750
Delta -0,3948 -0,3948
m1 2,952941 2,952941
m2 2,55814 2,55814
Std. Dev. 1 1,318344 1,318344
Std. Dev. 2 1,164218 1,164218
Hypothesis 2: Respondents are more likely to support the Co2 policy if they receive the generational treatment, as compared to the control group.
Alpha = 0.05 Alpha = 0.001
Alpha 0,05 0,001
Power 0,200147 0,014756
N 1500 1500
N1 750 750
N2 750 750
Delta -0,07489 -0,07489
m1 2,952941 2,952941
m2 2,878049 2,878049
Std. Dev. 1 1,280865 1,280865
Std. Dev. 2 1,318344 1,318344
Hypothesis 3: Respondents are less likely to support the Co2 policy if they receive the economic treatment, as compared to the economic treatment.
Alpha = 0.05 Alpha = 0.001
Alpha 0,05 0,001
Power 0,998728 0,953673
N 1500 1500
N1 750 750
N2 750 750
Delta 0,319909 0,319909
m1 2,55814 2,55814
m2 2,878049 2,878049
Std. Dev. 1 1,164218 1,164218
Std. Dev. 2 1,318344 1,318344
Order effect hypotheses:
Hypothesis 4: Respondents are more likely to support the Co2 policy if they receive the generational treatment, as compared to the mixed treatment group.
Hypothesis 5: Respondents are less likely to support the Co2 policy if they receive the economic treatment, as compared to the mixed treatment group.
Hypothesis 6: There is an order effect in whether respondents see the economic or the generational treatment first.
H4 H5 H6
Alpha 0,05 0,05 0,05
Power 0,999867 0,133363 0,051833
N 1500 1500 750
N1 750 750 375
N2 750 750 375
Delta 0,372167 0,052258 -0,01163
m1 2,505882 2,505882 2,511628
m2 2,878049 2,55814 2,5
Std. Dev. 1 1,249986 1,249986 1,241583
Std. Dev. 2 1,318344 1,164218 1,273558
Court treatment hypothesis:
Hypothesis 7: Respondents are less likely to support the Co2 policy if they receive the court treatment, as compared to the control group.
Alpha = 0.05 Alpha = 0.001
Alpha 0,05 0,001
Power 1 1
N 6000 6000
N1 3000 3000
N2 3000 3000
Delta 0,349827 0,349827
m1 2,54491 2,54491
m2 2,894737 2,894737
Std. Dev. 1 1,240417 1,240417
Std. Dev. 2 1,265156 1,265156
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