How Much Does School Spending Depend on Family Income? The Historical Origins of the Current School Finance Dilemma

Two crises in school finance likely to distress the economy over the long term:
1. Over the link between family income and per-student spending: To what extent should parents’ income determine the value spent on a child’s elementary and secondary schooling?
- The solution is important for two reason:
1. grounds of distributive justice
2. for macroeconomic growth
since it is not usually efficient to have the parents’ earnings as a basis of human-capital investment in a child. (Michele Boldrin, 1993; Roldan Benabou, 1996; Raquel Fernandez and Richard Rogerson, 1996).
2. In spite of the fact that property tax, which is the traditional and dominant source of revenue for public elementary and secondary education, may bear good economic properties given optimal conditions, there is growing political dissatisfaction with it.

The concerns of the study are the distribution of per student expenses in the United States; the change (if any) in the link between per student spending and property value; and lastly, the link between parents’ earnings and per student spending.
Fundamental to these concerns is a classic puzzle about revolutions:
Are the current crises because of the increasing system failure or of the rising expectations on what a school-finance system should be able to accomplish?

I. Empirical Strategy

The paper uses district-level data for Massachusetts, Illinois, and California – these states were chosen due to the data quality and representativeness. The data consist of records in expenditures, number of students at local equalized property valuation.
Concentrating on fiscal school districts, which are characterized as having considerable autonomy in revenue-raising and spending, is essential in studying school finance, since they are the suitable units to match with data on property values and per capita earnings. Fiscal districts should not be mistaken for attendance districts which do not independently raise taxes or establish spending.
The system that started the century by each state is based mainly on local property taxes. California’s fiscal districts are found to be consistently larger compared to Massachusetts and Illinois. Eventually the state governments were granted more control however they continued to depend on the property tax. In 1970, the states established a floor under per-student spending through reallocating funds from districts having high property value to districts with low property value per student. Moreover, during 1978 – 1980, California was pressured to move to statewide school finance such that the state has one fiscal district distributing funds on a strict per-student basis over the attendance districts.

II. Results

One of the findings shows that the inequality in per-pupil spending among districts, measured by the enrollment-weighted coefficient of variation was fairly stable from 1900 to 1990. The general 0.2 coefficient of variation implies that a standard deviation in per-student spending is roughly 20% of the mean. The student whose per-pupil spending is at the 95th, 90th and 75th percentile attends school that spends about 60%, 45% and 30% greater than the student at the 5th, 10th and 25th percentile, respectively. The scale of the value of inequality relies on whether the standard of comparison is absolute equality or income inequality.
In addition, there is an observed obvious parallelism between the time pattern in spending inequality and that of economy-wide income inequality. 1930’s and 1970’s were decades where there is apparent rise in spending and income inequality. 1940’s was marked with declining spending and income inequality.
In spite of the three states displaying rather similar patterns, Illinois started with a higher spending inequality, and California always had the lowest and least volatile spending inequality, which may be due to that fact that its huge fiscal districts included a broader array of professions and industries.
Another result exhibited the per-student valuation using the enrollment weighted coefficient of variation, and the equalized property valuation in calculating aid. The per-pupil valuation is comparatively less stable than per-pupil spending. In 1900 to 1990, a standard deviation in per-student valuation ranges from 55% to 65% of the mean. Also, there seems to have a long downward trend in the per-student valuation inequality, in contrast to per-student spending inequality. The trend is most likely from the decline in arbitrary differences in districts’ per-student valuation because of lumpy real-estate assets, in which taxation of such assets has become increasingly distinguished from housing property taxation. In addition, districts have merged, distributing these assets over a large number of children.
The main idea is that the link of per-student spending with per-pupil valuation is not rigid. Being rigid implies per-student spending inequality would have declined remarkably between 1900 and 1990.
Next, to net out the impact of economy-wide income inequality on the per-pupil spending and valuation inequality would allow the focus to be on whether the school finance systems are either operating differently over time or similarly in various environment.
Taking this idea into consideration, the unadjusted result shows that from 1970-1990 there is an increase in the between-district income inequality, however once adjusted for economy-wide income inequality the rising pattern is eliminated. This means that since 1970, with income as basis, there has been no increased distributing of households into districts.
In the study a regression (for Massachusetts) of per-pupil spending on per-pupil valuation, per capita income, percentage elderly, percentage school-age, and percentage high-school graduates was run and the result was as follows:
- Fraction of the population over the age of 65 has a relatively positive, statistically significant impact on per-pupil spending in 1900 and 1910, which means that an additional 1 percent of the population having an age over 65 increases the school spending by 0.5 percent. However, by 1990, the estimate of this coefficient steadily reverses sign such that it has relatively negative, statistically significant impact on per-pupil spending, which implies that an additional 1 percent of the population having an age over 65 decreases school spending by 0.7 percent.
- The percentage of households having school-age children has a steady negative sign
- The percentage of high-school graduate adults has a positive and statistically significant impact on per-pupil spending until 1950, but became insignificant afterwards.
- The per-pupil valuation and per capita earning are strong determinants of per-pupil spending
- An observed interesting pattern is that from 1900 to 1970, per capita income is by far a stronger determinant of per-pupil spending than per-pupil valuation. However past 1970, the explanatory power of per capita income drops.
- Another pattern is that in 1900 to 1990, elasticity of spending with regards to per capita income drops from roughly 0.35 to 0.06 and 0.12 for Massachusetts and Illinois, respectively.
- Two explanations for the result:
1. Over the past 20 years, grants to districts where low-income households reside have considerably developed such that low per capita income has now an uncertain impact on per-pupil spending.
2. Per-pupil valuation is increasingly an indicator of the local demand for per-pupil spending (or indicator for those elements of taste and household income that determine the demand for per-pupil spending).
- This is related to one of the result in which over the century there was an increase in the explanatory strength of per-pupil valuation, and in the estimated elasticity of per-pupil spending with regards to per-pupil evaluation.

III. Conclusions

Despite the definite dip of inequality in 1950, per-pupil spending inequality has been relatively constant over the century. Most of the volatilities in spending inequality were due to economy-wide modifications in the inequality of household earnings. Spending inequality does not show the same downward trend seen in per-pupil valuation.
Regressions of per-student spending on per capita income, and demographic variables reflect the strengthening of the link between spending and income in terms of explanatory power and elasticity of spending out income from 1900 to 1950, (and weakened afterwards). By 1990, statistically significant relation between local per capita earnings and per-pupil spending in Massachusetts was no longer observed. In the case of Illinois, results were more subtle. The explanatory power of per-pupil valuation rose from 1900 to 1990, regardless of school finance equalization programs. This is possibly because per-pupil valuation has increasingly become an indicator for the locally favored level of per-student spending.
Looking at California’s patterns of spending inequality (having the lowest level and smallest fluctuations from 1900-1970) it was unexpected that the state would have a school finance crisis in the 1970’s and would eventually discard local school finance in general. This implies that school finance crises are not essentially an effect of a systems break down, however it may be because of the mounting expectations about the equality a state’s school-finance should be able to accomplish.
  Two implications for economics:
1. Main view of link between income and spending may be too basic
- To reduce spending inequality it would perhaps be more realistic to focus on reducing income inequality than to reallocate the rising share of existing public-school revenues
2. Per-student valuation does matter for per-student spending, not because of arbitrary variations in real property tax, but due to the fact that per-pupil valuation is an increasingly proper measure of local demand for school spending.
Future school finance reforms must consider a more sophisticated understanding of valuation.



Source:
Caroline M. Hoxby, “How Much Does School Spending Depend on Family Income? The Historical Origins of the Current School Finance Dilemma”, American Economic Review, Vol. 88, No. 2. (May 1998), pp. 309-314

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