the behavioural insights team · 2019-01-29 · ysa sample 60 non 80 -ysa sample 100 24.19 non-ysa...
TRANSCRIPT
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44.8948.75
+
01
02
03
04
05
0
Control Treatment
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𝛼
𝛼
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𝐶𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑖𝑜𝑛 𝐵𝑒𝑡𝑤𝑒𝑒𝑛 𝐶𝑜𝑛𝑠𝑡𝑟𝑢𝑐𝑡 𝑎𝑛𝑑 𝐶𝑜𝑚𝑝𝑎𝑟𝑖𝑠𝑜𝑛
√(𝐶𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑖𝑜𝑛 𝑤𝑖𝑡ℎ𝑖𝑛 𝐶𝑜𝑛𝑠𝑡𝑟𝑢𝑐𝑡 ⋅ 𝐶𝑜𝑟𝑟𝑒𝑙𝑎𝑡𝑖𝑜𝑛 𝑤𝑖𝑡ℎ𝑖𝑛 𝐶𝑜𝑚𝑝𝑎𝑟𝑖𝑠𝑜𝑛)
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𝑆𝑖𝑐 = 𝛼 + 𝛽1𝑇𝑖𝑐 + 𝛽2𝐶𝑐 + 𝛽3𝑋𝑖𝑐 + 𝑢𝑖𝑐
𝑆𝑖𝑐
𝛼
𝑇𝑖𝑐
𝐶 ∈ {0,1} 𝛽1
𝐶𝑖𝑐
𝑋𝑖𝑐
𝑢𝑖𝑐
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𝑆𝑖𝑡 = 𝛼 + 𝛽1𝑇𝑖𝑡 + 𝑢𝑖
𝑆𝑖𝑡
𝛼
𝑇𝑖𝑡
𝐶 ∈ {0,1} 𝛽1
𝑢𝑖
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𝐻𝑖𝑐 = 𝛼 + 𝛽1𝑇𝑖 + 𝛽2𝒇𝒄 + 𝑢𝑖
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𝐻𝑖𝑐
𝛼
𝑇𝑖
𝒇𝒄
𝑢𝑖𝑐
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