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. 2023 May 31;25:e43132. doi: 10.2196/43132

Table 3.

Ordinary least squares regression model results, overall and per cluster, for clicks per impression (C/I) given the intervention arm, optimization phase, and interaction between both terms.

Estimator clicks per impression (C/I) Coefficient SE P value
Overall



Constant 0.3257 0.014 <.001

Intervention arm (β1) 0.0046 0.020 .82

Optimization phase (β2) –0.0091 0.020 .66

Arm × phase (β1×β2) 0.2187 0.029 <.001

R 2 0.490 N/A N/A

Adjusted R2 0.481 N/A N/A
Cluster 1



Constant 0.3266 0.031 <.001

Intervention arm (β1) 0.0258 0.044 .56

Optimization phase (β2) 0.0401 0.044 .37

Arm × phase (β1×β2) 0.3683 0.063 <.001

R 2 0.425 N/A N/A

Adjusted R2 0.416 N/A N/A
Cluster 2



Constant 0.5011 0.037 <.001

Intervention arm (β1) –0.0095 0.052 .86

Optimization phase (β2) –0.0017 0.052 .97

Arm × phase (β1×β2) 0.2812 0.074 <.001

R 2 0.191 N/A N/A

Adjusted R2 0.177 N/A N/A
Cluster 3



Constant 0.2719 0.022 <.001

Intervention arm (β1) –0.0125 0.031 .69

Optimization phase (β2) –0.0497 0.031 .11

Arm × phase (β1×β2) 0.1387 0.044 .002

R 2 0.090 N/A N/A

Adjusted R2 0.075 N/A N/A
Cluster 4



Constant 0.2876 0.024 <.001

Intervention arm (β1) 0.0053 0.034 .87

Optimization phase (β2) –0.0156 0.034 .65

Arm × phase (β1×β2) 0.0936 0.048 .05

R 2 0.055 N/A N/A

Adjusted R2 0.039 N/A N/A

aN/A: not applicable.