The Behavioural Insights Team · 2019-01-29 · YSA sample 60 Non 80 -YSA sample 100 24.19 Non-YSA...
67
Transcript of The Behavioural Insights Team · 2019-01-29 · YSA sample 60 Non 80 -YSA sample 100 24.19 Non-YSA...
44.8948.75
+
01
02
03
04
05
0
Control Treatment
𝛼
𝛼
𝐶𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑖𝑜𝑛 𝐵𝑒𝑡𝑤𝑒𝑒𝑛 𝐶𝑜𝑛𝑠𝑡𝑟𝑢𝑐𝑡 𝑎𝑛𝑑 𝐶𝑜𝑚𝑝𝑎𝑟𝑖𝑠𝑜𝑛
√(𝐶𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑖𝑜𝑛 𝑤𝑖𝑡ℎ𝑖𝑛 𝐶𝑜𝑛𝑠𝑡𝑟𝑢𝑐𝑡 ⋅ 𝐶𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑖𝑜𝑛 𝑤𝑖𝑡ℎ𝑖𝑛 𝐶𝑜𝑚𝑝𝑎𝑟𝑖𝑠𝑜𝑛)
𝑆𝑖𝑐 = 𝛼 + 𝛽1𝑇𝑖𝑐 + 𝛽2𝐶𝑐 + 𝛽3𝑋𝑖𝑐 + 𝑢𝑖𝑐
𝑆𝑖𝑐
𝛼
𝑇𝑖𝑐
𝐶 ∈ {0,1} 𝛽1
𝐶𝑖𝑐
𝑋𝑖𝑐
𝑢𝑖𝑐
𝑆𝑖𝑡 = 𝛼 + 𝛽1𝑇𝑖𝑡 + 𝑢𝑖
𝑆𝑖𝑡
𝛼
𝑇𝑖𝑡
𝐶 ∈ {0,1} 𝛽1
𝑢𝑖
𝐻𝑖𝑐 = 𝛼 + 𝛽1𝑇𝑖 + 𝛽2𝒇𝒄 + 𝑢𝑖
𝐻𝑖𝑐
𝛼
𝑇𝑖
𝒇𝒄
𝑢𝑖𝑐