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
Regenerated: 2026-08-06

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.
Percent Proficient is reconstructed as Number Proficient / Scored Performance Denominator.
Censored AAG context values use documented interval midpoints; raw tokens and bounds remain in the processed data.

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: 0.416
  R^2 with single interaction term (delta vs base)
    Income×education: 0.419 (Δ 0.004)
    Income×attendance: 0.426 (Δ 0.011)
    education×attendance: 0.431 (Δ 0.016)

  Full model with all three interactions
    R^2: 0.432 (Δ 0.016)
    Betas (z-scored predictors)
      Income: -0.020
      Education: 0.448
      Attendance: 0.324
      Income×Education: 0.004
      Income×Attendance: 0.028
      Education×Attendance: 0.103

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: 0.525 (Δ 0.008)
    Income×attendance: 0.537 (Δ 0.020)
    education×attendance: 0.549 (Δ 0.032)

  Full model with all three interactions
    R^2: 0.549 (Δ 0.033)
    Betas (z-scored predictors)
      Income: -0.025
      Education: 0.417
      Attendance: 0.436
      Income×Education: 0.015
      Income×Attendance: 0.027
      Education×Attendance: 0.154

Dataset: SchoolDataScienceWithAddressesAndCensusSES.csv
  Rows used: 1,276 (from 1,330)
  Students with reported Level 1-4 results: 107,068
  Base model R^2: 0.350
  R^2 with single interaction term (delta vs base)
    Income×education: 0.361 (Δ 0.011)
    Income×attendance: 0.366 (Δ 0.016)
    education×attendance: 0.381 (Δ 0.031)

  Full model with all three interactions
    R^2: 0.382 (Δ 0.032)
    Betas (z-scored predictors)
      Income: -0.062
      Education: 0.441
      Attendance: 0.282
      Income×Education: 0.033
      Income×Attendance: -0.020
      Education×Attendance: 0.176


Context spec: Poverty (Students Experiencing Poverty)

Dataset: SchoolDataWithAddressesAndCensusSES.csv
  Rows used: 3,360 (from 3,505)
  Students with reported Level 1-4 results: 253,602
  Base model R^2: 0.548
  R^2 with single interaction term (delta vs base)
    Poverty×education: 0.559 (Δ 0.012)
    Poverty×attendance: 0.551 (Δ 0.003)
    education×attendance: 0.555 (Δ 0.007)

  Full model with all three interactions
    R^2: 0.561 (Δ 0.013)
    Betas (z-scored predictors)
      Poverty: -0.490
      Education: 0.154
      Attendance: 0.195
      Poverty×Education: -0.089
      Poverty×Attendance: 0.001
      Education×Attendance: 0.040

Dataset: SchoolDataMathWithAddressesAndCensusSES.csv
  Rows used: 3,274 (from 3,419)
  Students with reported Level 1-4 results: 247,170
  Base model R^2: 0.561
  R^2 with single interaction term (delta vs base)
    Poverty×education: 0.585 (Δ 0.025)
    Poverty×attendance: 0.582 (Δ 0.022)
    education×attendance: 0.585 (Δ 0.025)

  Full model with all three interactions
    R^2: 0.597 (Δ 0.037)
    Betas (z-scored predictors)
      Poverty: -0.280
      Education: 0.229
      Attendance: 0.357
      Poverty×Education: -0.101
      Poverty×Attendance: -0.074
      Education×Attendance: 0.062

Dataset: SchoolDataScienceWithAddressesAndCensusSES.csv
  Rows used: 1,273 (from 1,330)
  Students with reported Level 1-4 results: 107,015
  Base model R^2: 0.482
  R^2 with single interaction term (delta vs base)
    Poverty×education: 0.494 (Δ 0.012)
    Poverty×attendance: 0.493 (Δ 0.011)
    education×attendance: 0.499 (Δ 0.017)

  Full model with all three interactions
    R^2: 0.503 (Δ 0.021)
    Betas (z-scored predictors)
      Poverty: -0.469
      Education: 0.137
      Attendance: 0.183
      Poverty×Education: -0.059
      Poverty×Attendance: -0.031
      Education×Attendance: 0.085