Context + education + attendance interaction checks (scored-student-weighted)

Context + education + attendance interaction checks (scored-student-weighted)
Metric: Percent Proficient
Attendance field: Attendance_Percent_Regular_Attenders
Generated: 2026-07-09 16:54:02

Context specs included:
- Income: ACS_Median_Household_Income
- Poverty: Students Experiencing Poverty

Notes: Predictors are z-scored. Interaction terms use products of z-scored predictors.
Models are compared against the base model (context + education + attendance).

Filters: Student Group = Total Population; All Grades dropped if grade-specific rows exist.

Context spec: Income (ACS_Median_Household_Income)

Dataset: SchoolDataWithAddressesAndCensusSES.csv
  Rows used: 3,365 (from 3,505)
  Students with reported Level 1-4 results: 253,682
  Base model R^2: 0.417
  R^2 with single interaction term (delta vs base)
    Income×education: 0.422 (Δ 0.005)
    Income×attendance: 0.427 (Δ 0.009)
    education×attendance: 0.432 (Δ 0.015)

  Full model with all three interactions
    R^2: 0.433 (Δ 0.015)
    Betas (z-scored predictors)
      Income: -0.025
      Education: 0.451
      Attendance: 0.319
      Income×Education: 0.013
      Income×Attendance: 0.015
      Education×Attendance: 0.107

Dataset: SchoolDataMathWithAddressesAndCensusSES.csv
  Rows used: 3,278 (from 3,419)
  Students with reported Level 1-4 results: 247,243
  Base model R^2: 0.517
  R^2 with single interaction term (delta vs base)
    Income×education: 0.526 (Δ 0.009)
    Income×attendance: 0.534 (Δ 0.018)
    education×attendance: 0.547 (Δ 0.030)

  Full model with all three interactions
    R^2: 0.547 (Δ 0.031)
    Betas (z-scored predictors)
      Income: -0.026
      Education: 0.415
      Attendance: 0.433
      Income×Education: 0.021
      Income×Attendance: 0.019
      Education×Attendance: 0.153

Dataset: SchoolDataScienceWithAddressesAndCensusSES.csv
  Rows used: 1,276 (from 1,330)
  Students with reported Level 1-4 results: 107,068
  Base model R^2: 0.349
  R^2 with single interaction term (delta vs base)
    Income×education: 0.360 (Δ 0.011)
    Income×attendance: 0.364 (Δ 0.015)
    education×attendance: 0.379 (Δ 0.030)

  Full model with all three interactions
    R^2: 0.380 (Δ 0.031)
    Betas (z-scored predictors)
      Income: -0.063
      Education: 0.438
      Attendance: 0.280
      Income×Education: 0.032
      Income×Attendance: -0.022
      Education×Attendance: 0.177


Context spec: Poverty (Students Experiencing Poverty)

Dataset: SchoolDataWithAddressesAndCensusSES.csv
  Rows used: 3,336 (from 3,505)
  Students with reported Level 1-4 results: 251,922
  Base model R^2: 0.537
  R^2 with single interaction term (delta vs base)
    Poverty×education: 0.548 (Δ 0.011)
    Poverty×attendance: 0.539 (Δ 0.003)
    education×attendance: 0.543 (Δ 0.007)

  Full model with all three interactions
    R^2: 0.549 (Δ 0.012)
    Betas (z-scored predictors)
      Poverty: -0.489
      Education: 0.153
      Attendance: 0.196
      Poverty×Education: -0.088
      Poverty×Attendance: 0.000
      Education×Attendance: 0.040

Dataset: SchoolDataMathWithAddressesAndCensusSES.csv
  Rows used: 3,249 (from 3,419)
  Students with reported Level 1-4 results: 245,447
  Base model R^2: 0.545
  R^2 with single interaction term (delta vs base)
    Poverty×education: 0.568 (Δ 0.023)
    Poverty×attendance: 0.566 (Δ 0.020)
    education×attendance: 0.567 (Δ 0.022)

  Full model with all three interactions
    R^2: 0.580 (Δ 0.034)
    Betas (z-scored predictors)
      Poverty: -0.280
      Education: 0.224
      Attendance: 0.358
      Poverty×Education: -0.102
      Poverty×Attendance: -0.078
      Education×Attendance: 0.055

Dataset: SchoolDataScienceWithAddressesAndCensusSES.csv
  Rows used: 1,264 (from 1,330)
  Students with reported Level 1-4 results: 106,378
  Base model R^2: 0.469
  R^2 with single interaction term (delta vs base)
    Poverty×education: 0.478 (Δ 0.010)
    Poverty×attendance: 0.478 (Δ 0.009)
    education×attendance: 0.484 (Δ 0.016)

  Full model with all three interactions
    R^2: 0.487 (Δ 0.019)
    Betas (z-scored predictors)
      Poverty: -0.472
      Education: 0.131
      Attendance: 0.182
      Poverty×Education: -0.054
      Poverty×Attendance: -0.030
      Education×Attendance: 0.085