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Last Published October 31, 2022 03:53 PM July 14, 2024 06:14 PM
Planned Number of Clusters 2020-2021 District 1: 2,324 students, 46 blocks (school-by-grade-by texting language fixed-effects) District 2: 2,106 students, 12 blocks (school-by-grade fixed-effects) District 3: 2,888 students, 33 blocks (school-by-grade fixed-effects) 2021-2022 District 1: 1,133 students, 47 blocks (school-by-grade-by texting language fixed-effects) District 2: 943 students, 12 blocks (school-by-grade fixed-effects) District 3: 1,246 students, 33 blocks (school-by-grade fixed-effects) District 4: 2,819 students, 34 blocks (school-by-grade-by texting language fixed-effects) District 5: 4,976 students, 66 blocks (school-by-grade-by texting language fixed-effects) District 6: 3,510 students, 36 blocks (school-by-grade-by texting language fixed-effects) District 7: 609 students, 18 blocks (school-by-grade fixed-effects) 2020-2021 (same-year effects sample sizes) District 1: 2,324 students, 46 blocks (school-by-grade-by texting language fixed-effects) District 2: 2,106 students, 12 blocks (school-by-grade fixed-effects) District 3: 2,888 students, 33 blocks (school-by-grade fixed-effects) 2021-2022 (same-year effects sample sizes) District 1: 1,133 students, 47 blocks (school-by-grade-by texting language fixed-effects) District 2: 943 students, 12 blocks (school-by-grade fixed-effects) District 3: 1,246 students, 33 blocks (school-by-grade fixed-effects) District 4: 2,819 students, 34 blocks (school-by-grade-by texting language fixed-effects) District 5: 4,976 students, 66 blocks (school-by-grade-by texting language fixed-effects) District 6: 3,510 students, 36 blocks (school-by-grade-by texting language fixed-effects) District 7: 609 students, 18 blocks (school-by-grade fixed-effects) 2022-2023 (same-year effects sample sizes) xxxxxxxxxxxxxx District 1: 1,133 students, 47 blocks (school-by-grade-by texting language fixed-effects) District 2: 943 students, 12 blocks (school-by-grade fixed-effects) District 3: 1,246 students, 33 blocks (school-by-grade fixed-effects) District 4: 2,819 students, 34 blocks (school-by-grade-by texting language fixed-effects) District 5: 4,976 students, 66 blocks (school-by-grade-by texting language fixed-effects) District 6: 3,510 students, 36 blocks (school-by-grade-by texting language fixed-effects) District 7: 609 students, 18 blocks (school-by-grade fixed-effects) District 8: 609 students, 18 blocks (school-by-grade fixed-effects) 2023-2024 (same-year effects sample sizes) District 4: 1,426 students, 33 blocks (school-by-grade-by texting language fixed-effects) District 5: xxx4,976 students, 66 blocks (school-by-grade-by texting language fixed-effects) District 6: xxx3,510 students, 36 blocks (school-by-grade-by texting language fixed-effects)
Planned Number of Observations 2020-2021 District 1: 2,324 students, 46 blocks (school-by-grade-by texting language fixed-effects) District 2: 2,106 students, 12 blocks (school-by-grade fixed-effects) District 3: 2,888 students, 33 blocks (school-by-grade fixed-effects) 2021-2022 District 1: 1,133 students, 47 blocks (school-by-grade-by texting language fixed-effects) District 2: 943 students, 12 blocks (school-by-grade fixed-effects) District 3: 1,246 students, 33 blocks (school-by-grade fixed-effects) District 4: 2,819 students, 34 blocks (school-by-grade-by texting language fixed-effects) District 5: 4,976 students, 66 blocks (school-by-grade-by texting language fixed-effects) District 6: 3,510 students, 36 blocks (school-by-grade-by texting language fixed-effects) District 7: 609 students, 18 blocks (school-by-grade fixed-effects) 2020-2021 (same-year effects sample sizes) District 1: 2,324 students, 46 blocks (school-by-grade-by texting language fixed-effects) District 2: 2,106 students, 12 blocks (school-by-grade fixed-effects) District 3: 2,888 students, 33 blocks (school-by-grade fixed-effects) 2021-2022 District 1: 1,133 students, 47 blocks (school-by-grade-by texting language fixed-effects) District 2: 943 students, 12 blocks (school-by-grade fixed-effects) District 3: 1,246 students, 33 blocks (school-by-grade fixed-effects) District 4: 2,819 students, 34 blocks (school-by-grade-by texting language fixed-effects) District 5: 4,976 students, 66 blocks (school-by-grade-by texting language fixed-effects) District 6: 3,510 students, 36 blocks (school-by-grade-by texting language fixed-effects) District 7: 609 students, 18 blocks (school-by-grade fixed-effects)
Sample size (or number of clusters) by treatment arms 2020-2021 District 1 - Treatment: 1,169 - Control: 1,155 - Total: 2,324 - Blocks: 46 District 2 - Treatment: 1,051 - Control: 1,055 - Total: 2,106 - Blocks: 12 District 3 - Treatment: 1,445 - Control: 1,443 - Total: 2,888 - Blocks: 33 2021-2022 District 1 - Treatment: 569 - Control: 564 - Total: 1,133 - Blocks: 47 District 2 - Treatment: 472 - Treatment: 471 - Total: 943 - Blocks: 12 District 3 - Treatment: 622 - Control: 624 - Total: 1,246 - Blocks: 33 District 4 - Treatment: 1,410 - Control: 1,409 - Total: 2,819 - Blocks: 34 District 5 - Treatment: 2,488 - Control: 2,488 - Total: 4,976 - Blocks: 66 District 6 - Treatment: 1,753 - Control: 1,757 - Total: 3,510 - Blocks: 36 District 7 - Treatment: 302 - Control: 307 - Total: 609 - Blocks: 18 2020-2021 (same-year effects sample sizes) District 1 - Treatment: 1,169 - Control: 1,155 - Total: 2,324 - Blocks: 46 District 2 - Treatment: 1,051 - Control: 1,055 - Total: 2,106 - Blocks: 12 District 3 - Treatment: 1,445 - Control: 1,443 - Total: 2,888 - Blocks: 33 2020-2021 Academic Year District Treatment Control Total # Blocks District 1 1,431 1,409 2,840 46 District 2 1,193 1,203 2,396 12 District 3 1,598 1,605 3,203 33 Total 4,222 4,217 8,439 91 2021-2022 District 1 - Treatment: 569 - Control: 564 - Total: 1,133 - Blocks: 47 District 2 - Treatment: 472 - Treatment: 471 - Total: 943 - Blocks: 12 District 3 - Treatment: 622 - Control: 624 - Total: 1,246 - Blocks: 33 District 4 - Treatment: 1,410 - Control: 1,409 - Total: 2,819 - Blocks: 34 District 5 - Treatment: 2,488 - Control: 2,488 - Total: 4,976 - Blocks: 66 District 6 - Treatment: 1,753 - Control: 1,757 - Total: 3,510 - Blocks: 36 District 7 - Treatment: 302 - Control: 307 - Total: 609 - Blocks: 18 2021-2022 District 1 - Treatment: 569 - Control: 564 - Total: 1,133 - Blocks: 47 District 2 - Treatment: 472 - Treatment: 471 - Total: 943 - Blocks: 12 District 3 - Treatment: 622 - Control: 624 - Total: 1,246 - Blocks: 33 District 4 - Treatment: 1,410 - Control: 1,409 - Total: 2,819 - Blocks: 34 District 5 - Treatment: 2,488 - Control: 2,488 - Total: 4,976 - Blocks: 66 District 6 - Treatment: 1,753 - Control: 1,757 - Total: 3,510 - Blocks: 36 District 7 - Treatment: 302 - Control: 307 - Total: 609 - Blocks: 18 2023-2024 District 4 - Treatment: 713 - Control: 713 - Total: 1,426 - Blocks: 33 District 5 - Treatment: 724 - Control: 724 - Total: 1,448 - Blocks: 35 District 6 - Treatment: 1,068 - Control: 1,051 - Total: 2,119 - Blocks: 72
Power calculation: Minimum Detectable Effect Size for Main Outcomes We used the PowerUp! tool for power analyses (Shiny App here: https://powerupr.shinyapps.io/index/), allocating 50% of students to the treatment and 50% to the control. Below are the minimum detectable effect sizes (SD units). 2020-2021 District 1: 46 blocks, harmonic mean across blocks = 15.83980 --> MDES = 0.170 SD District 2: 12 blocks, harmonic mean across blocks = 172.3907 --> MDES = 0.101 SD District 3: 33 blocks, harmonic mean across blocks = 72.02920 --> MDES = 0.094 SD 2021-2023 District 1: 47 blocks, harmonic mean across blocks = 11.03975 --> MDES = 0.201 SD District 2: 12 blocks, harmonic mean across blocks = 69.04140 --> MDES = 0.159 SD District 3: 33 blocks, harmonic mean across blocks = 29.79569 --> MDES = 0.146 SD District 4: 34 blocks, harmonic mean across blocks = 17.98736 --> MDES = 0.185 SD District 5: 66 blocks, harmonic mean across blocks = 56.84348 --> MDES = 0.075 SD District 6: 36 blocks, harmonic mean across blocks = 32.24948 --> MDES = 0.134 SD District 7: 18 blocks, harmonic mean across blocks = 31.09235 --> MDES = 0.194 SD We used the PowerUp! tool for power analyses (Shiny App here: https://powerupr.shinyapps.io/index/), allocating 50% of students to the treatment and 50% to the control. Below are the minimum detectable effect sizes (SD units). 2020-2021 (same-year effects sample sizes) District 1: 46 blocks, harmonic mean across blocks = 15.83980 --> MDES = 0.170 SD District 2: 12 blocks, harmonic mean across blocks = 172.3907 --> MDES = 0.101 SD District 3: 33 blocks, harmonic mean across blocks = 72.02920 --> MDES = 0.094 SD 2021-2022 (same-year effects sample sizes) District 1: 47 blocks, harmonic mean across blocks = 11.03975 --> MDES = 0.201 SD District 2: 12 blocks, harmonic mean across blocks = 69.04140 --> MDES = 0.159 SD District 3: 33 blocks, harmonic mean across blocks = 29.79569 --> MDES = 0.146 SD District 4: 34 blocks, harmonic mean across blocks = 17.98736 --> MDES = 0.185 SD District 5: 66 blocks, harmonic mean across blocks = 56.84348 --> MDES = 0.075 SD District 6: 36 blocks, harmonic mean across blocks = 32.24948 --> MDES = 0.134 SD District 7: 18 blocks, harmonic mean across blocks = 31.09235 --> MDES = 0.194 SD
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