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Enrollment Forecast 2022-2031

From the 12/08/2021 Demographic Study presentation

School YearPupils
(RADM)
2022-20232,543
2023-20242,554
2024-20252,591
2025-20262,607
2026-20272,634
2027-20282,631
2028-20292,645
2029-20302,644
2030-20312,653
2031-20322,661

The Cohort-Component Method Forecast

ccm
The McKibben forecast uses a different methodology than previous enrollment projections (the Cohort-Component Method)1

Expected future populations of age-gender cohorts are computed using a base-year population combined with age-specific fertility, mortality, and migration rates.

These are combined with historical enrollments by grade.

The required datasets are:

  • The 2010 Census population for the attendance area
  • A set of age-specific fertility rates for the district
  • A set of age-specific mortality rates for the district
  • A set of age-specific migration rates for the district
  • Historical enrollment figures by grade

Actual enrollments for this graph were obtained from the RI Department of Education 2 and the U.S. DOE Public Elementary/Secondary School Universe Survey Data 3

Cohort Survival Ratio Method Projections

chs method

All previous projections used the Cohort Survival Ratio method

  • Dr. McKibben described this as "the only game in town" until the mid-1990s
  • Not a Forecast, but projections based on mechanical extrapolations of observed enrollment counts
  • Very sensitive to noise in the birth counts
  • Long-term projections are evidently not very stable

East Greenwich Birth Count History 1853-1930 and 1990-2020

eg births
  • 1853-1930 counts obtained from public birth records at East Greenwich Town Hall 4
  • 1990-2020 counts obtained from various enrollment projections
  • Interestingly, the data shows sharp drops in births, usually around wars and economic downturns
  • There are no really big positive increases that are not recoveries from downturns

A Probability Model for Recent EG Births

quartiles and CI

A negative binomial probability model fits the last 31 years of births quite well.

  • The theoretical interquartile range is 102 to 119. We expect the number of births to fall in this range 50% of the time. In the data, 15 of 31 data points are in this range.
  • The theoretical 95% probability interval is 87 to 137. We expect the number of births to fall in this range 19 times out of 20. In the data, 2 of 31 data points are outside this interval. We expect 1.5.
  • In this model, the expected number of births is neither increasing nor decreasing. The fact that it fits the data pretty well indicates there is no strong evidence for a trend up or down in births.

Modeled Birth Count Probabilities

bc probs

This is a histogram of the birth count probabilities for a single year.

References and Footnotes

1Siegel, J. and D. Swanson The Methods and Materials of Demography: Second Edition, Academic Press: New York, New York. 2004, pp.561-601
2RI Department of Education October Enrollment Report 1998-2021
3U.S. Department of Education Public Elementary/Secondary School Universe Survey Data 1986-1997
4Birth records for 1931-1968 are stored at town hall, but are not public. Town manager Nota has discussed releasing only counts by day with the RI Department of Health and it may be possible to obtain these